A serial extension of multiblock PLS

A novel multiblock PLS algorithm called S‐PLS (serial PLS) is presented. S‐PLS models the separate predictor blocks serially, making it a supplement to hierarchical PLS. In the S‐PLS algorithm the predictor blocks are connected only via the response Y. The block models are calculated using the Y residuals from the previous block model. This allows for an independent interpretation of the separate block models. In each block model the classical PLS algorithm is used. The principles of S‐PLS are demonstrated on two chemical applications. In the first example, which is non‐linear, S‐PLS makes it possible to separate the linear and non‐linear parts in the model. The second example illustrates how a model with two predictor blocks can be analysed with S‐PLS. Copyright © 1999 John Wiley & Sons, Ltd.

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