Ash Canyon, Nebraska NE008.txt [] Dendrochronology Program Library Run ASH5 Program COF 16:07 Wed 02 Jan 2002 Page 1 [] [] P R O G R A M C O F E C H A Version 6.06P 24475 ------------------------------------------------------------------------------------------------------------------------------------ QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS Title of run: ash5 File of DATED series: c:\crns\ash5.rwl CONTENTS: Part 1: Title page, options selected, summary, absent rings by series Part 2: Histogram of time spans Part 3: Master series with sample depth and absent rings by year Part 4: Bar plot of Master Dating Series Part 5: Correlation by segment of each series with Master Part 6: Potential problems: low correlation, divergent year-to-year changes, absent rings, outliers Part 7: Descriptive statistics RUN CONTROL OPTIONS SELECTED VALUE 1 Cubic smoothing spline 50% wavelength cutoff for filtering 32 years 2 Segments examined are 50 years lagged successively by 25 years 3 Autoregressive model applied A Residuals are used in master dating series and testing 4 Series transformed to logarithms Y Each series log-transformed for master dating series and testing 5 CORRELATION is Pearson (parametric, quantitative) Critical correlation, 99% confidence level .3281 6 Master dating series saved N 7 Ring measurements listed N 8 Parts printed 1234567 9 Absent rings are omitted from master series and segment correlations (Y) Time span of Master dating series is 1567 to 1997 431 years Continuous time span is 1567 to 1997 431 years Portion with two or more series is 1567 to 1997 431 years >> ash022 1978 absent in 1 of 34 series, but is not usually narrow: master index is -.189 **************************************** *C* Number of dated series 45 *C* *O* Master series 1567 1997 431 yrs *O* *F* Total rings in all series 8550 *F* *E* Total dated rings checked 8550 *E* *C* Series intercorrelation .721 *C* *H* Average mean sensitivity .381 *H* *A* Segments, possible problems 0 *A* *** Mean length of series 190.0 *** **************************************** ABSENT RINGS listed by SERIES: (See Master Dating Series for absent rings listed by year) ash021 9 absent rings: 1876 1900 1934 1936 1939 1952 1959 1964 1966 ash031 3 absent rings: 1936 1952 1956 ash061 1 absent rings: 1936 ash132 1 absent rings: 1880 ash161 1 absent rings: 1900 ash192 1 absent rings: 1876 ash222 1 absent rings: 1848 ash231 2 absent rings: 1875 1985 ash232 2 absent rings: 1875 1880 ash012 1 absent rings: 1961 ash032 1 absent rings: 1952 ash041 1 absent rings: 1875 ash091 1 absent rings: 1939 ash171 7 absent rings: 1900 1910 1911 1936 1939 1981 1985 ash181 1 absent rings: 1875 ash182 1 absent rings: 1875 ash022 11 absent rings: 1708 1896 1900 1934 1936 1939 1952 1978 1979 1985 1989 ash201 1 absent rings: 1939 ash202 1 absent rings: 1939 ash221 2 absent rings: 1847 1848 ash042 2 absent rings: 1875 1900 asx101 2 absent rings: 1591 1745 asx061 3 absent rings: 1708 1876 1939 asx021 1 absent rings: 1939 57 absent rings .667% PART 2: TIME PLOT OF TREE-RING SERIES: ash5 16:07 Wed 02 Jan 2002 Page 2 ------------------------------------------------------------------------------------------------------------------------------------ 1050 1100 1150 1200 1250 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900 1950 2000 2050 Ident Seq Time-span Yrs : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . . .<===========================>. . ash021 1 1716 1997 282 . . . . . . . . . . . . . . <======================> . . ash031 2 1749 1978 230 . . . . . . . . . . . . . . . <==================>. . ash061 3 1803 1997 195 . . . . . . . . . . . . . . . . <===============>. . ash071 4 1838 1997 160 . . . . . . . . . . . . . . .<======================>. . ash081 5 1766 1997 232 . . . . . . . . . . . . . . . . <===============>. . ash111 6 1830 1997 168 . . . . . . . . . . . . . . . . <================>. . ash112 7 1829 1997 169 . . . . . . . . . . . . . . . . .<============>. . ash122 8 1864 1997 134 . . . . . . . . . . . . . . . . .<============>. . ash132 9 1866 1997 132 . . . . . . . . . . . . . . . . <==============>. . ash161 10 1842 1997 156 . . . . . . . . . . . . . . . <==================>. . ash192 11 1808 1997 190 . . . . . . . . . . . . . . . .<=================>. . ash222 12 1818 1997 180 . . . . . . . . . . . . . . <=========================>. . ash231 13 1736 1997 262 . . . . . . . . . . . . . . <=========================>. . ash232 14 1735 1997 263 . . . . . . . . . . . . . . <======================> . . ash011 15 1736 1960 225 . . . . . . . . . . . . . . . . <================>. . ash012 16 1826 1995 170 . . . . . . . . . . . . . <============================>. . ash032 17 1704 1997 294 . . . . . . . . . . . . . . . <====================>. . ash041 18 1784 1995 212 . . . . . . . . . . . . . . . . <==============>. . ash091 19 1848 1997 150 . . . . . . . . . . . . . . . . .<============>. . ash121 20 1866 1997 132 . . . . . . . . . . . . . . . . . <==========>. . ash101 21 1888 1997 110 . . . . . . . . . . . . . . . . <==============>. . ash162 22 1842 1997 156 . . . . . . . . . . . . . . . . <==============>. . ash171 23 1845 1997 153 . . . . . . . . . . . . . . . . <================>. . ash181 24 1820 1997 178 . . . . . . . . . . . . . . . .<=================>. . ash182 25 1819 1997 179 . . . . . . . . . . . . . . . <===========> . . . ash321 26 1782 1907 126 . . . . . . . . . . . . <==================================>. . ash022 27 1642 1997 356 . . . . . . . . . . . . . . . . <=============>. . ash201 28 1855 1997 143 . . . . . . . . . . . . . . . . <==============>. . ash202 29 1846 1997 152 . . . . . . . . . . . . . . . . . <=========>. . ash211 30 1896 1997 102 . . . . . . . . . . . . . . . . <===============>. . ash221 31 1835 1997 163 . . . . . . . . . . . . . . . <====================>. . ash042 32 1782 1994 213 . . . . . . . . . . . . . . . . . <===========>. . ash212 33 1871 1997 127 . . . . . . . . . . .<=====================> . . . . . . asx102 34 1567 1785 219 . . . . . . . . . . .<=======================> . . . . . asx101 35 1567 1807 241 . . . . . . . . . . . . <==================> . . . . . asx081 36 1640 1837 198 . . . . . . . . . . . . <===============>. . . . . . asx083 37 1634 1796 163 . . . . . . . . . . . . . <===============> . . . . . asx611 38 1677 1833 157 . . . . . . . . . . . <=================> . . . . . . asx121 39 1590 1776 187 . . . . . . . . . . . <===================> . . . . . asx122 40 1602 1807 206 . . . . . . . . . . . . . . . .<=================>. . asx041 41 1810 1997 188 . . . . . . . . . . . . . .<================> . . . . asx011 42 1715 1888 174 . . . . . . . . . . . <=========================================>. . asx061 43 1574 1997 424 . . . . . . . . . . . <===========>. . . . . . . . asx062 44 1574 1698 125 . . . . . . . . . . . . . . . .<================> . . asx021 45 1814 1987 174 : : : : : : : : : : : : : : : : : : : : : 1050 1100 1150 1200 1250 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900 1950 2000 2050 PART 3: Master Dating Series: ash5 16:07 Wed 02 Jan 2002 Page 3 ------------------------------------------------------------------------------------------------------------------------------------ Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1600 -1.335 5 1650 -.972 9 1700 1.208 9 1750 1.015 16 1800 -.627 17 1601 1.059 5 1651 -.699 9 1701 .247 9 1751 -.295 16 1801 -.654 17 1602 -.323 6 1652 .411 9 1702 1.057 9 1752 .434 16 1802 .119 17 1603 .338 6 1653 .994 9 1703 .884 9 1753 .187 16 1803 .296 18 1604 -1.704 6 1654 -2.195 9 1704 -.148 10 1754 .250 16 1804 -.764 18 1605 -3.541 6 1655 .171 9 1705 .462 10 1755 -.672 16 1805 .322 18 1606 -.098 6 1656 .748 9 1706 -.294 10 1756 -2.481 16 1806 1.475 18 1607 -.538 6 1657 .751 9 1707 -.424 10 1757 -1.704 16 1807 .295 18 1608 .254 6 1658 .818 9 1708 -.844 10 2 1758 -1.298 16 1808 -.053 17 1609 .832 6 1659 .264 9 1709 -.510 10 1759 -1.272 16 1809 .830 17 1610 1.288 6 1660 -.640 9 1710 -.733 10 1760 -1.311 16 1810 .225 18 1611 .842 6 1661 .575 9 1711 -1.339 10 1761 .434 16 1811 .384 18 1612 .106 6 1662 -.410 9 1712 -1.101 10 1762 .368 16 1812 .066 18 1613 .224 6 1663 .319 9 1713 .066 10 1763 .791 16 1813 .272 18 1614 -.151 6 1664 -.358 9 1714 1.059 10 1764 .764 16 1814 -.137 19 1615 -.557 6 1665 -.375 9 1715 1.448 11 1765 .534 16 1815 .032 19 1616 .589 6 1666 .944 9 1716 2.180 12 1766 1.470 17 1816 .995 19 1567 .950 2 1617 -.704 6 1667 .620 9 1717 .039 12 1767 .465 17 1817 -1.732 19 1568 -1.939 2 1618 -.134 6 1668 -1.905 9 1718 -1.223 12 1768 .953 17 1818 -1.304 20 1569 .372 2 1619 -.479 6 1669 .429 9 1719 .007 12 1769 -.798 17 1819 -.213 21 1570 .247 2 1620 .387 6 1670 -.801 9 1720 -.331 12 1770 -.240 17 1820 .764 22 1571 1.209 2 1621 1.408 6 1671 -2.700 9 1721 -1.032 12 1771 .107 17 1821 1.074 22 1572 1.844 2 1622 1.016 6 1672 -.891 9 1722 .146 12 1772 -.648 17 1822 -.182 22 1573 1.029 2 1623 -.266 6 1673 .599 9 1723 .090 12 1773 -.808 17 1823 -.012 22 1574 .694 4 1624 -2.645 6 1674 .507 9 1724 -.554 12 1774 .385 17 1824 -3.563 22 1575 .163 4 1625 -.019 6 1675 .492 9 1725 -.477 12 1775 .868 17 1825 .108 22 1576 -.251 4 1626 .968 6 1676 1.157 9 1726 .043 12 1776 .674 17 1826 -1.724 23 1577 -.968 4 1627 1.321 6 1677 .249 10 1727 .204 12 1777 .859 16 1827 -.360 23 1578 -1.670 4 1628 .551 6 1678 .259 10 1728 .383 12 1778 1.203 16 1828 .416 23 1579 -2.426 4 1629 .775 6 1679 -1.763 10 1729 1.436 12 1779 -.913 16 1829 .073 24 1580 -.415 4 1630 .272 6 1680 .034 10 1730 .874 12 1780 1.322 16 1830 1.417 25 1581 -.560 4 1631 -.090 6 1681 -.292 10 1731 .396 12 1781 .615 16 1831 -.008 25 1582 -.796 4 1632 -.210 6 1682 .584 10 1732 1.440 12 1782 -.479 18 1832 .050 25 1583 .718 4 1633 1.035 6 1683 1.625 10 1733 .147 12 1783 .508 18 1833 .424 25 1584 1.058 4 1634 .572 7 1684 .301 10 1734 -1.439 12 1784 -.775 19 1834 1.313 24 1585 .616 4 1635 .216 7 1685 .455 10 1735 -1.747 13 1785 -.982 19 1835 -1.039 25 1586 .544 4 1636 -.844 7 1686 .136 10 1736 -2.112 15 1786 .884 18 1836 -.353 25 1587 .088 4 1637 -2.201 7 1687 .808 10 1737 .097 15 1787 -.006 18 1837 -.162 25 1588 .435 4 1638 -2.595 7 1688 -.360 10 1738 1.038 15 1788 -1.112 18 1838 -.001 25 1589 -.269 4 1639 -1.016 7 1689 -2.199 10 1739 .527 15 1789 -2.336 18 1839 .650 25 1590 1.028 5 1640 -.239 8 1690 -2.332 10 1740 1.483 15 1790 -.470 18 1840 1.155 25 1591 -2.888 5 1 1641 .520 8 1691 -.614 10 1741 -.153 15 1791 -1.270 18 1841 .892 25 1592 1.218 5 1642 .650 9 1692 .243 10 1742 -.495 15 1792 .560 18 1842 .482 27 1593 .143 5 1643 1.042 9 1693 -.427 10 1743 -.127 15 1793 .660 18 1843 .396 27 1594 .679 5 1644 .501 9 1694 .170 10 1744 -.046 15 1794 .950 18 1844 1.637 27 1595 1.181 5 1645 -1.354 9 1695 .745 10 1745 -.740 15 1 1795 1.129 18 1845 -.082 28 1596 .495 5 1646 1.399 9 1696 .044 10 1746 .150 15 1796 -.649 18 1846 -.770 29 1597 .457 5 1647 .688 9 1697 .763 10 1747 -.050 15 1797 .254 17 1847 -1.532 29 1 1598 -.053 5 1648 .064 9 1698 -.359 10 1748 1.433 15 1798 -.512 17 1848 -3.601 30 2 1599 1.481 5 1649 -.146 9 1699 1.221 9 1749 .795 16 1799 1.352 17 1849 -.247 30 PART 3: Master Dating Series: ash5 16:07 Wed 02 Jan 2002 Page 4 ------------------------------------------------------------------------------------------------------------------------------------ Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1850 -.198 30 1900 -2.792 36 5 1950 -.081 35 1851 .201 30 1901 -1.084 36 1951 .147 35 1852 -.068 30 1902 .247 36 1952 -.883 35 4 1853 .538 30 1903 .761 36 1953 .577 35 1854 .729 30 1904 -.285 36 1954 .217 35 1855 -.019 31 1905 .448 36 1955 .221 35 1856 -.228 31 1906 .814 36 1956 -.682 35 1 1857 -.656 31 1907 1.615 36 1957 .603 35 1858 1.653 31 1908 1.171 35 1958 1.202 35 1859 .784 31 1909 .079 35 1959 -2.291 35 1 1860 1.055 31 1910 -1.188 35 1 1960 -.071 35 1861 .406 31 1911 -1.658 35 1 1961 -1.001 34 1 1862 .429 31 1912 .111 35 1962 .755 34 1863 -1.427 31 1913 -.180 35 1963 -.248 34 1864 .310 32 1914 -1.405 35 1964 -1.119 34 1 1865 -.997 32 1915 .739 35 1965 .385 34 1866 -.584 34 1916 .183 35 1966 -1.446 34 1 1867 .202 34 1917 -1.617 35 1967 -.622 34 1868 .772 34 1918 .426 35 1968 .606 34 1869 1.390 34 1919 .471 35 1969 -.861 34 1870 .203 34 1920 -1.051 35 1970 -.387 34 1871 .269 35 1921 .638 35 1971 1.368 34 1872 -.451 35 1922 .535 35 1972 1.440 34 1873 -.300 35 1923 .359 35 1973 -.003 34 1874 -1.218 35 1924 1.108 35 1974 .710 34 1875 -1.501 35 6 1925 .959 35 1975 .892 34 1876 -1.652 35 3 1926 .934 35 1976 1.609 34 1877 -.131 35 1927 .788 35 1977 .680 34 1878 1.230 35 1928 1.301 35 1978 -.189 34 1<< 1879 .992 35 1929 .369 35 1979 -1.738 33 1 1880 -1.622 35 2 1930 1.020 35 1980 -.108 33 1881 -.553 35 1931 -.650 35 1981 -1.548 33 1 1882 1.009 35 1932 -.030 35 1982 -.133 33 1883 .197 35 1933 .298 35 1983 .565 33 1884 .403 35 1934 -2.440 35 2 1984 .778 33 1885 .540 35 1935 -.303 35 1985 -1.840 33 3 1886 -.490 35 1936 -2.559 35 5 1986 1.617 33 1887 .677 35 1937 -.438 35 1987 .012 33 1888 1.563 36 1938 .067 35 1988 -.060 32 1889 .055 35 1939 -2.581 35 8 1989 -1.709 32 1 1890 .333 35 1940 -1.134 35 1990 .478 32 1891 1.074 35 1941 -.479 35 1991 .466 32 1892 .228 35 1942 -.372 35 1992 -.798 32 1893 -.454 35 1943 -.505 35 1993 -1.413 32 1894 .866 35 1944 -.102 35 1994 -.007 32 1895 -.060 35 1945 .925 35 1995 .946 31 1896 -1.012 36 1 1946 .888 35 1996 1.253 29 1897 -.287 36 1947 1.769 35 1997 .552 29 1898 -.005 36 1948 1.845 35 1899 -.707 36 1949 .945 35 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: ash5 16:07 Wed 02 Jan 2002 Page 5 ------------------------------------------------------------------------------------------------------------------------------------ Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1600-e 1650-d 1700---------E 1750---------D 1800--c 1850---a 1900k 1601---------D 1651--c 1701-----A 1751---a 1801--c 1851-----A 1901-d 1602---a 1652------B 1702---------D 1752------B 1802-----@ 1852----@ 1902-----A 1603------A 1653---------D 1703--------D 1753-----A 1803------A 1853-------B 1903--------C 1604g 1654i 1704----a 1754-----A 1804--c 1854--------C 1904---a 1605n 1655-----A 1705-------B 1755--c 1805------A 1855----@ 1905-------B 1606----@ 1656--------C 1706---a 1756j 1806----------F 1856---a 1906--------C 1607--b 1657--------C 1707---b 1757g 1807------A 1857--c 1907----------F 1608------A 1658--------C 1708--c 1758-e 1808----@ 1858----------G 1908---------E 1609--------C 1659------A 1709--b 1759-e 1809--------C 1859--------C 1909-----@ 1610----------E 1660--c 1710--c 1760-e 1810-----A 1860---------D 1910-e 1611--------C 1661-------B 1711-e 1761------B 1811------B 1861------B 1911g 1612-----@ 1662---b 1712-d 1762------A 1812-----@ 1862------B 1912-----@ 1613-----A 1663------A 1713-----@ 1763--------C 1813------A 1863-f 1913---a 1614----a 1664---a 1714---------D 1764--------C 1814----a 1864------A 1914-f 1615--b 1665---a 1715----------F 1765-------B 1815----@ 1865-d 1915--------C 1616-------B 1666---------D 1716----------I 1766----------F 1816---------D 1866--b 1916-----A 1567---------D 1617--c 1667-------B 1717----@ 1767-------B 1817g 1867-----A 1917f 1568h 1618----a 1668h 1718-e 1768---------D 1818-e 1868--------C 1918------B 1569------A 1619--b 1669------B 1719----@ 1769--c 1819---a 1869----------F 1919-------B 1570-----A 1620------B 1670--c 1720---a 1770---a 1820--------C 1870-----A 1920-d 1571---------E 1621----------F 1671k 1721-d 1771-----@ 1821---------D 1871------A 1921-------C 1572----------G 1622---------D 1672-d 1722-----A 1772--c 1822---a 1872---b 1922-------B 1573---------D 1623---a 1673-------B 1723-----@ 1773--c 1823----@ 1873---a 1923------A 1574--------C 1624k 1674-------B 1724--b 1774------B 1824n 1874-e 1924---------D 1575-----A 1625----@ 1675-------B 1725--b 1775--------C 1825-----@ 1875-f 1925---------D 1576---a 1626---------D 1676---------E 1726----@ 1776--------C 1826g 1876g 1926---------D 1577-d 1627----------E 1677-----A 1727-----A 1777--------C 1827---a 1877----a 1927--------C 1578g 1628-------B 1678------A 1728------B 1778---------E 1828------B 1878----------E 1928----------E 1579j 1629--------C 1679g 1729----------F 1779-d 1829-----@ 1879---------D 1929------A 1580---b 1630------A 1680----@ 1730--------C 1780----------E 1830----------F 1880f 1930---------D 1581--b 1631----@ 1681---a 1731------B 1781-------B 1831----@ 1881--b 1931--c 1582--c 1632---a 1682-------B 1732----------F 1782--b 1832-----@ 1882---------D 1932----@ 1583--------C 1633---------D 1683----------F 1733-----A 1783-------B 1833------B 1883-----A 1933------A 1584---------D 1634-------B 1684------A 1734-f 1784--c 1834----------E 1884------B 1934j 1585-------B 1635-----A 1685-------B 1735g 1785-d 1835-d 1885-------B 1935---a 1586-------B 1636--c 1686-----A 1736h 1786--------D 1836---a 1886--b 1936j 1587-----@ 1637i 1687--------C 1737-----@ 1787----@ 1837----a 1887--------C 1937---b 1588------B 1638j 1688---a 1738---------D 1788-d 1838----@ 1888----------F 1938-----@ 1589---a 1639-d 1689i 1739-------B 1789i 1839--------C 1889-----@ 1939j 1590---------D 1640---a 1690i 1740----------F 1790--b 1840---------E 1890------A 1940-e 1591l 1641-------B 1691--b 1741----a 1791-e 1841---------D 1891---------D 1941--b 1592---------E 1642--------C 1692-----A 1742--b 1792-------B 1842-------B 1892-----A 1942---a 1593-----A 1643---------D 1693---b 1743----a 1793--------C 1843------B 1893---b 1943--b 1594--------C 1644-------B 1694-----A 1744----@ 1794---------D 1844----------G 1894--------C 1944----@ 1595---------E 1645-e 1695--------C 1745--c 1795---------E 1845----@ 1895----@ 1945---------D 1596-------B 1646----------F 1696----@ 1746-----A 1796--c 1846--c 1896-d 1946--------D 1597-------B 1647--------C 1697--------C 1747----@ 1797------A 1847f 1897---a 1947----------G 1598----@ 1648-----@ 1698---a 1748----------F 1798--b 1848n 1898----@ 1948----------G 1599----------F 1649----a 1699---------E 1749--------C 1799----------E 1849---a 1899--c 1949---------D PART 4: Master Bar Plot: ash5 16:07 Wed 02 Jan 2002 Page 6 ------------------------------------------------------------------------------------------------------------------------------------ Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1950----@ 1951-----A 1952-d 1953-------B 1954-----A 1955-----A 1956--c 1957-------B 1958---------E 1959i 1960----@ 1961-d 1962--------C 1963---a 1964-d 1965------B 1966-f 1967--b 1968-------B 1969-c 1970---b 1971----------E 1972----------F 1973----@ 1974--------C 1975---------D 1976----------F 1977--------C 1978---a 1979g 1980----@ 1981f 1982----a 1983-------B 1984--------C 1985g 1986----------F 1987----@ 1988----@ 1989g 1990-------B 1991-------B 1992--c 1993-f 1994----@ 1995---------D 1996----------E 1997-------B PART 5: CORRELATION OF SERIES BY SEGMENTS: ash5 16:07 Wed 02 Jan 2002 Page 5 ------------------------------------------------------------------------------------------------------------------------------------ Correlations of 50-year dated segments, lagged 25 years Flags: A = correlation under .3281 but highest as dated; B = correlation higher at other than dated position Seq Series Time_span 1550 1575 1600 1625 1650 1675 1700 1725 1750 1775 1800 1825 1850 1875 1900 1925 1950 1599 1624 1649 1674 1699 1724 1749 1774 1799 1824 1849 1874 1899 1924 1949 1974 1999 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 ash021 1716 1997 .84 .82 .78 .78 .76 .69 .68 .56 .46 .59 .54 2 ash031 1749 1978 .71 .70 .48 .51 .70 .76 .75 .77 .72 .68 3 ash061 1803 1997 .56 .69 .53 .73 .84 .78 .81 4 ash071 1838 1997 .68 .59 .60 .78 .86 .85 5 ash081 1766 1997 .67 .81 .76 .73 .80 .79 .71 .71 .73 6 ash111 1830 1997 .59 .57 .61 .76 .77 .65 7 ash112 1829 1997 .37 .35 .70 .74 .70 .60 8 ash122 1864 1997 .66 .69 .85 .86 .82 9 ash132 1866 1997 .50 .52 .74 .90 .86 10 ash161 1842 1997 .72 .68 .65 .74 .84 .83 11 ash192 1808 1997 .81 .68 .41 .51 .83 .85 .78 12 ash222 1818 1997 .79 .77 .87 .85 .85 .89 .79 13 ash231 1736 1997 .64 .67 .74 .79 .81 .73 .65 .76 .82 .80 14 ash232 1735 1997 .74 .77 .73 .80 .76 .64 .64 .77 .84 .75 15 ash011 1736 1960 .65 .64 .73 .74 .75 .79 .83 .87 .83 16 ash012 1826 1995 .72 .84 .77 .77 .78 .78 17 ash032 1704 1997 .63 .68 .75 .68 .69 .62 .68 .69 .68 .76 .72 18 ash041 1784 1995 .79 .78 .75 .78 .79 .80 .81 .78 19 ash091 1848 1997 .53 .53 .79 .81 .78 .82 20 ash121 1866 1997 .52 .60 .71 .79 .80 21 ash101 1888 1997 .73 .76 .82 .83 22 ash162 1842 1997 .57 .57 .74 .81 .80 .79 23 ash171 1845 1997 .50 .53 .65 .69 .80 .83 24 ash181 1820 1997 .76 .69 .62 .78 .92 .84 .79 25 ash182 1819 1997 .75 .71 .65 .72 .86 .80 .79 26 ash321 1782 1907 .58 .68 .62 .45 .48 27 ash022 1642 1997 .63 .61 .62 .80 .79 .67 .75 .82 .75 .77 .60 .35 .74 .79 28 ash201 1855 1997 .71 .77 .82 .73 .72 29 ash202 1846 1997 .72 .73 .81 .82 .83 .87 30 ash211 1896 1997 .81 .80 .80 .86 31 ash221 1835 1997 .78 .80 .87 .89 .90 .84 32 ash042 1782 1994 .79 .81 .84 .75 .81 .81 .85 .85 33 ash212 1871 1997 .80 .78 .86 .88 .85 34 asx102 1567 1785 .76 .75 .70 .80 .73 .60 .77 .75 .71 35 asx101 1567 1807 .77 .72 .75 .81 .66 .54 .75 .70 .57 .60 36 asx081 1640 1837 .47 .50 .64 .61 .52 .69 .74 .69 37 asx083 1634 1796 .66 .69 .82 .74 .69 .71 38 asx611 1677 1833 .45 .52 .62 .63 .60 .61 39 asx121 1590 1776 .69 .50 .68 .66 .62 .79 .64 .62 40 asx122 1602 1807 .56 .71 .69 .65 .71 .49 .40 .47 41 asx041 1810 1997 .45 .54 .68 .75 .68 .70 .75 42 asx011 1715 1888 .72 .70 .72 .77 .73 .62 .69 43 asx061 1574 1997 .76 .78 .77 .76 .73 .74 .70 .72 .80 .60 .49 .56 .69 .79 .79 .76 .75 44 asx062 1574 1698 .76 .78 .73 .73 .75 45 asx021 1814 1987 .71 .65 .58 .70 .78 .81 .80 Av segment correlation .76 .74 .67 .69 .67 .63 .71 .68 .68 .68 .70 .67 .66 .71 .77 .80 .78 PART 6: POTENTIAL PROBLEMS: ash5 16:07 Wed 02 Jan 2002 Page 7 ------------------------------------------------------------------------------------------------------------------------------------ For each series with potential problems the following diagnostics may appear: [A] Correlations with master dating series of flagged 50-year segments of series filtered with 32-year spline, at every point from ten years earlier (-10) to ten years later (+10) than dated [B] Effect of those data values which most lower or raise correlation with master series Symbol following year indicates value in series is greater (>) or lesser (<) than master series value [C] Year-to-year changes very different from the mean change in other series [D] Absent rings (zero values) [E] Values which are statistical outliers from mean for the year =================================================================================================================================== ash021 1716 to 1997 282 years Series 1 [B] Entire series, effect on correlation ( .738) is: Lower 1910> -.009 1983< -.008 1979> -.007 1799< -.006 1861< -.006 1846> -.006 Higher 1824 .015 1934 .008 [D] 9 Absent rings: Year Master N series Absent 1876 -1.652 35 3 1900 -2.792 36 5 1934 -2.440 35 2 1936 -2.559 35 5 1939 -2.581 35 8 1952 -.883 35 4 1959 -2.291 35 1 1964 -1.119 34 1 1966 -1.446 34 1 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1910 +3.5 SD =================================================================================================================================== ash031 1749 to 1978 230 years Series 2 [B] Entire series, effect on correlation ( .652) is: Lower 1824> -.019 1956< -.017 1959> -.011 1977< -.007 1821< -.007 1820< -.006 Higher 1939 .010 1936 .009 [D] 3 Absent rings: Year Master N series Absent 1936 -2.559 35 5 1952 -.883 35 4 1956 -.682 35 1 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1824 +3.8 SD; 1956 -5.9 SD =================================================================================================================================== ash061 1803 to 1997 195 years Series 3 [B] Entire series, effect on correlation ( .679) is: Lower 1809< -.020 1872> -.012 1822< -.010 1804> -.010 1863< -.008 1815< -.005 Higher 1848 .010 1985 .008 [D] 1 Absent rings: Year Master N series Absent 1936 -2.559 35 5 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1809 -4.7 SD; 1863 -6.7 SD; 1872 +3.1 SD =================================================================================================================================== ash071 1838 to 1997 160 years Series 4 [B] Entire series, effect on correlation ( .762) is: Lower 1885< -.015 1898< -.008 1913< -.007 1851< -.006 1922< -.006 1880> -.006 Higher 1959 .017 1848 .011 =================================================================================================================================== ash081 1766 to 1997 232 years Series 5 [B] Entire series, effect on correlation ( .745) is: Lower 1910> -.010 1994< -.009 1934> -.008 1845< -.005 1959> -.005 1993> -.005 Higher 1824 .018 1848 .010 =================================================================================================================================== ash111 1830 to 1997 168 years Series 6 [B] Entire series, effect on correlation ( .655) is: Lower 1847> -.018 1897< -.013 1985> -.012 1865> -.007 1987< -.007 1880> -.006 Higher 1959 .020 1939 .018 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1847 +4.1 SD =================================================================================================================================== ash112 1829 to 1997 169 years Series 7 [B] Entire series, effect on correlation ( .591) is: Lower 1854< -.031 1957< -.024 1865> -.013 1987< -.013 1992> -.013 1873> -.006 Higher 1939 .023 1979 .009 [E] Outliers 4 3.0 SD above or -4.5 SD below mean for year 1854 -4.8 SD; 1865 +3.4 SD; 1873 +3.1 SD; 1992 +3.2 SD =================================================================================================================================== ash122 1864 to 1997 134 years Series 8 [B] Entire series, effect on correlation ( .762) is: Lower 1887< -.011 1886< -.011 1899> -.009 1892> -.007 1920> -.006 1952> -.006 Higher 1959 .022 1934 .014 =================================================================================================================================== ash132 1866 to 1997 132 years Series 9 [B] Entire series, effect on correlation ( .726) is: Lower 1880< -.012 1909< -.008 1882< -.007 1896> -.007 1900> -.006 1888< -.006 Higher 1959 .013 1936 .005 [D] 1 Absent rings: Year Master N series Absent 1880 -1.622 35 2 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1910 -5.1 SD =================================================================================================================================== ash161 1842 to 1997 156 years Series 10 [B] Entire series, effect on correlation ( .771) is: Lower 1931> -.008 1867< -.007 1990< -.006 1882< -.006 1911> -.005 1908< -.005 Higher 1959 .014 1939 .011 [D] 1 Absent rings: Year Master N series Absent 1900 -2.792 36 5 =================================================================================================================================== ash192 1808 to 1997 190 years Series 11 [B] Entire series, effect on correlation ( .718) is: Lower 1880> -.024 1876< -.014 1992> -.010 1915< -.009 1863> -.008 1917> -.008 Higher 1824 .024 1934 .012 [D] 1 Absent rings: Year Master N series Absent 1876 -1.652 35 3 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1876 -7.0 SD; 1880 +3.6 SD =================================================================================================================================== ash222 1818 to 1997 180 years Series 12 [B] Entire series, effect on correlation ( .811) is: Lower 1826> -.010 1991< -.007 1823< -.007 1992< -.006 1923< -.005 1849< -.005 Higher 1824 .013 1959 .008 [D] 1 Absent rings: Year Master N series Absent 1848 -3.601 30 2 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1824 -5.4 SD =================================================================================================================================== ash231 1736 to 1997 262 years Series 13 [B] Entire series, effect on correlation ( .749) is: Lower 1773> -.007 1910> -.006 1894< -.006 1907< -.005 1812< -.005 1857< -.004 Higher 1936 .006 1985 .006 [D] 2 Absent rings: Year Master N series Absent 1875 -1.501 35 6 1985 -1.840 33 3 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1773 +3.1 SD; 1848 -5.1 SD =================================================================================================================================== ash232 1735 to 1997 263 years Series 14 [B] Entire series, effect on correlation ( .756) is: Lower 1784< -.010 1857< -.008 1872> -.007 1959> -.007 1910> -.005 1993> -.005 Higher 1848 .009 1934 .007 [D] 2 Absent rings: Year Master N series Absent 1875 -1.501 35 6 1880 -1.622 35 2 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1857 -4.6 SD =================================================================================================================================== ash011 1736 to 1960 225 years Series 15 [B] Entire series, effect on correlation ( .764) is: Lower 1769> -.006 1770< -.006 1959> -.006 1779> -.005 1777< -.005 1872> -.004 Higher 1848 .009 1939 .009 =================================================================================================================================== ash012 1826 to 1995 170 years Series 16 [B] Entire series, effect on correlation ( .756) is: Lower 1961< -.009 1837< -.008 1916< -.007 1835> -.005 1838< -.005 1973> -.005 Higher 1848 .011 1939 .010 [D] 1 Absent rings: Year Master N series Absent 1961 -1.001 34 1 =================================================================================================================================== ash032 1704 to 1997 294 years Series 17 [B] Entire series, effect on correlation ( .687) is: Lower 1861< -.010 1853< -.008 1725> -.006 1911< -.006 1910> -.005 1704> -.005 Higher 1934 .010 1900 .004 [D] 1 Absent rings: Year Master N series Absent 1952 -.883 35 4 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1725 +3.1 SD =================================================================================================================================== ash041 1784 to 1995 212 years Series 18 [B] Entire series, effect on correlation ( .772) is: Lower 1900< -.009 1875< -.007 1835> -.005 1784> -.005 1981> -.005 1880> -.004 Higher 1848 .008 1817 .006 [D] 1 Absent rings: Year Master N series Absent 1875 -1.501 35 6 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1900 -5.7 SD =================================================================================================================================== ash091 1848 to 1997 150 years Series 19 [B] Entire series, effect on correlation ( .738) is: Lower 1857< -.038 1863> -.010 1966> -.009 1858< -.007 1884< -.006 1880> -.005 Higher 1939 .015 1959 .013 [D] 1 Absent rings: Year Master N series Absent 1939 -2.581 35 8 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1857 -5.3 SD =================================================================================================================================== ash121 1866 to 1997 132 years Series 20 [B] Entire series, effect on correlation ( .712) is: Lower 1900> -.017 1888< -.012 1871< -.011 1969< -.009 1872> -.009 1910< -.008 Higher 1959 .027 1880 .013 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1900 +3.0 SD =================================================================================================================================== ash101 1888 to 1997 110 years Series 21 [B] Entire series, effect on correlation ( .787) is: Lower 1904< -.031 1989> -.008 1980< -.006 1949< -.005 1969> -.005 1935< -.005 Higher 1959 .025 1934 .013 =================================================================================================================================== ash162 1842 to 1997 156 years Series 22 [B] Entire series, effect on correlation ( .705) is: Lower 1872< -.020 1847> -.014 1849< -.011 1966> -.009 1886> -.009 1889< -.009 Higher 1959 .023 1880 .010 [C] Year-to-year changes diverging by over 4.0 std deviations: 1848 1849 -4.2 SD [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1847 +3.5 SD; 1848 +3.0 SD; 1872 -4.8 SD =================================================================================================================================== ash171 1845 to 1997 153 years Series 23 [B] Entire series, effect on correlation ( .712) is: Lower 1869< -.024 1845> -.011 1855> -.009 1882< -.008 1848> -.007 1969> -.007 Higher 1959 .019 1900 .013 [D] 7 Absent rings: Year Master N series Absent 1900 -2.792 36 5 1910 -1.188 35 1 1911 -1.658 35 1 1936 -2.559 35 5 1939 -2.581 35 8 1981 -1.548 33 1 1985 -1.840 33 3 =================================================================================================================================== ash181 1820 to 1997 178 years Series 24 [B] Entire series, effect on correlation ( .802) is: Lower 1863> -.011 1880> -.007 1826> -.007 1969< -.006 1848> -.006 1972< -.005 Higher 1939 .008 1934 .008 [D] 1 Absent rings: Year Master N series Absent 1875 -1.501 35 6 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1824 -5.2 SD =================================================================================================================================== ash182 1819 to 1997 179 years Series 25 [B] Entire series, effect on correlation ( .770) is: Lower 1965< -.011 1880> -.008 1891< -.008 1987> -.007 1848> -.006 1959> -.006 Higher 1936 .008 1985 .007 [D] 1 Absent rings: Year Master N series Absent 1875 -1.501 35 6 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1824 -4.9 SD =================================================================================================================================== ash321 1782 to 1907 126 years Series 26 [B] Entire series, effect on correlation ( .578) is: Lower 1883< -.016 1863> -.014 1865> -.013 1804< -.011 1784> -.010 1880> -.010 Higher 1789 .016 1848 .015 =================================================================================================================================== ash022 1642 to 1997 356 years Series 27 [B] Entire series, effect on correlation ( .726) is: Lower 1779> -.006 1910> -.006 1922< -.005 1651> -.005 1952< -.005 1685< -.004 Higher 1824 .010 1959 .010 [D] 11 Absent rings: Year Master N series Absent 1708 -.844 10 2 1896 -1.012 36 1 1900 -2.792 36 5 1934 -2.440 35 2 1936 -2.559 35 5 1939 -2.581 35 8 1952 -.883 35 4 1978 -.189 34 1 >> WARNING: Ring is not usually narrow 1979 -1.738 33 1 1985 -1.840 33 3 1989 -1.709 32 1 [E] Outliers 4 3.0 SD above or -4.5 SD below mean for year 1651 +3.1 SD; 1826 -5.2 SD; 1896 -5.2 SD; 1910 +3.3 SD =================================================================================================================================== ash201 1855 to 1997 143 years Series 28 [B] Entire series, effect on correlation ( .744) is: Lower 1970< -.025 1873< -.015 1966> -.008 1886> -.007 1892< -.006 1985> -.005 Higher 1959 .013 1900 .009 [D] 1 Absent rings: Year Master N series Absent 1939 -2.581 35 8 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1873 -4.6 SD; 1970 -4.9 SD =================================================================================================================================== ash202 1846 to 1997 152 years Series 29 [B] Entire series, effect on correlation ( .814) is: Lower 1973< -.008 1846> -.006 1872< -.005 1873< -.005 1865> -.005 1850> -.004 Higher 1959 .016 1939 .010 [D] 1 Absent rings: Year Master N series Absent 1939 -2.581 35 8 =================================================================================================================================== ash211 1896 to 1997 102 years Series 30 [B] Entire series, effect on correlation ( .823) is: Lower 1926< -.014 1928< -.014 1969< -.006 1946< -.006 1974< -.005 1989> -.004 Higher 1939 .012 1959 .012 =================================================================================================================================== ash221 1835 to 1997 163 years Series 31 [B] Entire series, effect on correlation ( .832) is: Lower 1923< -.008 1863> -.006 1849< -.006 1979> -.006 1846< -.005 1857> -.004 Higher 1959 .013 1934 .007 [D] 2 Absent rings: Year Master N series Absent 1847 -1.532 29 1 1848 -3.601 30 2 =================================================================================================================================== ash042 1782 to 1994 213 years Series 32 [B] Entire series, effect on correlation ( .801) is: Lower 1989> -.008 1875< -.007 1801< -.006 1933< -.005 1824> -.004 1850< -.004 Higher 1959 .008 1900 .006 [D] 2 Absent rings: Year Master N series Absent 1875 -1.501 35 6 1900 -2.792 36 5 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1848 -4.5 SD =================================================================================================================================== ash212 1871 to 1997 127 years Series 33 [B] Entire series, effect on correlation ( .834) is: Lower 1966> -.012 1924< -.010 1886> -.006 1897< -.003 1993< -.003 1885< -.003 Higher 1959 .016 1936 .009 =================================================================================================================================== asx102 1567 to 1785 219 years Series 34 [B] Entire series, effect on correlation ( .733) is: Lower 1684< -.014 1633< -.006 1584< -.006 1679> -.006 1632< -.005 1582> -.005 Higher 1591 .024 1654 .015 =================================================================================================================================== asx101 1567 to 1807 241 years Series 35 [B] Entire series, effect on correlation ( .712) is: Lower 1798< -.012 1689> -.008 1686< -.008 1695< -.006 1756> -.006 1679> -.005 Higher 1591 .026 1654 .011 [D] 2 Absent rings: Year Master N series Absent 1591 -2.888 5 1 Present in series 34 asx102 time span 1567 to 1785 Present in series 39 asx121 time span 1590 to 1776 Present in series 43 asx061 time span 1574 to 1997 Present in series 44 asx062 time span 1574 to 1698 1745 -.740 15 1 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1624 -4.8 SD =================================================================================================================================== asx081 1640 to 1837 198 years Series 36 [B] Entire series, effect on correlation ( .588) is: Lower 1749< -.026 1835> -.014 1656< -.008 1645> -.008 1675< -.008 1754< -.007 Higher 1756 .013 1789 .011 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1645 +3.1 SD =================================================================================================================================== asx083 1634 to 1796 163 years Series 37 [B] Entire series, effect on correlation ( .710) is: Lower 1671> -.018 1669< -.009 1768< -.009 1747< -.008 1681> -.006 1796> -.005 Higher 1654 .020 1689 .009 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1756 -5.0 SD =================================================================================================================================== asx611 1677 to 1833 157 years Series 38 [B] Entire series, effect on correlation ( .568) is: Lower 1690> -.017 1816< -.013 1796> -.012 1784> -.010 1813< -.009 1731< -.009 Higher 1824 .022 1817 .017 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1690 +4.1 SD =================================================================================================================================== asx121 1590 to 1776 187 years Series 39 [B] Entire series, effect on correlation ( .642) is: Lower 1698< -.023 1644< -.017 1679> -.012 1624> -.012 1620< -.009 1600> -.007 Higher 1591 .024 1668 .011 [E] Outliers 5 3.0 SD above or -4.5 SD below mean for year 1600 +3.4 SD; 1624 +3.9 SD; 1644 -4.6 SD; 1671 -4.7 SD; 1756 +3.3 SD =================================================================================================================================== asx122 1602 to 1807 206 years Series 40 [B] Entire series, effect on correlation ( .568) is: Lower 1798> -.017 1750< -.016 1687< -.014 1756> -.012 1787< -.011 1759< -.011 Higher 1668 .015 1654 .011 [C] Year-to-year changes diverging by over 4.0 std deviations: 1788 1789 4.3 SD [E] Outliers 5 3.0 SD above or -4.5 SD below mean for year 1605 +3.6 SD; 1606 +3.2 SD; 1758 +3.0 SD; 1788 -5.0 SD; 1798 +4.2 SD =================================================================================================================================== asx041 1810 to 1997 188 years Series 41 [B] Entire series, effect on correlation ( .639) is: Lower 1841< -.016 1817> -.012 1946< -.009 1949< -.008 1843< -.007 1810< -.006 Higher 1936 .013 1880 .009 =================================================================================================================================== asx011 1715 to 1888 174 years Series 42 [B] Entire series, effect on correlation ( .703) is: Lower 1835< -.017 1857> -.009 1860< -.009 1794< -.005 1791> -.004 1851< -.004 Higher 1880 .012 1824 .011 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1880 -4.9 SD =================================================================================================================================== asx061 1574 to 1997 424 years Series 43 [B] Entire series, effect on correlation ( .720) is: Lower 1847> -.005 1668> -.004 1817> -.004 1688< -.003 1739< -.003 1807> -.003 Higher 1654 .007 1591 .004 [D] 3 Absent rings: Year Master N series Absent 1708 -.844 10 2 1876 -1.652 35 3 1939 -2.581 35 8 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1876 -4.6 SD =================================================================================================================================== asx062 1574 to 1698 125 years Series 44 [B] Entire series, effect on correlation ( .761) is: Lower 1653< -.011 1614< -.010 1671> -.009 1684> -.008 1583< -.008 1672< -.008 Higher 1591 .028 1654 .017 =================================================================================================================================== asx021 1814 to 1987 174 years Series 45 [B] Entire series, effect on correlation ( .733) is: Lower 1890< -.009 1872< -.009 1857> -.008 1934> -.007 1822> -.007 1889> -.007 Higher 1959 .019 1900 .009 [D] 1 Absent rings: Year Master N series Absent 1939 -2.581 35 8 =================================================================================================================================== [*] All segments correlate highest as dated with correlation with master series over .3281 PART 7: DESCRIPTIVE STATISTICS: ash5 16:07 Wed 02 Jan 2002 Page 8 ------------------------------------------------------------------------------------------------------------------------------------ Corr //-------- Unfiltered --------\\ //---- Filtered -----\\ No. No. No. with Mean Max Std Auto Mean Max Std Auto AR Seq Series Interval Years Segmt Flags Master msmt msmt dev corr sens value dev corr () --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- 1 ash021 1716 1997 282 11 0 .738 .45 2.37 .424 .855 .504 2.63 .440 -.055 1 2 ash031 1749 1978 230 10 0 .652 .69 3.71 .506 .848 .315 2.57 .402 -.022 1 3 ash061 1803 1997 195 7 0 .679 1.24 4.50 .839 .771 .397 2.72 .398 -.009 1 4 ash071 1838 1997 160 6 0 .762 1.37 5.10 .982 .859 .336 2.78 .516 -.003 1 5 ash081 1766 1997 232 9 0 .745 .66 3.59 .495 .879 .307 2.68 .419 -.032 1 6 ash111 1830 1997 168 6 0 .655 1.24 4.79 1.000 .869 .290 2.81 .497 -.013 2 7 ash112 1829 1997 169 6 0 .591 1.03 3.92 .824 .840 .310 2.67 .414 -.012 3 8 ash122 1864 1997 134 5 0 .762 1.36 4.05 .754 .677 .384 2.61 .424 -.050 1 9 ash132 1866 1997 132 5 0 .726 .87 3.65 .617 .712 .429 2.53 .338 -.045 1 10 ash161 1842 1997 156 6 0 .771 .80 2.22 .463 .781 .355 2.66 .356 -.032 1 11 ash192 1808 1997 190 7 0 .718 1.19 3.69 .762 .852 .299 2.59 .364 -.016 3 12 ash222 1818 1997 180 7 0 .811 1.69 7.43 1.191 .791 .359 2.60 .359 .039 1 13 ash231 1736 1997 262 10 0 .749 .62 3.48 .490 .776 .487 2.58 .357 -.021 1 14 ash232 1735 1997 263 10 0 .756 .81 3.30 .634 .843 .413 2.67 .485 -.043 1 15 ash011 1736 1960 225 9 0 .764 .30 .76 .129 .448 .394 2.60 .413 .032 1 16 ash012 1826 1995 170 6 0 .756 .25 .61 .125 .551 .451 2.57 .429 -.009 1 17 ash032 1704 1997 294 11 0 .687 .71 2.75 .583 .900 .292 2.80 .432 -.032 1 18 ash041 1784 1995 212 8 0 .772 .63 3.29 .562 .834 .442 2.51 .345 -.008 1 19 ash091 1848 1997 150 6 0 .738 .93 2.94 .532 .733 .363 2.64 .437 -.026 1 20 ash121 1866 1997 132 5 0 .712 1.36 2.68 .579 .600 .342 2.54 .528 -.066 1 21 ash101 1888 1997 110 4 0 .787 1.07 2.85 .597 .502 .471 2.65 .474 .027 1 22 ash162 1842 1997 156 6 0 .705 1.15 2.85 .604 .693 .348 2.70 .405 -.011 1 23 ash171 1845 1997 153 6 0 .712 .64 2.17 .432 .749 .529 2.56 .415 -.008 1 24 ash181 1820 1997 178 7 0 .802 .95 4.13 .783 .840 .395 2.48 .318 -.038 1 25 ash182 1819 1997 179 7 0 .770 .99 2.89 .619 .770 .358 2.41 .289 -.050 1 26 ash321 1782 1907 126 5 0 .578 1.11 2.83 .593 .791 .289 2.71 .542 -.046 2 27 ash022 1642 1997 356 14 0 .726 .64 6.00 .679 .807 .470 2.61 .404 -.040 1 28 ash201 1855 1997 143 5 0 .744 1.33 3.92 .840 .722 .436 2.72 .538 .020 1 29 ash202 1846 1997 152 6 0 .814 1.01 2.95 .597 .695 .421 2.62 .475 -.017 1 30 ash211 1896 1997 102 4 0 .823 1.56 5.18 1.012 .680 .440 2.84 .498 -.049 1 31 ash221 1835 1997 163 6 0 .832 1.31 5.39 .934 .763 .401 2.70 .513 -.039 1 32 ash042 1782 1994 213 8 0 .801 .84 4.87 .801 .855 .481 2.56 .365 .019 1 33 ash212 1871 1997 127 5 0 .834 1.84 6.03 1.187 .741 .412 2.62 .441 -.051 1 34 asx102 1567 1785 219 9 0 .733 .81 2.57 .469 .708 .362 2.76 .417 -.047 1 35 asx101 1567 1807 241 10 0 .712 .65 3.51 .481 .722 .404 2.85 .434 -.037 1 36 asx081 1640 1837 198 8 0 .588 .81 2.32 .461 .746 .332 2.76 .438 -.014 1 37 asx083 1634 1796 163 6 0 .710 .85 2.51 .529 .731 .335 2.85 .423 .037 1 38 asx611 1677 1833 157 6 0 .568 1.12 3.31 .797 .880 .293 2.58 .406 .027 1 39 asx121 1590 1776 187 8 0 .642 .96 2.79 .532 .798 .284 2.70 .458 .022 1 40 asx122 1602 1807 206 8 0 .568 .49 1.28 .203 .508 .318 2.85 .464 .046 1 41 asx041 1810 1997 188 7 0 .639 1.59 6.48 1.406 .879 .357 2.68 .416 -.048 1 42 asx011 1715 1888 174 7 0 .703 1.43 4.06 .818 .638 .351 2.64 .354 -.020 1 43 asx061 1574 1997 424 17 0 .720 .87 2.56 .397 .597 .372 2.71 .359 -.040 1 44 asx062 1574 1698 125 5 0 .761 .55 1.16 .247 .338 .437 2.63 .543 .013 1 45 asx021 1814 1987 174 7 0 .733 .86 2.16 .450 .794 .301 2.69 .456 -.050 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 8550 331 0 .721 .92 7.43 .621 .749 .381 2.85 .420 -.020 - = [ COFECHA ASH5 COF ] = - RUN: ash final FILE NAMES FILE PROCESSED: ARSTAN.FIL DATA FILE PROCESSED: ash5.rwl LOG FILE PROCESSED: ash5.log TREE-RING DATA TYPE 1 !TUCSON RING-WIDTH FORMAT MISSING DATA FLAG FOR GAPS -9 !MISSING VALUE FLAG FOR GAPS DATA TRANSFORMATION OPTION 0 !NO DATA TRANSFORMATION FIRST DETRENDING OPTION 1 !1ST-NEG EXPONENTIAL CURVE, NO=OPT 3 SECOND DETRENDING OPTION 0 !2ND-NO DETRENDING PERFORMED ROBUST DETRENDING OPTION 1 !NON-ROBUST DETRENDING METHODS USED INTERACTIVE DETRENDING 2 !INTERACTIVE DETRENDING USED INDEX CALCULATION OPTION 1 !TREE-RING INDICES OR RATIOS (Rt/Gt) AR MODELING OPTION 1 !NON-ROBUST AUTOREGRESSIVE MODELING POOLED AR ORDER OPTION 0 !MINIMUM AIC POOLED AR MODEL ORDER SERIES AR ORDER OPTION 0 !POOLED AR ORDER TO ALL SERIES MEAN CHRONOLOGY OPTION 2 !ROBUST (BIWEIGHT) MEAN CHRONOLOGY VARIANCE STABILIZATION 1 !RBAR WEIGHTED STABILIZATION METHOD COMMON PERIOD FIRST YEAR 0 !NO COMMON PERIOD FIRST YEAR COMMON PERIOD LAST YEAR 0 !NO COMMON PERIOD LAST YEAR SITE-TREE-CORE MASK SSSTTCC !SITE-TREE-CORE SEPARATION MASK RUNNING RBAR SEGMENT LENGTH 50 !RUNNING RBAR WINDOW LENGTH RUNNING RBAR SEGMENT OVERLAP 25 !RUNNING RBAR WINDOW OVERLAP PRINTOUT OPTION 2 !SUMMARY & SERIES STATISTICS PRINTED CORE SERIES SAVE OPTION 0 !NO INDIVIDUAL CORE SERIES SAVED Generic files are produced with chronologies sorted by kind. File names are: crnsa.raw, crnsa.std, crnsa.res, crnsa.ars, and crnsa.rcs |======================== RAW DATA STATISTICAL ANALYSES =======================| |------------------- TREE-RING SERIES READ IN FOR PROCESSING ------------------| DATA HEADER LINES: SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 ash021 1716 1997 282 .449 .424 1.575 5.197 .504 .821 2 ash031 1749 1978 230 .692 .506 2.264 10.902 .315 .799 3 ash061 1803 1997 195 1.242 .839 .920 3.545 .397 .768 4 ash071 1838 1997 160 1.372 .982 1.434 4.426 .336 .845 5 ash081 1766 1997 232 .657 .495 2.243 9.652 .307 .809 6 ash111 1830 1997 168 1.240 1.000 1.725 5.253 .290 .850 7 ash112 1829 1997 169 1.032 .824 1.712 5.414 .310 .834 8 ash122 1864 1997 134 1.363 .754 .745 3.524 .384 .675 9 ash132 1866 1997 132 .872 .617 1.436 5.832 .429 .708 10 ash161 1842 1997 156 .799 .463 .822 3.696 .355 .757 11 ash192 1808 1997 190 1.187 .762 .832 2.773 .299 .842 12 ash222 1818 1997 180 1.690 1.191 2.107 7.950 .359 .789 13 ash231 1736 1997 262 .616 .490 2.070 10.736 .487 .772 14 ash232 1735 1997 263 .812 .634 1.240 4.446 .413 .839 15 ash011 1736 1960 225 .301 .129 .557 3.688 .394 .448 16 ash012 1826 1995 170 .247 .125 .479 3.059 .451 .551 17 ash032 1704 1997 294 .708 .583 1.576 4.852 .292 .900 18 ash041 1784 1995 212 .634 .562 2.037 7.712 .442 .803 19 ash091 1848 1997 150 .934 .532 1.021 3.787 .363 .727 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 ash121 1866 1997 132 1.365 .579 .295 2.450 .342 .598 21 ash101 1888 1997 110 1.071 .597 .745 3.263 .471 .500 22 ash162 1842 1997 156 1.148 .604 .524 2.813 .348 .674 23 ash171 1845 1997 153 .643 .432 .752 3.390 .529 .748 24 ash181 1820 1997 178 .947 .783 1.635 5.357 .395 .832 25 ash182 1819 1997 179 .991 .619 1.123 3.775 .358 .762 26 ash321 1782 1907 126 1.105 .593 .845 3.241 .289 .784 27 ash022 1642 1997 356 .642 .679 3.072 18.098 .470 .806 28 ash201 1855 1997 143 1.326 .840 .879 3.398 .436 .703 29 ash202 1846 1997 152 1.011 .597 .702 3.115 .421 .693 30 ash211 1896 1997 102 1.563 1.012 1.581 5.833 .440 .679 31 ash221 1835 1997 163 1.308 .934 1.672 6.480 .401 .761 32 ash042 1782 1994 213 .840 .801 1.941 7.242 .481 .829 33 ash212 1871 1997 127 1.842 1.187 1.194 4.261 .412 .733 34 asx102 1567 1785 219 .810 .469 .769 3.349 .362 .702 35 asx101 1567 1807 241 .651 .481 1.539 7.520 .404 .716 36 asx081 1640 1837 198 .814 .461 .799 3.446 .332 .745 37 asx083 1634 1796 163 .850 .529 1.255 4.282 .335 .731 38 asx611 1677 1833 157 1.119 .797 1.050 2.929 .293 .880 39 asx121 1590 1776 187 .961 .532 .971 3.941 .284 .795 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 40 asx122 1602 1807 206 .494 .203 .906 4.354 .318 .506 41 asx041 1810 1997 188 1.592 1.406 1.597 4.821 .357 .877 42 asx011 1715 1888 174 1.435 .818 .897 3.844 .351 .633 43 asx061 1574 1997 424 .870 .397 .573 3.470 .372 .594 44 asx062 1574 1698 125 .553 .247 .360 2.621 .437 .333 45 asx021 1814 1987 174 .857 .450 .782 3.438 .301 .780 NUMBER OF SERIES READ IN: 45 FROM 1567 TO 1997 431 YEARS |---------------- SUMMARY OF RAW TREE-RING SERIES STATISTICS ------------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 190 .970 .644 1.228 5.048 .379 .732 STANDARD DEVIATION 62 .364 .270 .600 2.869 .065 .120 MEDIAN (50TH QUANTILE) 174 .934 .597 1.050 3.941 .363 .761 INTERQUARTILE RANGE 60 .547 .320 .815 2.016 .097 .115 MINIMUM VALUE 102 .247 .125 .295 2.450 .284 .333 LOWER HINGE (25TH QUANTILE) 153 .692 .481 .782 3.398 .332 .693 UPPER HINGE (75TH QUANTILE) 213 1.240 .801 1.597 5.414 .429 .809 MAXIMUM VALUE 424 1.842 1.406 3.072 18.098 .529 .900 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD MEDIAN MINIMUM LOWER UPPER MAXIMUM CORRS RBAR DEVIATION ERROR CORR CORR HINGE HINGE CORR 778 .508 .210 .008 .533 -.226 .379 .660 .936 PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 78.59 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 26.00 MINIMUM CORRELATION: -.226 FOR SERIES 38 AND 42 119 YEARS MAXIMUM CORRELATION: .936 FOR SERIES 18 AND 32 211 YEARS |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1592. 1620. 1645. 1670. 1695. 1720. 1745. 1770. 1795. 1820. CORR 1. 10. 15. 36. 28. 36. 66. 78. 66. 78. RBAR .916 .419 .497 .319 .441 .542 .531 .522 .526 .504 SDEV .000 .240 .162 .215 .165 .200 .220 .206 .184 .168 SERR .000 .076 .042 .036 .031 .033 .027 .023 .023 .019 EPS .980 .818 .886 .815 .887 .932 .943 .948 .952 .955 NSS 4.6 6.2 7.9 9.4 9.9 11.6 14.6 16.7 17.7 21.1 YEAR 1845. 1870. 1895. 1920. 1945. 1970. CORR 190. 351. 496. 561. 561. 496. RBAR .518 .428 .397 .589 .681 .607 SDEV .174 .230 .241 .177 .125 .132 SERR .013 .012 .011 .007 .005 .006 EPS .967 .961 .959 .981 .987 .981 NSS 27.6 33.0 35.2 35.2 34.8 33.9 |======================== RAW DATA CHRONOLOGY STATISTICS ======================| |----------------- ROBUST MEAN RAW DATA CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1567 1997 431 .845 .347 .440 3.409 .286 .664 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED .783 .625 -.017 191 240 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.31 .78 1.01 1.09 1.87 8.14 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS .91 .11 .58 .86 .97 1.00 |--------------------- SEGMENT LENGTH SUMMARY STATISTICS ----------------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LENGTH RANGE LENGTH HINGE HINGE LENGTH 174. 60. 102. 153. 213. 424. |----------- RAW DATA CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF .662 .522 .433 .336 .278 .227 .187 .144 .192 .191 PACF .662 .149 .072 -.013 .021 .005 .006 -.017 .141 .025 95% C.L. .096 .132 .150 .161 .168 .172 .174 .176 .177 .179 |------------------ RAW DATA CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 3 .458 .563 .094 .077 |================== DETRENDED DATA CURVE FITS AND STATISTICS ==================| |------------------------ RESULTS OF FIRST DETRENDING -------------------------| |--------------- GROWTH CURVE USED FOR DETRENDING TREE-RING DATA --------------| CURVE OPTION -2: REGIONAL CURVE DETRENDING F(I) = ONE AGE-ALIGNED CURVE CURVE OPTION -1: FIRST-DIFFERENCES F(I) = Y(I) - Y(I-1) CURVE OPTION 1: NEG EXPON CURVE, NO = OPT 3 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 2: NEG EXPON CURVE, NO = OPT 4 F(I) = A*EXP(-B*T(I)) + D CURVE OPTION 3: LINEAR REGRESSION (ANY SLOPE) F(I) = +/-C*T(I) + D CURVE OPTION 4: LINEAR REGRESSION (NEG SLOPE) F(I) = -C*T(I) + D CURVE OPTION 5: HORIZONTAL LINE THROUGH MEAN F(I) = MEAN(Y(I)) = D CURVE OPTION 6: HUGERSHOFF GROWTH FUNCTION F(I) = A*T(I)**B * EXP(C*T(I)) CURVE OPTION 7: GENERAL EXPONENTIAL CURVE F(I) = A*T(I) * EXP(-B*T(I)) CURVE OPTION >9: CUBIC SMOOTHING SPLINE FIXED 50 PCT VARIANCE CUTOFF CURVE OPTION <-9: CUBIC SMOOTHING SPLINE PCT N 50 PCT VARIANCE CUTOFF SERIES IDENT OPTION A B C D 1 ash021 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1710 1.13 1.01 X 1 1.112 | 1 1720 1.03 .97 X 2 1.056 |2 1730 .59 .94 3 X .626 3 | 1740 .59 .90 4 X .652 4 | 1750 .74 .87 5 X .856 5 | 1760 1.35 .84 X 6 1.606 | 6 1770 1.16 .80 X 7 1.457 | 7 1780 .90 .74 X 8 1.209 | 8 1790 .68 .68 9 1.001 9 1800 .50 .61 0 X .816 0 | 1810 .31 .54 1 X .569 1 | 1820 .34 .48 2 X .723 2 | 1830 .54 .42 X 3 1.296 | 3 1840 .44 .36 X 4 1.216 | 4 1850 .22 .31 5 X .698 5 | 1860 .18 .27 6 X .646 6 | 1870 .21 .24 7X .906 7 | 1880 .17 .21 8X .793 8 | 1890 .12 .19 9 X .617 9 | 1900 .30 .18 X 0 1.681 | 0 1910 .23 .16 X 1 1.394 | 1 1920 .17 .15 2 1.096 |2 1930 .10 .14 3X .724 3 | 1940 .17 .14 X4 1.280 | 4 1950 .08 .13 5X .629 5 | 1960 .10 .13 6 .810 6 | 1970 .14 .12 X7 1.158 | 7 1980 .16 .12 X8 1.324 | 8 SERIES IDENT OPTION A B C D 2 ash031 1 1.48088200 .01681161 .00000000 .32063280 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1740 1.61 1.67 4X .945 4| 1750 1.34 1.46 5 X .925 5| 1760 1.48 1.29 X 6 1.160 | 6 1770 1.25 1.14 X 7 1.097 | 7 1780 1.11 1.01 X 8 1.094 | 8 1790 .71 .90 9 X .786 9 | 1800 .74 .81 0X .904 0| 1810 .39 .74 1 X .536 1 | 1820 .85 .67 X 2 1.265 | 2 1830 .96 .62 X 3 1.545 | 3 1840 .53 .57 4X .936 4| 1850 .44 .53 5 X .817 5 | 1860 .40 .50 6 X .795 6 | 1870 .53 .47 X7 1.117 | 7 1880 .45 .45 8 .997 8 1890 .48 .43 X9 1.114 | 9 1900 .45 .41 X0 1.096 | 0 1910 .65 .40 X 1 1.631 | 1 1920 .36 .39 2 .938 2| 1930 .29 .38 3 X .784 3 | 1940 .20 .37 4 X .538 4 | 1950 .33 .36 5X .925 5| 1960 .37 .35 X6 1.042 |6 SERIES IDENT OPTION A B C D 3 ash061 3 .00000000 .00000000 -.01019244 2.24098700 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1800 1.67 2.18 0 X .764 0 | 1810 2.08 2.08 1 .999 1 1820 2.18 1.98 X 2 1.104 |2 1830 2.87 1.88 X 3 1.525 | 3 1840 2.10 1.78 X 4 1.177 | 4 1850 1.67 1.68 5 .997 5 1860 1.05 1.57 6 X .672 6 | 1870 1.05 1.47 7 X .716 7 | 1880 1.22 1.37 8 X .901 8 | 1890 .66 1.27 9 X .517 9 | 1900 1.29 1.17 X0 1.107 | 0 1910 1.37 1.06 X 1 1.289 | 1 1920 1.59 .96 X 2 1.652 | 2 1930 .32 .86 3 X .365 3 | 1940 .84 .76 X4 1.104 |4 1950 .68 .66 X5 1.043 |5 1960 .51 .55 6X .920 6| 1970 .60 .45 X 7 1.305 | 7 1980 .32 .35 8 .900 8 | SERIES IDENT OPTION A B C D 4 ash071 1 3.49819300 .03765456 .00000000 .80350440 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1830 3.55 3.66 3X .970 3| 1840 2.90 2.77 X 4 1.052 |4 1850 2.48 2.15 X 5 1.136 | 5 1860 1.08 1.73 6 X .614 6 | 1870 1.58 1.44 X7 1.094 | 7 1880 1.61 1.24 X 8 1.296 | 8 1890 .71 1.10 9 X .652 9 | 1900 .82 1.01 0 X .810 0 | 1910 1.33 .94 X 1 1.410 | 1 1920 .71 .90 2 X .786 2 | 1930 .89 .87 3 1.028 3 1940 1.06 .85 X 4 1.250 | 4 1950 .71 .83 5X .854 5 | 1960 1.11 .82 X 6 1.341 | 6 1970 .71 .82 7X .866 7 | 1980 .70 .81 8X .860 8 | SERIES IDENT OPTION A B C D 5 ash081 1 2.10441200 .04483091 .00000000 .45940810 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1760 1.96 2.12 6 X .922 6| 1770 1.78 1.52 X 7 1.163 | 7 1780 1.05 1.14 8X .934 8| 1790 .89 .89 9 1.000 9 1800 .75 .74 0 1.023 0 1810 .50 .64 1 X .793 1 | 1820 .68 .57 X2 1.188 | 2 1830 .52 .53 3 .981 3 1840 .47 .51 4X .924 4| 1850 .56 .49 X 5 1.145 |5 1860 .42 .48 6X .867 6 | 1870 .31 .47 7 X .665 7 | 1880 .46 .47 8 .995 8 1890 .31 .46 9 X .676 9 | 1900 .44 .46 0X .944 0| 1910 .80 .46 X 1 1.730 | 1 1920 1.02 .46 X 2 2.204 | 2 1930 .38 .46 3 X .823 3 | 1940 .63 .46 X 4 1.368 | 4 1950 .39 .46 5X .848 5 | 1960 .36 .46 6 X .773 6 | 1970 .24 .46 7 X .512 7 | 1980 .27 .46 8 X .596 8 | SERIES IDENT OPTION A B C D 5 ash081 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1760 1.96 1.74 X 6 1.125 | 6 1770 1.78 1.49 X 7 1.185 | 7 1780 1.05 1.26 8 X .838 8 | 1790 .89 1.05 9 X .848 9 | 1800 .75 .87 0 X .865 0 | 1810 .50 .72 1 X .696 1 | 1820 .68 .61 X2 1.111 | 2 1830 .52 .54 3X .976 3 1840 .47 .48 4X .970 4| 1850 .56 .45 X 5 1.240 | 5 1860 .42 .44 6X .947 6| 1870 .31 .44 7 X .708 7 | 1880 .46 .46 8 1.012 8 1890 .31 .49 9 X .644 9 | 1900 .44 .52 0X .841 0 | 1910 .80 .54 X 1 1.461 | 1 1920 1.02 .55 X 2 1.839 | 2 1930 .38 .54 3 X .706 3 | 1940 .63 .50 X 4 1.236 | 4 1950 .39 .46 5X .851 5 | 1960 .36 .40 6X .892 6 | 1970 .24 .35 7 X .671 7 | 1980 .27 .29 8 .954 8| SERIES IDENT OPTION A B C D 6 ash111 1 3.62846500 .02645973 .00000000 .44362110 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1830 3.42 3.59 3 X .966 3 | 1840 3.32 2.86 X 4 1.161 | 4 1850 2.35 2.30 5 1.026 |5 1860 1.73 1.87 6X .922 6 | 1870 1.47 1.54 7X .968 7 | 1880 1.06 1.28 8 X .835 8 | 1890 .92 1.09 9 X .844 9 | 1900 1.01 .94 0 1.084 | 0 1910 .84 .82 X1 1.016 |1 1920 .86 .73 X2 1.175 | 2 1930 .58 .67 3X .870 3 | 1940 .54 .61 4 .889 4 | 1950 .63 .58 5 1.091 | 5 1960 .69 .54 X6 1.259 | 6 1970 .59 .52 X7 1.137 | 7 1980 .48 .50 8 .963 8 | SERIES IDENT OPTION A B C D 7 ash112 1 2.84647300 .02778569 .00000000 .44001770 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1820 2.75 2.89 2 X .957 2| 1830 2.76 2.30 X 3 1.193 | 3 1840 1.80 1.85 4 .965 4| 1850 1.02 1.50 5 X .679 5 | 1860 .96 1.25 6 X .771 6 | 1870 1.11 1.05 X7 1.056 |7 1880 .85 .90 8 .935 8| 1890 1.04 .79 X 9 1.332 | 9 1900 1.09 .71 X 0 1.535 | 0 1910 1.01 .64 X 1 1.583 | 1 1920 .62 .59 2 1.039 |2 1930 .49 .56 3X .890 3 | 1940 .51 .53 4 .975 4| 1950 .48 .51 5X .947 5| 1960 .43 .49 6 .870 6 | 1970 .30 .48 7 X .618 7 | SERIES IDENT OPTION A B C D 8 ash122 3 .00000000 .00000000 -.01225428 2.19043300 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1860 1.69 2.15 6 X .785 6 | 1865 2.43 2.09 X 6 1.157 | 6 1870 1.62 2.03 7 X .797 7 | 1875 1.99 1.97 7 1.011 7 1880 1.63 1.91 8 X .853 8 | 1885 2.67 1.85 X 8 1.445 | 8 1890 1.96 1.79 X 9 1.095 | 9 1895 1.79 1.72 X9 1.039 |9 1900 2.28 1.66 X 0 1.374 | 0 1905 1.53 1.60 0X .954 0| 1910 1.37 1.54 1 X .891 1 | 1915 1.60 1.48 X 1 1.084 |1 1920 2.04 1.42 X 2 1.438 | 2 1925 1.41 1.36 X2 1.038 |2 1930 .47 1.30 3 X .362 3 | 1935 .43 1.23 3 X .354 3 | 1940 1.01 1.17 4 X .867 4 | 1945 .98 1.11 4 X .888 4 | 1950 1.35 1.05 X 5 1.283 | 5 1955 .55 .99 5 X .553 5 | 1960 .67 .93 6 X .721 6 | 1965 1.32 .87 X 6 1.528 | 6 1970 1.12 .81 X 7 1.386 | 7 1975 .66 .74 7X .894 7 | 1980 .73 .68 8 1.064 |8 1985 .60 .62 8X .965 8| SERIES IDENT OPTION A B C D 9 ash132 3 .00000000 .00000000 -.00937987 1.49618600 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1865 2.10 1.47 X 6 1.433 | 6 1870 1.02 1.42 7 X .716 7 | 1875 1.06 1.37 7 X .768 7 | 1880 .94 1.33 8 X .710 8 | 1885 1.15 1.28 8 X .905 8| 1890 2.11 1.23 X 9 1.713 | 9 1895 1.58 1.19 X 9 1.334 | 9 1900 1.54 1.14 X 0 1.350 | 0 1905 .84 1.09 0 X .767 0 | 1910 .53 1.05 1 X .504 1 | 1915 .53 1.00 1 X .526 1 | 1920 1.17 .95 X 2 1.229 | 2 1925 1.42 .91 X 2 1.563 | 2 1930 .42 .86 3 X .486 3 | 1935 .21 .81 3 X .256 3 | 1940 .48 .76 4 X .632 4 | 1945 .91 .72 X 4 1.263 | 4 1950 .88 .67 X 5 1.309 | 5 1955 .65 .62 5 1.046 |5 1960 .56 .58 6 .966 6 1965 .43 .53 6X .820 6 | 1970 .89 .48 X 7 1.845 | 7 1975 .59 .44 X 7 1.336 | 7 1980 .33 .39 8X .846 8 | 1985 .36 .34 X8 1.061 |8 1990 .21 .30 9X .722 9 | SERIES IDENT OPTION A B C D 10 ash161 1 1.23465100 .03533651 .00000000 .58023300 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 1.44 1.60 4 X .888 4 | 1850 1.46 1.30 X 5 1.129 | 5 1860 1.07 1.08 6 .985 6 1870 .94 .93 7 1.020 |7 1880 1.29 .83 X 8 1.559 | 8 1890 .79 .75 X9 1.042 |9 1900 .20 .70 0 X .290 0 | 1910 .32 .67 1 X .476 1 | 1920 .86 .64 X 2 1.345 | 2 1930 .40 .62 3 X .633 3 | 1940 .66 .61 X4 1.075 |4 1950 .49 .60 5 X .811 5 | 1960 .57 .59 6X .961 6 1970 .86 .59 X 7 1.454 | 7 1980 .67 .59 X 8 1.146 | 8 SERIES IDENT OPTION A B C D 10 ash161 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 1.44 1.50 4X .958 4| 1850 1.46 1.33 X 5 1.097 | 5 1860 1.07 1.18 6 X .909 6| 1870 .94 1.03 7 X .925 7| 1880 1.29 .89 X 8 1.461 | 8 1890 .79 .74 X 9 1.051 |9 1900 .20 .61 0 X .333 0 | 1910 .32 .54 1 X .588 1 | 1920 .86 .52 X 2 1.656 | 2 1930 .40 .52 3 X .755 3 | 1940 .66 .55 X 4 1.201 | 4 1950 .49 .58 5 X .841 5 | 1960 .57 .63 6 X .908 6| 1970 .86 .68 X 7 1.268 | 7 1980 .67 .72 8X .933 8| SERIES IDENT OPTION A B C D 11 ash192 1 2.08614000 .02002574 .00000000 .65583990 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1800 2.56 2.53 0 1.016 0 1810 2.09 2.19 1 X .958 1 1820 2.32 1.91 X 2 1.213 | 2 1830 1.88 1.68 X 3 1.109 |3 1840 .97 1.50 4 X .650 4 | 1850 1.08 1.34 5 X .794 5 | 1860 .60 1.22 6 X .486 6 | 1870 .80 1.12 7 X .719 7 | 1880 1.15 1.03 X8 1.116 |8 1890 1.48 .96 X 9 1.541 | 9 1900 1.52 .91 X 0 1.672 | 0 1910 1.90 .86 X 1 2.197 | 1 1920 .86 .83 2 1.041 2 1930 .61 .79 3 X .767 3 | 1940 .67 .77 4 X .870 4 | 1950 .38 .75 5 X .508 5 | 1960 .68 .73 6X .934 6| 1970 .52 .72 7 X .730 7 | 1980 .48 .71 8 X .676 8 | SERIES IDENT OPTION A B C D 11 ash192 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1800 2.56 2.48 X0 1.035 |0 1810 2.09 2.20 1 X .953 1| 1820 2.32 1.92 X 2 1.208 | 2 1830 1.88 1.64 X 3 1.133 | 3 1840 .97 1.40 4 X .695 4 | 1850 1.08 1.22 5 X .875 5 | 1860 .60 1.11 6 X .533 6 | 1870 .80 1.09 7 X .735 7 | 1880 1.15 1.12 8 1.022 |8 1890 1.48 1.17 X 9 1.260 | 9 1900 1.52 1.18 X 0 1.287 | 0 1910 1.90 1.14 X 1 1.666 | 1 1920 .86 1.03 2 X .822 2 | 1930 .61 .90 3 X .683 3 | 1940 .67 .78 4 X .856 4 | 1950 .38 .67 5 X .570 5 | 1960 .68 .58 X6 1.200 | 6 1970 .52 .50 7 1.061 |7 1980 .48 .42 8 1.132 | 8 SERIES IDENT OPTION A B C D 12 ash222 1 3.02987400 .00785208 .00000000 .07465979 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 1.38 2.98 1 X .469 1 | 1820 3.69 2.76 X 2 1.338 | 2 1830 4.25 2.56 X 3 1.651 | 3 1840 2.34 2.37 4 .995 4 1850 2.07 2.19 5X .939 5| 1860 1.38 2.03 6 X .674 6 | 1870 1.75 1.89 7X .930 7| 1880 1.73 1.75 8X .986 8 1890 1.54 1.62 9 .953 9| 1900 1.35 1.51 0X .898 0 | 1910 1.56 1.40 X 1 1.115 | 1 1920 1.14 1.30 2X .874 2 | 1930 .95 1.21 3 X .793 3 | 1940 1.14 1.12 4 1.012 4 1950 .92 1.04 5X .881 5 | 1960 1.21 .97 X 6 1.253 | 6 1970 1.11 .90 X 7 1.236 | 7 1980 .89 .84 8 1.065 |8 SERIES IDENT OPTION A B C D 13 ash231 1 1.21302900 .01630753 .00000000 .33798550 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1730 1.68 1.45 X 3 1.144 |3 1740 .94 1.28 4 X .725 4 | 1750 .69 1.14 5 X .620 5 | 1760 1.21 1.02 X 6 1.192 | 6 1770 1.08 .92 X 7 1.177 | 7 1780 1.03 .83 X 8 1.241 | 8 1790 .98 .76 X 9 1.307 | 9 1800 .76 .69 X 0 1.086 |0 1810 .75 .64 X 1 1.167 | 1 1820 .61 .59 X2 1.037 2 1830 .59 .56 3 1.070 3 1840 .35 .52 4 X .668 4 | 1850 .18 .49 5 X .357 5 | 1860 .14 .47 6 X .303 6 | 1870 .22 .45 7 X .493 7 | 1880 .25 .43 8 X .585 8 | 1890 .45 .42 9 1.069 9 1900 .76 .41 X 0 1.869 | 0 1910 .84 .40 X 1 2.114 | 1 1920 .62 .39 X 2 1.604 | 2 1930 .38 .38 3 1.009 3 1940 .54 .37 X 4 1.444 | 4 1950 .24 .37 5 X .643 5 | 1960 .29 .36 6 X .796 6 | 1970 .21 .36 7 X .586 7 | 1980 .23 .36 8 X .650 8 | SERIES IDENT OPTION A B C D 13 ash231 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1730 1.68 1.33 X 3 1.251 | 3 1740 .94 1.23 4 X .758 4 | 1750 .69 1.14 5 X .615 5 | 1760 1.21 1.06 X 6 1.146 | 6 1770 1.08 .98 X 7 1.099 |7 1780 1.03 .90 X 8 1.138 | 8 1790 .98 .83 X 9 1.196 | 9 1800 .76 .75 0 1.007 0 1810 .75 .67 X 1 1.122 | 1 1820 .61 .59 X2 1.047 |2 1830 .59 .52 X3 1.144 | 3 1840 .35 .46 4 X .758 4 | 1850 .18 .42 5 X .419 5 | 1860 .14 .40 6 X .358 6 | 1870 .22 .40 7 X .556 7 | 1880 .25 .41 8 X .615 8 | 1890 .45 .44 9 1.022 9 1900 .76 .46 X 0 1.660 | 0 1910 .84 .47 X 1 1.777 | 1 1920 .62 .47 X 2 1.330 | 2 1930 .38 .45 3X .855 3 | 1940 .54 .42 X 4 1.272 | 4 1950 .24 .38 5 X .613 5 | 1960 .29 .34 6X .857 6 | 1970 .21 .30 7 X .690 7 | 1980 .23 .26 8 .894 8| SERIES IDENT OPTION A B C D 14 ash232 1 1.32734000 .01652795 .00000000 .51359740 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1730 1.88 1.73 X 3 1.083 |3 1740 1.10 1.54 4 X .713 4 | 1750 .80 1.39 5 X .587 5 | 1760 1.90 1.25 X 6 1.515 | 6 1770 1.64 1.14 X 7 1.434 | 7 1780 1.36 1.04 X 8 1.296 | 8 1790 1.00 .96 X9 1.033 9 1800 .97 .90 X0 1.085 |0 1810 .69 .84 1 X .819 1| 1820 .67 .79 2 X .846 2| 1830 .80 .75 X3 1.079 |3 1840 .45 .71 4 X .629 4 | 1850 .25 .68 5 X .372 5 | 1860 .17 .66 6 X .257 6 | 1870 .13 .63 7 X .205 7 | 1880 .23 .62 8 X .375 8 | 1890 .37 .60 9 X .611 9 | 1900 .96 .59 X 0 1.637 | 0 1910 1.91 .58 X 1 3.328 | 1 1920 1.19 .57 X 2 2.097 | 2 1930 .58 .56 3 1.034 3 1940 .77 .55 X 4 1.395 | 4 1950 .50 .55 5 .920 5 1960 .47 .54 6X .876 6| 1970 .34 .54 7 X .628 7 | 1980 .18 .53 8 X .337 8 | SERIES IDENT OPTION A B C D 14 ash232 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1730 1.88 1.61 X 3 1.167 |3 1740 1.10 1.52 4 X .727 4 | 1750 .80 1.43 5 X .564 5 | 1760 1.90 1.34 X 6 1.414 | 6 1770 1.64 1.25 X 7 1.308 | 7 1780 1.36 1.15 X 8 1.182 |8 1790 1.00 1.03 9 .964 9| 1800 .97 .92 X0 1.056 0 1810 .69 .81 1 X .848 1 | 1820 .67 .70 2 .945 2| 1830 .80 .62 X 3 1.308 | 3 1840 .45 .55 4 X .806 4 | 1850 .25 .52 5 X .491 5 | 1860 .17 .51 6 X .333 6 | 1870 .13 .53 7 X .244 7 | 1880 .23 .58 8 X .399 8 | 1890 .37 .64 9 X .564 9 | 1900 .96 .71 X 0 1.350 | 0 1910 1.91 .75 X 1 2.531 | 1 1920 1.19 .77 X 2 1.553 | 2 1930 .58 .74 3 X .778 3 | 1940 .77 .69 X4 1.113 |4 1950 .50 .62 5 X .808 5 | 1960 .47 .53 6X .908 6| 1970 .34 .44 7 X .762 7 | 1980 .18 .34 8 X .527 8 | SERIES IDENT OPTION A B C D 15 ash011 1 .25831040 .01372701 .00000000 .22125320 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1730 .46 .46 3 1.001 3 1740 .42 .43 4X .974 4| 1750 .36 .40 5 X .889 5 | 1760 .46 .38 X 6 1.220 | 6 1770 .42 .36 X 7 1.166 | 7 1780 .31 .34 8 X .917 8 | 1790 .26 .33 9 X .800 9 | 1800 .35 .31 X 0 1.127 | 0 1810 .27 .30 1 X .886 1 | 1820 .33 .29 X 2 1.134 | 2 1830 .25 .28 3 X .878 3 | 1840 .22 .27 4 X .794 4 | 1850 .26 .27 5X .982 5| 1860 .25 .26 6 X .947 6 | 1870 .27 .26 X 7 1.047 |7 1880 .30 .25 X 8 1.187 | 8 1890 .21 .25 9 X .861 9 | 1900 .26 .24 X 0 1.070 | 0 1910 .34 .24 X 1 1.407 | 1 1920 .28 .24 X 2 1.181 | 2 1930 .20 .24 3 X .827 3 | 1940 .21 .23 4 X .890 4 | SERIES IDENT OPTION A B C D 16 ash012 3 .00000000 .00000000 -.00117712 .34714410 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1820 .36 .34 X 2 1.056 | 2 1830 .27 .33 3 X .827 3 | 1840 .25 .32 4 X .777 4 | 1850 .28 .31 5 X .928 5| 1860 .24 .29 6 X .822 6 | 1870 .34 .28 X 7 1.211 | 7 1880 .32 .27 X 8 1.201 | 8 1890 .26 .26 9 .996 9 1900 .31 .25 X 0 1.235 | 0 1910 .34 .23 X 1 1.460 | 1 1920 .27 .22 X 2 1.194 | 2 1930 .24 .21 X 3 1.125 | 3 1940 .23 .20 X 4 1.144 | 4 1950 .11 .19 5 X .602 5 | 1960 .12 .18 6 X .712 6 | 1970 .12 .16 7 X .702 7 | 1980 .13 .15 8 X .885 8 | SERIES IDENT OPTION A B C D 16 ash012 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1820 .36 .30 X 2 1.181 | 2 1830 .27 .29 3 X .925 3 | 1840 .25 .29 4 X .856 4 | 1850 .28 .29 5X .992 5 1860 .24 .29 6 X .834 6 | 1870 .34 .30 X 7 1.152 | 7 1880 .32 .30 X 8 1.086 | 8 1890 .26 .30 9 X .855 9 | 1900 .31 .30 X0 1.030 |0 1910 .34 .28 X 1 1.203 | 1 1920 .27 .27 2 1.002 2 1930 .24 .24 3 1.003 3 1940 .23 .21 X 4 1.101 | 4 1950 .11 .17 5 X .648 5 | 1960 .12 .15 6 X .867 6 | 1970 .12 .12 7X .929 7 | 1980 .13 .10 X 8 1.304 | 8 SERIES IDENT OPTION A B C D 17 ash032 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1700 .62 1.31 0 X .474 0 | 1710 1.10 1.34 1 X .819 1 | 1720 2.16 1.36 X 2 1.590 | 2 1730 1.37 1.36 3 1.008 |3 1740 1.61 1.35 X 4 1.193 | 4 1750 1.06 1.31 5 X .807 5 | 1760 1.62 1.26 X 6 1.281 | 6 1770 1.72 1.18 X 7 1.450 | 7 1780 .98 1.09 8 X .901 8| 1790 .89 .99 9X .892 9| 1800 .81 .89 0 X .912 0| 1810 .39 .79 1 X .486 1 | 1820 .52 .71 2 X .746 2 | 1830 .75 .63 X 3 1.205 | 3 1840 .56 .56 4 .999 4 1850 .44 .50 5X .871 5 | 1860 .37 .45 6 X .825 6 | 1870 .35 .42 7X .843 7 | 1880 .43 .38 8 1.115 | 8 1890 .33 .36 9 .915 9| 1900 .37 .34 0 1.094 | 0 1910 .39 .32 X1 1.215 | 1 1920 .43 .30 X 2 1.413 | 2 1930 .21 .29 3X .740 3 | 1940 .29 .27 4 1.060 |4 1950 .16 .26 5 X .626 5 | 1960 .32 .25 X6 1.296 | 6 1970 .28 .23 X7 1.190 | 7 1980 .18 .22 8X .826 8 | SERIES IDENT OPTION A B C D 18 ash041 1 2.15958000 .02917479 .00000000 .29081670 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1780 2.13 2.14 8 .989 8| 1790 1.58 1.67 9 X .950 9| 1800 1.49 1.32 X 0 1.123 | 0 1810 .97 1.06 1X .912 1 | 1820 .81 .87 2X .939 2| 1830 .74 .72 3 1.029 3 1840 .63 .61 4 1.034 4 1850 .68 .53 X 5 1.281 | 5 1860 .42 .47 6X .892 6 | 1870 .30 .42 7 X .705 7 | 1880 .39 .39 8 1.009 8 1890 .32 .37 9X .888 9 | 1900 .42 .35 X0 1.227 | 0 1910 .43 .33 X 1 1.295 | 1 1920 .53 .32 X 2 1.645 | 2 1930 .25 .31 3X .782 3 | 1940 .47 .31 X 4 1.526 | 4 1950 .28 .30 5X .917 5 | 1960 .22 .30 6X .735 6 | 1970 .24 .30 7X .804 7 | 1980 .12 .30 8 X .411 8 | SERIES IDENT OPTION A B C D 19 ash091 1 1.49697100 .01346348 .00000000 .29589770 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1845 1.12 1.73 4 X .652 4 | 1850 1.51 1.64 5 X .918 5 | 1855 1.70 1.55 X 5 1.096 | 5 1860 1.85 1.47 X 6 1.258 | 6 1865 1.80 1.39 X 6 1.293 | 6 1870 1.31 1.32 7 .989 7 1875 1.66 1.26 X 7 1.321 | 7 1880 1.36 1.19 X 8 1.135 | 8 1885 1.48 1.14 X 8 1.300 | 8 1890 .98 1.08 9 X .909 9 | 1895 .67 1.03 9 X .650 9 | 1900 1.03 .98 X0 1.049 |0 1905 .68 .94 0 X .729 0 | 1910 .62 .90 1 X .693 1 | 1915 .74 .86 1 X .865 1 | 1920 .91 .82 X 2 1.114 | 2 1925 .73 .79 2X .931 2| 1930 .32 .75 3 X .424 3 | 1935 .25 .72 3 X .346 3 | 1940 .64 .70 4X .916 4 | 1945 .77 .67 X 4 1.149 | 4 1950 .75 .65 X 5 1.163 | 5 1955 .71 .62 X 5 1.132 | 5 1960 .74 .60 X 6 1.226 | 6 1965 .81 .58 X 6 1.389 | 6 1970 .81 .56 X 7 1.446 | 7 1975 .49 .55 7X .900 7 | 1980 .52 .53 8X .986 8 1985 .39 .51 8 X .754 8 | 1990 .68 .50 X 9 1.355 | 9 SERIES IDENT OPTION A B C D 19 ash091 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1845 1.12 1.59 4 X .703 4 | 1850 1.51 1.58 5 X .955 5| 1855 1.70 1.57 X 5 1.082 | 5 1860 1.85 1.54 X 6 1.201 | 6 1865 1.80 1.50 X 6 1.200 | 6 1870 1.31 1.45 7 X .904 7 | 1875 1.66 1.38 X 7 1.202 | 7 1880 1.36 1.30 X8 1.041 |8 1885 1.48 1.21 X 8 1.218 | 8 1890 .98 1.12 9 X .878 9 | 1895 .67 1.03 9 X .652 9 | 1900 1.03 .94 X 0 1.097 | 0 1905 .68 .86 0 X .790 0 | 1910 .62 .80 1 X .779 1 | 1915 .74 .74 1 1.001 1 1920 .91 .69 X 2 1.314 | 2 1925 .73 .66 X 2 1.109 | 2 1930 .32 .64 3 X .504 3 | 1935 .25 .62 3 X .402 3 | 1940 .64 .62 X4 1.023 |4 1945 .77 .63 X 4 1.235 | 4 1950 .75 .63 X 5 1.187 | 5 1955 .71 .64 X5 1.106 | 5 1960 .74 .64 X 6 1.153 | 6 1965 .81 .64 X 6 1.269 | 6 1970 .81 .63 X 7 1.294 | 7 1975 .49 .62 7 X .797 7 | 1980 .52 .60 8 X .866 8 | 1985 .39 .59 8 X .659 8 | 1990 .68 .58 X 9 1.178 | 9 SERIES IDENT OPTION A B C D 20 ash121 3 .00000000 .00000000 -.00673821 1.81283300 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1865 1.79 1.79 6 .998 6 1870 1.27 1.76 7 X .720 7 | 1875 1.55 1.73 7 X .900 7| 1880 1.60 1.69 8 X .948 8| 1885 1.49 1.66 8 X .900 8| 1890 2.26 1.62 X 9 1.393 | 9 1895 1.47 1.59 9 X .922 9| 1900 1.59 1.56 X0 1.024 |0 1905 1.78 1.52 X 0 1.165 | 0 1910 1.19 1.49 1 X .798 1 | 1915 1.60 1.46 X 1 1.100 | 1 1920 2.28 1.42 X 2 1.601 | 2 1925 1.96 1.39 X 2 1.408 | 2 1930 .78 1.35 3 X .573 3 | 1935 .48 1.32 3 X .364 3 | 1940 1.13 1.29 4 X .877 4 | 1945 1.78 1.25 X 4 1.421 | 4 1950 1.66 1.22 X 5 1.362 | 5 1955 1.26 1.19 X5 1.063 |5 1960 1.06 1.15 6 X .919 6| 1965 .94 1.12 6 X .839 6 | 1970 1.34 1.09 X 7 1.237 | 7 1975 .91 1.05 7 X .862 7 | 1980 .79 1.02 8 X .779 8 | 1985 .84 .98 8 X .850 8 | 1990 .81 .95 9 X .859 9 | SERIES IDENT OPTION A B C D 20 ash121 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1865 1.79 1.57 X 6 1.137 | 6 1870 1.27 1.59 7 X .798 7 | 1875 1.55 1.61 7X .964 7 1880 1.60 1.63 8X .982 8 1885 1.49 1.65 8 X .903 8| 1890 2.26 1.66 X 9 1.364 | 9 1895 1.47 1.66 9 X .884 9 | 1900 1.59 1.65 0X .966 0 1905 1.78 1.63 X 0 1.088 | 0 1910 1.19 1.60 1 X .740 1 | 1915 1.60 1.57 X1 1.018 |1 1920 2.28 1.53 X 2 1.489 | 2 1925 1.96 1.48 X 2 1.324 | 2 1930 .78 1.42 3 X .548 3 | 1935 .48 1.37 3 X .352 3 | 1940 1.13 1.33 4 X .850 4 | 1945 1.78 1.30 X 4 1.376 | 4 1950 1.66 1.26 X 5 1.319 | 5 1955 1.26 1.22 X5 1.037 |5 1960 1.06 1.17 6 X .908 6| 1965 .94 1.11 6 X .844 6 | 1970 1.34 1.06 X 7 1.270 | 7 1975 .91 1.00 7X .906 7| 1980 .79 .94 8 X .842 8 | 1985 .84 .89 8X .941 8| 1990 .81 .84 9 .976 9 SERIES IDENT OPTION A B C D 21 ash101 3 .00000000 .00000000 -.00086504 1.11886400 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1885 1.11 1.12 8 .995 8 1890 1.19 1.11 X9 1.067 |9 1895 .93 1.11 9 X .837 9 | 1900 .94 1.10 0 X .856 0 | 1905 .98 1.10 0 X .892 0| 1910 1.07 1.09 1 .974 1 1915 1.53 1.09 X 1 1.400 | 1 1920 1.28 1.09 X 2 1.180 | 2 1925 .93 1.08 2 X .859 2 | 1930 .40 1.08 3 X .375 3 | 1935 .39 1.07 3 X .362 3 | 1940 1.49 1.07 X 4 1.393 | 4 1945 1.21 1.06 X 4 1.134 | 4 1950 1.39 1.06 X 5 1.312 | 5 1955 1.08 1.06 5 1.028 5 1960 1.45 1.05 X 6 1.377 | 6 1965 2.08 1.05 X 6 1.986 | 6 1970 1.85 1.04 X 7 1.773 | 7 1975 .44 1.04 7 X .424 7 | 1980 .69 1.03 8 X .666 8 | 1985 .52 1.03 8 X .507 8 | 1990 .62 1.03 9 X .602 9 | SERIES IDENT OPTION A B C D 21 ash101 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1885 1.11 1.09 X8 1.021 |8 1890 1.19 1.08 X 9 1.103 | 9 1895 .93 1.06 9 X .872 9 | 1900 .94 1.05 0 X .896 0| 1905 .98 1.05 0 X .933 0| 1910 1.07 1.05 X1 1.020 |1 1915 1.53 1.04 X 1 1.474 | 1 1920 1.28 1.02 X 2 1.257 | 2 1925 .93 1.01 2 X .922 2| 1930 .40 1.01 3 X .399 3 | 1935 .39 1.05 3 X .369 3 | 1940 1.49 1.12 X 4 1.317 | 4 1945 1.21 1.20 4 1.012 4 1950 1.39 1.26 X 5 1.103 | 5 1955 1.08 1.31 5 X .827 5 | 1960 1.45 1.33 X 6 1.090 | 6 1965 2.08 1.30 X 6 1.608 | 6 1970 1.85 1.21 X 7 1.530 | 7 1975 .44 1.07 7 X .410 7 | 1980 .69 .91 8 X .755 8 | 1985 .52 .75 8 X .694 8 | 1990 .62 .59 9 1.079 |9 SERIES IDENT OPTION A B C D 22 ash162 1 2.39744900 .33187670 .00000000 1.10918400 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 1.58 1.70 4 X .891 4| 1850 1.40 1.13 X 5 1.247 | 5 1860 1.35 1.11 X 6 1.218 | 6 1870 1.30 1.11 X 7 1.169 | 7 1880 1.75 1.11 X 8 1.581 | 8 1890 .99 1.11 9 X .896 9| 1900 .42 1.11 0 X .375 0 | 1910 .48 1.11 1 X .430 1 | 1920 1.64 1.11 X 2 1.478 | 2 1930 .52 1.11 3 X .471 3 | 1940 1.30 1.11 X 4 1.175 | 4 1950 .79 1.11 5 X .710 5 | 1960 1.10 1.11 6X .989 6 1970 1.44 1.11 X 7 1.298 | 7 1980 1.04 1.11 8 X .939 8| SERIES IDENT OPTION A B C D 22 ash162 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 1.58 1.58 4 .988 4 1850 1.40 1.48 5X .955 5| 1860 1.35 1.39 6X .974 6 1870 1.30 1.30 7 1.007 7 1880 1.75 1.18 X 8 1.483 | 8 1890 .99 1.05 9X .939 9| 1900 .42 .93 0 X .445 0 | 1910 .48 .89 1 X .538 1 | 1920 1.64 .90 X 2 1.824 | 2 1930 .52 .93 3 X .563 3 | 1940 1.30 .98 X 4 1.320 | 4 1950 .79 1.04 5 X .755 5 | 1960 1.10 1.11 6X .984 6 1970 1.44 1.17 X 7 1.232 | 7 1980 1.04 1.22 8 X .853 8 | SERIES IDENT OPTION A B C D 23 ash171 3 .00000000 .00000000 -.00296548 .87123700 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 .35 .85 4 X .411 4 | 1850 1.06 .83 X 5 1.282 | 5 1860 .90 .80 X 6 1.134 | 6 1870 .80 .77 X7 1.040 |7 1880 .92 .74 X 8 1.248 | 8 1890 .33 .71 9 X .469 9 | 1900 .51 .68 0 X .750 0 | 1910 1.24 .65 X 1 1.921 | 1 1920 1.01 .62 X 2 1.624 | 2 1930 .21 .59 3 X .355 3 | 1940 .83 .56 X 4 1.482 | 4 1950 .39 .53 5 X .728 5 | 1960 .53 .50 X6 1.071 |6 1970 .29 .47 7 X .606 7 | 1980 .29 .44 8 X .664 8 | SERIES IDENT OPTION A B C D 23 ash171 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 .35 .66 4 X .521 4 | 1850 1.06 .75 X 5 1.420 | 5 1860 .90 .79 X 6 1.135 | 6 1870 .80 .80 7 .997 7 1880 .92 .78 X 8 1.178 | 8 1890 .33 .76 9 X .437 9 | 1900 .51 .76 0 X .669 0 | 1910 1.24 .76 X 1 1.625 | 1 1920 1.01 .73 X 2 1.367 | 2 1930 .21 .66 3 X .316 3 | 1940 .83 .59 X 4 1.396 | 4 1950 .39 .51 5 X .749 5 | 1960 .53 .45 X 6 1.203 | 6 1970 .29 .39 7 X .728 7 | 1980 .29 .34 8X .859 8 | SERIES IDENT OPTION A B C D 24 ash181 1 2.34293400 .02261721 .00000000 .38231130 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1820 2.26 2.46 2 X .924 2| 1830 2.44 2.04 X 3 1.198 | 3 1840 1.68 1.70 4X .956 4 1850 1.34 1.43 5 X .935 5| 1860 1.08 1.22 6 X .881 6| 1870 .54 1.05 7 X .518 7 | 1880 1.24 .92 X 8 1.348 | 8 1890 .64 .81 9 X .788 9 | 1900 .94 .72 X 0 1.311 | 0 1910 .87 .65 X 1 1.344 | 1 1920 1.08 .60 X 2 1.804 | 2 1930 .45 .55 3 X .800 3 | 1940 .53 .52 4 1.017 |4 1950 .39 .49 5 X .794 5 | 1960 .30 .47 6 X .647 6 | 1970 .39 .45 7X .864 7 | 1980 .39 .44 8X .886 8| SERIES IDENT OPTION A B C D 25 ash182 1 1.81505900 .03898814 .00000000 .73630830 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 2.06 2.21 1 X .938 1| 1820 2.00 1.73 X 2 1.145 | 2 1830 1.49 1.41 X3 1.029 |3 1840 1.09 1.19 4 X .913 4| 1850 .88 1.05 5 X .837 5 | 1860 .41 .95 6 X .426 6 | 1870 1.26 .88 X 7 1.445 | 7 1880 .84 .83 8 1.006 8 1890 .96 .80 X 9 1.200 | 9 1900 .99 .78 X 0 1.271 | 0 1910 1.39 .77 X 1 1.808 | 1 1920 .55 .76 2 X .724 2 | 1930 .51 .75 3 X .687 3 | 1940 .71 .75 4X .947 4 1950 .43 .74 5 X .576 5 | 1960 .79 .74 X6 1.065 |6 1970 .73 .74 7 .989 7 SERIES IDENT OPTION A B C D 25 ash182 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 2.06 2.03 X1 1.017 |1 1820 2.00 1.75 X 2 1.136 | 2 1830 1.49 1.47 3 .986 3 1840 1.09 1.23 4 X .883 4| 1850 .88 1.05 5 X .830 5 | 1860 .41 .94 6 X .428 6 | 1870 1.26 .90 X 7 1.412 | 7 1880 .84 .89 8X .947 8 1890 .96 .89 X 9 1.081 | 9 1900 .99 .88 X 0 1.129 | 0 1910 1.39 .84 X 1 1.639 | 1 1920 .55 .78 2 X .692 2 | 1930 .51 .72 3 X .720 3 | 1940 .71 .68 X4 1.031 |4 1950 .43 .67 5 X .643 5 | 1960 .79 .67 X 6 1.174 | 6 1970 .73 .69 7 1.056 |7 SERIES IDENT OPTION A B C D 26 ash321 1 2.03043900 .01093064 .00000000 .00885439 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1780 2.26 1.97 X 8 1.145 | 8 1785 1.80 1.87 8 X .961 8| 1790 2.24 1.77 X 9 1.263 | 9 1795 1.55 1.68 9 X .925 9| 1800 1.19 1.59 0 X .749 0 | 1805 1.17 1.50 0 X .773 0 | 1810 1.11 1.42 1 X .778 1 | 1815 1.05 1.35 1 X .780 1 | 1820 .85 1.28 2 X .663 2 | 1825 1.22 1.21 2 1.007 2 1830 1.58 1.15 X 3 1.379 | 3 1835 1.72 1.09 X 3 1.581 | 3 1840 1.41 1.03 X 4 1.374 | 4 1845 .76 .97 4 X .778 4 | 1850 1.18 .92 X 5 1.286 | 5 1855 1.09 .87 X 5 1.248 | 5 1860 .91 .83 X 6 1.100 | 6 1865 .99 .78 X 6 1.263 | 6 1870 .31 .74 7 X .422 7 | 1875 .52 .70 7 X .737 7 | 1880 .51 .67 8 X .761 8 | 1885 .82 .63 X 8 1.287 | 8 1890 .65 .60 X9 1.087 |9 1895 .37 .57 9 X .642 9 | 1900 .44 .54 0 X .819 0 | SERIES IDENT OPTION A B C D 26 ash321 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1780 2.26 2.08 X 8 1.087 | 8 1785 1.80 1.92 8 X .937 8| 1790 2.24 1.76 X 9 1.269 | 9 1795 1.55 1.61 9X .963 9 1800 1.19 1.48 0 X .806 0 | 1805 1.17 1.37 0 X .849 0 | 1810 1.11 1.29 1 X .857 1 | 1815 1.05 1.24 1 X .844 1 | 1820 .85 1.22 2 X .693 2 | 1825 1.22 1.22 2 1.003 |2 1830 1.58 1.21 X 3 1.308 | 3 1835 1.72 1.19 X 3 1.437 | 3 1840 1.41 1.16 X 4 1.216 | 4 1845 .76 1.11 4 X .681 4 | 1850 1.18 1.05 X 5 1.128 | 5 1855 1.09 .98 X 5 1.110 | 5 1860 .91 .91 6 1.004 |6 1865 .99 .83 X 6 1.198 | 6 1870 .31 .75 7 X .416 7 | 1875 .52 .69 7 X .758 7 | 1880 .51 .63 8 X .807 8 | 1885 .82 .58 X 8 1.400 | 8 1890 .65 .54 X 9 1.217 | 9 1895 .37 .49 9 X .742 9 | 1900 .44 .45 0 .985 0 SERIES IDENT OPTION A B C D 27 ash022 3 .00000000 .00000000 -.00357388 1.27998500 *** 20-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1640 .95 1.24 4 X .767 4 | 1660 .93 1.17 6 X .796 6 | 1680 .83 1.10 8 X .756 8 | 1700 1.28 1.03 X 0 1.266 | 0 1720 1.38 .96 X 2 1.436 | 2 1740 .78 .89 4 X .879 4 | 1760 1.81 .81 X 6 2.236 | 6 1780 .79 .74 X8 1.058 8 1800 .46 .67 0 X .686 0 | 1820 .38 .60 2 X .642 2 | 1840 .48 .53 4X .901 4 | 1860 .24 .46 6 X .524 6 | 1880 .22 .38 8 X .570 8 | 1900 .27 .31 0X .864 0 | 1920 .17 .24 2 X .700 2 | 1940 .15 .17 4 .887 4 | 1960 .16 .10 X6 1.613 | 6 SERIES IDENT OPTION A B C D 28 ash201 1 2.35939100 .01184102 .00000000 .19583280 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1855 3.15 2.47 X 5 1.272 | 5 1860 2.50 2.34 X 6 1.061 |6 1865 1.92 2.22 6 X .868 6 | 1870 .90 2.10 7 X .423 7 | 1875 1.34 1.99 7 X .678 7 | 1880 1.97 1.89 X8 1.045 |8 1885 2.79 1.79 X 8 1.557 | 8 1890 1.81 1.70 X9 1.064 |9 1895 1.65 1.61 9 1.024 |9 1900 1.50 1.53 0X .980 0 1905 1.68 1.46 X 0 1.154 | 0 1910 1.03 1.38 1 X .749 1 | 1915 1.76 1.31 X 1 1.336 | 1 1920 1.70 1.25 X 2 1.367 | 2 1925 1.72 1.19 X 2 1.444 | 2 1930 .78 1.13 3 X .682 3 | 1935 .33 1.08 3 X .305 3 | 1940 .31 1.03 4 X .306 4 | 1945 1.62 .98 X 4 1.661 | 4 1950 .85 .94 5X .912 5| 1955 .67 .89 5 X .752 5 | 1960 .80 .85 6X .941 6| 1965 1.03 .81 X 6 1.264 | 6 1970 .95 .78 X 7 1.220 | 7 1975 .78 .75 7 1.046 |7 1980 .84 .71 X8 1.178 | 8 1985 .67 .68 8 .979 8 1990 .47 .66 9 X .723 9 | SERIES IDENT OPTION A B C D 28 ash201 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1855 3.15 2.45 X 5 1.284 | 5 1860 2.50 2.30 X 6 1.080 |6 1865 1.92 2.16 6 X .892 6 | 1870 .90 2.04 7 X .436 7 | 1875 1.34 1.95 7 X .693 7 | 1880 1.97 1.87 X8 1.053 8 1885 2.79 1.81 X 8 1.542 | 8 1890 1.81 1.75 X9 1.038 9 1895 1.65 1.68 9 .986 9| 1900 1.50 1.61 0 X .935 0| 1905 1.68 1.53 X0 1.095 |0 1910 1.03 1.46 1 X .710 1 | 1915 1.76 1.38 X 1 1.273 | 1 1920 1.70 1.30 X 2 1.320 | 2 1925 1.72 1.21 X 2 1.422 | 2 1930 .78 1.12 3 X .688 3 | 1935 .33 1.04 3 X .315 3 | 1940 .31 .98 4 X .322 4 | 1945 1.62 .93 X 4 1.743 | 4 1950 .85 .90 5X .951 5| 1955 .67 .87 5 X .775 5 | 1960 .80 .84 6X .953 6| 1965 1.03 .82 X 6 1.261 | 6 1970 .95 .79 X 7 1.204 | 7 1975 .78 .76 7 1.030 7 1980 .84 .72 X8 1.168 | 8 1985 .67 .68 8 .985 8| 1990 .47 .64 9 X .746 9 | SERIES IDENT OPTION A B C D 29 ash202 3 .00000000 .00000000 -.00714871 1.55739600 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1840 1.27 1.52 4 X .843 4 | 1850 1.76 1.45 X 5 1.216 | 5 1860 1.10 1.38 6 X .793 6 | 1870 1.28 1.30 7 .980 7 1880 1.61 1.23 X 8 1.306 | 8 1890 1.03 1.16 9 X .898 9 | 1900 1.49 1.09 X 0 1.366 | 0 1910 .96 1.02 1 X .946 1| 1920 .73 .95 2 X .761 2 | 1930 .39 .87 3 X .446 3 | 1940 1.05 .80 X 4 1.299 | 4 1950 .70 .73 5X .959 5| 1960 .81 .66 X 6 1.233 | 6 1970 .59 .59 7 1.003 7 1980 .46 .52 8X .881 8 | SERIES IDENT OPTION A B C D 30 ash211 1 2.23288800 .03473511 .00000000 .96114360 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1895 1.52 2.98 9 X .511 9 | 1900 3.85 2.65 X 0 1.457 | 0 1905 3.28 2.38 X 0 1.365 | 0 1910 2.38 2.16 X 1 1.108 |1 1915 2.20 1.97 X 1 1.118 |1 1920 2.60 1.81 X 2 1.443 | 2 1925 1.01 1.67 2 X .601 2 | 1930 .67 1.56 3 X .426 3 | 1935 .34 1.46 3 X .233 3 | 1940 .60 1.38 4 X .439 4 | 1945 1.57 1.32 X 4 1.198 | 4 1950 1.45 1.26 X 5 1.155 | 5 1955 1.49 1.21 X 5 1.232 | 5 1960 1.39 1.17 X 6 1.183 | 6 1965 1.22 1.14 X6 1.068 |6 1970 1.36 1.11 X 7 1.227 | 7 1975 1.37 1.09 X 7 1.258 | 7 1980 1.10 1.07 8 1.032 8 1985 1.19 1.05 X 8 1.136 | 8 1990 .70 1.04 9 X .672 9 | SERIES IDENT OPTION A B C D 31 ash221 1 2.24608800 .01912587 .00000000 .62586090 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1830 3.68 2.65 X 3 1.397 | 3 1840 1.16 2.30 4 X .515 4 | 1850 2.03 2.01 X5 1.007 5 1860 1.22 1.77 6 X .689 6 | 1870 1.26 1.57 7 X .808 7 | 1880 1.95 1.40 X 8 1.394 | 8 1890 1.54 1.27 X 9 1.214 | 9 1900 1.54 1.16 X 0 1.321 | 0 1910 1.21 1.06 X1 1.139 | 1 1920 1.40 .99 X 2 1.416 | 2 1930 .48 .92 3 X .515 3 | 1940 .83 .87 4X .944 4| 1950 .48 .83 5 X .582 5 | 1960 .76 .79 6 .957 6| 1970 .92 .77 X7 1.205 | 7 1980 .63 .74 8X .849 8 | SERIES IDENT OPTION A B C D 32 ash042 1 3.07073300 .02731382 .00000000 .32070440 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1780 3.00 2.97 8 1.001 8 1790 2.22 2.34 9X .941 9| 1800 1.85 1.86 0 1.002 0 1810 1.33 1.49 1 X .893 1 | 1820 1.26 1.21 2 1.050 |2 1830 1.44 1.00 X 3 1.442 | 3 1840 .85 .84 X4 .999 4 1850 .65 .71 5X .915 5| 1860 .46 .62 6 X .744 6 | 1870 .30 .55 7 X .556 7 | 1880 .65 .49 X8 1.317 | 8 1890 .37 .45 9X .822 9 | 1900 .55 .42 X0 1.312 | 0 1910 .54 .40 X 1 1.370 | 1 1920 .66 .38 X 2 1.733 | 2 1930 .18 .36 3 X .507 3 | 1940 .35 .35 4 .977 4 1950 .31 .35 5X .883 5 | 1960 .33 .34 6 .962 6| 1970 .29 .34 7X .875 7 | 1980 .26 .33 8X .783 8 | SERIES IDENT OPTION A B C D 33 ash212 3 .00000000 .00000000 -.02194965 3.24689500 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1870 2.26 3.18 7 X .710 7 | 1875 3.44 3.07 X 7 1.121 |7 1880 3.14 2.96 X8 1.059 |8 1885 4.38 2.85 X 8 1.534 | 8 1890 3.29 2.74 X 9 1.196 | 9 1895 1.70 2.63 9 X .647 9 | 1900 3.21 2.52 X 0 1.274 | 0 1905 2.36 2.41 0 .976 0 1910 2.56 2.30 X 1 1.115 |1 1915 2.37 2.19 X 1 1.082 |1 1920 2.35 2.08 X 2 1.126 |2 1925 1.99 1.97 2 1.011 2 1930 .95 1.86 3 X .511 3 | 1935 .40 1.75 3 X .230 3 | 1940 .86 1.64 4 X .529 4 | 1945 1.82 1.53 X 4 1.183 | 4 1950 1.07 1.43 5 X .750 5 | 1955 .95 1.32 5 X .722 5 | 1960 .86 1.21 6 X .717 6 | 1965 .83 1.10 6 X .759 6 | 1970 1.01 .99 7 1.026 7 1975 1.12 .88 X 7 1.267 | 7 1980 .99 .77 X 8 1.292 | 8 1985 1.02 .66 X 8 1.557 | 8 1990 1.07 .55 X 9 1.969 | 9 SERIES IDENT OPTION A B C D 34 asx102 3 .00000000 .00000000 -.00100972 .92084980 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 .93 .92 X6 1.016 6 1570 .27 .91 7 X .297 7 | 1580 .37 .90 8 X .417 8 | 1590 .47 .89 9 X .535 9 | 1600 1.29 .87 X 0 1.472 | 0 1610 1.41 .86 X 1 1.627 | 1 1620 1.00 .85 X 2 1.169 | 2 1630 .87 .84 X3 1.027 3 1640 1.20 .83 X 4 1.441 | 4 1650 .95 .82 X 5 1.150 | 5 1660 .82 .81 X6 1.009 6 1670 1.16 .80 X 7 1.444 | 7 1680 1.08 .79 X 8 1.360 | 8 1690 1.21 .78 X 9 1.539 | 9 1700 1.00 .77 X 0 1.297 | 0 1710 .51 .76 1 X .662 1 | 1720 .37 .75 2 X .491 2 | 1730 .39 .74 3 X .523 3 | 1740 .57 .73 4 X .781 4 | 1750 .53 .72 5 X .738 5 | 1760 .70 .71 6X .984 6| SERIES IDENT OPTION A B C D 34 asx102 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 .93 .56 X 6 1.686 | 6 1570 .27 .63 7 X .426 7 | 1580 .37 .71 8 X .522 8 | 1590 .47 .80 9 X .595 9 | 1600 1.29 .89 X 0 1.433 | 0 1610 1.41 .97 X 1 1.455 | 1 1620 1.00 1.02 2 .986 2 1630 .87 1.05 3 X .825 3 | 1640 1.20 1.06 X 4 1.134 | 4 1650 .95 1.06 5 X .897 5 | 1660 .82 1.04 6 X .790 6 | 1670 1.16 1.01 X 7 1.146 | 7 1680 1.08 .97 X 8 1.118 | 8 1690 1.21 .90 X 9 1.335 | 9 1700 1.00 .82 X 0 1.233 | 0 1710 .51 .74 1 X .679 1 | 1720 .37 .67 2 X .552 2 | 1730 .39 .61 3 X .633 3 | 1740 .57 .58 4 .983 4 1750 .53 .57 5 X .933 5| 1760 .70 .57 X 6 1.226 | 6 SERIES IDENT OPTION A B C D 35 asx101 3 .00000000 .00000000 -.00226067 .92432130 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 1.01 .91 X 6 1.103 | 6 1570 .27 .89 7 X .301 7 | 1580 .33 .87 8 X .381 8 | 1590 .42 .84 9 X .496 9 | 1600 .99 .82 X 0 1.203 | 0 1610 1.18 .80 X 1 1.475 | 1 1620 .92 .78 X 2 1.183 | 2 1630 .88 .75 X 3 1.173 | 3 1640 .93 .73 X 4 1.267 | 4 1650 .92 .71 X 5 1.305 | 5 1660 .80 .69 X 6 1.166 | 6 1670 1.05 .66 X 7 1.588 | 7 1680 .89 .64 X 8 1.389 | 8 1690 1.23 .62 X 9 1.980 | 9 1700 .93 .60 X 0 1.565 | 0 1710 .55 .57 1 .953 1 1720 .32 .55 2 X .585 2 | 1730 .17 .53 3 X .316 3 | 1740 .18 .50 4 X .358 4 | 1750 .22 .48 5 X .461 5 | 1760 .42 .46 6X .908 6| 1770 .46 .44 X7 1.040 |7 1780 .31 .41 8 X .740 8 | 1790 .30 .39 9 X .774 9 | SERIES IDENT OPTION A B C D 35 asx101 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 1.01 .57 X 6 1.763 | 6 1570 .27 .61 7 X .433 7 | 1580 .33 .66 8 X .497 8 | 1590 .42 .72 9 X .586 9 | 1600 .99 .78 X 0 1.260 | 0 1610 1.18 .84 X 1 1.408 | 1 1620 .92 .88 X2 1.041 |2 1630 .88 .92 3X .952 3| 1640 .93 .94 4 .986 4 1650 .92 .95 5X .978 5 1660 .80 .94 6 X .852 6 | 1670 1.05 .91 X 7 1.152 | 7 1680 .89 .87 X8 1.021 8 1690 1.23 .81 X 9 1.511 | 9 1700 .93 .73 X 0 1.304 | 0 1710 .55 .63 1 X .852 1 | 1720 .32 .54 2 X .588 2 | 1730 .17 .46 3 X .359 3 | 1740 .18 .39 4 X .458 4 | 1750 .22 .35 5 X .645 5 | 1760 .42 .32 X 6 1.311 | 6 1770 .46 .30 X 7 1.527 | 7 1780 .31 .28 X8 1.093 |8 1790 .30 .27 X9 1.144 | 9 SERIES IDENT OPTION A B C D 36 asx081 1 .53152810 .00983985 .00000000 .58169820 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1640 .78 1.09 4 X .724 4 | 1650 .67 1.04 5 X .650 5 | 1660 1.68 1.00 X 6 1.690 | 6 1670 .90 .96 7X .936 7| 1680 1.08 .92 X 8 1.176 | 8 1690 1.29 .89 X 9 1.457 | 9 1700 1.21 .86 X 0 1.398 | 0 1710 1.00 .83 X 1 1.202 | 1 1720 .63 .81 2 X .776 2 | 1730 .36 .79 3 X .451 3 | 1740 .31 .77 4 X .397 4 | 1750 .20 .75 5 X .263 5 | 1760 .40 .74 6 X .546 6 | 1770 .86 .72 X 7 1.190 | 7 1780 .87 .71 X 8 1.224 | 8 1790 .91 .70 X 9 1.311 | 9 1800 1.09 .69 X 0 1.586 | 0 1810 .73 .68 X 1 1.084 | 1 1820 .40 .67 2 X .598 2 | SERIES IDENT OPTION A B C D 36 asx081 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1640 .78 .95 4 X .829 4 | 1650 .67 1.01 5 X .660 5 | 1660 1.68 1.07 X 6 1.576 | 6 1670 .90 1.09 7 X .819 7 | 1680 1.08 1.09 8 .996 8 1690 1.29 1.04 X 9 1.243 | 9 1700 1.21 .96 X 0 1.246 | 0 1710 1.00 .85 X 1 1.180 | 1 1720 .63 .73 2 X .862 2 | 1730 .36 .62 3 X .570 3 | 1740 .31 .56 4 X .547 4 | 1750 .20 .54 5 X .367 5 | 1760 .40 .57 6 X .704 6 | 1770 .86 .63 X 7 1.351 | 7 1780 .87 .70 X 8 1.252 | 8 1790 .91 .75 X 9 1.213 | 9 1800 1.09 .78 X 0 1.401 | 0 1810 .73 .78 1X .936 1| 1820 .40 .78 2 X .511 2 | SERIES IDENT OPTION A B C D 37 asx083 3 .00000000 .00000000 -.00396555 1.17562300 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1630 .64 1.15 3 X .553 3 | 1640 .85 1.11 4 X .765 4 | 1650 .92 1.07 5 X .860 5 | 1660 1.44 1.03 X 6 1.389 | 6 1670 1.91 1.00 X 7 1.918 | 7 1680 1.23 .96 X 8 1.278 | 8 1690 1.17 .92 X 9 1.281 | 9 1700 .82 .88 0X .938 0| 1710 .82 .84 1X .972 1| 1720 .55 .80 2 X .697 2 | 1730 .40 .76 3 X .529 3 | 1740 .31 .72 4 X .428 4 | 1750 .31 .68 5 X .459 5 | 1760 .58 .64 6 X .909 6 | 1770 1.04 .60 X 7 1.740 | 7 1780 .63 .56 X8 1.119 |8 SERIES IDENT OPTION A B C D 37 asx083 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1630 .64 .76 3 X .840 3 | 1640 .85 .95 4 X .899 4 | 1650 .92 1.13 5 X .811 5 | 1660 1.44 1.26 X 6 1.142 | 6 1670 1.91 1.31 X 7 1.454 | 7 1680 1.23 1.26 8X .966 8| 1690 1.17 1.13 X9 1.042 |9 1700 .82 .96 0 X .857 0 | 1710 .82 .78 1 1.028 1 1720 .55 .63 2X .897 2 | 1730 .40 .52 3 X .771 3 | 1740 .31 .48 4 X .644 4 | 1750 .31 .50 5 X .614 5 | 1760 .58 .57 6 1.023 6 1770 1.04 .65 X 7 1.599 | 7 1780 .63 .74 8 X .849 8 | SERIES IDENT OPTION A B C D 38 asx611 3 .00000000 .00000000 -.01386222 2.21379100 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1670 1.78 2.14 7 X .841 7 | 1680 2.39 2.00 X 8 1.197 | 8 1690 2.29 1.86 X 9 1.233 | 9 1700 2.05 1.72 X 0 1.194 | 0 1710 1.89 1.58 X 1 1.193 | 1 1720 1.20 1.44 2 X .826 2 | 1730 .99 1.31 3 X .760 3 | 1740 .76 1.17 4 X .646 4 | 1750 .74 1.03 5 X .723 5 | 1760 .68 .89 6 X .758 6 | 1770 .57 .75 7 X .750 7 | 1780 .38 .61 8 X .634 8 | 1790 .59 .47 X 9 1.246 | 9 1800 .52 .34 X 0 1.559 | 0 1810 .37 .20 X 1 1.903 | 1 SERIES IDENT OPTION A B C D 39 asx121 3 .00000000 .00000000 .00106938 .86000240 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1590 .30 .87 9 X .345 9 | 1600 .40 .88 0 X .461 0 | 1610 .74 .89 1 X .834 1 | 1620 1.18 .90 X 2 1.318 | 2 1630 .90 .91 3X .987 3| 1640 .80 .92 4 X .874 4 | 1650 1.18 .93 X 5 1.273 | 5 1660 .79 .94 6 X .842 6 | 1670 1.16 .95 X 7 1.213 | 7 1680 1.98 .96 X 8 2.063 | 8 1690 1.36 .97 X 9 1.402 | 9 1700 1.36 .98 X 0 1.386 | 0 1710 1.29 .99 X 1 1.301 | 1 1720 1.14 1.00 X 2 1.138 |2 1730 .98 1.02 3X .970 3| 1740 .64 1.03 4 X .622 4 | 1750 .42 1.04 5 X .403 5 | 1760 .70 1.05 6 X .670 6 | SERIES IDENT OPTION A B C D 39 asx121 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1590 .30 .38 9X .775 9 | 1600 .40 .53 0 X .754 0 | 1610 .74 .68 X1 1.088 | 1 1620 1.18 .82 X 2 1.447 | 2 1630 .90 .93 3X .976 3| 1640 .80 1.02 4 X .786 4 | 1650 1.18 1.12 X5 1.058 |5 1660 .79 1.21 6 X .658 6 | 1670 1.16 1.29 7 X .890 7 | 1680 1.98 1.35 X 8 1.472 | 8 1690 1.36 1.35 9 1.007 9 1700 1.36 1.31 X0 1.039 0 1710 1.29 1.22 X1 1.062 |1 1720 1.14 1.11 X2 1.039 2 1730 .98 .98 3 1.002 3 1740 .64 .85 4 X .743 4 | 1750 .42 .74 5 X .563 5 | 1760 .70 .66 X6 1.079 |6 SERIES IDENT OPTION A B C D 40 asx122 3 .00000000 .00000000 .00053624 .43866410 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1600 .52 .44 X 0 1.172 | 0 1610 .39 .45 1 X .881 1 | 1620 .47 .45 X2 1.034 |2 1630 .33 .46 3 X .722 3 | 1640 .50 .46 X 4 1.087 | 4 1650 .48 .47 X5 1.022 |5 1660 .29 .47 6 X .617 6 | 1670 .64 .48 X 7 1.340 | 7 1680 .49 .48 X8 1.015 |8 1690 .48 .49 9X .985 9 1700 .42 .50 0 X .849 0 | 1710 .61 .50 X 1 1.214 | 1 1720 .68 .51 X 2 1.352 | 2 1730 .51 .51 3X .998 3 1740 .36 .52 4 X .700 4 | 1750 .40 .52 5 X .772 5 | 1760 .65 .53 X 6 1.241 | 6 1770 .69 .53 X 7 1.298 | 7 1780 .46 .54 8 X .859 8 | 1790 .54 .54 9 .993 9 SERIES IDENT OPTION A B C D 41 asx041 1 4.15395100 .01985302 .00000000 .51612650 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 3.48 4.25 1 X .834 1 | 1820 4.40 3.57 X 2 1.223 | 2 1830 4.52 3.02 X 3 1.509 | 3 1840 2.13 2.57 4 X .823 4 | 1850 1.85 2.20 5 X .837 5 | 1860 1.09 1.90 6 X .575 6 | 1870 .65 1.65 7 X .392 7 | 1880 1.28 1.45 8X .904 8| 1890 1.11 1.28 9X .859 9 | 1900 1.76 1.14 X 0 1.567 | 0 1910 1.32 1.03 X 1 1.293 | 1 1920 2.01 .94 X 2 2.148 | 2 1930 .78 .86 3X .896 3| 1940 .79 .80 4 .992 4 1950 .77 .75 5 1.036 5 1960 .56 .71 6X .791 6 | 1970 .66 .67 7 .975 7 1980 .39 .64 8 X .608 8 | SERIES IDENT OPTION A B C D 42 asx011 3 .00000000 .00000000 .00133547 1.31809500 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1710 .61 1.33 1 X .464 1 | 1720 1.14 1.34 2 X .852 2 | 1730 .91 1.35 3 X .676 3 | 1740 1.14 1.37 4 X .837 4 | 1750 .97 1.38 5 X .705 5 | 1760 2.04 1.39 X 6 1.468 | 6 1770 2.61 1.41 X 7 1.856 | 7 1780 2.06 1.42 X 8 1.448 | 8 1790 1.77 1.43 X 9 1.234 | 9 1800 1.74 1.45 X 0 1.205 | 0 1810 1.38 1.46 1 X .945 1| 1820 1.54 1.47 X2 1.042 2 1830 1.86 1.49 X 3 1.252 | 3 1840 .92 1.50 4 X .613 4 | 1850 1.52 1.51 X5 1.005 5 1860 .86 1.53 6 X .567 6 | 1870 .94 1.54 7 X .610 7 | SERIES IDENT OPTION A B C D 42 asx011 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1710 .61 .69 1X .932 1 | 1720 1.14 .89 X 2 1.271 | 2 1730 .91 1.10 3 X .828 3 | 1740 1.14 1.32 4 X .869 4 | 1750 .97 1.54 5 X .614 5 | 1760 2.04 1.74 X 6 1.178 | 6 1770 2.61 1.87 X 7 1.397 | 7 1780 2.06 1.91 X 8 1.078 | 8 1790 1.77 1.87 9X .947 9 | 1800 1.74 1.77 0X .979 0| 1810 1.38 1.66 1 X .833 1 | 1820 1.54 1.55 2 .992 2 1830 1.86 1.45 X 3 1.285 | 3 1840 .92 1.36 4 X .682 4 | 1850 1.52 1.28 X 5 1.182 | 5 1860 .86 1.23 6 X .701 6 | 1870 .94 1.23 7 X .762 7 | SERIES IDENT OPTION A B C D 43 asx061 3 .00000000 .00000000 -.00055083 .98712280 *** 20-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 .73 .98 6 X .741 6 | 1580 1.09 .97 X 8 1.125 | 8 1600 1.05 .96 X 0 1.091 | 0 1620 .78 .95 2 X .821 2 | 1640 1.07 .94 X 4 1.147 | 4 1660 .89 .93 6 X .956 6 | 1680 .82 .92 8 X .897 8 | 1700 .79 .90 0 X .869 0 | 1720 .82 .89 2 X .924 2 | 1740 .94 .88 X 4 1.065 |4 1760 .95 .87 X 6 1.090 | 6 1780 1.23 .86 X 8 1.431 | 8 1800 .91 .85 X 0 1.075 | 0 1820 1.03 .84 X 2 1.229 | 2 1840 .74 .83 4 X .897 4 | 1860 .75 .82 6 X .923 6 | 1880 .90 .81 X 8 1.115 | 8 1900 1.07 .79 X 0 1.346 | 0 1920 .53 .78 2 X .679 2 | 1940 .61 .77 4 X .794 4 | 1960 .62 .76 6 X .819 6 | SERIES IDENT OPTION A B C D 43 asx061 -67 .00000000 .00000000 .00000000 .00000000 *** 20-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1560 .73 .90 6 X .811 6 | 1580 1.09 .91 X 8 1.197 | 8 1600 1.05 .92 X 0 1.136 | 0 1620 .78 .92 2 X .843 2 | 1640 1.07 .92 X 4 1.168 | 4 1660 .89 .91 6X .970 6| 1680 .82 .91 8 X .906 8 | 1700 .79 .91 0 X .865 0 | 1720 .82 .92 2 X .897 2 | 1740 .94 .94 X4 1.001 4 1760 .95 .95 6 1.004 6 1780 1.23 .95 X 8 1.292 | 8 1800 .91 .95 0 X .966 0 | 1820 1.03 .93 X 2 1.112 | 2 1840 .74 .90 4 X .825 4 | 1860 .75 .87 6 X .871 6 | 1880 .90 .83 X 8 1.084 | 8 1900 1.07 .78 X 0 1.361 | 0 1920 .53 .73 2 X .730 2 | 1940 .61 .67 4 X .912 4 | 1960 .62 .62 6 1.004 6 SERIES IDENT OPTION A B C D 44 asx062 3 .00000000 .00000000 -.00117793 .62701760 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1570 .53 .62 7 X .848 7 | 1575 .34 .62 7 X .549 7 | 1580 .68 .61 X 8 1.106 | 8 1585 .63 .61 X 8 1.045 |8 1590 .71 .60 X 9 1.184 | 9 1595 .81 .59 X 9 1.360 | 9 1600 .54 .59 0 X .912 0 | 1605 .82 .58 X 0 1.406 | 0 1610 .42 .58 1 X .725 1 | 1615 .80 .57 X 1 1.399 | 1 1620 .53 .56 2 X .934 2| 1625 .59 .56 X 2 1.061 |2 1630 .27 .55 3 X .489 3 | 1635 .60 .55 X 3 1.090 | 3 1640 .46 .54 4 X .850 4 | 1645 .34 .54 4 X .638 4 | 1650 .55 .53 X5 1.042 |5 1655 .53 .52 5 1.018 5 1660 .48 .52 6 X .936 6| 1665 .63 .51 X 6 1.236 | 6 1670 .82 .51 X 7 1.624 | 7 1675 .53 .50 X 7 1.055 |7 1680 .57 .49 X 8 1.162 | 8 1685 .27 .49 8 X .557 8 | 1690 .37 .48 9 X .767 9 | SERIES IDENT OPTION A B C D 44 asx062 -67 .00000000 .00000000 .00000000 .00000000 *** 5-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1570 .53 .54 7X .990 7| 1575 .34 .57 7 X .599 7 | 1580 .68 .59 X 8 1.141 | 8 1585 .63 .62 X8 1.026 8 1590 .71 .63 X 9 1.123 | 9 1595 .81 .64 X 9 1.260 | 9 1600 .54 .64 0 X .839 0 | 1605 .82 .63 X 0 1.299 | 0 1610 .42 .61 1 X .682 1 | 1615 .80 .59 X 1 1.346 | 1 1620 .53 .57 2 X .930 2 | 1625 .59 .55 X 2 1.084 |2 1630 .27 .53 3 X .510 3 | 1635 .60 .52 X 3 1.154 | 3 1640 .46 .51 4 X .900 4 | 1645 .34 .51 4 X .665 4 | 1650 .55 .52 X5 1.056 |5 1655 .53 .53 5 1.003 5 1660 .48 .54 6 X .898 6 | 1665 .63 .54 X 6 1.167 | 6 1670 .82 .54 X 7 1.531 | 7 1675 .53 .52 X7 1.017 7 1680 .57 .49 X 8 1.160 | 8 1685 .27 .46 8 X .592 8 | 1690 .37 .43 9 X .865 9 | SERIES IDENT OPTION A B C D 45 asx021 3 .00000000 .00000000 -.00338012 1.15251900 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 1.77 1.13 X 1 1.559 | 1 1820 .97 1.10 2 X .877 2 | 1830 .86 1.07 3 X .804 3 | 1840 .45 1.03 4 X .435 4 | 1850 .70 1.00 5 X .700 5 | 1860 .61 .96 6 X .631 6 | 1870 .95 .93 X7 1.026 7 1880 1.26 .90 X 8 1.400 | 8 1890 1.12 .86 X 9 1.296 | 9 1900 1.26 .83 X 0 1.510 | 0 1910 1.20 .80 X 1 1.509 | 1 1920 .93 .76 X 2 1.214 | 2 1930 .24 .73 3 X .327 3 | 1940 .74 .69 4 1.067 |4 1950 .61 .66 5X .926 5| 1960 .56 .63 6X .897 6 | 1970 .54 .59 7X .903 7 | SERIES IDENT OPTION A B C D 45 asx021 -67 .00000000 .00000000 .00000000 .00000000 *** 10-YEAR MEANS OF MEASUREMENTS, CURVE FIT (X), AND INDICES *** MSMT CURVE INDEX YEAR MEANS MEANS MEANS 1810 1.77 1.31 X 1 1.350 | 1 1820 .97 1.11 2 X .866 2 | 1830 .86 .94 3 X .914 3| 1840 .45 .83 4 X .538 4 | 1850 .70 .80 5 X .872 5 | 1860 .61 .84 6 X .727 6 | 1870 .95 .91 X7 1.040 |7 1880 1.26 .99 X 8 1.272 | 8 1890 1.12 1.04 X9 1.079 | 9 1900 1.26 1.03 X 0 1.214 | 0 1910 1.20 .97 X 1 1.232 | 1 1920 .93 .88 X2 1.049 |2 1930 .24 .77 3 X .308 3 | 1940 .74 .68 X4 1.092 | 4 1950 .61 .61 5 1.009 5 1960 .56 .54 X6 1.045 |6 1970 .54 .48 X7 1.116 | 7 |-------------------- STATISTICS OF SINGLE TREE-RING SERIES -------------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 ash021 1716 1997 282 1.000 .531 .295 2.744 .505 .536 2 ash031 1749 1978 230 .999 .448 .962 5.097 .315 .693 3 ash061 1803 1997 195 1.005 .504 .922 4.386 .398 .567 4 ash071 1838 1997 160 1.001 .455 1.164 6.336 .335 .616 5 ash081 1766 1997 232 .985 .434 1.303 5.953 .308 .650 6 ash111 1830 1997 168 1.005 .317 .584 3.037 .289 .324 7 ash112 1829 1997 169 .996 .430 1.068 3.872 .311 .543 8 ash122 1864 1997 134 1.006 .434 .267 3.172 .383 .484 9 ash132 1866 1997 132 1.007 .510 .427 2.961 .429 .555 10 ash161 1842 1997 156 .992 .466 .539 3.447 .354 .645 11 ash192 1808 1997 190 .986 .409 .315 2.774 .299 .692 12 ash222 1818 1997 180 1.003 .453 .702 4.834 .359 .590 13 ash231 1736 1997 262 .975 .554 .867 3.974 .486 .582 14 ash232 1735 1997 263 .946 .580 1.330 5.848 .413 .763 15 ash011 1736 1960 225 1.000 .381 .271 3.046 .394 .274 16 ash012 1826 1995 170 .998 .424 .330 3.095 .451 .268 17 ash032 1704 1997 294 .996 .417 .467 2.777 .292 .682 18 ash041 1784 1995 212 .998 .460 .644 3.682 .441 .429 19 ash091 1848 1997 150 .993 .368 -.085 2.986 .363 .428 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 ash121 1866 1997 132 .999 .362 -.100 2.322 .342 .451 21 ash101 1888 1997 110 .986 .492 .437 2.800 .469 .400 22 ash162 1842 1997 156 .994 .512 .824 3.800 .348 .660 23 ash171 1845 1997 153 .992 .594 .553 3.491 .530 .667 24 ash181 1820 1997 178 .998 .497 .738 3.493 .395 .653 25 ash182 1819 1997 179 .991 .455 .314 2.764 .358 .630 26 ash321 1782 1907 126 .996 .350 .646 3.716 .289 .467 27 ash022 1642 1997 356 1.260 2.273 8.742 90.232 .470 .711 28 ash201 1855 1997 143 .997 .482 .418 2.804 .436 .450 29 ash202 1846 1997 152 1.000 .480 .388 3.224 .421 .508 30 ash211 1896 1997 102 1.001 .480 .238 2.540 .439 .464 31 ash221 1835 1997 163 .997 .480 .519 3.236 .402 .554 32 ash042 1782 1994 213 .996 .490 .845 4.101 .480 .368 33 ash212 1871 1997 127 1.062 .611 2.138 10.466 .412 .595 34 asx102 1567 1785 219 .990 .529 1.001 4.687 .362 .619 35 asx101 1567 1807 241 .989 .604 1.890 11.748 .404 .622 36 asx081 1640 1837 198 .971 .473 .697 3.326 .332 .650 37 asx083 1634 1796 163 .967 .425 .761 3.334 .334 .523 38 asx611 1677 1833 157 1.351 1.951 7.758 70.633 .297 .517 39 asx121 1590 1776 187 .987 .421 .610 2.858 .284 .660 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 40 asx122 1602 1807 206 1.000 .409 1.004 4.875 .318 .489 41 asx041 1810 1997 188 1.002 .569 1.275 4.659 .358 .675 42 asx011 1715 1888 174 .994 .527 .935 3.670 .350 .564 43 asx061 1574 1997 424 .998 .437 .491 3.228 .372 .554 44 asx062 1574 1698 125 .994 .422 .310 2.613 .437 .253 45 asx021 1814 1987 174 .982 .392 .155 3.304 .302 .631 |---------------- SUMMARY OF SINGLE TREE-RING SERIES STATISTICS ---------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 190 1.009 .540 1.021 7.377 .379 .548 STANDARD DEVIATION 62 .067 .351 1.642 16.172 .065 .124 MEDIAN (50TH QUANTILE) 174 .997 .466 .644 3.447 .363 .564 INTERQUARTILE RANGE 60 .009 .089 .574 1.673 .098 .183 MINIMUM VALUE 102 .946 .317 -.100 2.322 .284 .253 LOWER HINGE (25TH QUANTILE) 153 .991 .424 .388 2.986 .332 .467 UPPER HINGE (75TH QUANTILE) 213 1.000 .512 .962 4.659 .429 .650 MAXIMUM VALUE 424 1.351 2.273 8.742 90.232 .530 .763 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD MEDIAN MINIMUM LOWER UPPER MAXIMUM CORRS RBAR DEVIATION ERROR CORR CORR HINGE HINGE CORR 778 .469 .156 .006 .490 -.184 .393 .568 .861 PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 78.59 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 25.58 MINIMUM CORRELATION: -.184 FOR SERIES 7 AND 27 169 YEARS MAXIMUM CORRELATION: .861 FOR SERIES 24 AND 25 178 YEARS |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1592. 1620. 1645. 1670. 1695. 1720. 1745. 1770. 1795. 1820. CORR 1. 10. 15. 36. 28. 36. 66. 78. 66. 78. RBAR .953 .463 .499 .330 .468 .531 .560 .591 .407 .499 SDEV .132 .190 .162 .215 .154 .139 .172 .121 .276 .156 SERR .000 .060 .042 .036 .029 .023 .021 .014 .034 .018 EPS .989 .843 .887 .822 .897 .930 .949 .960 .924 .955 NSS 4.6 6.2 7.9 9.4 9.9 11.6 14.6 16.7 17.7 21.1 YEAR 1845. 1870. 1895. 1920. 1945. 1970. CORR 190. 351. 496. 561. 561. 496. RBAR .466 .454 .446 .612 .626 .532 SDEV .179 .177 .222 .147 .140 .180 SERR .013 .009 .010 .006 .006 .008 EPS .960 .965 .966 .982 .983 .975 NSS 27.6 33.0 35.2 35.2 34.8 33.9 |======================== STANDARD CHRONOLOGY STATISTICS ======================| *** VARIANCE STABILIZED WITH BRIFFA RBAR-WEIGHTED METHOD *** |----------------- ROBUST MEAN STANDARD CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1567 1997 431 .980 .360 .623 4.471 .288 .550 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED .471 .158 .169 156 275 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.36 1.14 1.00 1.12 2.26 656.38 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS .89 .09 .40 .86 .95 1.00 |----------- STANDARD CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF .549 .411 .279 .157 .071 -.006 -.048 -.104 -.048 -.047 PACF .549 .157 .003 -.055 -.043 -.054 -.027 -.066 .081 .000 95% C.L. .096 .122 .134 .140 .141 .141 .141 .142 .142 .142 |------------------ STANDARD CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 2 .331 .482 .143 |======================= POOLED AUTOREGRESSION ANALYSIS =======================| POOLED AUTOCORRELATIONS: LAG T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 .546 .362 .290 .185 .074 .008 -.075 -.117 -.063 -.058 YULE-WALKER ESTIMATES OF AUTOREGRESSION: ORDER T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 1 .546 2 .497 .091 3 .489 .047 .087 4 .492 .049 .103 -.032 5 .489 .056 .106 .004 -.073 6 .486 .057 .111 .007 -.051 -.045 7 .482 .052 .112 .017 -.046 -.001 -.091 8 .478 .052 .110 .017 -.041 .001 -.070 -.043 9 .481 .057 .110 .021 -.042 -.007 -.074 -.079 .075 10 .481 .057 .110 .021 -.042 -.007 -.074 -.079 .075 .000 LAST TERM IN EACH ROW ABOVE EQUALS THE PARTIAL AUTOCORRELATION COEFFICIENT AKAIKE INFORMATION CRITERION: AR( 0) AR( 1) AR( 2) AR( 3) AR( 4) AR( 5) 4437.40 4286.53 4284.97 4283.69 4285.25 4284.93 AR( 6) AR( 7) AR( 8) AR( 9) AR(10) 4286.04 4284.49 4285.69 4285.25 4287.25 SELECTED AUTOREGRESSION ORDER: 3 AR ORDER SELECTION CRITERION: IOPT=0 FIRST-MINIMUM AIC SELECTION THE AIC TRACE SHOULD BE CHECKED TO SEE IF AR ORDER SELECTION CRITERION IS ADEQUATE. E.G. IF AR-ORDERS OF THE FIRST-MINIMUM AND THE FULL-MINIMUM AIC ARE CLOSE, AN ARSTAN RUN WITH FULL-MINIMUM AIC ORDER SELECTION MIGHT BE TRIED AUTOREGRESSION COEFFICIENTS: T= -1 T= -2 T= -3 T= -4 T= -5 T= -6 T= -7 T= -8 T= -9 T=-10 .489 .047 .087 R-SQUARED DUE TO POOLED AUTOREGRESSION: 30.97 PCT IMPULSE RESPONSE FUNCTION WEIGHTS FOR THIS AR ( 3) PROCESS OUT TO ORDER 50: 1.0000 .489 .286 .250 .179 .124 .091 .066 .047 .034 .0247 .018 .013 .009 .007 .005 .003 .003 .002 .001 .0009 .001 .000 .000 .000 .000 .000 .000 .000 .000 .0000 .000 .000 .000 .000 .000 .000 .000 .000 .000 .0000 .000 .000 .000 .000 .000 .000 .000 .000 .000 |================== INDIVIDUAL SERIES AUTOREGRESSION ANALYSES =================| |---------------- INDIVIDUAL SERIES AUTOREGRESSIVE COEFFICIENTS ---------------| SERIES IDENT ORDER RSQ t-1 t-2 t-3 ..... t-IP 1 ash021 3 .329 .413 .197 .051 2 ash031 3 .493 .665 .027 .027 3 ash061 3 .330 .522 .055 .044 4 ash071 3 .383 .656 -.071 .013 5 ash081 3 .437 .605 .038 .058 6 ash111 3 .136 .324 -.056 .180 7 ash112 3 .454 .416 -.080 .449 8 ash122 3 .249 .464 -.018 .118 9 ash132 3 .325 .491 .040 .112 10 ash161 3 .448 .528 .069 .149 11 ash192 3 .520 .539 .305 -.093 12 ash222 3 .363 .602 -.055 .080 13 ash231 3 .375 .452 .192 .042 14 ash232 3 .626 .497 .261 .093 15 ash011 3 .117 .208 .138 .126 16 ash012 3 .103 .235 .098 .065 17 ash032 3 .475 .627 .114 -.041 18 ash041 3 .238 .325 .110 .179 19 ash091 3 .200 .411 .012 .083 SERIES IDENT ORDER RSQ t-1 t-2 t-3 ..... t-IP 20 ash121 3 .236 .429 -.053 .197 21 ash101 3 .197 .368 -.018 .194 22 ash162 3 .450 .617 .026 .067 23 ash171 3 .461 .704 -.085 .068 24 ash181 3 .430 .602 .059 .026 25 ash182 3 .424 .535 .052 .133 26 ash321 3 .257 .503 -.068 .045 27 ash022 3 .736 .967 -.066 -.085 28 ash201 3 .243 .390 .017 .196 29 ash202 3 .282 .486 -.043 .155 30 ash211 3 .277 .344 .135 .162 31 ash221 3 .316 .506 .036 .080 32 ash042 3 .204 .252 .190 .138 33 ash212 3 .469 .505 .157 .092 34 asx102 3 .419 .558 .120 .011 35 asx101 3 .412 .618 -.049 .115 36 asx081 3 .445 .540 .084 .113 37 asx083 3 .282 .504 .050 -.005 38 asx611 3 .637 .743 -.182 .270 39 asx121 3 .446 .698 -.007 -.071 SERIES IDENT ORDER RSQ t-1 t-2 t-3 ..... t-IP 40 asx122 3 .246 .489 -.013 .033 41 asx041 3 .507 .564 -.020 .243 42 asx011 3 .362 .636 -.044 -.049 43 asx061 3 .317 .499 .071 .046 44 asx062 3 .106 .235 .128 -.067 45 asx021 3 .412 .543 .106 .047 |------------- SUMMARY STATISTICS FOR AUTOREGRESSIVE COEFFICIENTS -------------| ORDER RSQ t-1 t-2 t-3 ..... t-IP ARITHMETIC MEAN 3 .359 .507 .043 .086 STANDARD DEVIATION 0 .141 .147 .100 .101 MEDIAN 3 .363 .505 .038 .080 INTERQUARTILE RANGE 0 .199 .187 .153 .106 MINIMUM VALUE 3 .103 .208 -.182 -.093 LOWER HINGE 3 .249 .416 -.043 .033 UPPER HINGE 3 .448 .602 .110 .138 MAXIMUM VALUE 3 .736 .967 .305 .449 |------------------- STATISTICS OF PREWHITENED TREE-RING DATA -----------------| SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 1 ash021 1716 1997 282 1.001 .432 .136 3.129 .515 -.006 2 ash031 1749 1978 230 1.000 .319 .278 3.210 .377 -.003 3 ash061 1803 1997 195 1.000 .413 .541 3.456 .467 .003 4 ash071 1838 1997 160 1.000 .358 .503 4.017 .420 .000 5 ash081 1766 1997 232 1.000 .324 .467 4.109 .370 -.006 6 ash111 1830 1997 168 1.000 .294 .602 3.408 .322 -.004 7 ash112 1829 1997 169 1.000 .318 .521 3.224 .355 .029 8 ash122 1864 1997 134 1.000 .375 .027 3.550 .455 -.001 9 ash132 1866 1997 132 1.002 .415 .508 3.815 .502 -.001 10 ash161 1842 1997 156 1.000 .346 .391 3.835 .400 .006 11 ash192 1808 1997 190 1.000 .284 -.139 3.017 .330 .006 12 ash222 1818 1997 180 1.000 .360 .192 3.577 .435 -.004 13 ash231 1736 1997 262 1.000 .438 .562 3.532 .518 -.002 14 ash232 1735 1997 263 1.000 .355 .303 3.442 .417 -.003 15 ash011 1736 1960 225 1.000 .358 .184 2.980 .425 .003 16 ash012 1826 1995 170 1.000 .404 .425 3.186 .479 -.002 17 ash032 1704 1997 294 1.000 .302 .356 3.119 .346 -.004 18 ash041 1784 1995 212 1.000 .401 .313 3.107 .488 -.004 19 ash091 1848 1997 150 1.000 .328 -.163 2.829 .406 -.014 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 20 ash121 1866 1997 132 1.000 .317 -.330 2.744 .388 .006 21 ash101 1888 1997 110 1.000 .442 .669 3.126 .513 .010 22 ash162 1842 1997 156 1.000 .380 .397 4.203 .429 .003 23 ash171 1845 1997 153 1.001 .433 .209 3.452 .543 .006 24 ash181 1820 1997 178 1.000 .375 .365 3.935 .427 .000 25 ash182 1819 1997 179 1.000 .347 .193 3.215 .391 .014 26 ash321 1782 1907 126 1.000 .307 .514 3.665 .338 .004 27 ash022 1642 1997 356 1.039 1.101 7.274 72.092 .652 .253 28 ash201 1855 1997 143 1.000 .419 .439 2.948 .478 .002 29 ash202 1846 1997 152 1.000 .408 .379 3.092 .472 .009 30 ash211 1896 1997 102 1.000 .409 .728 3.183 .466 -.020 31 ash221 1835 1997 163 1.000 .397 .296 3.055 .480 .000 32 ash042 1782 1994 213 1.002 .433 .433 3.152 .509 -.008 33 ash212 1871 1997 127 1.000 .447 1.053 4.825 .505 .060 34 asx102 1567 1785 219 1.002 .395 .665 4.734 .414 -.001 35 asx101 1567 1807 241 1.002 .454 2.125 16.052 .445 .002 36 asx081 1640 1837 198 1.000 .352 .854 4.906 .371 -.003 37 asx083 1634 1796 163 1.000 .359 1.028 5.689 .375 -.006 38 asx611 1677 1833 157 1.005 1.202 8.600 85.509 .498 .267 39 asx121 1590 1776 187 1.000 .314 .699 3.678 .341 .005 SERIES IDENT FRST LAST YEAR MEAN STDEV SKEW KURT SENS AC(1) 40 asx122 1602 1807 206 1.000 .356 1.348 7.097 .375 .003 41 asx041 1810 1997 188 1.000 .401 .783 4.235 .448 .024 42 asx011 1715 1888 174 1.001 .415 .563 3.280 .442 -.017 43 asx061 1574 1997 424 1.000 .361 .401 3.896 .421 -.001 44 asx062 1574 1698 125 1.000 .403 .424 3.070 .460 -.014 45 asx021 1814 1987 174 1.000 .301 .210 3.347 .332 .000 |------------- SUMMARY OF PREWHITENED TREE-RING SERIES STATISTICS -------------| YEAR MEAN STDEV SKEW KURT SENS AC(1) ARITHMETIC MEAN 190 1.001 .408 .807 7.261 .434 .013 STANDARD DEVIATION 62 .006 .169 1.611 15.797 .068 .055 MEDIAN (50TH QUANTILE) 174 1.000 .375 .433 3.452 .429 .000 INTERQUARTILE RANGE 60 .000 .069 .369 .888 .102 .009 MINIMUM VALUE 102 1.000 .284 -.330 2.744 .322 -.020 LOWER HINGE (25TH QUANTILE) 153 1.000 .346 .296 3.129 .377 -.004 UPPER HINGE (75TH QUANTILE) 213 1.000 .415 .665 4.017 .479 .006 MAXIMUM VALUE 424 1.039 1.202 8.600 85.509 .652 .267 |-------------------- ALL POSSIBLE SERIES RBAR STATISTICS ---------------------| TOTAL MEAN STANDARD STANDARD MEDIAN MINIMUM LOWER UPPER MAXIMUM CORRS RBAR DEVIATION ERROR CORR CORR HINGE HINGE CORR 778 .491 .115 .004 .505 .039 .439 .561 .843 PERCENT OF ALL POSSIBLE CORRELATIONS USED (N>20 YEARS): 78.59 PERCENT OF ALL POSSIBLE TREE-RING YEARS USED IN RBAR: 25.58 MINIMUM CORRELATION: .039 FOR SERIES 20 AND 42 23 YEARS MAXIMUM CORRELATION: .843 FOR SERIES 24 AND 25 178 YEARS |--------------------------- RUNNING RBAR STATISTICS --------------------------| YEAR 1592. 1620. 1645. 1670. 1695. 1720. 1745. 1770. 1795. 1820. CORR 1. 10. 15. 36. 28. 36. 66. 78. 66. 78. RBAR .907 .446 .509 .464 .504 .511 .494 .491 .439 .490 SDEV .180 .144 .142 .117 .106 .149 .127 .093 .151 .142 SERR .000 .045 .037 .019 .020 .025 .016 .011 .019 .016 EPS .978 .834 .891 .890 .910 .924 .934 .942 .933 .953 NSS 4.6 6.2 7.9 9.4 9.9 11.6 14.6 16.7 17.7 21.1 YEAR 1845. 1870. 1895. 1920. 1945. 1970. CORR 190. 351. 496. 561. 561. 496. RBAR .496 .490 .481 .525 .564 .599 SDEV .125 .134 .140 .121 .104 .117 SERR .009 .007 .006 .005 .004 .005 EPS .965 .969 .970 .975 .978 .981 NSS 27.6 33.0 35.2 35.2 34.8 33.9 |======================== RESIDUAL CHRONOLOGY STATISTICS ======================| *** VARIANCE STABILIZED WITH BRIFFA RBAR-WEIGHTED METHOD *** |----------------- ROBUST MEAN RESIDUAL CHRONOLOGY STATISTICS -----------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1567 1997 431 .984 .277 .165 3.304 .321 -.049 MEAN INDICES VS THEIR STANDARD DEVIATIONS ROBUST MEAN EFFICIENCY RESULTS CORRELATION SLOPE INTERCEPT # IMPROVED # UNIMPROVED .374 .131 .122 141 290 |---------------- ROBUST MEAN EFFICIENCY GAIN AND LOSS RESULTS ----------------| MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM GAIN RANGE GAIN HINGE HINGE GAIN 1.27 .81 1.00 1.09 1.90 133.77 MEDIAN INTERQUARTILE MINIMUM LOWER UPPER MAXIMUM LOSS RANGE LOSS HINGE HINGE LOSS .90 .11 .58 .85 .97 1.00 |----------- RESIDUAL CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS ------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF -.049 .073 .008 -.028 -.021 -.052 -.023 -.111 .038 .023 PACF -.049 .071 .015 -.032 -.026 -.050 -.024 -.107 .031 .040 95% C.L. .096 .097 .097 .097 .097 .097 .097 .098 .099 .099 |------------------ RESIDUAL CHRONOLOGY AUTOREGRESSIVE MODEL ------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 0 .000 |---------- REWHITENED CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS -----------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF .001 .000 .005 -.029 -.024 -.045 -.032 -.109 .040 .036 PACF .001 .000 .005 -.029 -.024 -.045 -.031 -.110 .039 .032 95% C.L. .096 .096 .096 .096 .096 .096 .097 .097 .098 .098 |----------------- REWHITENED CHRONOLOGY AUTOREGRESSIVE MODEL -----------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 3 .001 .001 .000 .005 |========================= ARSTAN CHRONOLOGY STATISTICS =======================| |----------------- ROBUST MEAN ARSTAN CHRONOLOGY STATISTICS -------------------| FIRST LAST TOTAL MEAN STDRD SKEW KURTOSIS MEAN SERIAL YEAR YEAR YEARS INDEX DEV COEFF COEFF SENS CORR 1567 1997 431 .985 .330 .533 3.984 .269 .529 |------------ ARSTAN CHRONOLOGY AUTO AND PARTIAL AUTOCORRELATIONS -------------| LAG T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 ACF .528 .336 .248 .133 .054 -.009 -.050 -.096 -.035 -.033 PACF .528 .080 .060 -.049 -.037 -.048 -.033 -.059 .081 -.013 95% C.L. .096 .120 .129 .133 .134 .134 .134 .135 .135 .135 |------------------- ARSTAN CHRONOLOGY AUTOREGRESSIVE MODEL -------------------| ORD RSQ T-1 T-2 T-3 T-4 T-5 T-6 T-7 T-8 T-9 T-10 1 .292 .537 YEAR NUM SEG AGE RAW STD RES ARS 1567 2. 230.000 1.000 1.554 2.606 1.959 2.234 1568 2. 230.000 2.000 .485 .901 .190 .844 1569 2. 230.000 3.000 1.123 1.891 1.718 1.752 1570 2. 230.000 4.000 1.004 1.688 1.166 1.644 1571 2. 230.000 5.000 1.359 2.216 1.732 2.078 1572 2. 230.000 6.000 1.596 2.560 1.797 2.430 1573 2. 230.000 7.000 1.091 1.778 .764 1.580 1574 4. 252.250 4.500 .809 1.449 .927 1.382 1575 4. 252.250 5.500 .594 1.075 .803 1.152 1576 4. 252.250 6.500 .456 .694 .631 .784 1577 4. 252.250 7.500 .294 .462 .609 .554 1578 4. 252.250 8.500 .164 .261 .640 .435 1579 4. 252.250 9.500 .119 .214 .604 .297 1580 4. 252.250 10.500 .344 .618 1.029 .630 1581 4. 252.250 11.500 .336 .526 .831 .577 1582 4. 252.250 12.500 .321 .489 .765 .490 1583 4. 252.250 13.500 .572 .830 1.092 .800 1584 4. 252.250 14.500 .530 .897 1.010 .861 1585 4. 252.250 15.500 .502 .804 .864 .752 1586 4. 252.250 16.500 .505 .660 .781 .645 1587 4. 252.250 17.500 .441 .649 .876 .688 1588 4. 252.250 18.500 .472 .687 .972 .791 1589 4. 252.250 19.500 .418 .603 .827 .689 1590 5. 239.200 16.600 .420 .855 1.087 .908 1591 5. 239.200 17.600 .082 .277 .444 .375 1592 5. 239.200 18.600 .551 .980 1.306 .979 1593 5. 239.200 19.600 .434 .662 .850 .812 1594 5. 239.200 20.600 .508 .727 1.003 .865 1595 5. 239.200 21.600 .572 .785 1.023 .956 1596 5. 239.200 22.600 .588 .796 .964 .930 1597 5. 239.200 23.600 .586 .856 .983 .944 1598 5. 239.200 24.600 .384 .893 .910 .886 1599 5. 239.200 25.600 .694 1.536 1.485 1.431 1600 5. 239.200 26.600 .400 .611 .503 .713 1601 5. 239.200 27.600 .802 1.013 1.352 1.232 1602 6. 233.667 24.000 .602 .861 .935 1.082 1603 6. 233.667 25.000 .586 .988 1.061 1.096 1604 6. 233.667 26.000 .298 .538 .634 .715 1605 6. 233.667 27.000 .213 .340 .598 .480 1606 6. 233.667 28.000 .606 .854 1.210 .960 1607 6. 233.667 29.000 .521 .808 .967 .908 1608 6. 233.667 30.000 .754 1.086 1.183 1.101 1609 6. 233.667 31.000 .889 1.157 1.307 1.359 1610 6. 233.667 32.000 .942 1.510 1.392 1.574 1611 6. 233.667 33.000 1.000 1.281 1.111 1.427 1612 6. 233.667 34.000 .851 1.147 .882 1.159 1613 6. 233.667 35.000 .863 1.121 1.049 1.206 1614 6. 233.667 36.000 .781 1.076 .952 1.107 1615 6. 233.667 37.000 .734 .975 .893 .979 1616 6. 233.667 38.000 1.014 1.315 1.160 1.182 1617 6. 233.667 39.000 .731 .950 .740 .847 1618 6. 233.667 40.000 .888 1.119 1.075 1.017 1619 6. 233.667 41.000 .868 1.093 1.042 1.069 1620 6. 233.667 42.000 1.136 1.564 1.384 1.415 1621 6. 233.667 43.000 1.281 1.685 1.481 1.699 1622 6. 233.667 44.000 1.160 1.516 1.080 1.458 1623 6. 233.667 45.000 .808 1.024 .682 .985 1624 6. 233.667 46.000 .370 .532 .503 .588 1625 6. 233.667 47.000 .861 1.091 1.251 1.098 1626 6. 233.667 48.000 1.186 1.434 1.416 1.453 1627 6. 233.667 49.000 1.318 1.566 1.339 1.539 1628 6. 233.667 50.000 .966 1.240 .874 1.177 1629 6. 233.667 51.000 1.028 1.230 1.068 1.229 1630 6. 233.667 52.000 .855 1.058 .887 1.064 1631 6. 233.667 53.000 .771 .942 .879 .947 1632 6. 233.667 54.000 .719 .905 .962 .969 1633 6. 233.667 55.000 1.052 1.442 1.384 1.381 1634 7. 223.571 48.143 .847 1.084 .951 1.142 1635 7. 223.571 49.143 .621 .854 .795 .889 1636 7. 223.571 50.143 .435 .572 .636 .631 1637 7. 223.571 51.143 .226 .277 .509 .345 1638 7. 223.571 52.143 .164 .205 .641 .304 1639 7. 223.571 53.143 .361 .486 .956 .562 1640 8. 220.375 47.500 .532 .682 1.032 .737 1641 8. 220.375 48.500 .756 .979 1.230 1.030 1642 9. 235.444 44.111 .878 1.012 1.057 1.031 1643 9. 235.444 45.111 .971 1.206 1.220 1.223 1644 9. 235.444 46.111 .991 1.137 1.063 1.186 1645 9. 235.444 47.111 .443 .502 .439 .553 1646 9. 235.444 48.111 1.199 1.313 1.336 1.155 1647 9. 235.444 49.111 .931 1.090 .895 .976 1648 9. 235.444 50.111 .776 .913 .797 .763 1649 9. 235.444 51.111 .700 .740 .823 .730 1650 9. 235.444 52.111 .517 .558 .693 .558 1651 9. 235.444 53.111 .597 .703 .855 .615 1652 9. 235.444 54.111 .957 .937 1.136 .913 1653 9. 235.444 55.111 1.149 1.216 1.260 1.170 1654 9. 235.444 56.111 .464 .466 .346 .401 1655 9. 235.444 57.111 .857 .944 1.171 .889 1656 9. 235.444 58.111 1.033 1.146 1.241 1.182 1657 9. 235.444 59.111 1.021 1.116 1.026 1.067 1658 9. 235.444 60.111 1.047 1.182 1.089 1.131 1659 9. 235.444 61.111 .927 .970 .900 .993 1660 9. 235.444 62.111 .814 .761 .724 .742 1661 9. 235.444 63.111 1.011 1.035 1.186 1.081 1662 9. 235.444 64.111 .766 .770 .780 .817 1663 9. 235.444 65.111 .917 .920 1.071 .972 1664 9. 235.444 66.111 .718 .754 .866 .861 1665 9. 235.444 67.111 .686 .739 .935 .860 1666 9. 235.444 68.111 1.208 1.266 1.314 1.246 1667 9. 235.444 69.111 1.077 1.105 .992 1.104 1668 9. 235.444 70.111 .606 .607 .484 .544 1669 9. 235.444 71.111 1.061 1.138 1.303 1.116 1670 9. 235.444 72.111 .752 .774 .772 .827 1671 9. 235.444 73.111 .481 .579 .616 .507 1672 9. 235.444 74.111 .729 .796 1.078 .848 1673 9. 235.444 75.111 1.060 1.163 1.324 1.221 1674 9. 235.444 76.111 1.058 .999 1.106 1.174 1675 9. 235.444 77.111 1.147 1.195 1.096 1.188 1676 9. 235.444 78.111 1.311 1.474 1.331 1.460 1677 10. 227.600 71.300 1.060 1.060 .859 1.118 1678 10. 227.600 72.300 1.055 1.102 .991 1.097 1679 10. 227.600 73.300 .645 .645 .588 .691 1680 10. 227.600 74.300 .981 1.037 1.167 1.041 1681 10. 227.600 75.300 .940 .951 .957 .980 1682 10. 227.600 76.300 1.188 1.202 1.153 1.128 1683 10. 227.600 77.300 1.633 1.620 1.466 1.541 1684 10. 227.600 78.300 1.036 1.129 .783 1.062 1685 10. 227.600 79.300 1.246 1.164 1.026 1.103 1686 10. 227.600 80.300 1.088 1.113 1.001 1.111 1687 10. 227.600 81.300 1.325 1.319 1.239 1.313 1688 10. 227.600 82.300 .968 .927 .720 .897 1689 10. 227.600 83.300 .615 .580 .547 .531 1690 10. 227.600 84.300 .492 .474 .781 .584 1691 10. 227.600 85.300 .847 .876 1.101 .876 1692 10. 227.600 86.300 1.056 1.059 1.116 1.005 1693 10. 227.600 87.300 .925 .912 .830 .800 1694 10. 227.600 88.300 1.126 .995 1.005 .906 1695 10. 227.600 89.300 1.231 1.168 1.151 1.106 1696 10. 227.600 90.300 .873 .977 .831 .870 1697 10. 227.600 91.300 1.085 1.201 1.118 1.061 1698 10. 227.600 92.300 .864 .935 .821 .864 1699 9. 239.000 89.667 1.474 1.418 1.382 1.317 1700 9. 239.000 90.667 1.511 1.443 1.165 1.328 1701 9. 239.000 91.667 1.130 1.140 .776 .949 1702 9. 239.000 92.667 1.344 1.417 1.158 1.186 1703 9. 239.000 93.667 1.289 1.399 1.085 1.212 1704 10. 244.500 85.300 .823 .890 .718 .836 1705 10. 244.500 86.300 1.057 1.062 1.054 1.009 1706 10. 244.500 87.300 .694 .813 .768 .793 1707 10. 244.500 88.300 .736 .780 .846 .741 1708 10. 244.500 89.300 .555 .614 .728 .602 1709 10. 244.500 90.300 .750 .738 .983 .768 1710 10. 244.500 91.300 .557 .643 .807 .662 1711 10. 244.500 92.300 .527 .540 .741 .540 1712 10. 244.500 93.300 .503 .595 .890 .639 1713 10. 244.500 94.300 .744 .924 1.179 .961 1714 10. 244.500 95.300 1.002 1.466 1.333 1.266 1715 11. 238.091 87.636 1.480 1.694 1.527 1.634 1716 12. 241.750 81.333 1.957 2.075 1.685 2.014 1717 12. 241.750 82.333 1.026 .954 .282 .841 1718 12. 241.750 83.333 .584 .626 .485 .520 1719 12. 241.750 84.333 .797 .978 1.126 .982 1720 12. 241.750 85.333 .746 .870 .862 .826 1721 12. 241.750 86.333 .506 .654 .727 .609 1722 12. 241.750 87.333 .942 .946 1.124 .933 1723 12. 241.750 88.333 .815 .989 .960 .904 1724 12. 241.750 89.333 .749 .758 .835 .761 1725 12. 241.750 90.333 .696 .793 .864 .746 1726 12. 241.750 91.333 .931 .998 1.066 .932 1727 12. 241.750 92.333 .969 1.052 1.017 .961 1728 12. 241.750 93.333 1.020 1.116 1.034 .999 1729 12. 241.750 94.333 1.374 1.461 1.312 1.313 1730 12. 241.750 95.333 1.100 1.256 .968 1.127 1731 12. 241.750 96.333 .833 1.073 .896 .983 1732 12. 241.750 97.333 1.198 1.421 1.289 1.324 1733 12. 241.750 98.333 .800 .907 .669 .848 1734 12. 241.750 99.333 .435 .506 .520 .470 1735 13. 243.385 92.692 .324 .422 .699 .470 1736 15. 243.400 81.333 .326 .346 .746 .459 1737 15. 243.400 82.333 .637 .853 1.232 .905 1738 15. 243.400 83.333 .847 1.082 1.336 1.228 1739 15. 243.400 84.333 .733 1.024 .976 1.045 1740 15. 243.400 85.333 1.193 1.321 1.199 1.233 1741 15. 243.400 86.333 .620 .656 .529 .674 1742 15. 243.400 87.333 .497 .638 .732 .597 1743 15. 243.400 88.333 .605 .642 .909 .727 1744 15. 243.400 89.333 .480 .677 .919 .748 1745 15. 243.400 90.333 .450 .509 .725 .564 1746 15. 243.400 91.333 .684 .757 1.029 .789 1747 15. 243.400 92.333 .596 .694 .915 .779 1748 15. 243.400 93.333 1.006 1.110 1.231 1.085 1749 16. 242.563 88.500 .930 1.005 .931 .953 1750 16. 242.563 89.500 1.088 1.131 1.086 1.058 1751 16. 242.563 90.500 .653 .668 .597 .641 1752 16. 242.563 91.500 .681 .750 .893 .726 1753 16. 242.563 92.500 .567 .677 .860 .724 1754 16. 242.563 93.500 .654 .738 .940 .771 1755 16. 242.563 94.500 .430 .498 .672 .533 1756 16. 242.563 95.500 .230 .249 .557 .304 1757 16. 242.563 96.500 .259 .338 .801 .428 1758 16. 242.563 97.500 .342 .383 .867 .524 1759 16. 242.563 98.500 .382 .417 .857 .546 1760 16. 242.563 99.500 .336 .462 .850 .566 1761 16. 242.563 100.500 .795 .869 1.235 .969 1762 16. 242.563 101.500 .825 .936 1.059 .993 1763 16. 242.563 102.500 1.051 1.080 1.180 1.147 1764 16. 242.563 103.500 1.086 1.227 1.108 1.187 1765 16. 242.563 104.500 1.048 1.218 1.053 1.161 1766 17. 241.941 99.353 1.541 1.561 1.446 1.557 1767 17. 241.941 100.353 1.185 1.192 .863 1.168 1768 17. 241.941 101.353 1.359 1.492 1.245 1.377 1769 17. 241.941 102.353 .879 .934 .670 .920 1770 17. 241.941 103.353 1.030 1.134 1.049 1.052 1771 17. 241.941 104.353 1.066 1.271 1.161 1.226 1772 17. 241.941 105.353 .809 1.064 .900 1.016 1773 17. 241.941 106.353 .940 1.059 1.026 1.059 1774 17. 241.941 107.353 1.197 1.368 1.329 1.388 1775 17. 241.941 108.353 1.342 1.579 1.320 1.523 1776 17. 241.941 109.353 1.322 1.539 1.177 1.466 1777 16. 245.375 105.500 1.383 1.574 1.165 1.461 1778 16. 245.375 106.500 1.307 1.588 1.257 1.560 1779 16. 245.375 107.500 .804 .933 .570 .916 1780 16. 245.375 108.500 1.471 1.707 1.606 1.642 1781 16. 245.375 109.500 1.262 1.342 .999 1.367 1782 18. 236.944 98.333 .946 .968 .709 .921 1783 18. 236.944 99.333 1.224 1.225 1.140 1.185 1784 19. 235.632 95.105 .816 .908 .812 .941 1785 19. 235.632 96.105 .732 .852 .845 .827 1786 18. 236.556 90.278 1.329 1.340 1.406 1.345 1787 18. 236.556 91.278 1.118 1.061 .927 1.092 1788 18. 236.556 92.278 .809 .807 .706 .763 1789 18. 236.556 93.278 .615 .591 .637 .565 1790 18. 236.556 94.278 .898 .888 1.083 .878 1791 18. 236.556 95.278 .789 .745 .859 .767 1792 18. 236.556 96.278 1.088 1.093 1.214 1.066 1793 18. 236.556 97.278 1.095 1.111 1.089 1.109 1794 18. 236.556 98.278 1.227 1.211 1.118 1.164 1795 18. 236.556 99.278 1.193 1.285 1.136 1.237 1796 18. 236.556 100.278 .671 .800 .665 .808 1797 17. 240.882 97.588 .940 1.000 1.059 1.000 1798 17. 240.882 98.588 .755 .819 .853 .875 1799 17. 240.882 99.588 1.342 1.196 1.334 1.266 1800 17. 240.882 100.588 .842 .794 .741 .875 1801 17. 240.882 101.588 .838 .800 .841 .791 1802 17. 240.882 102.588 .964 .947 1.073 .998 1803 18. 238.333 97.889 1.009 .949 1.010 .998 1804 18. 238.333 98.889 .749 .839 .794 .785 1805 18. 238.333 99.889 .935 1.020 1.074 .978 1806 18. 238.333 100.889 1.177 1.347 1.329 1.318 1807 18. 238.333 101.889 .935 .995 .809 .955 1808 17. 237.235 82.588 .956 .918 .827 .828 1809 17. 237.235 83.588 1.125 1.131 1.151 1.103 1810 18. 234.500 79.944 .999 .942 .908 .955 1811 18. 234.500 80.944 1.076 .999 .977 .955 1812 18. 234.500 81.944 .975 .868 .896 .890 1813 18. 234.500 82.944 .827 .925 .965 .915 1814 19. 231.316 79.579 .752 .869 .924 .883 1815 19. 231.316 80.579 .850 .876 .979 .918 1816 19. 231.316 81.579 1.088 1.134 1.188 1.144 1817 19. 231.316 82.579 .566 .587 .549 .615 1818 20. 228.750 79.450 .530 .546 .716 .537 1819 21. 226.381 76.667 .861 .753 1.024 .802 1820 22. 224.182 74.182 1.212 1.007 1.196 1.054 1821 22. 224.182 75.182 1.350 1.136 1.195 1.181 1822 22. 224.182 76.182 .735 .741 .742 .826 1823 22. 224.182 77.182 .935 .845 .890 .828 1824 22. 224.182 78.182 .420 .352 .478 .412 1825 22. 224.182 79.182 1.075 .908 1.234 .932 1826 23. 221.826 76.739 .751 .645 .772 .706 1827 23. 221.826 77.739 .758 .840 1.037 .848 1828 23. 221.826 78.739 1.029 1.089 1.198 1.114 1829 24. 219.625 76.458 1.004 .991 1.001 1.033 1830 25. 217.560 74.400 1.660 1.429 1.414 1.433 1831 25. 217.560 75.400 1.179 1.004 .812 1.045 1832 25. 217.560 76.400 1.099 1.033 .941 .996 1833 25. 217.560 77.400 1.253 1.142 1.088 1.136 1834 24. 220.083 75.083 1.819 1.452 1.370 1.450 1835 25. 217.800 73.080 1.055 .837 .647 .883 1836 25. 217.800 74.080 1.073 .970 .975 .961 1837 25. 217.800 75.080 1.456 1.081 1.083 1.107 1838 25. 216.280 68.160 1.608 1.131 1.096 1.146 1839 25. 216.280 69.160 1.894 1.330 1.245 1.328 1840 25. 216.280 70.160 1.988 1.521 1.346 1.533 1841 25. 216.280 71.160 1.755 1.398 1.150 1.449 1842 27. 211.815 66.889 1.616 1.169 .901 1.185 1843 27. 211.815 67.889 1.374 1.190 .958 1.125 1844 27. 211.815 68.889 2.224 1.665 1.524 1.643 1845 28. 209.714 67.429 1.200 .973 .622 .968 1846 29. 207.724 66.103 .738 .747 .703 .739 1847 29. 207.724 67.103 .428 .553 .635 .571 1848 30. 205.800 65.867 .248 .274 .536 .321 1849 30. 205.800 66.867 .610 .843 1.255 .890 1850 30. 205.800 67.867 .833 .859 1.074 .961 1851 30. 205.800 68.867 .981 .954 1.064 .990 1852 30. 205.800 69.867 .940 .881 .933 .926 1853 30. 205.800 70.867 1.238 1.054 1.132 1.102 1854 30. 205.800 71.867 1.253 1.136 1.124 1.179 1855 31. 203.774 70.548 1.023 .873 .808 .904 1856 31. 203.774 71.548 1.010 .855 .855 .836 1857 31. 203.774 72.548 .938 .779 .880 .820 1858 31. 203.774 73.548 1.549 1.408 1.548 1.454 1859 31. 203.774 74.548 1.233 1.109 .973 1.182 1860 31. 203.774 75.548 1.188 1.173 1.070 1.175 1861 31. 203.774 76.548 1.152 .970 .878 1.022 1862 31. 203.774 77.548 1.080 .945 .935 .979 1863 31. 203.774 78.548 .728 .601 .649 .665 1864 32. 201.594 77.094 .945 .840 1.014 .861 1865 32. 201.594 78.094 .711 .597 .732 .657 1866 34. 197.500 74.500 .782 .659 .885 .692 1867 34. 197.500 75.500 .895 .819 1.064 .895 1868 34. 197.500 76.500 1.053 .929 1.075 .988 1869 34. 197.500 77.500 1.189 1.102 1.157 1.129 1870 34. 197.500 78.500 .884 .800 .750 .813 1871 35. 195.486 77.257 .812 .780 .886 .810 1872 35. 195.486 78.257 .675 .620 .766 .685 1873 35. 195.486 79.257 .686 .650 .855 .685 1874 35. 195.486 80.257 .491 .484 .720 .545 1875 35. 195.486 81.257 .474 .381 .714 .459 1876 35. 195.486 82.257 .480 .400 .782 .478 1877 35. 195.486 83.257 .720 .710 1.129 .818 1878 35. 195.486 84.257 1.211 1.176 1.430 1.279 1879 35. 195.486 85.257 1.219 1.137 1.086 1.178 1880 35. 195.486 86.257 .527 .467 .407 .501 1881 35. 195.486 87.257 .733 .703 .924 .722 1882 35. 195.486 88.257 1.226 1.236 1.417 1.283 1883 35. 195.486 89.257 1.007 .948 .960 1.052 1884 35. 195.486 90.257 1.023 1.062 1.037 1.062 1885 35. 195.486 91.257 1.082 1.131 1.086 1.153 1886 35. 195.486 92.257 .746 .849 .773 .865 1887 35. 195.486 93.257 1.122 1.244 1.273 1.229 1888 36. 193.111 91.667 1.479 1.638 1.529 1.658 1889 35. 193.657 90.314 .907 .953 .671 1.002 1890 35. 193.657 91.314 1.048 1.077 .960 1.022 1891 35. 193.657 92.314 1.287 1.381 1.248 1.326 1892 35. 193.657 93.314 .936 1.009 .851 1.021 1893 35. 193.657 94.314 .854 .811 .783 .820 1894 35. 193.657 95.314 1.161 1.220 1.249 1.201 1895 35. 193.657 96.314 .861 .934 .854 .955 1896 36. 191.111 94.639 .700 .657 .688 .669 1897 36. 191.111 95.639 .816 .835 .990 .854 1898 36. 191.111 96.639 .846 .859 1.014 .932 1899 36. 191.111 97.639 .691 .717 .810 .751 1900 36. 191.111 98.639 .414 .366 .563 .435 1901 36. 191.111 99.639 .546 .671 .985 .701 1902 36. 191.111 100.639 .839 1.023 1.282 1.097 1903 36. 191.111 101.639 1.071 1.229 1.293 1.286 1904 36. 191.111 102.639 .870 .901 .809 .937 1905 36. 191.111 103.639 1.006 1.150 1.126 1.127 1906 36. 191.111 104.639 1.131 1.293 1.216 1.309 1907 36. 191.111 105.639 1.423 1.636 1.470 1.632 1908 35. 192.971 106.057 1.262 1.472 1.076 1.420 1909 35. 192.971 107.057 .957 1.045 .748 1.020 1910 35. 192.971 108.057 .630 .753 .572 .666 1911 35. 192.971 109.057 .538 .642 .725 .609 1912 35. 192.971 110.057 .895 1.073 1.261 1.066 1913 35. 192.971 111.057 .898 1.037 1.093 1.087 1914 35. 192.971 112.057 .623 .763 .751 .772 1915 35. 192.971 113.057 1.127 1.439 1.477 1.385 1916 35. 192.971 114.057 1.067 1.229 1.032 1.227 1917 35. 192.971 115.057 .622 .770 .629 .749 1918 35. 192.971 116.057 1.095 1.358 1.337 1.268 1919 35. 192.971 117.057 1.192 1.413 1.256 1.405 1920 35. 192.971 118.057 .766 .904 .694 .893 1921 35. 192.971 119.057 1.227 1.447 1.360 1.359 1922 35. 192.971 120.057 1.200 1.427 1.247 1.462 1923 35. 192.971 121.057 1.114 1.392 1.143 1.387 1924 35. 192.971 122.057 1.347 1.747 1.427 1.679 1925 35. 192.971 123.057 1.262 1.643 1.177 1.577 1926 35. 192.971 124.057 1.262 1.657 1.204 1.562 1927 35. 192.971 125.057 1.176 1.496 1.036 1.407 1928 35. 192.971 126.057 1.258 1.760 1.340 1.626 1929 35. 192.971 127.057 .955 1.280 .795 1.179 1930 35. 192.971 128.057 1.027 1.475 1.180 1.342 1931 35. 192.971 129.057 .589 .783 .496 .736 1932 35. 192.971 130.057 .666 .927 .913 .826 1933 35. 192.971 131.057 .754 .963 1.011 .952 1934 35. 192.971 132.057 .215 .228 .307 .262 1935 35. 192.971 133.057 .486 .693 1.006 .638 1936 35. 192.971 134.057 .150 .180 .436 .230 1937 35. 192.971 135.057 .396 .589 1.064 .616 1938 35. 192.971 136.057 .470 .738 1.065 .819 1939 35. 192.971 137.057 .110 .122 .365 .201 1940 35. 192.971 138.057 .287 .381 .855 .432 1941 35. 192.971 139.057 .366 .541 .968 .646 1942 35. 192.971 140.057 .389 .584 .925 .665 1943 35. 192.971 141.057 .371 .577 .856 .636 1944 35. 192.971 142.057 .478 .711 1.005 .789 1945 35. 192.971 143.057 .757 1.197 1.362 1.223 1946 35. 192.971 144.057 .808 1.226 1.197 1.274 1947 35. 192.971 145.057 1.121 1.731 1.601 1.737 1948 35. 192.971 146.057 1.223 1.798 1.392 1.794 1949 35. 192.971 147.057 .808 1.298 .809 1.266 1950 35. 192.971 148.057 .591 .843 .563 .805 1951 35. 192.971 149.057 .614 .931 .888 .884 1952 35. 192.971 150.057 .415 .567 .610 .577 1953 35. 192.971 151.057 .711 1.100 1.331 1.112 1954 35. 192.971 152.057 .635 .946 .989 1.024 1955 35. 192.971 153.057 .622 .934 .976 .966 1956 35. 192.971 154.057 .467 .680 .672 .676 1957 35. 192.971 155.057 .699 1.090 1.240 1.092 1958 35. 192.971 156.057 .816 1.284 1.298 1.335 1959 35. 192.971 157.057 .299 .424 .331 .481 1960 35. 192.971 158.057 .492 .821 1.027 .806 1961 34. 192.029 157.088 .429 .629 .800 .719 1962 34. 192.029 158.088 .661 1.092 1.316 1.134 1963 34. 192.029 159.088 .522 .810 .832 .878 1964 34. 192.029 160.088 .411 .648 .726 .658 1965 34. 192.029 161.088 .608 1.024 1.195 1.043 1966 34. 192.029 162.088 .417 .587 .668 .672 1967 34. 192.029 163.088 .440 .752 .961 .783 1968 34. 192.029 164.088 .695 1.084 1.277 1.169 1969 34. 192.029 165.088 .429 .759 .756 .809 1970 34. 192.029 166.088 .494 .885 .997 .902 1971 34. 192.029 167.088 .897 1.506 1.578 1.546 1972 34. 192.029 168.088 .945 1.615 1.382 1.637 1973 34. 192.029 169.088 .592 1.029 .708 1.047 1974 34. 192.029 170.088 .745 1.292 1.147 1.258 1975 34. 192.029 171.088 .778 1.339 1.126 1.320 1976 34. 192.029 172.088 .937 1.692 1.471 1.654 1977 34. 192.029 173.088 .712 1.247 .908 1.275 1978 34. 192.029 174.088 .523 .879 .665 .868 1979 33. 190.879 173.394 .326 .506 .476 .491 1980 33. 190.879 174.394 .522 .910 1.104 .883 1981 33. 190.879 175.394 .311 .538 .646 .563 1982 33. 190.879 176.394 .475 .874 1.143 .889 1983 33. 190.879 177.394 .602 1.076 1.195 1.120 1984 33. 190.879 178.394 .625 1.125 1.096 1.121 1985 33. 190.879 179.394 .280 .458 .405 .470 1986 33. 190.879 180.394 .742 1.454 1.660 1.427 1987 33. 190.879 181.394 .468 .880 .762 .966 1988 32. 191.406 182.625 .452 .808 .841 .808 1989 32. 191.406 183.625 .288 .514 .561 .512 1990 32. 191.406 184.625 .524 .976 1.210 .969 1991 32. 191.406 185.625 .506 .977 1.088 1.042 1992 32. 191.406 186.625 .346 .640 .688 .675 1993 32. 191.406 187.625 .288 .628 .756 .606 1994 32. 191.406 188.625 .478 .901 1.127 .933 1995 31. 190.710 188.839 .603 1.210 1.350 1.280 1996 29. 190.690 189.690 .678 1.354 1.305 1.414 1997 29. 190.690 190.690 .534 1.115 .962 1.182 YEAR CORRS RBAR SDEV SERR EPS CORES 1592. 1. .9163 .0000 .0000 .9803 4.56 1620. 10. .4189 .2404 .0760 .8181 6.24 1645. 15. .4968 .1619 .0418 .8861 7.88 1670. 36. .3194 .2149 .0358 .8146 9.36 1695. 28. .4411 .1652 .0312 .8869 9.94 1720. 36. .5421 .2004 .0334 .9323 11.64 1745. 66. .5307 .2202 .0271 .9428 14.56 1770. 78. .5222 .2058 .0233 .9481 16.70 1795. 66. .5259 .1845 .0227 .9516 17.72 1820. 78. .5041 .1682 .0190 .9555 21.12 1845. 190. .5182 .1741 .0126 .9674 27.60 1870. 351. .4278 .2295 .0123 .9610 33.00 1895. 496. .3970 .2407 .0108 .9587 35.24 1920. 561. .5889 .1774 .0075 .9806 35.24 1945. 561. .6809 .1254 .0053 .9867 34.82 1970. 496. .6074 .1317 .0059 .9813 33.86 YEAR CORRS RBAR SDEV SERR EPS CORES 1592. 1. .9070 .1799 .0000 .9780 4.56 1620. 10. .4465 .1438 .0455 .8342 6.24 1645. 15. .5087 .1416 .0366 .8908 7.88 1670. 36. .4640 .1170 .0195 .8902 9.36 1695. 28. .5035 .1065 .0201 .9098 9.94 1720. 36. .5107 .1488 .0248 .9239 11.64 1745. 66. .4940 .1270 .0156 .9343 14.56 1770. 78. .4908 .0927 .0105 .9415 16.70 1795. 66. .4395 .1506 .0185 .9329 17.72 1820. 78. .4900 .1422 .0161 .9530 21.12 1845. 190. .4965 .1255 .0091 .9646 27.60 1870. 351. .4896 .1339 .0071 .9694 33.00 1895. 496. .4806 .1401 .0063 .9702 35.24 1920. 561. .5254 .1209 .0051 .9750 35.24 1945. 561. .5642 .1044 .0044 .9783 34.82 1970. 496. .5985 .1168 .0052 .9806 33.86 YEAR CORRS RBAR SDEV SERR EPS CORES 1592. 1. .9529 .1317 .0000 .9893 4.56 1620. 10. .4630 .1898 .0600 .8432 6.24 1645. 15. .4988 .1621 .0419 .8869 7.88 1670. 36. .3300 .2149 .0358 .8217 9.36 1695. 28. .4678 .1537 .0291 .8973 9.94 1720. 36. .5313 .1393 .0232 .9296 11.64 1745. 66. .5603 .1719 .0212 .9489 14.56 1770. 78. .5911 .1215 .0138 .9602 16.70 1795. 66. .4069 .2763 .0340 .9240 17.72 1820. 78. .4992 .1557 .0176 .9547 21.12 1845. 190. .4663 .1786 .0130 .9602 27.60 1870. 351. .4536 .1775 .0095 .9648 33.00 1895. 496. .4460 .2220 .0100 .9660 35.24 1920. 561. .6115 .1474 .0062 .9823 35.24 1945. 561. .6264 .1403 .0059 .9832 34.82 1970. 496. .5318 .1799 .0081 .9747 33.86