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/></calculationBehavior><units><currentUnitSystem name="si" customized="false" /></units></calculation><ws:editor view-annotations="false" view-regions="false"><ruler is-visible="false" ruler-unit="in"><tabs><tab show-guide="true" position="36" /><tab show-guide="true" position="40.5" /><tab show-guide="true" position="67.5" /><tab show-guide="true" position="144" /><tab show-guide="true" position="225" /></tabs></ruler><plotTemplate><xy item-idref="1" /></plotTemplate><grid granularity-x="6" granularity-y="6" /></ws:editor><fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" screen-dpi="96" /><miscellaneous><handbook handbook-region-tag-ub="1498" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295" /></miscellaneous></settings><regions><region region-id="12" left="6" top="6" width="237" height="34.5" align-x="6" align-y="6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><picture><png display-width="235.5" display-height="33" item-idref="2" /></picture><link href="./dataTOC.xmcd" title="Links to Table of Contents" popup="false" /><rendering item-idref="3" /></region><region region-id="664" left="150" top="44.25" width="106.5" height="12" align-x="150" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Titre" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"><f family="Arial" charset="0"><u><inlineAttr line-through="false"><c val="#808000"><link href="./appendix.xmcd" title="Links to Section Contents" popup="false"><sp count="5" />APPENDICES</link></c></inlineAttr></u></f></p></text></region><region region-id="1159" left="36" top="72.75" width="165" height="13.5" align-x="36" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Sous-titre" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Appendix A: New Functions List</p></text><indexes><phrase>new functions list, functions</phrase><phrase>Data Analysis functions</phrase></indexes></region><region region-id="1158" left="36" top="92.25" width="327" height="24" align-x="46.5" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"><f family="Verdana" charset="0"><b><inlineAttr font-style="normal" line-through="false"><c val="#000">Note:</c></inlineAttr></b></f> Place your cursor on any function name below and press [F1] to go to the Help page description for it.</p></text></region><region region-id="1157" left="36" top="132.75" width="132" height="15.75" align-x="87.75" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Bicubic2D</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">Z</ml:id><ml:id xml:space="preserve">p</ml:id><ml:id xml:space="preserve">q</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Bicubic</phrase></indexes><rendering item-idref="4" /></region><region region-id="1495" left="42" top="152.25" width="321" height="24" align-x="69" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Interpolates between 2-D values in Z, with locations x and y, at intermediate points p and q. See <link href="./splines_1.xmcd" title="Links to section" popup="false"><b><u>Example file</u></b><f family="Verdana" charset="0"><inlineAttr font-weight="normal" underline="false" line-through="false"><c val="#000">.</c></inlineAttr></f></link></p></text></region><region region-id="1155" left="36" top="192.75" width="66.75" height="15.75" align-x="73.5" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Binterp</ml:id><ml:sequence><ml:id xml:space="preserve">x</ml:id><ml:id xml:space="preserve">b</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Binterp</phrase></indexes><rendering item-idref="5" /></region><region region-id="1494" left="42" top="212.25" width="333" height="24" align-x="42" align-y="222" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Interpolates results b from <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Spline2</c></inlineAttr></b></f> at point x, along with the first, second, and third derivatives. See <b><u><link href="./statspline.xmcd" title="Links to section" popup="false">Example file</link></u></b><f family="Verdana" charset="0"><inlineAttr font-weight="normal" line-through="false"><c val="#000"><link href="./statspline.xmcd" title="Links to example" popup="false">.</link></c></inlineAttr></f></p></text></region><region region-id="1153" left="36" top="246.75" width="149.25" height="15.75" align-x="89.25" align-y="258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">confidence</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">F</ml:id><ml:id xml:space="preserve">b</ml:id><ml:id xml:space="preserve">conf</ml:id></ml:sequence></ml:apply></math><indexes><phrase>confidence</phrase></indexes><rendering item-idref="6" /></region><region region-id="1493" left="42" top="266.25" width="305.25" height="24" align-x="42" align-y="276" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the confidence limits on the parameters b of a fitting function F(x,b) fit to the data vx and vy. See <b><u>Example file</u></b><f family="Verdana" charset="0"><inlineAttr font-weight="normal" underline="false" line-through="false"><c val="#000">.</c></inlineAttr></f></p></text><link href="./quality.xmcd" title="Links to section" popup="false" /></region><region region-id="1020" left="36" top="300.75" width="71.25" height="15.75" align-x="84.75" align-y="312" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">contingtbl</ml:id><ml:id xml:space="preserve">M</ml:id></ml:apply></math><indexes><phrase>contingtbl</phrase></indexes><rendering item-idref="7" /></region><region region-id="1492" left="42" top="320.25" width="324.75" height="48" align-x="42" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns chi-squared, degrees of freedom, probability that chi-squared or larger would occur if variables had no association, Cramer's V, and the contingency coefficient, C for a contingency table M. See <b><u><link href="./association.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./association.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1024" left="36" top="384.75" width="43.5" height="15.75" align-x="63" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">DWS</ml:id><ml:id xml:space="preserve">b</ml:id></ml:apply></math><indexes><phrase>DWS</phrase></indexes><rendering item-idref="8" /></region><region region-id="1491" left="42" top="404.25" width="334.5" height="36" align-x="69" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Takes a vector, b, the result vector from the <b>Spline2</b> function and returns the Durbin-Watson statistic of the Spline. See <b><u><link href="./statspline.xmcd" title="Links to section" popup="false">Example file</link></u></b>.</p></text></region><region region-id="1023" left="36" top="456.75" width="64.5" height="15.75" align-x="84" align-y="468" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">filterNaN</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></math><indexes><phrase>filterNaN</phrase></indexes><rendering item-idref="9" /></region><region region-id="1490" left="42" top="476.25" width="263.25" height="24" align-x="42" align-y="486" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Trims the elements or rows or data that have NaNs. <br />See <b><u><link href="./NaN.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./NaN.xmcd" title="Links to example" popup="false">.</link></p></text><link href="./NaN.xmcd" title="Links to example file" popup="false" /></region><region region-id="1036" left="36" top="510.75" width="66.75" height="15.75" align-x="61.5" align-y="522" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Ftest</ml:id><ml:sequence><ml:id xml:space="preserve">v1</ml:id><ml:id xml:space="preserve">v2</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Ftest</phrase></indexes><rendering item-idref="10" /></region><region region-id="1489" left="42" top="530.25" width="325.5" height="48" align-x="42" align-y="540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Tests the hypothesis that v1 and v2 are drawn from distributions having the same variance. Returns the F statistic, and the probability that a value this large or larger would occur when the distributions have the same variance. See <b><u><link href="./dispersion.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./dispersion.xmcd" title="Links to example." popup="false">.</link></p></text></region><region region-id="877" left="0" top="588" width="6000" height="6" align-x="0" align-y="588" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="1043" left="36" top="594.75" width="66" height="15.75" align-x="72.75" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Grubbs</ml:id><ml:sequence><ml:id xml:space="preserve">v</ml:id><ml:id xml:space="preserve">a</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Grubbs</phrase></indexes><rendering item-idref="11" /></region><region region-id="1488" left="42" top="614.25" width="333" height="24" align-x="42" align-y="624" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns indices of suspected outliers, and their Grubbs test statistics for a confidence level a. See <b><u><link href="./outlier.xmcd" title="Links to example" popup="false">Example file</link></u></b><link href="./outlier.xmcd" title="Links to section" popup="false">.</link></p></text></region><region region-id="996" left="36" top="648.75" width="102" height="15.75" align-x="108.75" align-y="660" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">GrubbsClassic</ml:id><ml:sequence><ml:id xml:space="preserve">v</ml:id><ml:id xml:space="preserve">a</ml:id></ml:sequence></ml:apply></math><indexes><phrase>GrubbsClassic</phrase></indexes><rendering item-idref="12" /></region><region region-id="1487" left="42" top="668.25" width="328.5" height="24" align-x="42" align-y="678" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns index of the data point most likely to be an outlier and its Grubbs test statistic for a confidence level a. See <b><u><link href="./outlier.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./outlier.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1005" left="36" top="708.75" width="144" height="15.75" align-x="78.75" align-y="720" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Hlookup</ml:id><ml:sequence><ml:id xml:space="preserve">z</ml:id><ml:id xml:space="preserve">a</ml:id><ml:id xml:space="preserve">row</ml:id><ml:id xml:space="preserve">modifier</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Hlookup</phrase></indexes><rendering item-idref="13" /></region><region region-id="1486" left="42" top="728.25" width="327" height="36" align-x="42" align-y="738" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Looks in the first row of A for values matched by z according to the boolean modifier. Returns the value(s) in the matched column(s) in row r. See <b><u><link href="./matching.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./matching.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1007" left="36" top="780.75" width="84.75" height="15.75" align-x="79.5" align-y="792" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">kendltau</ml:id><ml:sequence><ml:id xml:space="preserve">v1</ml:id><ml:id xml:space="preserve">v2</ml:id></ml:sequence></ml:apply></math><indexes><phrase>kendltau</phrase></indexes><rendering item-idref="14" /></region><region region-id="1496" left="42" top="800.25" width="332.25" height="36" align-x="42" align-y="810" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns Kendall's tau, number of standard deviations from 0, and the probability that a value this large or larger would occur if the samples were uncorrelated. See <b><u><link href="./association.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./association.xmcd" title="Links to example" popup="false">.</link></p></text><indexes><phrase>Kendall's tau</phrase></indexes></region><region region-id="1010" left="36" top="846.75" width="72" height="15.75" align-x="85.5" align-y="858" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">kendltau2</ml:id><ml:id xml:space="preserve">M</ml:id></ml:apply></math><indexes><phrase>kendltau2</phrase></indexes><rendering item-idref="15" /></region><region region-id="1483" left="42" top="866.25" width="325.5" height="36" align-x="42" align-y="876" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns Kendall's tau, number of standard deviations from 0, and the probability that a value this large or larger would occur if contingency table M were uncorrelated. See <b><u><link href="./association.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./association.xmcd" title="Links to example" popup="false">.</link></p></text><indexes><phrase>Kendall's tau</phrase></indexes></region><region region-id="1013" left="36" top="912.75" width="322.5" height="15.75" align-x="118.5" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">LeastSquaresFit</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">F</ml:id><ml:id xml:space="preserve">guess</ml:id><ml:id xml:space="preserve">conf</ml:id><ml:parens><ml:id xml:space="preserve">Stdy</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">LBUB</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">Acc</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>LeastSquaresFit</phrase></indexes><rendering item-idref="16" /></region><region region-id="1482" left="42" top="932.25" width="328.5" height="60" align-x="42" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns parameters and their confidence limits for the nonlinear fitting function F for the data vx and vy, for a confidence level conf, with optional standard deviations Stdy and optional lower and upper bounds on acceptable parameter values. Acc is the convergence accuracy. See <b><u><link href="./nonlin.xmcd" title="Links to example" popup="false">Example file</link></u></b><link href="./nonlin.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1044" left="36" top="1002.75" width="84" height="15.75" align-x="77.25" align-y="1014" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">loadings</ml:id><ml:id xml:space="preserve">Nipals</ml:id></ml:apply></math><indexes><phrase>loadings</phrase></indexes><rendering item-idref="17" /></region><region region-id="1481" left="42" top="1022.25" width="342.75" height="24" align-x="42" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the loadings of the principal components (eigenvalues) from multivariate data returned by the Nipals function. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example" popup="false">.</link></p></text><indexes><phrase>loadings of principal components</phrase></indexes></region><region region-id="1050" left="36" top="1062.75" width="91.5" height="15.75" align-x="80.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">localmax</ml:id><ml:sequence><ml:id xml:space="preserve">M</ml:id><ml:parens><ml:id xml:space="preserve">w</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>localmax</phrase></indexes><rendering item-idref="18" /></region><region region-id="1168" left="156" top="1062.75" width="117.75" height="15.75" align-x="200.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">localmax</ml:id><ml:sequence><ml:id xml:space="preserve">x</ml:id><ml:id xml:space="preserve">y</ml:id><ml:id xml:space="preserve">M</ml:id><ml:parens><ml:id xml:space="preserve">w</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>localmax</phrase></indexes><rendering item-idref="19" /></region><region region-id="1480" left="42" top="1082.25" width="336" height="36" align-x="42" align-y="1092" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the local maxima in data by nearest neighbor comparison, with an optional window width w of comparison points. See <b><u><link href="./maxmin.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./maxmin.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="878" left="0" top="1128" width="6000" height="6" align-x="0" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="1054" left="36" top="1140.75" width="88.5" height="15.75" align-x="77.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">localmin</ml:id><ml:sequence><ml:id xml:space="preserve">M</ml:id><ml:parens><ml:id xml:space="preserve">w</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>localmin</phrase></indexes><rendering item-idref="20" /></region><region region-id="1171" left="156" top="1140.75" width="114.75" height="15.75" align-x="197.25" align-y="1152" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">localmin</ml:id><ml:sequence><ml:id xml:space="preserve">x</ml:id><ml:id xml:space="preserve">y</ml:id><ml:id xml:space="preserve">M</ml:id><ml:parens><ml:id xml:space="preserve">w</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>localmax</phrase></indexes><rendering item-idref="21" /></region><region region-id="1479" left="42" top="1160.25" width="328.5" height="36" align-x="42" align-y="1170" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the local minima in data by nearest neighbor comparison, with an optional window width w of comparison points. See <b><u><link href="./maxmin.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./maxmin.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1056" left="36" top="1212.75" width="132.75" height="15.75" align-x="74.25" align-y="1224" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Lookup</ml:id><ml:sequence><ml:id xml:space="preserve">z</ml:id><ml:id xml:space="preserve">A</ml:id><ml:id xml:space="preserve">B</ml:id><ml:id xml:space="preserve">modifier</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Lookup</phrase></indexes><rendering item-idref="22" /></region><region region-id="1478" left="42" top="1232.25" width="327.75" height="24" align-x="42" align-y="1242" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Looks in A for values matched by z according to the boolean modifier. Returns the value(s) of the corresponding elements in B.</p></text></region><region region-id="1477" left="42" top="1256.25" width="93" height="12" align-x="42" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">See <b><u><link href="./matching.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./matching.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1059" left="36" top="1278.75" width="106.5" height="15.75" align-x="86.25" align-y="1290" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">markNaN</ml:id><ml:sequence><ml:id xml:space="preserve">v</ml:id><ml:id xml:space="preserve">vindex</ml:id></ml:sequence></ml:apply></math><indexes><phrase>markNaN</phrase></indexes><rendering item-idref="23" /></region><region region-id="1498" left="42" top="1304.25" width="340.5" height="24" align-x="42" align-y="1314" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Changes each element in data specified by vindex to contain a NaN. See <b><u><link href="./nan.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./nan.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1067" left="36" top="1338.75" width="112.5" height="15.75" align-x="69" align-y="1350" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Match</ml:id><ml:sequence><ml:id xml:space="preserve">z</ml:id><ml:id xml:space="preserve">A</ml:id><ml:id xml:space="preserve">modifier</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Match</phrase></indexes><rendering item-idref="24" /></region><region region-id="1474" left="42" top="1358.25" width="330.75" height="24" align-x="42" align-y="1368" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the indices of entries in A which match z according to the boolean modifier. See <b><u><link href="./matching.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./matching.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1069" left="36" top="1392.75" width="86.25" height="15.75" align-x="90" align-y="1404" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">matchNaN</ml:id><ml:id xml:space="preserve">data</ml:id></ml:apply></math><indexes><phrase>matchNaN</phrase></indexes><rendering item-idref="25" /></region><region region-id="1473" left="42" top="1412.25" width="335.25" height="24" align-x="42" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the index or pair of indexes of the NaN entries in data. See <b><u><link href="./NaN.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./NaN.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1072" left="36" top="1452.75" width="261.75" height="15.75" align-x="68.25" align-y="1464" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Nipals</ml:id><ml:sequence><ml:id xml:space="preserve">DATA</ml:id><ml:id xml:space="preserve">numPC</ml:id><ml:id xml:space="preserve">maxiter</ml:id><ml:str xml:space="preserve">scale/noscale</ml:str><ml:id xml:space="preserve">Acc</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Nipals</phrase></indexes><rendering item-idref="26" /></region><region region-id="1472" left="42" top="1472.25" width="346.5" height="60" align-x="42" align-y="1482" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns scores, loadings, accumulated variance explained, and principal components (eigenvalues) from multivariate data using a maximum of maxiter iterations. Acc specifies the termination accuracy used for eigenvalue generation. Data may be optionally scaled to the standard deviation. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example." popup="false">.</link></p></text></region><region region-id="1075" left="36" top="1542.75" width="144" height="15.75" align-x="74.25" align-y="1554" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Nipals2</ml:id><ml:sequence><ml:id xml:space="preserve">Nipals</ml:id><ml:id xml:space="preserve">numAddPC</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Nipals2</phrase></indexes><rendering item-idref="27" /></region><region region-id="1471" left="42" top="1562.25" width="335.25" height="48" align-x="42" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns scores, loadings, accumulated variance explained, eigenvalues for numPC <f family="Verdana" charset="0"><i><inlineAttr line-through="false"><c val="#000">additional</c></inlineAttr></i></f> principal components (eigenvalues), given the results calculated by <b>Nipals</b>. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1079" left="36" top="1620.75" width="43.5" height="15.75" align-x="63" align-y="1632" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">order</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></math><indexes><phrase>order</phrase></indexes><rendering item-idref="28" /></region><region region-id="1470" left="42" top="1640.25" width="330" height="24" align-x="42" align-y="1650" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the index in which the entries of v occur if sorted, based on the current value of ORIGIN. See <b><u><link href="./sorting.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./sorting.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1081" left="36" top="1674.75" width="113.25" height="15.75" align-x="106.5" align-y="1686" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">PCAeigenvals</ml:id><ml:id xml:space="preserve">Nipals</ml:id></ml:apply></math><indexes><phrase>PCAeigenvals</phrase></indexes><rendering item-idref="29" /></region><region region-id="1469" left="42" top="1694.25" width="343.5" height="24" align-x="42" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the principal components (eigenvalues) from multivariate data returned by the <b>Nipals</b> or <b>Nipals2</b> function. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1083" left="36" top="1728.75" width="108.75" height="15.75" align-x="102" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">PCAvariance</ml:id><ml:id xml:space="preserve">Nipals</ml:id></ml:apply></math><indexes><phrase>PCAvariance</phrase></indexes><rendering item-idref="30" /></region><region region-id="1468" left="42" top="1748.25" width="332.25" height="36" align-x="42" align-y="1758" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the accumulated percentage of variance explained by the calculated principal components (eigenvalues) returned by the <b>Nipals</b> or <b>Nipals2</b> function. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1163" left="0" top="1788" width="6000" height="6" align-x="0" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="1086" left="36" top="1794.75" width="78.75" height="15.75" align-x="85.5" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">percentile</ml:id><ml:sequence><ml:id xml:space="preserve">v</ml:id><ml:id xml:space="preserve">p</ml:id></ml:sequence></ml:apply></math><indexes><phrase>percentile</phrase></indexes><rendering item-idref="31" /></region><region region-id="1467" left="42" top="1814.25" width="312.75" height="24" align-x="42" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the number of values in v below p percent of the total number of points. See <b><u><link href="./location.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./location.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1089" left="36" top="1848.75" width="87.75" height="15.75" align-x="82.5" align-y="1860" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">polycoeff</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id></ml:sequence></ml:apply></math><indexes><phrase>polycoeff</phrase></indexes><rendering item-idref="32" /></region><region region-id="1466" left="42" top="1868.25" width="327.75" height="24" align-x="42" align-y="1878" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the coefficients of the interpolating polynomial function. See <b><u><link href="./polint.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./polint.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1091" left="36" top="1902.75" width="87.75" height="15.75" align-x="69.75" align-y="1914" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">polyint</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">x</ml:id></ml:sequence></ml:apply></math><indexes><phrase>polyint</phrase></indexes><rendering item-idref="33" /></region><region region-id="1465" left="42" top="1922.25" width="328.5" height="24" align-x="42" align-y="1932" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns interpolated value at x using a polynomial function, and the expected error. See <b><u><link href="./polint.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./polint.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1095" left="36" top="1956.75" width="120" height="15.75" align-x="74.25" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">polyiter</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">x</ml:id><ml:id xml:space="preserve">N</ml:id><ml:id xml:space="preserve">ε</ml:id></ml:sequence></ml:apply></math><indexes><phrase>polyiter</phrase></indexes><rendering item-idref="34" /></region><region region-id="1464" left="42" top="1976.25" width="339.75" height="36" align-x="42" align-y="1986" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns interpolated value at x using a polynomial function with maximum order N and maximum error, e. Also returns the calculated error, and whether the function converged. See <b><u><link href="./polint.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./polint.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1100" left="36" top="2022" width="207.75" height="16.5" align-x="51" align-y="2034" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"><region region-id="1101" left="36" top="2022.75" width="31.5" height="15.75" align-x="51" align-y="2034" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:id xml:space="preserve">qqplot</ml:id></math><indexes><phrase>qqplot</phrase></indexes><rendering item-idref="35" /></region><f family="Times New Roman" charset="0" size="12"><b><inlineAttr line-through="false"><c val="#000">(v1,[v2 or "distribution"])</c></inlineAttr></b></f></p></text></region><region region-id="1463" left="42" top="2042.25" width="332.25" height="60" align-x="42" align-y="2052" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns points on a probability plot. If only v1 is specified, quantiles for v1 and the normal distribution are returned. If v2 is specified, quantiles for v1 and v2 are returned. If 'Weibull' is specified, returns natural log quantiles for v1 and the Weibull quantiles. See <b><u><link href="./QQplot.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./QQplot.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1103" left="36" top="2118.75" width="44.25" height="15.75" align-x="63.75" align-y="2130" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Rank</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></math><indexes><phrase>Rank</phrase></indexes><rendering item-idref="36" /></region><region region-id="1462" left="42" top="2138.25" width="331.5" height="24" align-x="42" align-y="2148" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the averaged position at which each value in v appears in a sorted list of the data. See <b><u><link href="./sorting.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./sorting.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1105" left="36" top="2172.75" width="325.5" height="15.75" align-x="84.75" align-y="2184" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">rationalfit</ml:id><ml:sequence><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">conf</ml:id><ml:id xml:space="preserve">m</ml:id><ml:id xml:space="preserve">n</ml:id><ml:parens><ml:id xml:space="preserve">Stdy</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">LBUB</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">Acc</ml:id></ml:parens><ml:parens><ml:str xml:space="preserve">noscale</ml:str></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>rationalfit</phrase></indexes><rendering item-idref="37" /></region><region region-id="1461" left="42" top="2192.25" width="298.5" height="36" align-x="42" align-y="2202" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns parameters and their confidence limits for a rational polynomial fit of order m on the top and n on the bottom. </p><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">See <b><u><link href="./ratfit.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./ratfit.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1107" left="36" top="2244.75" width="337.5" height="15.75" align-x="96.75" align-y="2256" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">rationalfitnp</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">conf</ml:id><ml:id xml:space="preserve">m</ml:id><ml:id xml:space="preserve">n</ml:id><ml:parens><ml:id xml:space="preserve">Stdy</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">LBUB</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">Acc</ml:id></ml:parens><ml:parens><ml:str xml:space="preserve">noscale</ml:str></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>rationalfitnp</phrase></indexes><rendering item-idref="38" /></region><region region-id="1460" left="42" top="2264.25" width="336.75" height="24" align-x="42" align-y="2274" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Same as <b>rationalfit</b>, but can return rational function parameters that have no poles in the data range, vx. See <b><u><link href="./ratfit.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./ratfit.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1109" left="36" top="2298.75" width="105" height="15.75" align-x="87" align-y="2310" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">rationalint</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">x</ml:id></ml:sequence></ml:apply></math><indexes><phrase>rationalint</phrase></indexes><rendering item-idref="39" /></region><region region-id="1459" left="42" top="2318.25" width="318.75" height="24" align-x="42" align-y="2328" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns interpolated value at x using rational functions, and the expected error. See <b><u><link href="./ratint.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./ratint.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1112" left="36" top="2358.75" width="102" height="15.75" align-x="63" align-y="2370" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Scale</ml:id><ml:sequence><ml:id xml:space="preserve">M</ml:id><ml:id xml:space="preserve">min</ml:id><ml:id xml:space="preserve">max</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Scale</phrase></indexes><rendering item-idref="40" /></region><region region-id="1458" left="42" top="2378.25" width="318" height="12" align-x="42" align-y="2388" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Scales all values in M between min and max. See <b><u><link href="./scale.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./scale.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1164" left="0" top="2394" width="6000" height="6" align-x="0" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="1114" left="36" top="2400.75" width="75" height="15.75" align-x="68.25" align-y="2412" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">scores</ml:id><ml:id xml:space="preserve">Nipals</ml:id></ml:apply></math><indexes><phrase>scores</phrase></indexes><rendering item-idref="41" /></region><region region-id="1457" left="42" top="2420.25" width="331.5" height="36" align-x="42" align-y="2430" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the scores of the principal components (eigenvalues) from multivariate data returned by the Nipals or Nipals2 function. See <b><u><link href="./PCA.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./PCA.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1116" left="36" top="2466.75" width="70.5" height="15.75" align-x="65.25" align-y="2478" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Spear</ml:id><ml:sequence><ml:id xml:space="preserve">v1</ml:id><ml:id xml:space="preserve">v2</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Spear</phrase></indexes><rendering item-idref="42" /></region><region region-id="1456" left="42" top="2486.25" width="313.5" height="24" align-x="42" align-y="2496" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns Spearman's rank correlation coefficient and associated statistics. See <b><u><link href="./association.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./association.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1120" left="36" top="2520.75" width="182.25" height="15.75" align-x="72.75" align-y="2532" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Spline2</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id><ml:id xml:space="preserve">n</ml:id><ml:parens><ml:id xml:space="preserve">vw</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">u</ml:id></ml:parens><ml:parens><ml:id xml:space="preserve">level</ml:id></ml:parens></ml:sequence></ml:apply></math><indexes><phrase>Spline2</phrase></indexes><rendering item-idref="43" /></region><region region-id="1455" left="42" top="2540.25" width="336" height="48" align-x="42" align-y="2550" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns the optimal set of degree-n B-spline knots to interpolate on data vx and vy, with optional weights vw, optional desired knots u, and an optional reject level. Output is used with <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Binterp</c></inlineAttr></b></f>. See <b><u><link href="./statspline.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./statspline.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1138" left="36" top="2598.75" width="99" height="15.75" align-x="67.5" align-y="2610" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Thiele</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">coeff</ml:id><ml:id xml:space="preserve">x</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Thiele</phrase></indexes><rendering item-idref="44" /></region><region region-id="1454" left="42" top="2618.25" width="329.25" height="36" align-x="42" align-y="2628" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Returns the interpolated data value at x using Thiele continued fraction interpolation. Requires the coefficients calculated by <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Thielecoeff</c></inlineAttr></b></f>. See <b><u><link href="./thiele.xmcd" title="Links to section" popup="false">Example file</link></u></b>.</p></text></region><region region-id="1149" left="36" top="2664.75" width="98.25" height="15.75" align-x="93" align-y="2676" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">Thielecoeff</ml:id><ml:sequence><ml:id xml:space="preserve">vx</ml:id><ml:id xml:space="preserve">vy</ml:id></ml:sequence></ml:apply></math><indexes><phrase>Thielecoeff</phrase></indexes><rendering item-idref="45" /></region><region region-id="1453" left="42" top="2684.25" width="329.25" height="36" align-x="42" align-y="2694" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="0" text-align="inherit" list-style-type="none" tabs="inherit">Returns the interpolation coefficients for x-y data using Thiele continued fraction interpolation. Output is used with <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Thiele</c></inlineAttr></b></f>. See <b><u><link href="./thiele.xmcd" title="Links to section" popup="false">Example file</link></u></b>.</p></text></region><region region-id="1123" left="36" top="2730.75" width="77.25" height="15.75" align-x="96.75" align-y="2742" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">ThreeSigma</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></math><indexes><phrase>ThreeSigma</phrase></indexes><rendering item-idref="46" /></region><region region-id="1452" left="42" top="2750.25" width="330.75" height="36" align-x="42" align-y="2760" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Returns indices of points in v whose mean divided by standard deviation is greater than three (outlier test), and the value of this quantity for each point. See <b><u><link href="./outlier.xmcd" title="Links to section" popup="false">Example file</link></u></b><link href="./outlier.xmcd" title="Links to example" popup="false">.</link></p></text></region><region region-id="1125" left="36" top="2796.75" width="76.5" height="15.75" align-x="56.25" align-y="2808" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:apply><ml:id xml:space="preserve">trim</ml:id><ml:sequence><ml:id xml:space="preserve">v</ml:id><ml:id xml:space="preserve">vindex</ml:id></ml:sequence></ml:apply></math><indexes><phrase>trim</phrase></indexes><rendering item-idref="47" /></region><region region-id="1451" left="42" top="2810.25" width="339" height="12" align-x="42" align-y="2820" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Trims out the entries (rows) specified by vindex. 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