Order-restricted Dose-related Trend Phi-divergence Tests for Generalized Linear Models |
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Authors: | A Felipe M L Menéndez L Pardo |
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Institution: | 1. Department of Statistics and OR , Complutense University of Madrid , Spain;2. Department of Applied Mathematics , ETSAM, Polytechnical University of Madrid , Spain |
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Abstract: | In this paper a new family of test statistics is presented for testing the independence between the binary response Y and an ordered categorical explanatory variable X (doses) against the alternative hypothesis of an increase dose-response relationship between a response variable Y and X (doses). The properties of these test statistics are studied. This new family of test statistics is based on the family of φ-divergence measures and contains as a particular case the likelihood ratio test. We pay special attention to the family of test statistics associated with the power divergence family. A simulation study is included in order to analyze the behavior of the power divergence family of test statistics. |
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Keywords: | Phi-divergence test statistic isotonic regression response variable explanatory variable |
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