Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2277

 Title: Parameterized Link Functions in Generalized Linear Random Effect Models: a Case Study on Breast Cancer Treatment Authors: Gregori, DarioRosato, RosalbaCiccone, GiovanninoLusa, Lara Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Pliska Studia Mathematica Bulgarica, Vol. 17, No 1, (2005), 97p-107p Abstract: In non-linear random effects some attention has been very recently devoted to the analysis ofsuitable transformation of the response variables separately (Taylor 1996) or not (Oberg and Davidian 2000) from the transformations of the covariates and, as far as we know, no investigation has been carried out on the choice of link function in such models. In our study we consider the use of a random effect model when a parameterized family of links (Aranda-Ordaz 1981, Prentice 1996, Pregibon 1980, Stukel 1988 and Czado 1997) is introduced. We point out the advantages and the drawbacks associated with the choice of this data-driven kind of modeling. Difficulties in the interpretation of regression parameters, and therefore in understanding the influence of covariates, as well as problems related to loss of efficiency of estimates and overfitting, are discussed. A case study on radiotherapy usage in breast cancer treatment is discussed. URI: http://hdl.handle.net/10525/2277 ISSN: 0204-9805 Appears in Collections: 2005 Volume 17

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