[] Dendrochronology Program Library Run KAI2 Program COF 10:39 Tue 30 Dec 2003 Page 1 [] [] P R O G R A M C O F E C H A Version 6.06P 25202 ------------------------------------------------------------------------------------------------------------------------------------ QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS File of DATED series: kai2.tu_ 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 C 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 1865 to 2001 137 years Continuous time span is 1865 to 2001 137 years Portion with two or more series is 1881 to 2001 121 years **************************************** *C* Number of dated series 22 *C* *O* Master series 1865 2001 137 yrs *O* *F* Total rings in all series 2277 *F* *E* Total dated rings checked 2261 *E* *C* Series intercorrelation .571 *C* *H* Average mean sensitivity .221 *H* *A* Segments, possible problems 1 *A* *** Mean length of series 103.5 *** **************************************** ABSENT RINGS listed by SERIES: (See Master Dating Series for absent rings listed by year) No ring measurements of zero value PART 2: TIME PLOT OF TREE-RING SERIES: 10:39 Tue 30 Dec 2003 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 : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . . . . . . <==========> . OLC2802A 1 1893 2001 109 . . . . . . . . . . . . . . . . . <==========> . OLC2802B 2 1891 2001 111 . . . . . . . . . . . . . . . . . <=========> . OLC2803A 3 1904 2001 98 . . . . . . . . . . . . . . . . . <==========> . OLC2803B 4 1897 2001 105 . . . . . . . . . . . . . . . . . <=========> . OLC2804A 5 1903 2001 99 . . . . . . . . . . . . . . . . . <=========> . OLC2804B 6 1909 2001 93 . . . . . . . . . . . . . . . . . <=========> . OLC2805A 7 1906 2001 96 . . . . . . . . . . . . . . . . . <=========> . OLC2805B 8 1900 2001 102 . . . . . . . . . . . . . . . . . <==========> . OLC2806A 9 1899 2001 103 . . . . . . . . . . . . . . . . . <=========> . OLC2806B 10 1902 2001 100 . . . . . . . . . . . . . . . . . <=========> . OLC2810A 11 1900 2001 102 . . . . . . . . . . . . . . . . . <===========> . OLC2811A 12 1885 2001 117 . . . . . . . . . . . . . . . . . <===========> . OLC2811B 13 1881 2001 121 . . . . . . . . . . . . . . . . . <=========> . OLC2812A 14 1909 2001 93 . . . . . . . . . . . . . . . . .<=============> . OLC2813A 15 1865 2001 137 . . . . . . . . . . . . . . . . . <=========> . OLC2817A 16 1909 2001 93 . . . . . . . . . . . . . . . . . .<========> . OLC2817B 17 1913 2001 89 . . . . . . . . . . . . . . . . . <==========> . OLC2818A 18 1891 2001 111 . . . . . . . . . . . . . . . . . <==========> . OLC2818B 19 1891 2001 111 . . . . . . . . . . . . . . . . . <=========> . OLC2819A 20 1902 2001 100 . . . . . . . . . . . . . . . . . .<========> . OLC2819B 21 1915 2001 87 . . . . . . . . . . . . . . . . . <=========> . OLC2820A 22 1902 2001 100 : : : : : : : : : : : : : : : : : : : : : 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: 10:39 Tue 30 Dec 2003 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 ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1900 .455 11 1950 .044 22 2000 1.495 22 1901 1.020 11 1951 -.314 22 2001 1.318 22 1902 .280 14 1952 .472 22 1903 1.131 15 1953 1.327 22 1904 -.013 16 1954 1.282 22 1905 .150 16 1955 .667 22 1906 -.466 17 1956 -1.823 22 1907 -.167 17 1957 .765 22 1908 -.011 17 1958 .648 22 1909 -.672 20 1959 -.028 22 1910 -.978 20 1960 -1.584 22 1911 -1.210 20 1961 -1.258 22 1912 -.974 20 1962 -1.205 22 1913 -.648 21 1963 .241 22 1914 -.056 21 1964 -.035 22 1865 1.285 1 1915 .844 22 1965 -.299 22 1866 1.182 1 1916 .285 22 1966 .093 22 1867 .310 1 1917 -1.037 22 1967 1.569 22 1868 -3.693 1 1918 -.639 22 1968 .200 22 1869 -3.564 1 1919 -.412 22 1969 -.972 22 1870 .834 1 1920 .526 22 1970 -.185 22 1871 .087 1 1921 1.355 22 1971 -.587 22 1872 1.372 1 1922 1.390 22 1972 .135 22 1873 1.145 1 1923 1.049 22 1973 .477 22 1874 1.895 1 1924 1.644 22 1974 .883 22 1875 .853 1 1925 -.466 22 1975 .582 22 1876 1.373 1 1926 -.943 22 1976 .890 22 1877 -.006 1 1927 -.249 22 1977 .543 22 1878 -.116 1 1928 -1.179 22 1978 -.007 22 1879 -.007 1 1929 -.722 22 1979 1.054 22 1880 -1.071 1 1930 -1.271 22 1980 -.154 22 1881 -1.156 2 1931 -.652 22 1981 -.674 22 1882 -.010 2 1932 .213 22 1982 -2.568 22 1883 -.721 2 1933 -.045 22 1983 -1.133 22 1884 -.020 2 1934 1.280 22 1984 -.487 22 1885 .732 3 1935 .526 22 1985 -1.256 22 1886 1.685 3 1936 1.153 22 1986 .399 22 1887 .696 3 1937 .559 22 1987 .173 22 1888 -.113 3 1938 1.574 22 1988 1.315 22 1889 .036 3 1939 -.371 22 1989 1.167 22 1890 .189 3 1940 -1.869 22 1990 .946 22 1891 -.098 6 1941 -.785 22 1991 .343 22 1892 .057 6 1942 -1.876 22 1992 .080 22 1893 -1.088 7 1943 .347 22 1993 -.651 22 1894 -.184 7 1944 -.893 22 1994 .342 22 1895 -1.269 7 1945 .576 22 1995 -.361 22 1896 -.357 7 1946 .662 22 1996 -1.926 22 1897 .436 8 1947 .599 22 1997 -1.600 22 1898 .371 8 1948 .036 22 1998 -.861 22 1899 .890 9 1949 -.509 22 1999 .022 22 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: 10:39 Tue 30 Dec 2003 Page 4 ------------------------------------------------------------------------------------------------------------------------------------ Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1900-------B 1950-----@ 2000----------F 1901---------D 1951---a 2001---------E 1902------A 1952-------B 1903---------E 1953----------E 1904----@ 1954---------E 1905-----A 1955-------C 1906---b 1956g 1907----a 1957--------C 1908----@ 1958-------C 1909--c 1959----@ 1910-d 1960f 1911-e 1961-e 1912-d 1962-e 1913--c 1963------A 1914----@ 1964----@ 1865---------E 1915--------C 1965---a 1866---------E 1916------A 1966-----@ 1867------A 1917-d 1967----------F 1868o 1918--c 1968------A 1869n 1919---b 1969-d 1870--------C 1920-------B 1970----a 1871-----@ 1921----------E 1971--b 1872----------E 1922----------F 1972-----A 1873---------E 1923---------D 1973-------B 1874----------H 1924----------G 1974--------D 1875--------C 1925---b 1975-------B 1876----------E 1926-d 1976--------D 1877----@ 1927---a 1977-------B 1878----@ 1928-e 1978----@ 1879----@ 1929--c 1979---------D 1880-d 1930-e 1980----a 1881-e 1931--c 1981--c 1882----@ 1932------A 1982j 1883--c 1933----@ 1983-e 1884----@ 1934---------E 1984---b 1885--------C 1935-------B 1985-e 1886----------G 1936---------E 1986------B 1887--------C 1937-------B 1987------A 1888----@ 1938----------F 1988---------E 1889-----@ 1939---a 1989---------E 1890------A 1940g 1990--------D 1891----@ 1941--c 1991------A 1892-----@ 1942h 1992-----@ 1893-d 1943------A 1993--c 1894----a 1944-d 1994------A 1895-e 1945-------B 1995---a 1896---a 1946-------C 1996h 1897-------B 1947-------B 1997f 1898------A 1948-----@ 1998--c 1899--------D 1949---b 1999-----@ PART 5: CORRELATION OF SERIES BY SEGMENTS: 10:39 Tue 30 Dec 2003 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 1875 1900 1925 1950 1975 1924 1949 1974 1999 2024 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 OLC2802A 1893 2001 .54 .55 .65 .69 .70 2 OLC2802B 1891 2001 .56 .57 .67 .64 .66 3 OLC2803A 1904 2001 .64 .74 .56 .59 4 OLC2803B 1897 2001 .45 .44 .60 .63 .64 5 OLC2804A 1903 2001 .47 .63 .70 .71 6 OLC2804B 1909 2001 .53 .53 .68 .68 7 OLC2805A 1906 2001 .68 .66 .54 .55 8 OLC2805B 1900 2001 .61 .69 .54 .57 9 OLC2806A 1899 2001 .69 .70 .67 .57 .60 10 OLC2806B 1902 2001 .63 .59 .61 .63 11 OLC2810A 1900 2001 .67 .54 .41 .43 12 OLC2811A 1885 2001 .52 .62 .49 .47 .49 13 OLC2811B 1881 2001 .42 .74 .64 .56 .58 14 OLC2812A 1909 2001 .54 .60 .53 .56 15 OLC2813A 1865 2001 .18B .46 .68 .69 .71 16 OLC2817A 1909 2001 .56 .60 .74 .75 17 OLC2817B 1913 2001 .55 .46 .59 .60 18 OLC2818A 1891 2001 .52 .60 .61 .69 .71 19 OLC2818B 1891 2001 .49 .57 .69 .58 .59 20 OLC2819A 1902 2001 .60 .58 .46 .48 21 OLC2819B 1915 2001 .64 .67 .58 .61 22 OLC2820A 1902 2001 .64 .72 .60 .61 Av segment correlation .49 .59 .62 .59 .61 PART 6: POTENTIAL PROBLEMS: 10:39 Tue 30 Dec 2003 Page 5 ------------------------------------------------------------------------------------------------------------------------------------ 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 =================================================================================================================================== OLC2802A 1893 to 2001 109 years Series 1 [B] Entire series, effect on correlation ( .606) is: Lower 1917< -.024 1960> -.018 1908< -.013 1909> -.012 1968> -.011 1942> -.010 Higher 1982 .024 1956 .022 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1917 -5.3 SD =================================================================================================================================== OLC2802B 1891 to 2001 111 years Series 2 [B] Entire series, effect on correlation ( .579) is: Lower 1906< -.011 1911> -.011 1990< -.010 1902< -.010 1949> -.008 1968> -.008 Higher 1956 .033 1939 .013 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1897 +3.1 SD =================================================================================================================================== OLC2803A 1904 to 2001 98 years Series 3 [B] Entire series, effect on correlation ( .595) is: Lower 1910> -.026 1982> -.020 1906< -.009 1996> -.009 1904> -.007 1988< -.007 Higher 1956 .030 1940 .023 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1910 +3.6 SD =================================================================================================================================== OLC2803B 1897 to 2001 105 years Series 4 [B] Entire series, effect on correlation ( .556) is: Lower 1912> -.025 1902< -.021 1925> -.020 1985> -.017 1962> -.014 1971> -.012 Higher 1956 .060 1982 .035 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1912 +5.0 SD; 1962 +3.1 SD =================================================================================================================================== OLC2804A 1903 to 2001 99 years Series 5 [B] Entire series, effect on correlation ( .570) is: Lower 1917< -.025 1911> -.024 1975< -.014 1944> -.010 1910> -.010 1934< -.009 Higher 1956 .035 1940 .024 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1911 +4.1 SD =================================================================================================================================== OLC2804B 1909 to 2001 93 years Series 6 [B] Entire series, effect on correlation ( .573) is: Lower 1946< -.033 1939> -.024 1960> -.015 1910> -.015 1925> -.014 1932< -.010 Higher 1996 .027 1956 .025 =================================================================================================================================== OLC2805A 1906 to 2001 96 years Series 7 [B] Entire series, effect on correlation ( .601) is: Lower 1960> -.016 1912> -.012 1985< -.012 1982> -.010 1963< -.009 1909< -.009 Higher 1940 .013 1942 .013 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1912 +3.1 SD; 1985 -4.8 SD =================================================================================================================================== OLC2805B 1900 to 2001 102 years Series 8 [B] Entire series, effect on correlation ( .576) is: Lower 1900< -.031 1982> -.029 1911> -.014 1963< -.011 1978< -.008 1928> -.007 Higher 1940 .026 1925 .019 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1982 +3.4 SD =================================================================================================================================== OLC2806A 1899 to 2001 103 years Series 9 [B] Entire series, effect on correlation ( .631) is: Lower 1954< -.032 1910< -.025 1904< -.014 1953< -.012 1950< -.009 1964< -.006 Higher 1956 .016 1996 .015 =================================================================================================================================== OLC2806B 1902 to 2001 100 years Series 10 [B] Entire series, effect on correlation ( .630) is: Lower 1982> -.037 1956> -.027 1942> -.027 1940> -.014 1921< -.012 1983< -.009 Higher 1996 .020 1960 .016 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1942 +3.5 SD; 1982 +3.2 SD =================================================================================================================================== OLC2810A 1900 to 2001 102 years Series 11 [B] Entire series, effect on correlation ( .508) is: Lower 1977< -.029 1989< -.016 1994< -.014 1971> -.011 1939> -.010 1976< -.010 Higher 1940 .023 1982 .023 =================================================================================================================================== OLC2811A 1885 to 2001 117 years Series 12 [B] Entire series, effect on correlation ( .519) is: Lower 1971< -.034 1956> -.031 1989< -.023 1940> -.014 1888> -.010 1906> -.007 Higher 1982 .043 1942 .014 =================================================================================================================================== OLC2811B 1881 to 2001 121 years Series 13 [B] Entire series, effect on correlation ( .528) is: Lower 1956> -.028 1883< -.025 1882> -.017 1981> -.010 1897< -.007 1984> -.006 Higher 1982 .025 1967 .012 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1882 +3.3 SD; 1982 -4.8 SD =================================================================================================================================== OLC2812A 1909 to 2001 93 years Series 14 [B] Entire series, effect on correlation ( .545) is: Lower 1917> -.032 1955< -.022 1974< -.013 1964< -.013 1910> -.011 1909> -.010 Higher 1940 .027 1996 .025 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1917 +3.1 SD =================================================================================================================================== OLC2813A 1865 to 2001 137 years Series 15 [*] Early part of series cannot be checked from 1865 to 1880 -- not matched by another series [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1881 1930 7 .18 .00 .13 .13 -.18 -.11 -.28 -.19 -.11 .03 .18| .04 -.06 .00 .01 .27 .18 .32*-.12 .01 -.13 [B] Entire series, effect on correlation ( .492) is: Lower 1883> -.036 1917> -.028 1882< -.018 1888< -.012 1895> -.010 1959< -.010 Higher 1956 .052 1960 .019 1881 to 1930 segment: Lower 1917> -.066 1883> -.065 1882< -.039 1888< -.022 1895> -.020 1889< -.015 Higher 1925 .094 1886 .043 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1917 +3.8 SD; 1960 -5.7 SD =================================================================================================================================== OLC2817A 1909 to 2001 93 years Series 16 [B] Entire series, effect on correlation ( .593) is: Lower 1925> -.023 1937< -.022 1930> -.016 1917> -.016 1909> -.013 1960> -.012 Higher 1956 .052 1982 .017 =================================================================================================================================== OLC2817B 1913 to 2001 89 years Series 17 [B] Entire series, effect on correlation ( .562) is: Lower 1974< -.032 1969> -.021 1958< -.020 1971< -.018 1944> -.016 1913< -.016 Higher 1956 .053 1982 .038 =================================================================================================================================== OLC2818A 1891 to 2001 111 years Series 18 [B] Entire series, effect on correlation ( .602) is: Lower 1925< -.016 1897< -.012 1926> -.010 1997> -.009 1917> -.009 1899< -.009 Higher 1982 .026 1996 .017 =================================================================================================================================== OLC2818B 1891 to 2001 111 years Series 19 [B] Entire series, effect on correlation ( .545) is: Lower 1917> -.023 1894< -.016 1912< -.016 1997> -.014 1913> -.014 1979< -.013 Higher 1982 .041 1925 .017 [C] Year-to-year changes diverging by over 4.0 std deviations: 1912 1913 4.5 SD [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1912 -5.6 SD =================================================================================================================================== OLC2819A 1902 to 2001 100 years Series 20 [B] Entire series, effect on correlation ( .534) is: Lower 1974< -.038 1982> -.026 1978< -.017 1925> -.013 1983> -.011 1904> -.011 Higher 1956 .045 1940 .018 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1974 -4.8 SD; 1983 +3.6 SD =================================================================================================================================== OLC2819B 1915 to 2001 87 years Series 21 [B] Entire series, effect on correlation ( .619) is: Lower 1981< -.032 1915< -.023 1958< -.016 1983> -.012 1953< -.009 1920< -.008 Higher 1956 .027 1942 .012 =================================================================================================================================== OLC2820A 1902 to 2001 100 years Series 22 [B] Entire series, effect on correlation ( .624) is: Lower 1973< -.026 1985> -.020 1917> -.014 1912< -.011 1925> -.010 1981> -.010 Higher 1956 .042 1942 .014 =================================================================================================================================== PART 7: DESCRIPTIVE STATISTICS: 10:39 Tue 30 Dec 2003 Page 6 ------------------------------------------------------------------------------------------------------------------------------------ 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 OLC2802A 1893 2001 109 5 0 .606 1.07 2.51 .380 .684 .226 2.51 .375 .010 1 2 OLC2802B 1891 2001 111 5 0 .579 1.34 4.02 .614 .812 .216 2.78 .521 -.052 1 3 OLC2803A 1904 2001 98 4 0 .595 1.35 2.81 .529 .783 .191 2.73 .493 -.031 4 4 OLC2803B 1897 2001 105 5 0 .556 1.57 2.92 .481 .663 .203 2.69 .382 .032 1 5 OLC2804A 1903 2001 99 4 0 .570 1.35 2.34 .488 .793 .187 2.50 .372 -.023 1 6 OLC2804B 1909 2001 93 4 0 .573 1.28 2.21 .485 .813 .185 2.56 .526 .025 1 7 OLC2805A 1906 2001 96 4 0 .601 1.21 2.20 .352 .730 .171 2.41 .408 .016 1 8 OLC2805B 1900 2001 102 4 0 .576 1.33 2.47 .420 .800 .167 2.61 .475 .083 1 9 OLC2806A 1899 2001 103 5 0 .631 1.06 3.19 .558 .906 .187 2.65 .467 .009 3 10 OLC2806B 1902 2001 100 4 0 .630 .88 3.14 .473 .842 .214 2.61 .498 -.041 1 11 OLC2810A 1900 2001 102 4 0 .508 1.59 2.99 .708 .837 .214 2.63 .355 -.030 1 12 OLC2811A 1885 2001 117 5 0 .519 .91 3.07 .488 .756 .261 2.65 .415 -.067 3 13 OLC2811B 1881 2001 121 5 0 .528 .98 2.40 .420 .798 .225 2.42 .299 -.029 2 14 OLC2812A 1909 2001 93 4 0 .545 1.61 3.24 .555 .697 .209 2.86 .679 .071 2 15 OLC2813A 1865 2001 137 5 1 .492 .78 3.68 .721 .914 .312 2.55 .415 .077 1 16 OLC2817A 1909 2001 93 4 0 .593 1.72 3.45 .576 .742 .216 2.58 .486 -.034 1 17 OLC2817B 1913 2001 89 4 0 .562 1.73 2.87 .469 .578 .192 2.70 .560 -.083 1 18 OLC2818A 1891 2001 111 5 0 .602 .77 2.12 .398 .778 .302 2.61 .347 -.051 2 19 OLC2818B 1891 2001 111 5 0 .545 1.07 2.31 .515 .833 .249 2.57 .411 .043 1 20 OLC2819A 1902 2001 100 4 0 .534 1.65 3.52 .673 .749 .236 2.84 .529 -.031 1 21 OLC2819B 1915 2001 87 4 0 .619 1.46 2.88 .470 .699 .197 2.64 .490 .041 1 22 OLC2820A 1902 2001 100 4 0 .624 1.25 3.70 .613 .800 .239 2.85 .557 -.038 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 2277 97 1 .571 1.25 4.02 .520 .777 .221 2.86 .452 -.004 - = [ COFECHA KAI2 COF ] = -