[] Dendrochronology Program Library Run LEMOL Program COF 09:39 Fri 02 Jan 2004 Page 1 [] [] P R O G R A M C O F E C H A Version 6.06P 25205 ------------------------------------------------------------------------------------------------------------------------------------ QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS File of DATED series: lemol.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 1623 to 1851 229 years Continuous time span is 1623 to 1851 229 years Portion with two or more series is 1623 to 1850 228 years **************************************** *C* Number of dated series 18 *C* *O* Master series 1623 1851 229 yrs *O* *F* Total rings in all series 3077 *F* *E* Total dated rings checked 3076 *E* *C* Series intercorrelation .578 *C* *H* Average mean sensitivity .191 *H* *A* Segments, possible problems 9 *A* *** Mean length of series 170.9 *** **************************************** 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: 09:39 Fri 02 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 : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . <===================> . . . . . OMA0851A 1 1623 1823 201 . . . . . . . . . . . . <======================> . . . . OMA0851B 2 1623 1851 229 . . . . . . . . . . . . . <==============>. . . . . OMA0852A 3 1692 1846 155 . . . . . . . . . . . . . <============> . . . . . OMA0852B 4 1692 1823 132 . . . . . . . . . . . . . .<============>. . . . . OMA0853A 5 1712 1844 133 . . . . . . . . . . . . . .<============>. . . . . OMA0853B 6 1712 1840 129 . . . . . . . . . . . . . <===============> . . . . OMA0854A 7 1692 1850 159 . . . . . . . . . . . . . <==============>. . . . . OMA0854B 8 1692 1845 154 . . . . . . . . . . . . . <=============>. . . . . OMA0855A 9 1702 1840 139 . . . . . . . . . . . . . <==============> . . . . OMA0855B 10 1702 1850 149 . . . . . . . . . . . . <====================>. . . . . OMA0856A 11 1630 1846 217 . . . . . . . . . . . . <===================> . . . . . OMA0856B 12 1630 1832 203 . . . . . . . . . . . . . <===============>. . . . . OMA0857A 13 1683 1847 165 . . . . . . . . . . . . . <================> . . . . OMA0857B 14 1684 1850 167 . . . . . . . . . . . . <====================>. . . . . OMA0860A 15 1630 1845 216 . . . . . . . . . . . . <====================>. . . . . OMA0860B 16 1630 1842 213 . . . . . . . . . . . . . <==============> . . . . . OMA0862A 17 1680 1835 156 . . . . . . . . . . . . . <==============> . . . . . OMA0862B 18 1680 1839 160 : : : : : : : : : : : : : : : : : : : : : 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: 09:39 Fri 02 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 ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1650 .790 6 1700 1.114 14 1750 -.252 18 1800 -.337 18 1850 -1.463 4 1651 2.128 6 1701 .761 14 1751 -.775 18 1801 -1.377 18 1851 -.530 1 1652 -.943 6 1702 .414 16 1752 1.180 18 1802 .336 18 1653 .022 6 1703 -.102 16 1753 1.148 18 1803 -.269 18 1654 -.140 6 1704 .535 16 1754 1.725 18 1804 -.042 18 1655 1.398 6 1705 .781 16 1755 .374 18 1805 .861 18 1656 -.058 6 1706 .838 16 1756 .212 18 1806 -1.310 18 1657 .667 6 1707 1.100 16 1757 .477 18 1807 .691 18 1658 1.327 6 1708 .189 16 1758 .086 18 1808 -1.640 18 1659 -.772 6 1709 -.292 16 1759 .729 18 1809 .300 18 1660 -.104 6 1710 .551 16 1760 .531 18 1810 -.391 18 1661 -.268 6 1711 .189 16 1761 .500 18 1811 -.436 18 1662 -.521 6 1712 .166 18 1762 1.117 18 1812 .973 18 1663 -1.032 6 1713 -.477 18 1763 .384 18 1813 .212 18 1664 -1.543 6 1714 -1.422 18 1764 .679 18 1814 -.269 18 1665 -1.130 6 1715 -.210 18 1765 .774 18 1815 .958 18 1666 -.448 6 1716 -1.530 18 1766 -.476 18 1816 -.100 18 1667 1.545 6 1717 -.727 18 1767 -2.507 18 1817 .022 18 1668 1.669 6 1718 -.724 18 1768 -.960 18 1818 .199 18 1669 1.107 6 1719 -2.260 18 1769 -.317 18 1819 1.193 18 1670 -.066 6 1720 -.416 18 1770 -1.913 18 1820 -.853 18 1671 1.134 6 1721 -.270 18 1771 -3.138 18 1821 .467 18 1672 .144 6 1722 .868 18 1772 -.972 18 1822 1.155 18 1623 .583 2 1673 1.238 6 1723 .879 18 1773 -.486 18 1823 -.453 18 1624 -3.499 2 1674 -.266 6 1724 .263 18 1774 -.028 18 1824 .271 16 1625 .379 2 1675 -1.743 6 1725 .608 18 1775 .496 18 1825 -.197 16 1626 -.247 2 1676 -.639 6 1726 -.527 18 1776 .686 18 1826 1.238 16 1627 -.683 2 1677 -.204 6 1727 .253 18 1777 1.474 18 1827 -.540 16 1628 2.457 2 1678 .277 6 1728 .070 18 1778 2.383 18 1828 -.363 16 1629 2.589 2 1679 -.628 6 1729 1.250 18 1779 .357 18 1829 -.334 16 1630 1.234 6 1680 -.199 8 1730 .869 18 1780 .496 18 1830 -.020 16 1631 .196 6 1681 1.002 8 1731 .397 18 1781 .441 18 1831 .172 16 1632 -1.542 6 1682 1.230 8 1732 1.088 18 1782 1.327 18 1832 -1.513 16 1633 -.224 6 1683 1.474 9 1733 1.018 18 1783 1.086 18 1833 -.791 15 1634 .773 6 1684 .941 10 1734 .401 18 1784 .556 18 1834 -.173 15 1635 .815 6 1685 -1.559 10 1735 -.708 18 1785 -.652 18 1835 -.799 15 1636 .768 6 1686 -.699 10 1736 .007 18 1786 -1.230 18 1836 -.100 14 1637 .774 6 1687 -1.107 10 1737 .149 18 1787 -.063 18 1837 .467 14 1638 -2.017 6 1688 -.887 10 1738 1.601 18 1788 .453 18 1838 1.149 14 1639 -.708 6 1689 -.977 10 1739 .715 18 1789 -.106 18 1839 .702 14 1640 1.003 6 1690 -.815 10 1740 -1.473 18 1790 -2.460 18 1840 1.102 13 1641 .962 6 1691 .494 10 1741 -1.373 18 1791 -1.636 18 1841 -.161 11 1642 .082 6 1692 .350 14 1742 .031 18 1792 -1.737 18 1842 -1.440 11 1643 -2.067 6 1693 .402 14 1743 .458 18 1793 -.201 18 1843 -1.264 10 1644 -1.450 6 1694 1.143 14 1744 .303 18 1794 -.222 18 1844 .396 10 1645 .431 6 1695 .218 14 1745 -1.348 18 1795 .285 18 1845 -.250 9 1646 -.221 6 1696 -.854 14 1746 -1.811 18 1796 .262 18 1846 .659 7 1647 -1.598 6 1697 -1.066 14 1747 -1.270 18 1797 1.175 18 1847 .259 5 1648 -.088 6 1698 -.585 14 1748 -.091 18 1798 .787 18 1848 .673 4 1649 -.505 6 1699 -.192 14 1749 -1.624 18 1799 1.295 18 1849 .952 4 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: 09:39 Fri 02 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 1650--------C 1700---------D 1750---a 1800---a 1850-f 1651----------I 1701--------C 1751--c 1801-f 1851--b 1652--d 1702-------B 1752---------E 1802------A 1653-----@ 1703----@ 1753---------E 1803---a 1654----a 1704-------B 1754----------G 1804----@ 1655----------F 1705--------C 1755------A 1805--------C 1656----@ 1706--------C 1756------A 1806-e 1657--------C 1707---------D 1757-------B 1807--------C 1658----------E 1708-----A 1758-----@ 1808g 1659--c 1709---a 1759--------C 1809------A 1660----@ 1710-------B 1760-------B 1810---b 1661---a 1711-----A 1761-------B 1811---b 1662--b 1712-----A 1762---------D 1812---------D 1663-d 1713---b 1763------B 1813------A 1664f 1714-f 1764--------C 1814---a 1665-e 1715----a 1765--------C 1815---------D 1666---b 1716f 1766---b 1816----@ 1667----------F 1717--c 1767j 1817-----@ 1668----------G 1718--c 1768--d 1818------A 1669---------D 1719i 1769---a 1819---------E 1670----@ 1720---b 1770h 1820--c 1671---------E 1721---a 1771m 1821-------B 1672-----A 1722--------C 1772-d 1822---------E 1623-------B 1673---------E 1723--------D 1773---b 1823---b 1624n 1674---a 1724------A 1774-----@ 1824------A 1625------B 1675g 1725-------B 1775-------B 1825----a 1626---a 1676--c 1726--b 1776--------C 1826---------E 1627--c 1677----a 1727------A 1777----------F 1827--b 1628----------J 1678------A 1728-----@ 1778----------J 1828---a 1629----------J 1679--c 1729---------E 1779------A 1829---a 1630---------E 1680----a 1730--------C 1780-------B 1830-----@ 1631------A 1681---------D 1731------B 1781-------B 1831-----A 1632f 1682---------E 1732---------D 1782----------E 1832f 1633----a 1683----------F 1733---------D 1783---------D 1833--c 1634--------C 1684---------D 1734-------B 1784-------B 1834----a 1635--------C 1685f 1735--c 1785--c 1835--c 1636--------C 1686--c 1736-----@ 1786-e 1836----@ 1637--------C 1687-d 1737-----A 1787----@ 1837-------B 1638h 1688--d 1738----------F 1788-------B 1838---------E 1639--c 1689-d 1739--------C 1789----@ 1839--------C 1640---------D 1690--c 1740-f 1790j 1840---------D 1641---------D 1691-------B 1741-e 1791g 1841----a 1642-----@ 1692------A 1742-----@ 1792g 1842-f 1643h 1693-------B 1743-------B 1793----a 1843-e 1644-f 1694---------E 1744------A 1794----a 1844------B 1645-------B 1695------A 1745-e 1795------A 1845---a 1646----a 1696--c 1746g 1796------A 1846--------C 1647f 1697-d 1747-e 1797---------E 1847------A 1648----@ 1698--b 1748----@ 1798--------C 1848--------C 1649---b 1699----a 1749f 1799----------E 1849---------D PART 5: CORRELATION OF SERIES BY SEGMENTS: 09:39 Fri 02 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 1600 1625 1650 1675 1700 1725 1750 1775 1800 1825 1649 1674 1699 1724 1749 1774 1799 1824 1849 1874 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 OMA0851A 1623 1823 .54 .44 .41 .37 .60 .72 .75 .62 2 OMA0851B 1623 1851 .50 .40 .60 .50 .59 .69 .75 .64 .25B .30A 3 OMA0852A 1692 1846 .48 .36 .37 .61 .46 .34B 4 OMA0852B 1692 1823 .33 .29B .41 .59 .65 5 OMA0853A 1712 1844 .43 .62 .69 .61 .56 6 OMA0853B 1712 1840 .57 .72 .71 .60 .54 7 OMA0854A 1692 1850 .54 .57 .67 .72 .71 .56 .51 8 OMA0854B 1692 1845 .59 .57 .61 .66 .54 .42 9 OMA0855A 1702 1840 .60 .57 .60 .74 .64 10 OMA0855B 1702 1850 .40 .57 .73 .68 .46 .52 11 OMA0856A 1630 1846 .79 .81 .72 .70 .76 .71 .69 .70 12 OMA0856B 1630 1832 .84 .74 .70 .71 .78 .68 .67 .67 13 OMA0857A 1683 1847 .31B .58 .72 .67 .57 .42 14 OMA0857B 1684 1850 .38 .56 .63 .65 .70 .49 .43 15 OMA0860A 1630 1845 .81 .77 .76 .66 .75 .79 .73 .75 16 OMA0860B 1630 1842 .69 .69 .76 .70 .70 .73 .63 .65 17 OMA0862A 1680 1835 .50 .50 .70 .46B .30A .26B 18 OMA0862B 1680 1839 .48 .38B .54 .69 .49 .47 Av segment correlation .52 .66 .67 .53 .54 .64 .68 .61 .51 .44 PART 6: POTENTIAL PROBLEMS: 09:39 Fri 02 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 =================================================================================================================================== OMA0851A 1623 to 1823 201 years Series 1 [B] Entire series, effect on correlation ( .545) is: Lower 1685> -.021 1656< -.011 1642> -.011 1627< -.009 1762< -.008 1806> -.008 Higher 1624 .028 1790 .020 =================================================================================================================================== OMA0851B 1623 to 1851 229 years Series 2 [*] Later part of series cannot be checked from 1851 to 1851 -- 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 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1800 1849 -5 .06 -.18 .08 -.12 .11 .30*-.14 .22 .09 -.23 .25|-.37 .16 - - - - - - - - 1801 1850 0 .00 -.07 .23 -.05 .01 .27 -.17 .17 .01 -.27 .30*-.36 - - - - - - - - - [B] Entire series, effect on correlation ( .515) is: Lower 1638> -.032 1837< -.014 1842> -.012 1832> -.011 1627> -.010 1670> -.009 Higher 1624 .024 1790 .017 1800 to 1849 segment: Lower 1837< -.079 1842> -.051 1832> -.038 1838< -.035 1820> -.028 1801> -.025 Higher 1806 .123 1827 .024 1801 to 1850 segment: Lower 1837< -.060 1842> -.050 1832> -.042 1820> -.030 1838< -.027 1801> -.025 Higher 1806 .091 1850 .031 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1638 +3.1 SD; 1716 +3.1 SD; 1842 +3.3 SD =================================================================================================================================== OMA0852A 1692 to 1846 155 years Series 3 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1797 1846 -10 .38*-.21 .00 .14 -.26 .03 .01 -.14 -.16 .08 .34|-.08 -.09 .06 -.17 .07 - - - - - [B] Entire series, effect on correlation ( .416) is: Lower 1821< -.020 1746> -.014 1748< -.013 1745> -.011 1762< -.009 1737< -.009 Higher 1790 .019 1771 .012 1797 to 1846 segment: Lower 1821< -.049 1816> -.016 1841> -.013 1818< -.010 1824< -.010 1840< -.010 Higher 1801 .026 1809 .018 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1746 +3.3 SD =================================================================================================================================== OMA0852B 1692 to 1823 132 years Series 4 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1700 1749 3 -.27 .03 .01 .18 -.05 .09 -.11 .00 .21 .08 .29| .15 -.08 .32*-.02 .17 -.24 .04 .00 .00 .08 [B] Entire series, effect on correlation ( .431) is: Lower 1742< -.034 1704< -.019 1694< -.015 1733< -.013 1719> -.011 1713> -.008 Higher 1790 .030 1740 .019 1700 to 1749 segment: Lower 1742< -.071 1704< -.040 1719> -.029 1733< -.028 1713> -.019 1723< -.010 Higher 1716 .074 1740 .060 =================================================================================================================================== OMA0853A 1712 to 1844 133 years Series 5 [B] Entire series, effect on correlation ( .561) is: Lower 1842> -.022 1816> -.020 1718< -.016 1739< -.013 1716> -.012 1764< -.008 Higher 1790 .026 1771 .024 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1816 +3.1 SD =================================================================================================================================== OMA0853B 1712 to 1840 129 years Series 6 [B] Entire series, effect on correlation ( .612) is: Lower 1834< -.023 1823> -.014 1816> -.014 1821< -.013 1714> -.010 1718< -.009 Higher 1790 .026 1771 .019 =================================================================================================================================== OMA0854A 1692 to 1850 159 years Series 7 [B] Entire series, effect on correlation ( .578) is: Lower 1850> -.020 1827> -.014 1700< -.014 1830< -.012 1722< -.010 1839< -.009 Higher 1808 .022 1719 .018 =================================================================================================================================== OMA0854B 1692 to 1845 154 years Series 8 [B] Entire series, effect on correlation ( .518) is: Lower 1816< -.025 1800> -.012 1832> -.011 1826< -.009 1699< -.009 1839< -.009 Higher 1808 .022 1767 .012 =================================================================================================================================== OMA0855A 1702 to 1840 139 years Series 9 [B] Entire series, effect on correlation ( .609) is: Lower 1728< -.014 1767> -.012 1707< -.012 1714> -.010 1751< -.009 1711< -.009 Higher 1719 .017 1740 .017 =================================================================================================================================== OMA0855B 1702 to 1850 149 years Series 10 [B] Entire series, effect on correlation ( .544) is: Lower 1827> -.024 1823> -.023 1749> -.014 1707< -.013 1713> -.012 1801> -.010 Higher 1790 .024 1808 .023 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1823 +3.1 SD =================================================================================================================================== OMA0856A 1630 to 1846 217 years Series 11 [B] Entire series, effect on correlation ( .717) is: Lower 1806> -.014 1816< -.006 1656> -.006 1792> -.005 1833< -.004 1720< -.004 Higher 1638 .014 1685 .009 =================================================================================================================================== OMA0856B 1630 to 1832 203 years Series 12 [B] Entire series, effect on correlation ( .734) is: Lower 1799< -.011 1832< -.006 1656> -.005 1792> -.005 1761< -.004 1703> -.004 Higher 1685 .012 1638 .009 =================================================================================================================================== OMA0857A 1683 to 1847 165 years Series 13 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1683 1732 5 .24 .01 .00 .04 -.10 .12 -.25 -.23 .09 -.09 .31| .15 .16 .00 -.05 .37* .09 .03 -.14 .00 -.11 [B] Entire series, effect on correlation ( .490) is: Lower 1832> -.027 1840< -.025 1685> -.018 1823< -.016 1684< -.010 1688> -.009 Higher 1740 .020 1806 .012 1683 to 1732 segment: Lower 1685> -.048 1684< -.043 1688> -.035 1724> -.028 1716> -.021 1694< -.014 Higher 1719 .048 1714 .042 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1688 +3.2 SD =================================================================================================================================== OMA0857B 1684 to 1850 167 years Series 14 [B] Entire series, effect on correlation ( .509) is: Lower 1840< -.034 1850> -.020 1832> -.014 1828< -.012 1827> -.012 1784< -.007 Higher 1767 .017 1806 .016 =================================================================================================================================== OMA0860A 1630 to 1845 216 years Series 15 [B] Entire series, effect on correlation ( .757) is: Lower 1813< -.008 1740> -.007 1674> -.006 1696> -.004 1806> -.004 1844< -.004 Higher 1685 .011 1638 .008 =================================================================================================================================== OMA0860B 1630 to 1842 213 years Series 16 [B] Entire series, effect on correlation ( .672) is: Lower 1814< -.012 1656> -.009 1805< -.008 1827< -.006 1806> -.006 1740> -.005 Higher 1685 .011 1719 .009 =================================================================================================================================== OMA0862A 1680 to 1835 156 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 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1750 1799 -4 .01 .05 .05 -.18 -.10 .02 .54* .10 .02 .00 .46| .11 -.04 .01 -.05 -.17 .01 -.07 -.19 -.10 -.19 1775 1824 0 .11 .13 .14 -.16 -.08 -.10 .27 -.06 .19 -.25 .30*-.11 .13 -.03 -.17 .01 .14 .13 -.19 -.14 .04 1786 1835 -4 .15 .12 .12 -.07 -.12 -.16 .34*-.06 .10 -.31 .26|-.10 .09 -.05 -.19 .07 .09 .02 -.11 -.14 .16 [B] Entire series, effect on correlation ( .490) is: Lower 1794< -.049 1790> -.019 1823> -.012 1729< -.010 1713< -.010 1815< -.010 Higher 1685 .030 1771 .026 1750 to 1799 segment: Lower 1794< -.113 1790> -.064 1785> -.024 1786> -.010 1764< -.008 1751> -.008 Higher 1771 .092 1770 .030 1775 to 1824 segment: Lower 1794< -.108 1790> -.036 1823> -.030 1815< -.022 1785> -.020 1822< -.011 Higher 1801 .025 1778 .025 1786 to 1835 segment: Lower 1794< -.115 1790> -.033 1823> -.028 1815< -.023 1825> -.012 1822< -.011 Higher 1801 .023 1805 .021 =================================================================================================================================== OMA0862B 1680 to 1839 160 years Series 18 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1700 1749 -1 .03 -.19 -.07 -.02 .29 .34 -.04 -.11 -.05 .38* .38| .10 -.09 .07 -.06 .14 .00 -.33 -.27 -.14 .04 [B] Entire series, effect on correlation ( .529) is: Lower 1801> -.022 1823> -.014 1798< -.012 1815< -.010 1729< -.008 1820> -.008 Higher 1685 .031 1790 .026 1700 to 1749 segment: Lower 1729< -.026 1726> -.025 1740> -.022 1719> -.015 1708> -.010 1727< -.008 Higher 1746 .019 1722 .017 [C] Year-to-year changes diverging by over 4.0 std deviations: 1800 1801 4.3 SD =================================================================================================================================== PART 7: DESCRIPTIVE STATISTICS: 09:39 Fri 02 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 OMA0851A 1623 1823 201 8 0 .545 .67 2.63 .489 .909 .206 2.57 .398 -.012 1 2 OMA0851B 1623 1851 229 10 2 .515 .59 2.73 .473 .923 .208 2.54 .349 -.040 1 3 OMA0852A 1692 1846 155 6 1 .416 .88 2.93 .641 .917 .191 2.56 .325 .021 1 4 OMA0852B 1692 1823 132 5 1 .431 1.05 2.24 .591 .925 .180 2.46 .372 -.029 1 5 OMA0853A 1712 1844 133 5 0 .561 1.11 1.95 .441 .866 .158 2.55 .398 -.007 1 6 OMA0853B 1712 1840 129 5 0 .612 1.20 2.96 .611 .920 .164 2.66 .412 .045 1 7 OMA0854A 1692 1850 159 7 0 .578 .76 2.73 .598 .966 .154 2.64 .446 -.009 1 8 OMA0854B 1692 1845 154 6 0 .518 .82 3.00 .709 .974 .167 2.75 .418 .005 1 9 OMA0855A 1702 1840 139 5 0 .609 .98 3.69 .630 .926 .163 2.58 .415 -.017 1 10 OMA0855B 1702 1850 149 6 0 .544 .90 3.96 .598 .903 .172 2.65 .526 .004 1 11 OMA0856A 1630 1846 217 8 0 .717 .58 1.66 .358 .892 .218 2.60 .399 -.033 1 12 OMA0856B 1630 1832 203 8 0 .734 .59 1.78 .365 .912 .195 2.66 .381 .035 1 13 OMA0857A 1683 1847 165 6 1 .490 .76 3.91 .722 .951 .205 2.48 .355 -.016 1 14 OMA0857B 1684 1850 167 7 0 .509 .75 3.33 .639 .949 .195 2.58 .428 -.020 1 15 OMA0860A 1630 1845 216 8 0 .757 .59 1.94 .359 .899 .206 2.56 .371 -.003 1 16 OMA0860B 1630 1842 213 8 0 .672 .49 1.54 .273 .910 .183 2.68 .382 -.031 1 17 OMA0862A 1680 1835 156 6 3 .490 .74 3.72 .577 .896 .208 2.49 .389 .026 4 18 OMA0862B 1680 1839 160 6 1 .529 .82 4.09 .577 .881 .222 2.67 .466 .007 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 3077 120 9 .578 .76 4.09 .519 .917 .191 2.75 .399 -.006 - = [ COFECHA LEMOLCOF ] = -