String x and Tsqqmtx: Difference between pages

Revision as of 14:15, 10 October 2008

Calculates matrix for T^2+Q contributions for PCA and MPCA.

[tsqqmat,tsqqs] = tsqqmtx(x,model,wt)

wt = {sqrt((M-K-1)/(M-1))}, 0<=wt<=1 scalar weighting for contributions 0<wt<1 gives combined T^2 and Q statistics where M is the number of calibration samples and K is the number of PCs.

wt = 1 gives T^2 and T^2 contributions

wt = 0 gives standarized Q residuals

tsqqs(i) = tsqqmat(i,:)*tsqqmat(i,:)';

@@ Line 1: / Line 1: @@
 ===Purpose===
-Add backslash before troublesome TeX characters.
+Calculates matrix for T^2+Q contributions for PCA and MPCA.
 ===Synopsis===
-:safestring = string_x(string);
+:[tsqqmat,tsqqs] = tsqqmtx(x,model,wt)
 ===Description===
-The TeX interpreter is used on various text objects in figures to add subscripts, superscripts and other special effects to text. These effects are triggered by special characters in strings. string_x "escapes" these special characters to keep them from being handled by the TeX interpreter.  An escaping backslash is added before each of these characters: _ ^ { }
+====Inputs====
+* '''x''' = data matrix [class double or dataset]
+* '''model''' = PCA or MPCA model standard model struture (see PCA).
+====Optional Inputs====
+* '''wt''' = {sqrt((M-K-1)/(M-1))}, 0<=wt<=1 scalar weighting for contributions 0<wt<1 gives combined T^2 and Q statistics where M is the number of calibration samples and K is the number of PCs.
+::wt = 1 gives T^2 and T^2 contributions
+::wt = 0 gives standarized Q residuals
-====Inputs====
-* '''string''' = a string to clean
 ====Outputs====
-* '''safestring''' = the backslashed string
+* '''tsqqs''' = combined Hotelling's T^2 + Q residual
+* '''tsqqmat''' = matrix of individual variable contributions such that
+::<tt>tsqqs(i) = tsqqmat(i,:)*tsqqmat(i,:)';</tt>
+===See Also===
-===See Also===
+[[datahat]], [[pca]], [[pcr]], [[pls]], [[tsqmtx]]