Tconcalc

Purpose

Calculate Hotelling's T² contributions for predictions on orthogonal models. If the input (model) is a PCA model structure then p = model.loads{2} and the output contributions (tcon) and T² (tsqs) are calculated for a row vector x [e.g., a row of input (newx)] as

    tcon = x*p*sqrt(inv(s))*p';
    tsqs = tcon*tcon';

Synopsis

[tcon,tsqs] = tconcalc(newx,model)

[tcon,tsqs] = tconcalc(pred,model)

[tcon,tsqs] = tconcalc(model)

[tcon,tsqs] = tconcalc(newx,p,ssq)

Description

Inputs are the new data newx and the 2-way PCA or regression model for which T² contributions should be calculated model. Alternatively, the prediction structure pred calculated with new data can be used in place of the new data itself or both can be omitted (passing model only) to get T² contributions for the calibration data.

See Also

datahat, pca, pcr, pls, qconcalc