[] Dendrochronology Program Library Run LKAT1 Program COF 09:47 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: lkat.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 1454 to 1779 326 years Continuous time span is 1454 to 1779 326 years Portion with two or more series is 1454 to 1779 326 years **************************************** *C* Number of dated series 15 *C* *O* Master series 1454 1779 326 yrs *O* *F* Total rings in all series 3275 *F* *E* Total dated rings checked 3275 *E* *C* Series intercorrelation .605 *C* *H* Average mean sensitivity .190 *H* *A* Segments, possible problems 3 *A* *** Mean length of series 218.3 *** **************************************** 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: 09:47 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 : : : : : : : : : : : : : : : : : : : : : -------- --- ---- ---- ---- . . . . . . . . <===============================> . . . . . . OMA0371A 1 1454 1778 325 . . . . . . . . . . . . <============> . . . . . . OMA0374A 2 1643 1779 137 . . . . . . . . . . . . <============> . . . . . . OMA0374B 3 1643 1779 137 . . . . . . . . <===============================> . . . . . . OMA0377A 4 1454 1779 326 . . . . . . . . <===============================> . . . . . . OMA0377B 5 1454 1779 326 . . . . . . . . . . <======================> . . . . . . OMA0379A 6 1541 1777 237 . . . . . . . . . . <======================> . . . . . . OMA0379B 7 1541 1775 235 . . . . . . . . . . . . <=============> . . . . . . OMA0381A 8 1637 1779 143 . . . . . . . . . . . . <=============> . . . . . . OMA0381B 9 1637 1778 142 . . . . . . . . . . . <===================> . . . . . . OMA0385A 10 1570 1778 209 . . . . . . . . . . . <================>. . . . . . . OMA0385B 11 1570 1748 179 . . . . . . . . . . <======================> . . . . . . OMA0386A 12 1542 1779 238 . . . . . . . . . . <======================> . . . . . . OMA0386B 13 1542 1779 238 . . . . . . . . . . . <===================> . . . . . . OMA0388A 14 1572 1779 208 . . . . . . . . . . . <==================> . . . . . . OMA0388B 15 1572 1766 195 : : : : : : : : : : : : : : : : : : : : : 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: 09:47 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 ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1500 -1.695 3 1550 -.058 7 1600 .330 11 1650 -.978 15 1700 -.730 15 1501 -1.666 3 1551 -1.351 7 1601 -.870 11 1651 .181 15 1701 -.736 15 1502 -1.181 3 1552 -.469 7 1602 .595 11 1652 -1.063 15 1702 -.403 15 1503 -1.923 3 1553 -.710 7 1603 -.925 11 1653 .537 15 1703 -.333 15 1454 -1.842 3 1504 -.786 3 1554 -1.111 7 1604 -.271 11 1654 -.966 15 1704 .174 15 1455 -1.701 3 1505 .529 3 1555 .279 7 1605 -2.573 11 1655 1.012 15 1705 1.166 15 1456 -.310 3 1506 .067 3 1556 .167 7 1606 -1.235 11 1656 1.238 15 1706 1.299 15 1457 1.401 3 1507 .200 3 1557 .554 7 1607 -.784 11 1657 1.011 15 1707 1.875 15 1458 .761 3 1508 .783 3 1558 .405 7 1608 .367 11 1658 .980 15 1708 .784 15 1459 -.122 3 1509 -.231 3 1559 1.784 7 1609 -.322 11 1659 -.483 15 1709 -.067 15 1460 1.410 3 1510 1.251 3 1560 1.392 7 1610 .315 11 1660 -.636 15 1710 -.538 15 1461 1.023 3 1511 1.394 3 1561 .962 7 1611 2.117 11 1661 -.075 15 1711 -.870 15 1462 1.196 3 1512 2.077 3 1562 -.454 7 1612 1.437 11 1662 .352 15 1712 -1.354 15 1463 .619 3 1513 .124 3 1563 -.936 7 1613 .214 11 1663 .786 15 1713 -1.249 15 1464 1.732 3 1514 -1.222 3 1564 -1.319 7 1614 1.264 11 1664 .200 15 1714 -.242 15 1465 .506 3 1515 -.535 3 1565 .506 7 1615 1.537 11 1665 -.028 15 1715 .877 15 1466 -.907 3 1516 .683 3 1566 .023 7 1616 .939 11 1666 -.037 15 1716 1.575 15 1467 -1.881 3 1517 1.537 3 1567 -.194 7 1617 .555 11 1667 1.085 15 1717 -.228 15 1468 .227 3 1518 -.802 3 1568 -.089 7 1618 .439 11 1668 1.225 15 1718 .444 15 1469 1.099 3 1519 -.283 3 1569 -1.561 7 1619 -1.031 11 1669 .058 15 1719 -.483 15 1470 .238 3 1520 -.750 3 1570 -.005 9 1620 .431 11 1670 -2.088 15 1720 -.841 15 1471 -.746 3 1521 .553 3 1571 .621 9 1621 .641 11 1671 -1.067 15 1721 -.837 15 1472 -2.025 3 1522 1.088 3 1572 -.113 11 1622 -2.027 11 1672 -.723 15 1722 .309 15 1473 1.154 3 1523 1.602 3 1573 .895 11 1623 -.641 11 1673 .187 15 1723 -.037 15 1474 1.288 3 1524 -.062 3 1574 1.125 11 1624 -.541 11 1674 -.350 15 1724 .126 15 1475 -1.269 3 1525 -.353 3 1575 -.228 11 1625 -.484 11 1675 -1.441 15 1725 .029 15 1476 -2.606 3 1526 -.354 3 1576 1.389 11 1626 .468 11 1676 -1.229 15 1726 -1.426 15 1477 -1.902 3 1527 -.506 3 1577 .084 11 1627 .376 11 1677 -.604 15 1727 -1.106 15 1478 -1.582 3 1528 -1.854 3 1578 .128 11 1628 -.510 11 1678 -.634 15 1728 -.801 15 1479 -1.652 3 1529 -1.759 3 1579 -1.626 11 1629 -.955 11 1679 -1.422 15 1729 .246 15 1480 -.119 3 1530 -1.986 3 1580 -1.242 11 1630 -.876 11 1680 -.746 15 1730 .798 15 1481 -.428 3 1531 -.982 3 1581 .280 11 1631 -.666 11 1681 .856 15 1731 .652 15 1482 .292 3 1532 -.763 3 1582 -1.089 11 1632 -1.482 11 1682 .748 15 1732 .943 15 1483 -.662 3 1533 -.128 3 1583 1.033 11 1633 -.575 11 1683 1.165 15 1733 1.449 15 1484 -1.155 3 1534 1.288 3 1584 1.063 11 1634 .628 11 1684 .920 15 1734 .233 15 1485 .182 3 1535 2.463 3 1585 .993 11 1635 .635 11 1685 -.009 15 1735 -.454 15 1486 2.155 3 1536 1.973 3 1586 .001 11 1636 .449 11 1686 1.147 15 1736 -.287 15 1487 .481 3 1537 1.525 3 1587 .155 11 1637 1.848 13 1687 .173 15 1737 .234 15 1488 .920 3 1538 .146 3 1588 .248 11 1638 1.411 13 1688 -.253 15 1738 1.410 15 1489 -.418 3 1539 .059 3 1589 -1.079 11 1639 .142 13 1689 -.800 15 1739 1.638 15 1490 -.322 3 1540 -1.853 3 1590 -.655 11 1640 .633 13 1690 -.677 15 1740 -.158 15 1491 1.540 3 1541 -.279 5 1591 -.207 11 1641 .077 13 1691 .962 15 1741 -1.113 15 1492 1.116 3 1542 .404 7 1592 1.179 11 1642 -1.300 13 1692 .671 15 1742 -.550 15 1493 .716 3 1543 .702 7 1593 -.711 11 1643 -.490 15 1693 .690 15 1743 -.327 15 1494 .883 3 1544 .749 7 1594 -.138 11 1644 -.834 15 1694 1.561 15 1744 -.253 15 1495 1.688 3 1545 .553 7 1595 1.157 11 1645 -.310 15 1695 .903 15 1745 -.493 15 1496 .976 3 1546 .751 7 1596 1.134 11 1646 -.079 15 1696 .191 15 1746 -.546 15 1497 1.130 3 1547 .843 7 1597 -.305 11 1647 -.047 15 1697 -.682 15 1747 -.144 15 1498 .880 3 1548 -1.211 7 1598 -.355 11 1648 .898 15 1698 -1.023 15 1748 .318 15 1499 -2.551 3 1549 -1.827 7 1599 -.385 11 1649 .243 15 1699 -1.463 15 1749 -.940 14 PART 3: Master Dating Series: 09:47 Fri 02 Jan 2004 Page 4 ------------------------------------------------------------------------------------------------------------------------------------ Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab Year Value No Ab ------------------ ------------------ ------------------ ------------------ ------------------ ------------------ 1750 -1.135 14 1751 -1.696 14 1752 -.231 14 1753 .378 14 1754 1.819 14 1755 1.125 14 1756 .623 14 1757 .549 14 1758 .621 14 1759 .884 14 1760 1.054 14 1761 .665 14 1762 .207 14 1763 .346 14 1764 .740 14 1765 -.256 14 1766 -.670 14 1767 -.791 13 1768 -.423 13 1769 -.160 13 1770 -1.927 13 1771 -2.188 13 1772 -1.164 13 1773 -.801 13 1774 -.160 13 1775 .205 13 1776 .768 12 1777 1.549 12 1778 1.117 11 1779 .456 8 ------------------------------------------------------------------------------------------------------------------------------------ PART 4: Master Bar Plot: 09:47 Fri 02 Jan 2004 Page 5 ------------------------------------------------------------------------------------------------------------------------------------ Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value Year Rel value 1500g 1550-----@ 1600------A 1650-d 1700--c 1750-e 1501g 1551-e 1601--c 1651------A 1701--c 1751g 1502-e 1552---b 1602-------B 1652-d 1702---b 1752----a 1503h 1553--c 1603--d 1653-------B 1703----a 1753------B 1454g 1504--c 1554-d 1604----a 1654-d 1704------A 1754----------G 1455g 1505-------B 1555------A 1605j 1655---------D 1705---------E 1755---------E 1456----a 1506-----@ 1556------A 1606-e 1656---------E 1706---------E 1756-------B 1457----------F 1507------A 1557-------B 1607--c 1657---------D 1707----------G 1757-------B 1458--------C 1508--------C 1558-------B 1608------A 1658--------D 1708--------C 1758-------B 1459----@ 1509----a 1559----------G 1609----a 1659---b 1709-----@ 1759--------D 1460----------F 1510---------E 1560----------F 1610------A 1660--c 1710---b 1760---------D 1461---------D 1511----------F 1561--------D 1611----------H 1661-----@ 1711--c 1761-------C 1462---------E 1512----------H 1562---b 1612----------F 1662------A 1712-e 1762------A 1463-------B 1513-----@ 1563--d 1613------A 1663--------C 1713-e 1763------A 1464----------G 1514-e 1564-e 1614---------E 1664------A 1714----a 1764--------C 1465-------B 1515---b 1565-------B 1615----------F 1665-----@ 1715--------D 1765----a 1466--d 1516-------C 1566-----@ 1616--------D 1666-----@ 1716----------F 1766--c 1467h 1517----------F 1567----a 1617-------B 1667---------D 1717----a 1767--c 1468------A 1518--c 1568-----@ 1618-------B 1668---------E 1718-------B 1768---b 1469---------D 1519----a 1569f 1619-d 1669-----@ 1719---b 1769----a 1470------A 1520--c 1570-----@ 1620-------B 1670h 1720--c 1770h 1471--c 1521-------B 1571-------B 1621-------C 1671-d 1721--c 1771i 1472h 1522---------D 1572----@ 1622h 1672--c 1722------A 1772-e 1473---------E 1523----------F 1573--------D 1623--c 1673------A 1723-----@ 1773--c 1474---------E 1524-----@ 1574---------D 1624---b 1674----a 1724-----A 1774----a 1475-e 1525----a 1575----a 1625---b 1675-f 1725-----@ 1775------A 1476j 1526----a 1576----------F 1626-------B 1676-e 1726-f 1776--------C 1477h 1527---b 1577-----@ 1627------B 1677---b 1727-d 1777----------F 1478f 1528g 1578-----A 1628---b 1678---c 1728--c 1778---------D 1479g 1529g 1579g 1629--d 1679-f 1729------A 1779-------B 1480----@ 1530h 1580-e 1630--d 1680--c 1730--------C 1481---b 1531-d 1581------A 1631--c 1681--------C 1731-------C 1482------A 1532--c 1582-d 1632f 1682--------C 1732--------D 1483--c 1533----a 1583---------D 1633---b 1683---------E 1733----------F 1484-e 1534---------E 1584---------D 1634-------C 1684--------D 1734------A 1485------A 1535----------J 1585--------D 1635-------C 1685-----@ 1735---b 1486----------I 1536----------H 1586-----@ 1636-------B 1686---------E 1736----a 1487-------B 1537----------F 1587------A 1637----------G 1687------A 1737------A 1488--------D 1538------A 1588------A 1638----------F 1688----a 1738----------F 1489---b 1539-----@ 1589-d 1639------A 1689--c 1739----------G 1490----a 1540g 1590--c 1640-------C 1690--c 1740----a 1491----------F 1541----a 1591----a 1641-----@ 1691--------D 1741-d 1492---------D 1542-------B 1592---------E 1642-e 1692-------C 1742---b 1493-------C 1543-------C 1593--c 1643---b 1693-------C 1743----a 1494--------D 1544--------C 1594----a 1644--c 1694----------F 1744----a 1495----------G 1545-------B 1595---------E 1645----a 1695--------D 1745---b 1496--------D 1546--------C 1596---------E 1646-----@ 1696------A 1746---b 1497---------E 1547--------C 1597----a 1647-----@ 1697--c 1747----a 1498--------D 1548-e 1598----a 1648--------D 1698-d 1748------A 1499j 1549g 1599---b 1649------A 1699-f 1749--d PART 5: CORRELATION OF SERIES BY SEGMENTS: 09:47 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 1450 1475 1500 1525 1550 1575 1600 1625 1650 1675 1700 1725 1750 1499 1524 1549 1574 1599 1624 1649 1674 1699 1724 1749 1774 1799 --- -------- --------- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- 1 OMA0371A 1454 1778 .93 .92 .86 .77 .69 .55 .53 .69 .70 .75 .63 .63 .60 2 OMA0374A 1643 1779 .59 .53 .39B .51 .67 .64 3 OMA0374B 1643 1779 .54 .55 .50 .44B .59 .66 4 OMA0377A 1454 1779 .88 .84 .70 .58 .70 .67 .61 .73 .72 .67 .65 .68 .68 5 OMA0377B 1454 1779 .90 .89 .81 .78 .70 .65 .62 .57 .59 .74 .61 .64 .69 6 OMA0379A 1541 1777 .57 .51 .65 .62 .63 .68 .63 .57 .53 .60 7 OMA0379B 1541 1775 .50 .54 .66 .65 .58 .62 .56 .47 .41 .40 8 OMA0381A 1637 1779 .45 .54 .48 .48 .60 .63 9 OMA0381B 1637 1778 .39 .43 .59 .56 .65 .64 10 OMA0385A 1570 1778 .55 .70 .68 .54 .68 .75 .46 .38 .36 11 OMA0385B 1570 1748 .42 .65 .62 .49 .62 .66 .51 12 OMA0386A 1542 1779 .60 .59 .77 .78 .60 .51 .45 .49 .55 .58 13 OMA0386B 1542 1779 .31A .43 .66 .73 .65 .66 .62 .49 .50 .50 14 OMA0388A 1572 1779 .72 .68 .71 .49 .53 .64 .56 .45 .43 15 OMA0388B 1572 1766 .69 .74 .78 .58 .54 .57 .54 .48 Av segment correlation .90 .88 .79 .59 .59 .67 .67 .57 .59 .60 .53 .55 .57 PART 6: POTENTIAL PROBLEMS: 09:47 Fri 02 Jan 2004 Page 6 ------------------------------------------------------------------------------------------------------------------------------------ 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 =================================================================================================================================== OMA0371A 1454 to 1778 325 years Series 1 [B] Entire series, effect on correlation ( .711) is: Lower 1622> -.024 1619< -.016 1650> -.013 1736< -.012 1675> -.005 1569> -.005 Higher 1499 .013 1670 .006 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1622 +3.7 SD; 1650 +3.2 SD =================================================================================================================================== OMA0374A 1643 to 1779 137 years Series 2 [A] Segment High -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 +0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1675 1724 1 .24 .16 .08 -.01 -.10 -.04 -.40 -.34 -.10 .01 .39| .49* .07 .28 .04 .10 -.19 -.03 -.27 .07 -.01 [B] Entire series, effect on correlation ( .553) is: Lower 1668< -.032 1694< -.019 1753< -.016 1717> -.015 1716< -.011 1713> -.009 Higher 1770 .030 1726 .017 1675 to 1724 segment: Lower 1694< -.057 1717> -.039 1716< -.030 1713> -.027 1701> -.024 1723> -.023 Higher 1675 .059 1691 .040 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1672 +3.7 SD =================================================================================================================================== OMA0374B 1643 to 1779 137 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 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1700 1749 1 -.08 .06 .10 .11 -.09 -.13 -.07 -.27 -.09 -.09 .44| .49* .09 -.12 .14 -.16 -.02 -.01 -.14 .20 .11 [B] Entire series, effect on correlation ( .536) is: Lower 1717> -.014 1663< -.011 1672> -.011 1716< -.009 1669> -.009 1730< -.008 Higher 1670 .025 1654 .015 1700 to 1749 segment: Lower 1717> -.037 1716< -.031 1730< -.030 1708< -.022 1725< -.021 1731< -.020 Higher 1749 .034 1733 .026 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1650 -4.6 SD; 1651 -4.7 SD; 1672 +3.9 SD =================================================================================================================================== OMA0377A 1454 to 1779 326 years Series 4 [B] Entire series, effect on correlation ( .693) is: Lower 1622> -.015 1601< -.011 1551> -.008 1650> -.005 1619< -.005 1774< -.005 Higher 1605 .011 1475 .005 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1619 -5.0 SD; 1622 +3.8 SD =================================================================================================================================== OMA0377B 1454 to 1779 326 years Series 5 [B] Entire series, effect on correlation ( .716) is: Lower 1622> -.015 1650> -.011 1652< -.010 1661< -.006 1745< -.005 1589> -.005 Higher 1499 .014 1475 .005 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1651 +3.1 SD =================================================================================================================================== OMA0379A 1541 to 1777 237 years Series 6 [B] Entire series, effect on correlation ( .592) is: Lower 1726> -.008 1650> -.007 1752< -.006 1554> -.006 1593> -.006 1623< -.006 Higher 1605 .023 1670 .010 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1554 +3.0 SD; 1720 +3.1 SD =================================================================================================================================== OMA0379B 1541 to 1775 235 years Series 7 [B] Entire series, effect on correlation ( .534) is: Lower 1726> -.019 1720< -.008 1586< -.008 1757< -.007 1549< -.007 1612< -.006 Higher 1622 .026 1770 .009 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1726 +4.3 SD =================================================================================================================================== OMA0381A 1637 to 1779 143 years Series 8 [B] Entire series, effect on correlation ( .491) is: Lower 1637< -.023 1639> -.017 1668< -.011 1669> -.008 1690> -.007 1672> -.007 Higher 1670 .023 1754 .016 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1650 -5.6 SD; 1671 +3.2 SD; 1672 +3.9 SD =================================================================================================================================== OMA0381B 1637 to 1778 142 years Series 9 [B] Entire series, effect on correlation ( .487) is: Lower 1637< -.025 1657< -.019 1670> -.013 1706< -.012 1671> -.010 1639> -.008 Higher 1717 .017 1642 .015 [E] Outliers 3 3.0 SD above or -4.5 SD below mean for year 1650 -5.0 SD; 1671 +4.0 SD; 1672 +3.1 SD =================================================================================================================================== OMA0385A 1570 to 1778 209 years Series 10 [B] Entire series, effect on correlation ( .573) is: Lower 1619> -.023 1570< -.022 1771> -.021 1749> -.017 1630> -.008 1574< -.007 Higher 1622 .040 1605 .025 [E] Outliers 7 3.0 SD above or -4.5 SD below mean for year 1589 -5.2 SD; 1619 +3.3 SD; 1630 +3.9 SD; 1736 +3.8 SD; 1749 +4.1 SD; 1768 +3.9 SD; 1771 +4.2 SD =================================================================================================================================== OMA0385B 1570 to 1748 179 years Series 11 [B] Entire series, effect on correlation ( .533) is: Lower 1570< -.036 1605> -.024 1653< -.010 1588< -.009 1636< -.007 1574< -.007 Higher 1622 .044 1579 .009 [E] Outliers 2 3.0 SD above or -4.5 SD below mean for year 1570 -4.6 SD; 1746 +3.6 SD =================================================================================================================================== OMA0386A 1542 to 1779 238 years Series 12 [B] Entire series, effect on correlation ( .609) is: Lower 1678< -.018 1717> -.011 1728> -.008 1576< -.007 1650> -.006 1564> -.006 Higher 1622 .025 1605 .016 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1728 +3.3 SD =================================================================================================================================== OMA0386B 1542 to 1779 238 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 --------- ---- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- --- 1542 1591 0 .11 -.12 .00 -.02 -.16 .06 -.06 .16 .20 -.30 .31* .13 .02 .20 -.32 -.25 -.03 -.11 -.17 .14 .07 [B] Entire series, effect on correlation ( .561) is: Lower 1549> -.031 1561< -.018 1740> -.013 1650> -.012 1562> -.010 1589> -.006 Higher 1622 .035 1670 .017 1542 to 1591 segment: Lower 1549> -.115 1561< -.065 1562> -.034 1589> -.019 1575> -.019 1563> -.016 Higher 1551 .065 1569 .063 [E] Outliers 6 3.0 SD above or -4.5 SD below mean for year 1549 +5.8 SD; 1564 +3.1 SD; 1575 +3.1 SD; 1622 -4.7 SD; 1726 -4.6 SD; 1740 +3.8 SD =================================================================================================================================== OMA0388A 1572 to 1779 208 years Series 14 [B] Entire series, effect on correlation ( .588) is: Lower 1575< -.015 1756< -.013 1594< -.009 1642> -.009 1741> -.009 1737< -.008 Higher 1605 .031 1593 .007 [E] Outliers 1 3.0 SD above or -4.5 SD below mean for year 1741 +3.0 SD =================================================================================================================================== OMA0388B 1572 to 1766 195 years Series 15 [B] Entire series, effect on correlation ( .614) is: Lower 1681< -.010 1687> -.009 1583< -.009 1734> -.008 1720> -.008 1737< -.007 Higher 1622 .039 1605 .019 [E] Outliers 4 3.0 SD above or -4.5 SD below mean for year 1588 +3.7 SD; 1589 +3.0 SD; 1653 +3.3 SD; 1687 +3.1 SD =================================================================================================================================== PART 7: DESCRIPTIVE STATISTICS: 09:47 Fri 02 Jan 2004 Page 7 ------------------------------------------------------------------------------------------------------------------------------------ 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 OMA0371A 1454 1778 325 13 0 .711 .44 1.01 .198 .872 .187 2.58 .346 -.036 1 2 OMA0374A 1643 1779 137 6 1 .553 .71 1.32 .221 .707 .201 2.62 .427 .052 1 3 OMA0374B 1643 1779 137 6 1 .536 .77 1.87 .317 .825 .199 2.56 .370 -.023 3 4 OMA0377A 1454 1779 326 13 0 .693 .42 .98 .198 .871 .194 2.72 .426 -.030 3 5 OMA0377B 1454 1779 326 13 0 .716 .43 1.00 .184 .857 .189 2.79 .392 -.022 1 6 OMA0379A 1541 1777 237 10 0 .592 .54 1.45 .334 .884 .209 2.79 .451 -.008 2 7 OMA0379B 1541 1775 235 10 0 .534 .48 1.25 .283 .911 .185 2.75 .429 .043 1 8 OMA0381A 1637 1779 143 6 0 .491 .78 2.14 .312 .740 .226 2.66 .339 .021 1 9 OMA0381B 1637 1778 142 6 0 .487 .73 1.67 .344 .844 .223 2.58 .322 -.030 3 10 OMA0385A 1570 1778 209 9 0 .573 .52 1.81 .296 .901 .188 2.67 .362 -.027 2 11 OMA0385B 1570 1748 179 7 0 .533 .51 1.88 .330 .927 .163 2.53 .359 -.013 3 12 OMA0386A 1542 1779 238 10 0 .609 .42 1.90 .351 .939 .190 2.55 .376 .041 1 13 OMA0386B 1542 1779 238 10 1 .561 .48 1.88 .355 .937 .182 2.53 .327 -.016 1 14 OMA0388A 1572 1779 208 9 0 .588 .50 2.46 .398 .919 .168 2.67 .427 -.014 1 15 OMA0388B 1572 1766 195 8 0 .614 .47 3.26 .409 .910 .159 2.56 .354 .017 1 --- -------- --------- ----- ----- ----- ------ ----- ----- ----- ----- ----- ----- ----- ----- -- Total or mean: 3275 136 3 .605 .52 3.26 .291 .878 .190 2.79 .383 -.006 - = [ COFECHA LKAT1COF ] = -