[] Dendrochronology Program Library Run PITK1 Program COF 09:23 Mon 05 Jan 2004 Page 1 [] [] P R O G R A M C O F E C H A Version 6.06P 25208 ------------------------------------------------------------------------------------------------------------------------------------ QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS File of DATED series: pitk.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 1774 to 1993 220 years Continuous time span is 1774 to 1993 220 years Portion with two or more series is 1774 to 1993 220 years **************************************** *C* Number of dated series 31 *C* *O* Master series 1774 1993 220 yrs *O* *F* Total rings in all series 4382 *F* *E* Total dated rings checked 4382 *E* *C* Series intercorrelation .623 *C* *H* Average mean sensitivity .289 *H* *A* Segments, possible problems 6 *A* *** Mean length of series 141.4 *** **************************************** 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: 09:23 Mon 05 Jan 2004 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 : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . . . . . . <===========>. . OMA0001A 1 1878 1993 116 . . . . . . . . . . . . . . . . <=============>. . OMA0001B 2 1850 1993 144 . . . . . . . . . . . . . . . <==================>. . OMA0002A 3 1808 1993 186 . . . . . . . . . . . . . . . <==================>. . OMA0002B 4 1800 1993 194 . . . . . . . . . . . . . . . . . <==========>. . OMA0003A 5 1881 1993 113 . . . . . . . . . . . . . . . . . <===========>. . OMA0003B 6 1871 1993 123 . . . . . . . . . . . . . . . <=====================>. . OMA0005A 7 1774 1993 220 . . . . . . . . . . . . . . . <=====================>. . OMA0005B 8 1774 1993 220 . . . . . . . . . . . . . . . . <=============>. . OMA0006A 9 1851 1993 143 . . . . . . . . . . . . . . . . <==============>. . OMA0006B 10 1845 1993 149 . . . . . . . . . . . . . . . . <==============>. . OMA0007A 11 1844 1993 150 . . . . . . . . . . . . . . . . <==============>. . OMA0007B 12 1849 1993 145 . . . . . . . . . . . . . . . . . <===========>. . OMA0008A 13 1874 1993 120 . . . . . . . . . . . . . . . . . <===========>. . OMA0008B 14 1876 1993 118 . . . . . . . . . . . . . . . . . <==========>. . OMA0009A 15 1882 1993 112 . . . . . . . . . . . . . . . . . <==========>. . OMA0009B 16 1880 1993 114 . . . . . . . . . . . . . . . . <=============>. . OMA0010A 17 1856 1993 138 . . . . . . . . . . . . . . . . . <========>. . OMA0011A 18 1905 1993 89 . . . . . . . . . . . . . . . . . <==========>. . OMA0012A 19 1889 1993 105 . . . . . . . . . . . . . . . . <=============>. . OMA0012B 20 1856 1993 138 . . . . . . . . . . . . . . . . . <========>. . OMA0013A 21 1905 1993 89 . . . . . . . . . . . . . . . . <=============>. . OMA0014A 22 1853 1993 141 . . . . . . . . . . . . . . . . <==============>. . OMA0014B 23 1848 1993 146 . . . . . . . . . . . . . . . . <=============>. . OMA0016A 24 1855 1993 139 . . . . . . . . . . . . . . . . .<============>. . OMA0016B 25 1861 1993 133 . . . . . . . . . . . . . . . . . <=========>. . OMA0017A 26 1891 1993 103 . . . . . . . . . . . . . . . . . <========>. . OMA0017B 27 1905 1993 89 . . . . . . . . . . . . . . . <===================>. . OMA0019A 28 1794 1993 200 . . . . . . . . . . . . . . . <===================>. . OMA0019B 29 1794 1993 200 . . . . . . . . . . . . . . . . <==============>. . OMA0020A 30 1843 1993 151 . . . . . . . . . . . . . . . . <==============>. . OMA0020B 31 1840 1993 154 : : : : : : : : : : : : : : : : : : : : : 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: 09:23 Mon 05 Jan 2004 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 ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1800 .505 5 1850 .635 13 1900 -2.020 28 1950 .852 31 1801 -.035 5 1851 1.846 14 1901 -1.143 28 1951 -.201 31 1802 -.524 5 1852 -.421 14 1902 -.426 28 1952 .719 31 1803 -.513 5 1853 -1.853 15 1903 .958 28 1953 1.349 31 1804 .688 5 1854 .410 15 1904 1.287 28 1954 .827 31 1805 .120 5 1855 -.639 16 1905 .008 31 1955 -.725 31 1806 -.342 5 1856 .280 18 1906 -.325 31 1956 -1.684 31 1807 -.031 5 1857 .143 18 1907 .097 31 1957 1.137 31 1808 .732 6 1858 -.590 18 1908 -.111 31 1958 1.353 31 1809 -.115 6 1859 -2.411 18 1909 -.084 31 1959 -1.612 31 1810 .416 6 1860 .005 18 1910 -.728 31 1960 .623 31 1811 -.225 6 1861 -.636 19 1911 .139 31 1961 .277 31 1812 .322 6 1862 1.002 19 1912 .973 31 1962 .997 31 1813 .553 6 1863 .349 19 1913 .589 31 1963 -.418 31 1814 .308 6 1864 .264 19 1914 .412 31 1964 -.624 31 1815 -.642 6 1865 .795 19 1915 1.255 31 1965 .179 31 1816 -.892 6 1866 1.048 19 1916 .461 31 1966 .267 31 1817 -.589 6 1867 .058 19 1917 -1.178 31 1967 1.103 31 1818 -1.815 6 1868 .172 19 1918 -1.364 31 1968 .776 31 1819 .876 6 1869 .308 19 1919 -1.752 31 1969 -1.615 31 1820 .001 6 1870 1.246 19 1920 -.307 31 1970 -.696 31 1821 .853 6 1871 .529 20 1921 .873 31 1971 .014 31 1822 -.276 6 1872 .123 20 1922 1.266 31 1972 .196 31 1823 1.680 6 1873 1.314 20 1923 1.040 31 1973 -1.052 31 1774 .679 2 1824 .931 6 1874 .231 21 1924 1.973 31 1974 1.025 31 1775 -.852 2 1825 .015 6 1875 -2.933 21 1925 .892 31 1975 -.147 31 1776 -2.031 2 1826 -.438 6 1876 -.590 22 1926 -.340 31 1976 -.102 31 1777 -.663 2 1827 -.437 6 1877 -.184 22 1927 .503 31 1977 -1.181 31 1778 1.028 2 1828 -1.538 6 1878 -.116 23 1928 -.266 31 1978 -1.621 31 1779 1.038 2 1829 -1.047 6 1879 -.605 23 1929 -.346 31 1979 -.782 31 1780 .962 2 1830 .295 6 1880 -.450 24 1930 -.683 31 1980 -.763 31 1781 2.718 2 1831 -1.621 6 1881 -.299 25 1931 -1.074 31 1981 .827 31 1782 -.132 2 1832 -.097 6 1882 .327 26 1932 .329 31 1982 1.607 31 1783 .848 2 1833 .562 6 1883 -.200 26 1933 -.684 31 1983 .643 31 1784 -1.269 2 1834 1.471 6 1884 .617 26 1934 .778 31 1984 -.894 31 1785 .176 2 1835 -1.185 6 1885 .405 26 1935 .349 31 1985 .681 31 1786 -.363 2 1836 -.567 6 1886 1.107 26 1936 .428 31 1986 .077 31 1787 .532 2 1837 1.022 6 1887 .198 26 1937 .701 31 1987 1.839 31 1788 .742 2 1838 .155 6 1888 .648 26 1938 1.205 31 1988 1.400 31 1789 -3.093 2 1839 -.454 6 1889 -1.096 27 1939 -.388 31 1989 .024 31 1790 -3.630 2 1840 1.192 7 1890 .785 27 1940 -2.596 31 1990 -1.166 31 1791 .470 2 1841 1.189 7 1891 1.163 28 1941 -1.201 31 1991 .598 31 1792 -1.242 2 1842 .366 7 1892 1.788 28 1942 -2.613 31 1992 -1.949 31 1793 .808 2 1843 .459 8 1893 .372 28 1943 -.015 31 1993 .529 31 1794 1.276 4 1844 1.268 9 1894 .536 28 1944 .301 31 1795 .726 4 1845 -1.983 10 1895 -.352 28 1945 -.167 31 1796 .307 4 1846 -.457 10 1896 -1.072 28 1946 .811 31 1797 -.236 4 1847 -.829 10 1897 -1.080 28 1947 -.426 31 1798 -1.230 4 1848 -.125 11 1898 -.921 28 1948 -.202 31 1799 1.009 4 1849 .279 12 1899 -.647 28 1949 .453 31 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: 09:23 Mon 05 Jan 2004 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 1800-------B 1850-------C 1900h 1950--------C 1801----@ 1851----------G 1901-e 1951----a 1802--b 1852---b 1902---b 1952--------C 1803--b 1853g 1903---------D 1953----------E 1804--------C 1854------B 1904----------E 1954--------C 1805-----@ 1855--c 1905----@ 1955--c 1806---a 1856------A 1906---a 1956g 1807----@ 1857-----A 1907-----@ 1957---------E 1808--------C 1858--b 1908----@ 1958----------E 1809----@ 1859j 1909----@ 1959f 1810------B 1860----@ 1910--c 1960-------B 1811----a 1861--c 1911-----A 1961------A 1812------A 1862---------D 1912---------D 1962---------D 1813-------B 1863------A 1913-------B 1963---b 1814------A 1864------A 1914------B 1964--b 1815--c 1865--------C 1915----------E 1965-----A 1816-d 1866---------D 1916-------B 1966------A 1817--b 1867-----@ 1917-e 1967---------D 1818g 1868-----A 1918-e 1968--------C 1819--------D 1869------A 1919g 1969f 1820----@ 1870----------E 1920---a 1970--c 1821--------C 1871-------B 1921--------C 1971-----@ 1822---a 1872-----@ 1922----------E 1972-----A 1823----------G 1873----------E 1923---------D 1973-d 1774--------C 1824---------D 1874-----A 1924----------H 1974---------D 1775--c 1825-----@ 1875l 1925--------D 1975----a 1776h 1826---b 1876--b 1926---a 1976----@ 1777--c 1827---b 1877----a 1927-------B 1977-e 1778---------D 1828f 1878----@ 1928---a 1978f 1779---------D 1829-d 1879--b 1929---a 1979--c 1780---------D 1830------A 1880---b 1930--c 1980--c 1781----------K 1831f 1881---a 1931-d 1981--------C 1782----a 1832----@ 1882------A 1932------A 1982----------F 1783--------C 1833-------B 1883----a 1933--c 1983-------C 1784-e 1834----------F 1884-------B 1934--------C 1984-d 1785-----A 1835-e 1885------B 1935------A 1985--------C 1786---a 1836--b 1886---------D 1936------B 1986-----@ 1787-------B 1837---------D 1887-----A 1937--------C 1987----------G 1788--------C 1838-----A 1888-------C 1938----------E 1988----------F 1789l 1839---b 1889-d 1939---b 1989-----@ 1790o 1840----------E 1890--------C 1940j 1990-e 1791-------B 1841----------E 1891---------E 1941-e 1991-------B 1792-e 1842------A 1892----------G 1942j 1992h 1793--------C 1843-------B 1893------A 1943----@ 1993-------B 1794----------E 1844----------E 1894-------B 1944------A 1795--------C 1845h 1895---a 1945----a 1796------A 1846---b 1896-d 1946--------C 1797----a 1847--c 1897-d 1947---b 1798-e 1848----@ 1898-d 1948----a 1799---------D 1849------A 1899--c 1949-------B PART 5: CORRELATION OF SERIES BY SEGMENTS: 09:23 Mon 05 Jan 2004 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 1750 1775 1800 1825 1850 1875 1900 1925 1950 1799 1824 1849 1874 1899 1924 1949 1974 1999 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 OMA0001A 1878 1993 .51 .71 .67 .64 2 OMA0001B 1850 1993 .72 .72 .55 .39 .52 3 OMA0002A 1808 1993 .53 .55 .71 .73 .68 .79 .81 4 OMA0002B 1800 1993 .36 .66 .58 .54 .61 .74 .76 5 OMA0003A 1881 1993 .61 .55 .45 .48 6 OMA0003B 1871 1993 .45 .49 .56 .58 .58 7 OMA0005A 1774 1993 .52 .52 .45 .57 .50 .49 .50 .59 .52 8 OMA0005B 1774 1993 .61 .60 .52 .68 .57 .60 .62 .62 .55 9 OMA0006A 1851 1993 .66 .61 .48 .55 .60 10 OMA0006B 1845 1993 .71 .80 .69 .38 .53 .53 11 OMA0007A 1844 1993 .82 .84 .81 .69 .76 .81 12 OMA0007B 1849 1993 .84 .84 .87 .80 .71 .73 13 OMA0008A 1874 1993 .76 .81 .69 .63 .54 14 OMA0008B 1876 1993 .71 .71 .69 .61 15 OMA0009A 1882 1993 .51 .61 .73 .76 16 OMA0009B 1880 1993 .53 .57 .70 .78 17 OMA0010A 1856 1993 -.15B .20B .63 .68 .72 18 OMA0011A 1905 1993 .45 .61 .76 19 OMA0012A 1889 1993 .32B .61 .70 .71 20 OMA0012B 1856 1993 .27B .43B .70 .67 .63 21 OMA0013A 1905 1993 .58 .72 .78 22 OMA0014A 1853 1993 .44 .49 .65 .67 .66 23 OMA0014B 1848 1993 .48 .50 .50 .73 .66 .60 24 OMA0016A 1855 1993 .66 .66 .63 .72 .71 25 OMA0016B 1861 1993 .79 .72 .57 .69 .73 26 OMA0017A 1891 1993 .63 .55 .63 .73 27 OMA0017B 1905 1993 .56 .73 .82 28 OMA0019A 1794 1993 .36 .51 .76 .62 .54 .53 .66 .80 29 OMA0019B 1794 1993 .26B .41 .70 .71 .69 .64 .76 .83 30 OMA0020A 1843 1993 .60 .59 .60 .60 .66 .71 31 OMA0020B 1840 1993 .59 .63 .63 .58 .66 .77 Av segment correlation .57 .43 .47 .66 .59 .59 .60 .66 .68 PART 6: POTENTIAL PROBLEMS: 09:23 Mon 05 Jan 2004 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 =================================================================================================================================== OMA0001A 1878 to 1993 116 years Series 1 [B] Entire series, effect on correlation ( .616) is: Lower 1878< -.045 1947> -.016 1879> -.015 1962< -.008 1970> -.008 1990> -.007 Higher 1940 .027 1992 .022 =================================================================================================================================== OMA0001B 1850 to 1993 144 years Series 2 [B] Entire series, effect on correlation ( .587) is: Lower 1939> -.025 1959> -.024 1934< -.011 1901> -.011 1969> -.010 1973> -.007 Higher 1875 .047 1992 .016 =================================================================================================================================== OMA0002A 1808 to 1993 186 years Series 3 [B] Entire series, effect on correlation ( .700) is: Lower 1825> -.010 1829> -.008 1879> -.006 1827> -.006 1838> -.005 1931> -.005 Higher 1875 .023 1959 .012 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1825 +3.1 SD =================================================================================================================================== OMA0002B 1800 to 1993 194 years Series 4 [B] Entire series, effect on correlation ( .594) is: Lower 1804< -.032 1875> -.018 1803> -.010 1809> -.010 1963> -.008 1811< -.008 Higher 1992 .023 1959 .020 =================================================================================================================================== OMA0003A 1881 to 1993 113 years Series 5 [B] Entire series, effect on correlation ( .518) is: Lower 1959> -.029 1939> -.018 1887< -.014 1950< -.011 1944< -.009 1955> -.008 Higher 1942 .019 1987 .011 =================================================================================================================================== OMA0003B 1871 to 1993 123 years Series 6 [B] Entire series, effect on correlation ( .531) is: Lower 1939> -.020 1875> -.018 1985< -.018 1962< -.010 1927< -.010 1876< -.009 Higher 1940 .021 1992 .012 =================================================================================================================================== OMA0005A 1774 to 1993 220 years Series 7 [B] Entire series, effect on correlation ( .523) is: Lower 1802> -.009 1900< -.009 1805> -.008 1850< -.008 1865< -.007 1973> -.007 Higher 1940 .017 1845 .016 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1900 -5.6 SD =================================================================================================================================== OMA0005B 1774 to 1993 220 years Series 8 [B] Entire series, effect on correlation ( .603) is: Lower 1880< -.015 1969> -.011 1811> -.010 1985< -.009 1805> -.007 1865< -.006 Higher 1789 .015 1940 .015 =================================================================================================================================== OMA0006A 1851 to 1993 143 years Series 9 [B] Entire series, effect on correlation ( .609) is: Lower 1959> -.016 1972< -.014 1922< -.010 1861> -.009 1871< -.009 1900> -.009 Higher 1875 .045 1992 .020 =================================================================================================================================== OMA0006B 1845 to 1993 149 years Series 10 [B] Entire series, effect on correlation ( .595) is: Lower 1944< -.047 1900> -.015 1962< -.011 1845> -.011 1846> -.010 1942> -.009 Higher 1875 .046 1940 .011 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1846 +3.2 SD =================================================================================================================================== OMA0007A 1844 to 1993 150 years Series 11 [B] Entire series, effect on correlation ( .797) is: Lower 1918> -.011 1914< -.009 1844< -.007 1949< -.006 1947> -.006 1857> -.006 Higher 1875 .021 1992 .012 =================================================================================================================================== OMA0007B 1849 to 1993 145 years Series 12 [B] Entire series, effect on correlation ( .786) is: Lower 1954< -.037 1967< -.006 1870< -.006 1966< -.005 1931> -.005 1905> -.004 Higher 1875 .019 1992 .014 =================================================================================================================================== OMA0008A 1874 to 1993 120 years Series 13 [B] Entire series, effect on correlation ( .657) is: Lower 1992> -.031 1990< -.016 1874> -.014 1946< -.010 1959> -.008 1916< -.007 Higher 1875 .029 1942 .011 =================================================================================================================================== OMA0008B 1876 to 1993 118 years Series 14 [B] Entire series, effect on correlation ( .647) is: Lower 1992> -.022 1955> -.016 1989> -.010 1939> -.009 1937< -.008 1975> -.007 Higher 1940 .025 1942 .010 =================================================================================================================================== OMA0009A 1882 to 1993 112 years Series 15 [B] Entire series, effect on correlation ( .665) is: Lower 1945< -.020 1905> -.011 1939> -.010 1918< -.010 1898< -.009 1887< -.008 Higher 1940 .028 1959 .019 =================================================================================================================================== OMA0009B 1880 to 1993 114 years Series 16 [B] Entire series, effect on correlation ( .664) is: Lower 1918< -.032 1939> -.015 1925< -.010 1946< -.009 1882< -.009 1963> -.009 Higher 1959 .021 1987 .012 =================================================================================================================================== OMA0010A 1856 to 1993 138 years Series 17 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1856 1905 1 .01 -.20 -.04 .10 -.03 -.05 -.02 -.09 -.24 -.12 -.15| .39* .13 -.02 .34 .15 .02 -.14 .00 -.08 .01 1875 1924 1 .02 .07 .10 .11 .03 -.05 -.14 -.10 -.07 .18 .20| .36*-.01 -.09 -.24 -.19 -.08 -.10 -.06 -.07 .13 [B] Entire series, effect on correlation ( .405) is: Lower 1875> -.070 1871< -.032 1873< -.021 1859> -.019 1889> -.016 1861> -.015 Higher 1992 .048 1969 .022 1856 to 1905 segment: Lower 1875> -.104 1873< -.041 1889> -.027 1861> -.022 1862< -.018 1859> -.017 Higher 1903 .041 1892 .029 1875 to 1924 segment: Lower 1875> -.222 1889> -.046 1894< -.019 1882< -.018 1916< -.012 1893> -.012 Higher 1924 .058 1903 .034 [C] Year-to-year changes diverging by over 4.0 std deviations: 1874 1875 6.0 SD [E] Outliers 4 3.0 SD above or -4.5 SD below mean for year 1861 +3.6 SD; 1871 -5.0 SD; 1875 +4.5 SD; 1970 -4.6 SD =================================================================================================================================== OMA0011A 1905 to 1993 89 years Series 18 [B] Entire series, effect on correlation ( .666) is: Lower 1905> -.020 1927< -.014 1951> -.011 1940> -.011 1912< -.009 1952< -.007 Higher 1992 .040 1969 .019 =================================================================================================================================== OMA0012A 1889 to 1993 105 years Series 19 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1889 1938 -1 -.06 -.12 -.21 -.19 -.23 -.03 .04 .12 .17 .42* .32| .18 -.11 .02 -.44 -.19 -.23 .09 .25 .09 .21 [B] Entire series, effect on correlation ( .577) is: Lower 1889> -.027 1937< -.020 1890< -.019 1975> -.016 1899< -.015 1895> -.015 Higher 1959 .034 1992 .030 1889 to 1938 segment: Lower 1889> -.066 1890< -.043 1937< -.039 1895> -.036 1917> -.024 1903< -.018 Higher 1924 .052 1918 .039 =================================================================================================================================== OMA0012B 1856 to 1993 138 years Series 20 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1856 1905 -2 .08 -.33 -.02 -.04 .09 -.13 -.09 -.13 .61*-.03 .27|-.13 -.08 -.29 .02 -.05 .19 .00 -.05 .10 .10 1875 1924 -2 .10 -.12 -.05 -.24 -.02 -.20 -.12 .01 .52* .07 .43|-.10 -.15 -.22 -.08 -.13 .04 .10 .15 .12 .13 [B] Entire series, effect on correlation ( .496) is: Lower 1877< -.028 1891< -.022 1992> -.013 1860< -.011 1866< -.010 1896> -.009 Higher 1959 .028 1940 .022 1856 to 1905 segment: Lower 1891< -.046 1877< -.039 1860< -.022 1896> -.022 1866< -.021 1867> -.017 Higher 1889 .068 1875 .066 1875 to 1924 segment: Lower 1877< -.062 1891< -.056 1896> -.024 1886< -.019 1905> -.014 1893> -.014 Higher 1889 .044 1900 .044 =================================================================================================================================== OMA0013A 1905 to 1993 89 years Series 21 [B] Entire series, effect on correlation ( .697) is: Lower 1939< -.033 1907< -.024 1991< -.015 1919> -.014 1928> -.008 1964> -.007 Higher 1959 .027 1992 .019 =================================================================================================================================== OMA0014A 1853 to 1993 141 years Series 22 [B] Entire series, effect on correlation ( .592) is: Lower 1875> -.035 1984< -.015 1936< -.010 1864< -.009 1906> -.007 1853> -.007 Higher 1992 .026 1969 .017 =================================================================================================================================== OMA0014B 1848 to 1993 146 years Series 23 [B] Entire series, effect on correlation ( .595) is: Lower 1875> -.037 1971< -.026 1864< -.016 1984< -.015 1961< -.008 1906> -.008 Higher 1992 .026 1940 .019 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1984 -6.0 SD =================================================================================================================================== OMA0016A 1855 to 1993 139 years Series 24 [B] Entire series, effect on correlation ( .680) is: Lower 1974< -.014 1867> -.014 1941< -.011 1868< -.011 1896> -.010 1903< -.010 Higher 1875 .025 1969 .012 =================================================================================================================================== OMA0016B 1861 to 1993 133 years Series 25 [B] Entire series, effect on correlation ( .701) is: Lower 1974< -.026 1917> -.012 1868< -.011 1900> -.010 1924< -.009 1940> -.007 Higher 1875 .029 1987 .008 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1875 -5.9 SD =================================================================================================================================== OMA0017A 1891 to 1993 103 years Series 26 [B] Entire series, effect on correlation ( .670) is: Lower 1942> -.021 1904< -.019 1946< -.012 1902> -.011 1963> -.011 1977> -.009 Higher 1959 .034 1992 .021 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1902 +3.1 SD =================================================================================================================================== OMA0017B 1905 to 1993 89 years Series 27 [B] Entire series, effect on correlation ( .732) is: Lower 1942> -.033 1917< -.013 1905> -.011 1946< -.011 1926> -.009 1906> -.008 Higher 1959 .020 1940 .017 =================================================================================================================================== OMA0019A 1794 to 1993 200 years Series 28 [B] Entire series, effect on correlation ( .605) is: Lower 1805< -.020 1882< -.018 1798> -.015 1802< -.012 1939< -.009 1918> -.008 Higher 1959 .019 1845 .017 [C] Year-to-year changes diverging by over 4.0 std deviations: 1939 1940 4.1 SD [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1939 -4.5 SD =================================================================================================================================== OMA0019B 1794 to 1993 200 years Series 29 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1794 1843 10 .12 -.27 .05 .10 -.18 -.05 .14 -.10 -.16 -.09 .26| .13 .00 .17 -.08 -.35 -.11 .07 -.25 .11 .26* [B] Entire series, effect on correlation ( .625) is: Lower 1808< -.028 1798> -.026 1882< -.015 1820> -.009 1936< -.007 1804> -.006 Higher 1875 .033 1969 .010 1794 to 1843 segment: Lower 1808< -.110 1798> -.105 1820> -.036 1804> -.019 1801> -.015 1795< -.014 Higher 1831 .053 1823 .048 [C] Year-to-year changes diverging by over 4.0 std deviations: 1875 1876 4.3 SD [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1798 +3.5 SD; 1875 -4.6 SD =================================================================================================================================== OMA0020A 1843 to 1993 151 years Series 30 [B] Entire series, effect on correlation ( .653) is: Lower 1928> -.015 1956> -.009 1984> -.008 1891< -.008 1948< -.007 1851< -.006 Higher 1959 .020 1859 .013 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1928 +3.3 SD =================================================================================================================================== OMA0020B 1840 to 1993 154 years Series 31 [B] Entire series, effect on correlation ( .656) is: Lower 1935< -.024 1840< -.022 1928> -.010 1857< -.009 1891< -.007 1940> -.007 Higher 1959 .013 1859 .012 =================================================================================================================================== PART 7: DESCRIPTIVE STATISTICS: 09:23 Mon 05 Jan 2004 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 OMA0001A 1878 1993 116 4 0 .616 .85 2.39 .492 .770 .288 2.73 .515 .025 1 2 OMA0001B 1850 1993 144 5 0 .587 .48 1.53 .269 .715 .302 2.86 .444 .048 1 3 OMA0002A 1808 1993 186 7 0 .700 .71 2.01 .328 .758 .265 2.65 .372 -.054 1 4 OMA0002B 1800 1993 194 7 0 .594 .71 2.48 .362 .738 .281 2.67 .489 -.086 2 5 OMA0003A 1881 1993 113 4 0 .518 1.16 2.96 .565 .826 .223 2.61 .402 -.065 1 6 OMA0003B 1871 1993 123 5 0 .531 1.14 2.50 .567 .801 .267 2.62 .457 -.041 1 7 OMA0005A 1774 1993 220 9 0 .523 .42 1.04 .189 .753 .283 2.47 .315 -.002 1 8 OMA0005B 1774 1993 220 9 0 .603 .54 1.31 .292 .781 .317 2.82 .477 -.004 1 9 OMA0006A 1851 1993 143 5 0 .609 .73 1.96 .354 .781 .257 2.85 .435 -.069 2 10 OMA0006B 1845 1993 149 6 0 .595 .78 2.13 .406 .789 .258 2.68 .404 .033 1 11 OMA0007A 1844 1993 150 6 0 .797 .67 1.71 .340 .780 .260 2.73 .432 -.034 1 12 OMA0007B 1849 1993 145 6 0 .786 .59 1.66 .318 .787 .280 2.75 .528 .019 1 13 OMA0008A 1874 1993 120 5 0 .657 .78 2.13 .415 .821 .235 2.66 .445 -.017 1 14 OMA0008B 1876 1993 118 4 0 .647 .93 2.50 .460 .736 .274 2.63 .414 .008 1 15 OMA0009A 1882 1993 112 4 0 .665 .67 2.07 .402 .818 .295 2.92 .490 -.008 1 16 OMA0009B 1880 1993 114 4 0 .664 .71 2.06 .517 .872 .310 2.81 .425 .018 1 17 OMA0010A 1856 1993 138 5 2 .405 .69 2.82 .501 .846 .324 2.79 .491 .008 1 18 OMA0011A 1905 1993 89 3 0 .666 .75 2.01 .351 .709 .283 2.70 .429 -.042 1 19 OMA0012A 1889 1993 105 4 1 .577 .96 3.02 .514 .718 .335 2.71 .539 -.030 2 20 OMA0012B 1856 1993 138 5 2 .496 .73 2.52 .386 .661 .359 2.72 .485 -.014 1 21 OMA0013A 1905 1993 89 3 0 .697 1.20 2.55 .449 .761 .219 2.67 .467 .026 1 22 OMA0014A 1853 1993 141 5 0 .592 1.02 2.88 .716 .889 .276 2.69 .404 -.083 1 23 OMA0014B 1848 1993 146 6 0 .595 1.04 3.24 .762 .919 .282 2.56 .400 -.047 1 24 OMA0016A 1855 1993 139 5 0 .680 .70 2.02 .368 .760 .278 2.61 .439 .031 1 25 OMA0016B 1861 1993 133 5 0 .701 .71 2.97 .487 .827 .281 2.56 .300 .057 1 26 OMA0017A 1891 1993 103 4 0 .670 .86 2.32 .460 .804 .259 2.61 .470 -.061 1 27 OMA0017B 1905 1993 89 3 0 .732 .69 1.96 .426 .816 .299 2.64 .499 -.020 1 28 OMA0019A 1794 1993 200 8 0 .605 .46 1.83 .272 .621 .357 2.82 .453 -.018 2 29 OMA0019B 1794 1993 200 8 1 .625 .49 1.88 .297 .729 .338 2.59 .375 -.001 1 30 OMA0020A 1843 1993 151 6 0 .653 .66 2.22 .550 .898 .295 2.59 .383 -.057 1 31 OMA0020B 1840 1993 154 6 0 .656 .70 2.87 .511 .863 .284 2.92 .587 -.047 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 4382 166 6 .623 .73 3.24 .415 .782 .289 2.92 .440 -.018 - = [ COFECHA PITK1COF ] = -