<?xml version="1.0" encoding="UTF-8"?>
<FUNCTIONS>
	<help_file>help_%s\daep\daep.htm</help_file>
	<function>
		<name>Bicubic2D</name>
		<local_name>Bicubic2D</local_name>
		<params>vx, vy, Z, p, q</params>
		<category>Data Analysis</category>
		<description>Interpolates between 2-D values in Z, with locations in vx and vy, at intermediate point (p, q).</description>
		<help_topic>Interpolation.htm#bicubic2D</help_topic>
	</function>
	<function>
		<name>Binterp</name>
		<local_name>Binterp</local_name>
		<params>x, b</params>
		<category>Data Analysis</category>
		<description>Interpolates results b from Spline2 (b) at point x, along with the first, second, and third derivatives.</description>
		<help_topic>Interpolation.htm#Binterp</help_topic>
	</function>
	<function>
		<name>confidence</name>
		<local_name>confidence</local_name>
		<params>vx, vy, F, b, conf</params>
		<category>Data Analysis</category>
		<description>Returns the confidence limits on the parameters b of a fitting function F(x,b) fit to the data vx and vy.</description>
		<help_topic>Regression.htm#confidence</help_topic>
	</function>
	<function>
		<name>contingtbl</name>
		<local_name>contingtbl</local_name>
		<params>M</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Statistics.htm#contingtbl</help_topic>
	</function>
	<function>
		<name>DWS</name>
		<local_name>DWS</local_name>
		<params>b</params>
		<category>Data Analysis</category>
		<description>Returns the Durbin-Watson statistic for the result vector, b, of the Spline2 function.</description>
		<help_topic>Interpolation.htm#DWS</help_topic>
	</function>
	<function>
		<name>filterNaN</name>
		<local_name>filterNaN</local_name>
		<params>v</params>
		<category>Data Analysis</category>
		<description>Removes the rows of the data set, v, that have NaNs.</description>
		<help_topic>Preconditioning.htm#filterNaN</help_topic>
	</function>
	<function>
		<name>Ftest</name>
		<local_name>Ftest</local_name>
		<params>v1, v2</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Statistics.htm#Ftest</help_topic>
	</function>
	<function>
		<name>Grubbs</name>
		<local_name>Grubbs</local_name>
		<params>v, a</params>
		<category>Data Analysis</category>
		<description>Returns indices of suspected outliers, and their Grubbs test statistics for a confidence level a.</description>
		<help_topic>Preconditioning.htm#Grubbs</help_topic>
	</function>
	<function>
		<name>GrubbsClassic</name>
		<local_name>GrubbsClassic</local_name>
		<params>v, a</params>
		<category>Data Analysis</category>
		<description>Returns index of the data point most likely to be an outlier, and its Grubbs test statistic for a confidence level a.</description>
		<help_topic>Preconditioning.htm#GrubbsClassic</help_topic>
	</function>
	<function>
		<name>Hlookup</name>
		<local_name>Hlookup</local_name>
		<params>z, A, r,"modifier"</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Utilities.htm#Hlookup</help_topic>
	</function>
	<function>
		<name>kendltau</name>
		<local_name>kendltau</local_name>
		<params>v1, v2</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Statistics.htm#kendltau</help_topic>
	</function>
	<function>
		<name>kendltau2</name>
		<local_name>kendltau2</local_name>
		<params>M</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Statistics.htm#kendltau2</help_topic>
	</function>
	<function>
		<name>LeastSquaresFit</name>
		<local_name>LeastSquaresFit</local_name>
		<params>vx, vy, F, guess, conf, [Stdy], [LBUB],[Acc]</params>
		<category>Data Analysis</category>
		<description>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 to accuracy Acc.</description>
		<help_topic>Regression.htm#LeastSquares</help_topic>
	</function>
	<function>
		<name>loadings</name>
		<local_name>loadings</local_name>
		<params>nipals</params>
		<category>Data Analysis</category>
		<description>Returns the loadings of the principal components (eigenvalues) from multivariate data returned by the nipals function.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>localmax</name>
		<local_name>localmax</local_name>
		<params>data, [w]</params>
		<category>Data Analysis</category>
		<description>Returns the local maxima in data by nearest neighbor comparison, with an optional window width w of comparison points.</description>
		<help_topic>Utilities.htm#localmax</help_topic>
	</function>
	<function>
		<name>localmin</name>
		<local_name>localmin</local_name>
		<params>data, [w]</params>
		<category>Data Analysis</category>
		<description>Returns the local minima in data by nearest neighbor comparison, with an optional window width w of comparison points.</description>
		<help_topic>Utilities.htm#localmin</help_topic>
	</function>
	<function>
		<name>Lookup</name>
		<local_name>Lookup</local_name>
		<params>z, A, B, modifier</params>
		<category>Data Analysis</category>
		<description>Looks in the matrix A for values matched by z according to the boolean modifier. Returns the value(s) in the same position(s) in matrix B. 
</description>
		<help_topic>Utilities.htm#Lookup</help_topic>
	</function>
	<function>
		<name>markNaN</name>
		<local_name>markNaN</local_name>
		<params>data, vindex</params>
		<category>Data Analysis</category>
		<description>Changes each element in data specified by vindex to contain a NaN.</description>
		<help_topic>Preconditioning.htm#markNaN</help_topic>
	</function>
	<function>
		<name>matchNaN</name>
		<local_name>matchNaN</local_name>
		<params>data</params>
		<category>Data Analysis</category>
		<description>Returns the index or pair of indexes of the NaN entries in data.</description>
		<help_topic>Preconditioning.htm#matchNaN</help_topic>
	</function>
	<function>
		<name>Match</name>
		<local_name>Match</local_name>
		<params>z, A, "modifier"</params>
		<category>Data Analysis</category>
		<description>Returns the indices of entries in A which match z according to the boolean modifier.</description>
		<help_topic>Utilities.htm#Match</help_topic>
	</function>
	<function>
		<name>Nipals</name>
		<local_name>Nipals</local_name>
		<params>Data, numPC, maxiter, ["scale"]</params>
		<category>Data Analysis</category>
		<description>Returns numPC principal components (eigenvalues), loadings, scores, and accumulated variance explained by each PC from multivariate data using a maximum of maxiter iterations. TOL specifies the termination accuracy used for eigenvalue generation. Data may be optionally scaled to the standard deviation.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>Nipals2</name>
		<local_name>Nipals2</local_name>
		<params>nipals, numPC</params>
		<category>Data Analysis</category>
		<description>Returns numPC additional principal components (eigenvalues), loadings, scores, and accumulated variance explained by each PC given the results calculated by Nipals.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>order</name>
		<local_name>order</local_name>
		<params>v</params>
		<category>Data Analysis</category>
		<description>Returns the index in which the entries of v occur if sorted, based on the current value of ORIGIN.</description>
		<help_topic>Statistics.htm#order</help_topic>
	</function>
	<function>
		<name>PCAeigenvals</name>
		<local_name>PCAeigenvals</local_name>
		<params>nipals</params>
		<category>Data Analysis</category>
		<description>Returns the principal components (eigenvalues) from multivariate data returned by the nipals function.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>PCAvariance</name>
		<local_name>PCAvariance</local_name>
		<params>nipals</params>
		<category>Data Analysis</category>
		<description>Returns the accumulated percentage of variance explained by the calculated principal components (eigenvalues) returned by the nipals function.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>percentile</name>
		<local_name>percentile</local_name>
		<params>v, p</params>
		<category>Data Analysis</category>
		<description>Returns the number of values in v below p percent of the total number of points.</description>
		<help_topic>Statistics.htm#percentile</help_topic>
	</function>
	<function>
		<name>polycoeff</name>
		<local_name>polycoeff</local_name>
		<params>vx, vy</params>
		<category>Data Analysis</category>
		<description>Returns the coefficients of the interpolating polynomial function.</description>
		<help_topic>Interpolation.htm#polycoeff</help_topic>
	</function>
	<function>
		<name>polyint</name>
		<local_name>polyint</local_name>
		<params>vx, vy, x</params>
		<category>Data Analysis</category>
		<description>Returns interpolated value at x using a polynomial function, and the expected error.</description>
		<help_topic>Interpolation.htm#polyint</help_topic>
	</function>
	<function>
		<name>polyiter</name>
		<local_name>polyiter</local_name>
		<params>vx, vy, x, N, e</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Interpolation.htm#polyiter</help_topic>
	</function>
	<function>
		<name>qqplot</name>
		<local_name>qqplot</local_name>
		<params>v1, [v2 or "distrib"]</params>
		<category>Data Analysis</category>
		<description>Returns points on a probability plot. If only v1 is specified, quantiles for v1 and the normal distribution are returned. If v2 is specifed, quantiles for v1 and v2 are returned. If 'weibull' is specified, returns natural log quantiles for v1 and the weibull quantiles.</description>
		<help_topic>Statistics.htm#qqplot</help_topic>
	</function>
	<function>
		<name>Rank</name>
		<local_name>Rank</local_name>
		<params>v</params>
		<category>Data Analysis</category>
		<description>Returns the averaged position at which each value in v appears in a sorted list of the data.</description>
		<help_topic>Statistics.htm#Rank</help_topic>
	</function>
	<function>
		<name>rationalfit</name>
		<local_name>rationalfit</local_name>
		<params>vx, vy, conf, [m, n], [resid], [Stdy], [LBUB]</params>
		<category>Data Analysis</category>
		<description>Returns parameters and their confidence limits for a rational polynomial fit of order m and n on the top and bottom, or an allowable residual chi-squared, if the function should determine the optimal order. Confidence level conf is achieved, with optional standard deviations Stdy and optional lower and upper bounds on acceptable parameter values.</description>
		<help_topic>Regression.htm#rationalfit</help_topic>
	</function>
	<function>
		<name>rationalfitnp</name>
		<local_name>rationalfitnp</local_name>
		<params>vx, vy, conf, [m, n], [resid], [Stdy], [LBUB]</params>
		<category>Data Analysis</category>
		<description>Returns parameters and their confidence limits for a rational polynomial fit of order m and n on the top and bottom, or an allowable residual chi-squared, if the function should determine the optimal order. Confidence level conf is achieved, with optional standard deviations Stdy and optional lower and upper bounds on acceptable parameter values.</description>
		<help_topic>Regression.htm#rationalfitnp</help_topic>
	</function>
	<function>
		<name>rationalint</name>
		<local_name>rationalint</local_name>
		<params>vx, vy, x</params>
		<category>Data Analysis</category>
		<description>Returns interpolated value at x using rational functions, and the expected error.</description>
		<help_topic>Interpolation.htm#rationalint</help_topic>
	</function>
	<function>
		<name>Scale</name>
		<local_name>Scale</local_name>
		<params>M, min, max</params>
		<category>Data Analysis</category>
		<description>Scales all values in M between min and max.</description>
		<help_topic>Preconditioning.htm#Scale</help_topic>
	</function>
	<function>
		<name>scores</name>
		<local_name>scores</local_name>
		<params>nipals</params>
		<category>Data Analysis</category>
		<description>Returns the scores of the principal components (eigenvalues) from multivariate data returned by the nipals function.</description>
		<help_topic>PCA.htm</help_topic>
	</function>
	<function>
		<name>Spear</name>
		<local_name>Spear</local_name>
		<params>v1, v2</params>
		<category>Data Analysis</category>
		<description>Returns Spearman's rank correlation coefficient, and associated statistics.</description>
		<help_topic>Statistics.htm#Spear</help_topic>
	</function>
	<function>
		<name>Spline2</name>
		<local_name>Spline2</local_name>
		<params>vx, vy, n, [vw], [u], [level]</params>
		<category>Data Analysis</category>
		<description>Returns the optimal set of order-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 Binterp.</description>
		<help_topic>Interpolation.htm#Spline2</help_topic>
	</function>
	<function>
		<name>Thiele</name>
		<local_name>Thiele</local_name>
		<params>vx, coeff, x</params>
		<category>Data Analysis</category>
		<description>Returns the interpolated y value for the real scalar x, using the data points in vx and the coefficients returned by Thielecoeff.</description>
		<help_topic>Interpolation.htm#Thiele</help_topic>
	</function>
	<function>
		<name>Thielecoeff</name>
		<local_name>Thielecoeff</local_name>
		<params>vx,vy</params>
		<category>Data Analysis</category>
		<description>Returns the continued fraction coefficients of the vectors vx and vy.</description>
		<help_topic>Interpolation.htm#Thielecoeff</help_topic>
	</function>
	<function>
		<name>ThreeSigma</name>
		<local_name>ThreeSigma</local_name>
		<params>v</params>
		<category>Data Analysis</category>
		<description>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.</description>
		<help_topic>Preconditioning.htm#3Sigma</help_topic>
	</function>
	<function>
		<name>trim</name>
		<local_name>trim</local_name>
		<params>vdata, vindex</params>
		<category>Data Analysis</category>
		<description>Trims out the entries (rows) specified by vindex.</description>
		<help_topic>Preconditioning.htm#Trim</help_topic>
	</function>
	<function>
		<name>Vlookup</name>
		<local_name>Vlookup</local_name>
		<params>z, A, c, "modifier"</params>
		<category>Data Analysis</category>
		<description>Looks in the first column of a matrix, A, for values matched by z according to the boolean modifier. Returns the value(s) in the matched row(s) in column c. When multiple values are returned, they appear in a vector.</description>
		<help_topic>Utilities.htm#Vlookup</help_topic>
	</function>
	<function>
		<name>VHlookup</name>
		<local_name>VHlookup</local_name>
		<params>z1, z2, A, "modifier"</params>
		<category>Data Analysis</category>
		<description>Looks in the first column and row of A for values matched by z1 and z2 according to the boolean modifier. Returns the value(s) in the intersection of matched rows and columns.</description>
		<help_topic>Utilities.htm#VHlookup</help_topic>
	</function>
	<function>
		<name>vhlookup</name>
		<local_name>vhlookup</local_name>
		<params>z1, z2, A</params>
		<category>Data Analysis</category>
		<description>Looks in the first column and row of A for values matched by z1 and z2, respectively. Returns the value(s) in the intersection of matched rows and columns.</description>
		<help_topic>Utilities.htm#littlevhlookup</help_topic>
	</function>
	<function>
		<name>VSmooth</name>
		<local_name>VSmooth</local_name>
		<params>v, w</params>
		<category>Data Analysis</category>
		<description>Repeatedly median smoothes v until no additional change has occurred for each window width in w.</description>
		<help_topic>Preconditioning.htm#Vsmooth</help_topic>
	</function>
</FUNCTIONS>
