[] Dendrochronology Program Library Run KTAP1 Program COF 09:06 Mon 12 Jan 2004 Page 1 [] [] P R O G R A M C O F E C H A Version 6.06P 25215 ------------------------------------------------------------------------------------------------------------------------------------ QUALITY CONTROL AND DATING CHECK OF TREE-RING MEASUREMENTS File of DATED series: ktap.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 1505 to 1772 268 years Continuous time span is 1505 to 1772 268 years Portion with two or more series is 1538 to 1772 235 years **************************************** *C* Number of dated series 19 *C* *O* Master series 1505 1772 268 yrs *O* *F* Total rings in all series 3280 *F* *E* Total dated rings checked 3247 *E* *C* Series intercorrelation .515 *C* *H* Average mean sensitivity .181 *H* *A* Segments, possible problems 12 *A* *** Mean length of series 172.6 *** **************************************** 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: 09:06 Mon 12 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 : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . . . . . <==============> . . . . . . OMA0415B 1 1623 1772 150 . . . . . . . . . . . . <==============> . . . . . . OMA0415C 2 1622 1772 151 . . . . . . . . . . . . <===========> . . . . . . OMA0420A 3 1651 1772 122 . . . . . . . . . . . . <==============> . . . . . . OMA0420B 4 1620 1772 153 . . . . . . . . . . . . <===========> . . . . . . OMA0421A 5 1650 1772 123 . . . . . . . . . <==========================> . . . . . . OMA0423B 6 1505 1772 268 . . . . . . . . . . <=====================> . . . . . . OMA0426A 7 1556 1772 217 . . . . . . . . . . <=====================> . . . . . . OMA0426B 8 1551 1772 222 . . . . . . . . . . . . <===========> . . . . . . OMA0429A 9 1646 1768 123 . . . . . . . . . . . . <=============> . . . . . . OMA0430A 10 1638 1771 134 . . . . . . . . . . . . <============> . . . . . . OMA0430B 11 1632 1769 138 . . . . . . . . . . . <===============> . . . . . . OMA0431A 12 1600 1765 166 . . . . . . . . . . . .<===============> . . . . . . OMA0431B 13 1616 1772 157 . . . . . . . . . . <======================> . . . . . . OMA0432A 14 1538 1763 226 . . . . . . . . . . . <==================> . . . . . . OMA0432B 15 1577 1769 193 . . . . . . . . . . . .<===============> . . . . . . OMA0437A 16 1618 1772 155 . . . . . . . . . . . .<===============> . . . . . . OMA0437B 17 1618 1772 155 . . . . . . . . . . <====================> . . . . . . OMA0439A 18 1555 1769 215 . . . . . . . . . . <=====================> . . . . . . OMA0440A 19 1559 1770 212 : : : : : : : : : : : : : : : : : : : : : 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: 09:06 Mon 12 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 ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1550 -.317 2 1600 1.681 8 1650 -1.659 18 1700 .117 19 1750 -1.151 19 1551 .403 3 1601 .007 8 1651 .036 19 1701 .208 19 1751 -1.432 19 1552 1.042 3 1602 .412 8 1652 -1.322 19 1702 .766 19 1752 .926 19 1553 -.272 3 1603 -.160 8 1653 .470 19 1703 .280 19 1753 1.018 19 1554 -3.102 3 1604 .671 8 1654 -2.186 19 1704 .926 19 1754 1.273 19 1505 -1.019 1 1555 -.946 4 1605 -.769 8 1655 -.524 19 1705 .750 19 1755 .298 19 1506 -.264 1 1556 .215 5 1606 -.802 8 1656 .071 19 1706 .032 19 1756 .520 19 1507 .360 1 1557 .728 5 1607 -.649 8 1657 -.340 19 1707 .122 19 1757 .684 19 1508 2.063 1 1558 .605 5 1608 -.170 8 1658 .598 19 1708 -.761 19 1758 .560 19 1509 2.440 1 1559 .613 6 1609 .954 8 1659 -.739 19 1709 -2.112 19 1759 1.171 19 1510 .109 1 1560 -.950 6 1610 .334 8 1660 .249 19 1710 .161 19 1760 .808 19 1511 1.968 1 1561 .043 6 1611 .602 8 1661 .408 19 1711 .678 19 1761 .227 19 1512 -.069 1 1562 -1.209 6 1612 1.055 8 1662 1.022 19 1712 -.652 19 1762 1.311 19 1513 -1.550 1 1563 -.678 6 1613 .262 8 1663 1.306 19 1713 -.720 19 1763 .296 19 1514 -3.555 1 1564 .697 6 1614 .435 8 1664 1.080 19 1714 -1.695 19 1764 .312 18 1515 -1.768 1 1565 -.639 6 1615 -.709 8 1665 .538 19 1715 .185 19 1765 -.465 18 1516 -1.216 1 1566 .423 6 1616 -.031 9 1666 -.995 19 1716 .980 19 1766 -1.453 17 1517 -1.316 1 1567 .754 6 1617 1.012 9 1667 -1.209 19 1717 .418 19 1767 -2.182 17 1518 .825 1 1568 .114 6 1618 .267 11 1668 .487 19 1718 .101 19 1768 -.254 17 1519 .463 1 1569 -.080 6 1619 .034 11 1669 .364 19 1719 -1.750 19 1769 .030 16 1520 .292 1 1570 .858 6 1620 .189 12 1670 -.748 19 1720 .360 19 1770 -.050 13 1521 3.121 1 1571 .424 6 1621 -.563 12 1671 .042 19 1721 -.528 19 1771 -.738 12 1522 .818 1 1572 -.450 6 1622 -1.943 13 1672 -.177 19 1722 .785 19 1772 .143 11 1523 .700 1 1573 -.783 6 1623 -.464 14 1673 .513 19 1723 1.445 19 1524 -1.776 1 1574 -.721 6 1624 -.521 14 1674 .630 19 1724 -.144 19 1525 -.493 1 1575 -2.112 6 1625 -.117 14 1675 -.170 19 1725 .599 19 1526 -.645 1 1576 -.373 6 1626 .358 14 1676 .381 19 1726 -.262 19 1527 -1.428 1 1577 .114 7 1627 -.036 14 1677 -.957 19 1727 .466 19 1528 -.034 1 1578 1.474 7 1628 .187 14 1678 -.656 19 1728 .591 19 1529 .572 1 1579 .847 7 1629 .281 14 1679 -1.377 19 1729 .257 19 1530 -1.648 1 1580 1.014 7 1630 1.515 14 1680 -.471 19 1730 .713 19 1531 -.360 1 1581 1.028 7 1631 .744 14 1681 1.292 19 1731 .450 19 1532 -2.451 1 1582 .379 7 1632 -.219 15 1682 .709 19 1732 .945 19 1533 -1.571 1 1583 1.189 7 1633 -.181 15 1683 1.309 19 1733 1.241 19 1534 2.034 1 1584 .011 7 1634 .571 15 1684 1.425 19 1734 .947 19 1535 2.866 1 1585 -.087 7 1635 -.929 15 1685 -1.582 19 1735 -1.170 19 1536 .198 1 1586 -1.334 7 1636 -.692 15 1686 .018 19 1736 -.973 19 1537 1.244 1 1587 -1.234 7 1637 .435 15 1687 .597 19 1737 -.595 19 1538 -2.757 2 1588 -.936 7 1638 .696 16 1688 -.496 19 1738 .822 19 1539 .797 2 1589 -1.528 7 1639 -.264 16 1689 -.478 19 1739 .751 19 1540 .151 2 1590 .200 7 1640 .201 16 1690 -.736 19 1740 -1.328 19 1541 1.385 2 1591 -1.495 7 1641 .309 16 1691 1.167 19 1741 -1.432 19 1542 .217 2 1592 .314 7 1642 .128 16 1692 -.664 19 1742 -.568 19 1543 -.453 2 1593 -.783 7 1643 -.678 16 1693 -.168 19 1743 -.191 19 1544 -.545 2 1594 .313 7 1644 -1.129 16 1694 .993 19 1744 .541 19 1545 -.327 2 1595 1.373 7 1645 .535 16 1695 .566 19 1745 -.996 19 1546 2.234 2 1596 .102 7 1646 -.127 17 1696 -.817 19 1746 -1.777 19 1547 1.275 2 1597 -1.304 7 1647 .410 17 1697 .135 19 1747 .153 19 1548 1.605 2 1598 .831 7 1648 1.694 17 1698 -.883 19 1748 .704 19 1549 .001 2 1599 .791 7 1649 .299 17 1699 -.158 19 1749 -1.769 19 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: 09:06 Mon 12 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 1550---a 1600----------G 1650g 1700-----@ 1750-e 1551-------B 1601----@ 1651-----@ 1701-----A 1751-f 1552---------D 1602-------B 1652-e 1702--------C 1752---------D 1553---a 1603----a 1653-------B 1703------A 1753---------D 1554l 1604--------C 1654i 1704---------D 1754----------E 1505-d 1555-d 1605--c 1655---b 1705--------C 1755------A 1506---a 1556-----A 1606--c 1656-----@ 1706----@ 1756-------B 1507------A 1557--------C 1607--c 1657---a 1707-----@ 1757--------C 1508----------H 1558--------B 1608----a 1658--------B 1708--c 1758-------B 1509----------J 1559--------B 1609---------D 1659--c 1709h 1759---------E 1510-----@ 1560-d 1610------A 1660------A 1710-----A 1760--------C 1511----------H 1561-----@ 1611--------B 1661-------B 1711--------C 1761------A 1512----@ 1562-e 1612---------D 1662---------D 1712--c 1762----------E 1513f 1563--c 1613------A 1663----------E 1713--c 1763------A 1514n 1564--------C 1614-------B 1664---------D 1714g 1764------A 1515g 1565--c 1615--c 1665-------B 1715-----A 1765---b 1516-e 1566-------B 1616----@ 1666-d 1716---------D 1766-f 1517-e 1567--------C 1617---------D 1667-e 1717-------B 1767i 1518--------C 1568-----@ 1618------A 1668-------B 1718-----@ 1768----a 1519-------B 1569----@ 1619-----@ 1669------A 1719g 1769----@ 1520------A 1570---------C 1620-----A 1670--c 1720------A 1770----@ 1521----------L 1571-------B 1621---b 1671-----@ 1721---b 1771--c 1522--------C 1572---b 1622h 1672----a 1722--------C 1772-----A 1523--------C 1573--c 1623---b 1673-------B 1723----------F 1524g 1574--c 1624---b 1674--------C 1724----a 1525---b 1575h 1625----@ 1675----a 1725--------B 1526--c 1576---a 1626------A 1676------B 1726---a 1527-f 1577-----@ 1627----@ 1677-d 1727-------B 1528----@ 1578----------F 1628-----A 1678--c 1728-------B 1529-------B 1579---------C 1629------A 1679-f 1729------A 1530g 1580---------D 1630----------F 1680---b 1730--------C 1531---a 1581---------D 1631--------C 1681----------E 1731-------B 1532j 1582------B 1632----a 1682--------C 1732---------D 1533f 1583---------E 1633----a 1683----------E 1733----------E 1534----------H 1584----@ 1634-------B 1684----------F 1734---------D 1535----------K 1585----@ 1635--d 1685f 1735-e 1536-----A 1586-e 1636--c 1686----@ 1736-d 1537----------E 1587-e 1637-------B 1687--------B 1737--b 1538k 1588-d 1638--------C 1688---b 1738--------C 1539--------C 1589f 1639---a 1689---b 1739--------C 1540-----A 1590-----A 1640-----A 1690--c 1740-e 1541----------F 1591f 1641------A 1691---------E 1741-f 1542------A 1592------A 1642-----A 1692--c 1742---b 1543---b 1593--c 1643--c 1693----a 1743----a 1544---b 1594------A 1644-e 1694---------D 1744-------B 1545---a 1595----------E 1645-------B 1695-------B 1745-d 1546----------I 1596-----@ 1646----a 1696--c 1746g 1547----------E 1597-e 1647-------B 1697-----A 1747-----A 1548----------F 1598--------C 1648----------G 1698--d 1748--------C 1549----@ 1599--------C 1649------A 1699----a 1749g PART 5: CORRELATION OF SERIES BY SEGMENTS: 09:06 Mon 12 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 1525 1550 1575 1600 1625 1650 1675 1700 1725 1574 1599 1624 1649 1674 1699 1724 1749 1774 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 OMA0415B 1623 1772 .39 .41 .54 .54 .56 .58 2 OMA0415C 1622 1772 .60 .62 .66 .47 .44 .64 3 OMA0420A 1651 1772 .54 .50 .50 .57 4 OMA0420B 1620 1772 .43 .48 .58 .52 .53 .60 5 OMA0421A 1650 1772 .20A .42 .50 .56 6 OMA0423B 1505 1772 .41 .37 .40 .17B .03B .43 .70 .65 .52 7 OMA0426A 1556 1772 .27A .31A .27B .39 .62 .67 .64 .58 8 OMA0426B 1551 1772 .54 .58 .40 .48 .65 .75 .71 .67 9 OMA0429A 1646 1768 .48 .49 .57 .50 .51 10 OMA0430A 1638 1771 .70 .69 .45 .52 .67 11 OMA0430B 1632 1769 .49 .69 .51 .58 .77 12 OMA0431A 1600 1765 -.10B .60 .66 .50 .57 .56 13 OMA0431B 1616 1772 .44 .45 .53 .49 .51 .52 14 OMA0432A 1538 1763 .32A .28A .50 .41 .65 .63 .53 .18B .07B 15 OMA0432B 1577 1769 .40 .43 .62 .66 .61 .67 .32A 16 OMA0437A 1618 1772 .75 .78 .81 .71 .71 .63 17 OMA0437B 1618 1772 .75 .78 .81 .71 .71 .63 18 OMA0439A 1555 1769 .48 .53 .50 .64 .63 .46 .55 .65 19 OMA0440A 1559 1770 .52 .45 .43 .71 .66 .60 .59 .55 Av segment correlation .37 .41 .45 .42 .55 .61 .56 .56 .56 PART 6: POTENTIAL PROBLEMS: 09:06 Mon 12 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 =================================================================================================================================== OMA0415B 1623 to 1772 150 years Series 1 [B] Entire series, effect on correlation ( .481) is: Lower 1635< -.026 1711< -.013 1650> -.010 1746> -.009 1698> -.009 1700< -.008 Higher 1719 .013 1709 .012 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1635 -5.5 SD =================================================================================================================================== OMA0415C 1622 to 1772 151 years Series 2 [B] Entire series, effect on correlation ( .547) is: Lower 1708< -.029 1650> -.018 1696> -.011 1627< -.011 1744< -.009 1649< -.009 Higher 1654 .054 1648 .008 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1696 +3.2 SD =================================================================================================================================== OMA0420A 1651 to 1772 122 years Series 3 [B] Entire series, effect on correlation ( .513) is: Lower 1657< -.031 1701< -.014 1712> -.014 1756< -.011 1721> -.010 1749> -.010 Higher 1654 .055 1735 .012 =================================================================================================================================== OMA0420B 1620 to 1772 153 years Series 4 [B] Entire series, effect on correlation ( .506) is: Lower 1620< -.019 1694< -.012 1702< -.010 1726> -.010 1634< -.008 1646> -.007 Higher 1749 .042 1650 .012 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1768 +3.0 SD =================================================================================================================================== OMA0421A 1650 to 1772 123 years Series 5 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1650 1699 0 -.09 .09 .18 -.05 -.11 .19 -.18 -.12 -.08 .12 .20*-.41 -.03 -.18 -.08 .11 -.10 .12 .06 .03 .07 [B] Entire series, effect on correlation ( .381) is: Lower 1654> -.032 1650> -.016 1745> -.014 1698> -.012 1716< -.011 1662< -.010 Higher 1749 .038 1685 .027 1650 to 1699 segment: Lower 1654> -.052 1650> -.034 1698> -.030 1662< -.028 1655< -.026 1687< -.024 Higher 1685 .122 1653 .030 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1654 +4.1 SD =================================================================================================================================== OMA0423B 1505 to 1772 268 years Series 6 [*] Early part of series cannot be checked from 1505 to 1537 -- 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 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1600 1649 -4 .08 -.12 -.03 .06 -.04 -.08 .36*-.06 -.03 .29 .17|-.19 .08 -.14 -.03 -.11 -.27 .22 -.24 .01 .15 1625 1674 7 .12 -.17 .11 .16 .05 -.02 .14 -.05 .06 -.01 .03|-.17 -.07 -.10 .05 -.08 -.13 .33*-.09 -.05 .17 [B] Entire series, effect on correlation ( .408) is: Lower 1654> -.028 1767> -.016 1564< -.013 1670> -.010 1637< -.010 1568< -.010 Higher 1554 .040 1685 .026 1600 to 1649 segment: Lower 1637< -.056 1607> -.041 1626< -.039 1615> -.037 1645< -.036 1635> -.025 Higher 1622 .121 1648 .043 1625 to 1674 segment: Lower 1654> -.100 1670> -.043 1637< -.037 1626< -.026 1645< -.023 1629< -.015 Higher 1650 .090 1659 .042 [E] Outliers 4 3.0 SD above or -4.5 SD below mean for year 1654 +3.3 SD; 1655 +4.7 SD; 1767 +3.4 SD; 1768 +3.1 SD =================================================================================================================================== OMA0426A 1556 to 1772 217 years Series 7 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1556 1605 0 -.34 -.08 .13 -.10 .12 .18 .12 .02 .11 -.21 .27*-.20 .23 -.08 -.09 -.02 .04 -.13 -.15 -.16 .12 1575 1624 0 -.19 -.11 -.03 -.04 -.15 .13 .22 .18 .19 -.13 .31*-.26 .23 -.22 -.02 .03 .04 -.14 -.13 -.06 .11 1600 1649 -8 .08 .07 .31*-.11 -.21 -.17 -.01 -.07 -.23 .03 .27|-.24 .06 .23 .08 -.08 -.02 -.06 -.12 -.13 .10 [B] Entire series, effect on correlation ( .449) is: Lower 1618< -.016 1654> -.013 1633< -.010 1597> -.009 1632< -.009 1565> -.009 Higher 1685 .022 1749 .020 1556 to 1605 segment: Lower 1597> -.030 1565> -.028 1577< -.027 1571< -.027 1559< -.026 1575> -.023 Higher 1591 .057 1589 .030 1575 to 1624 segment: Lower 1618< -.053 1597> -.034 1575> -.030 1577< -.027 1621> -.021 1579< -.019 Higher 1622 .055 1591 .051 1600 to 1649 segment: Lower 1618< -.060 1633< -.039 1635> -.031 1621> -.031 1624> -.017 1630< -.016 Higher 1622 .092 1605 .035 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1564 +3.2 SD; 1565 +3.4 SD; 1633 -5.7 SD =================================================================================================================================== OMA0426B 1551 to 1772 222 years Series 8 [B] Entire series, effect on correlation ( .590) is: Lower 1553> -.015 1654> -.009 1657> -.008 1577< -.008 1611< -.007 1614< -.007 Higher 1554 .025 1685 .021 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1553 +3.4 SD =================================================================================================================================== OMA0429A 1646 to 1768 123 years Series 9 [B] Entire series, effect on correlation ( .480) is: Lower 1655< -.062 1719> -.013 1672< -.010 1765> -.009 1726> -.009 1679> -.007 Higher 1685 .052 1749 .015 [C] Year-to-year changes diverging by over 4.0 std deviations: 1654 1655 -6.9 SD [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1654 +3.8 SD; 1655 -5.1 SD; 1672 -5.3 SD =================================================================================================================================== OMA0430A 1638 to 1771 134 years Series 10 [B] Entire series, effect on correlation ( .598) is: Lower 1700< -.043 1739< -.014 1765> -.013 1666> -.011 1719> -.010 1691< -.008 Higher 1654 .046 1749 .035 =================================================================================================================================== OMA0430B 1632 to 1769 138 years Series 11 [B] Entire series, effect on correlation ( .603) is: Lower 1701< -.028 1635> -.024 1638< -.021 1732< -.016 1717> -.008 1632> -.008 Higher 1749 .032 1654 .018 =================================================================================================================================== OMA0431A 1600 to 1765 166 years Series 12 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1600 1649 -3 .02 .20 -.11 .18 .05 -.07 .00 .35*-.02 -.20 -.10| .00 -.43 .07 -.12 .14 -.01 .11 .09 -.17 -.10 [B] Entire series, effect on correlation ( .473) is: Lower 1600< -.045 1723< -.014 1601> -.010 1684< -.010 1635> -.009 1631< -.009 Higher 1654 .072 1740 .015 1600 to 1649 segment: Lower 1600< -.173 1601> -.031 1631< -.024 1636> -.018 1644> -.016 1603> -.013 Higher 1622 .064 1648 .052 [C] Year-to-year changes diverging by over 4.0 std deviations: 1600 1601 4.5 SD [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1600 -5.0 SD; 1654 -4.6 SD =================================================================================================================================== OMA0431B 1616 to 1772 157 years Series 13 [B] Entire series, effect on correlation ( .482) is: Lower 1746> -.020 1708> -.015 1760< -.013 1684< -.012 1635> -.009 1626< -.008 Higher 1654 .049 1749 .012 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1708 +3.7 SD; 1746 +3.3 SD =================================================================================================================================== OMA0432A 1538 to 1763 226 years Series 14 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1538 1587 0 .11 .13 -.07 -.11 -.08 .10 -.05 -.23 -.05 -.26 .32* .24 .08 -.02 .08 .09 -.03 .21 -.21 -.04 .15 1550 1599 0 .21 .18 -.08 -.16 -.31 .04 -.14 -.07 -.12 -.17 .28* .18 .01 -.01 .12 -.12 .01 .15 .02 .08 .22 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 1700 1749 -7 .10 -.03 .02 .40*-.22 .23 -.15 .03 .20 -.13 .18| .05 -.06 .09 -.08 .23 -.12 -.09 -.15 -.06 .00 1714 1763 -2 .03 .05 -.07 .26 -.26 .25 -.09 .06 .29*-.06 .07| .11 -.09 .15 -.10 .23 -.12 .07 -.19 -.01 - [B] Entire series, effect on correlation ( .382) is: Lower 1749> -.016 1553< -.016 1612< -.015 1565< -.014 1748< -.012 1735> -.011 Higher 1654 .032 1538 .023 1538 to 1587 segment: Lower 1553< -.047 1565< -.043 1545> -.034 1550< -.018 1562> -.016 1560> -.015 Higher 1538 .081 1554 .037 1550 to 1599 segment: Lower 1553< -.053 1565< -.048 1550< -.020 1562> -.016 1560> -.016 1564< -.016 Higher 1554 .053 1578 .026 1700 to 1749 segment: Lower 1749> -.067 1748< -.050 1735> -.048 1740> -.039 1736> -.028 1716< -.027 Higher 1709 .081 1719 .046 1714 to 1763 segment: Lower 1749> -.048 1735> -.042 1748< -.040 1740> -.030 1736> -.027 1716< -.024 Higher 1719 .062 1745 .044 [C] Year-to-year changes diverging by over 4.0 std deviations: 1553 1554 4.0 SD 1748 1749 4.3 SD [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1565 -5.4 SD; 1736 +3.9 SD =================================================================================================================================== OMA0432B 1577 to 1769 193 years Series 15 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1720 1769 0 -.10 .00 -.07 -.23 .10 -.07 .07 .16 .29 -.11 .32*-.01 .13 -.08 - - - - - - - [B] Entire series, effect on correlation ( .459) is: Lower 1769< -.093 1767> -.019 1583< -.009 1759< -.009 1709> -.007 1580< -.007 Higher 1654 .022 1749 .020 1720 to 1769 segment: Lower 1769< -.252 1767> -.056 1759< -.022 1750> -.008 1721> -.007 1743< -.007 Higher 1749 .078 1735 .023 [C] Year-to-year changes diverging by over 4.0 std deviations: 1768 1769 -5.6 SD [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1769 -7.4 SD =================================================================================================================================== OMA0437A 1618 to 1772 155 years Series 16 [B] Entire series, effect on correlation ( .694) is: Lower 1763< -.014 1636< -.014 1712> -.013 1767> -.011 1745> -.009 1705< -.006 Higher 1654 .033 1685 .018 =================================================================================================================================== OMA0437B 1618 to 1772 155 years Series 17 [B] Entire series, effect on correlation ( .694) is: Lower 1763< -.014 1636< -.014 1712> -.013 1767> -.011 1745> -.009 1705< -.006 Higher 1654 .033 1685 .018 =================================================================================================================================== OMA0439A 1555 to 1769 215 years Series 18 [B] Entire series, effect on correlation ( .548) is: Lower 1717< -.033 1601< -.010 1597> -.007 1674< -.007 1610< -.005 1767> -.005 Higher 1740 .013 1654 .011 =================================================================================================================================== OMA0440A 1559 to 1770 212 years Series 19 [B] Entire series, effect on correlation ( .580) is: Lower 1616< -.012 1748< -.011 1766> -.009 1732< -.008 1697< -.006 1685> -.006 Higher 1654 .013 1767 .012 =================================================================================================================================== PART 7: DESCRIPTIVE STATISTICS: 09:06 Mon 12 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 OMA0415B 1623 1772 150 6 0 .481 1.49 5.73 1.271 .968 .162 2.47 .322 .000 1 2 OMA0415C 1622 1772 151 6 0 .547 1.52 5.94 1.320 .967 .171 2.73 .407 -.050 2 3 OMA0420A 1651 1772 122 4 0 .513 .73 1.94 .332 .771 .219 2.58 .465 -.028 2 4 OMA0420B 1620 1772 153 6 0 .506 1.29 4.71 1.094 .961 .190 2.68 .394 .003 3 5 OMA0421A 1650 1772 123 4 1 .381 1.31 3.24 .719 .914 .149 2.59 .348 .010 1 6 OMA0423B 1505 1772 268 9 2 .408 .68 2.72 .437 .938 .172 2.78 .429 -.028 2 7 OMA0426A 1556 1772 217 8 3 .449 .60 1.66 .302 .880 .196 2.74 .424 -.043 2 8 OMA0426B 1551 1772 222 8 0 .590 .59 1.52 .270 .850 .201 2.66 .443 -.037 2 9 OMA0429A 1646 1768 123 5 0 .480 .92 2.73 .411 .754 .205 2.85 .397 -.052 2 10 OMA0430A 1638 1771 134 5 0 .598 .92 2.77 .467 .903 .183 2.62 .430 .001 3 11 OMA0430B 1632 1769 138 5 0 .603 .93 2.96 .486 .922 .174 2.76 .434 -.028 2 12 OMA0431A 1600 1765 166 6 1 .473 .79 3.29 .681 .957 .155 2.52 .310 -.020 1 13 OMA0431B 1616 1772 157 6 0 .482 .66 2.44 .387 .930 .157 2.91 .511 .011 1 14 OMA0432A 1538 1763 226 9 4 .382 .59 2.82 .419 .917 .200 2.66 .403 -.028 1 15 OMA0432B 1577 1769 193 7 1 .459 .47 1.24 .157 .730 .191 2.44 .280 -.060 1 16 OMA0437A 1618 1772 155 6 0 .694 .43 1.28 .213 .892 .186 2.65 .474 -.040 1 17 OMA0437B 1618 1772 155 6 0 .694 .43 1.28 .213 .892 .186 2.65 .475 -.040 1 18 OMA0439A 1555 1769 215 8 0 .548 .55 1.54 .234 .835 .162 2.66 .416 -.050 1 19 OMA0440A 1559 1770 212 8 0 .580 .51 1.50 .236 .874 .170 2.79 .496 .008 2 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 3280 122 12 .515 .77 5.94 .480 .888 .181 2.91 .415 -.026 - = [ COFECHA KTAP1COF ] = -