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Edmund R. Malinowski Determination of rank by augmentation (DRAUG) Journal of Chemometrics 25

Article first published online: 30 MAR 2011 | DOI: 10.1002/cem.1377

The primary rank of a data matrix can be determined by comparing the residual variances obtained from principal component analysis of the data matrix to those obtained from an augmentated matrix. The augmented matrix is generated by adding a unit rank matrix to the original data matrix. The ratio of the residual variances between adjacent factor levels represents a Fisher ratio that can be used to determine the primary rank of the original data matrix.

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