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Regression analysis with compositional data containing zero values

Tsagris, Michail (2015): Regression analysis with compositional data containing zero values. Published in: Chilean Journal of Statistics , Vol. 6, No. 2 (8 September 2015): pp. 47-57.

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Abstract

Regression analysis, for prediction purposes, with compositional data is the subject of this paper. We examine both cases when compositional data are either response or predictor variables. A parametric model is assumed but the interest lies in the accuracy of the predicted values. For this reason, a data based power transformation is employed in both cases and the results are compared with the standard log-ratio approach. There are some interesting results and one advantage of the methods proposed here is the handling of the zero values.

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