Monotonic Weighted Power Transformations to Additivity
- 1 March 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 42 (1) , 83-109
- https://doi.org/10.1007/bf02293747
Abstract
A class of monotonic transformations which generalize the power transformation is fit to the independent and dependent variables in multiple regression so that the resulting additive relationship is optimized. This is achieved by minimizing a quadratic fitting criterion with linear inequality constraints on the parameters. A quadratic programming technique which works reliably and quickly in this application is outlined. Some examples of the analysis of artificial and real data are offered.Keywords
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