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Order-restricted Dose-related Trend Phi-divergence Tests for Generalized Linear Models
A Felipe1, M L Menéndez2, L Pardo1
1Department of Statistics and OR, Complutense University of Madrid, Spain.
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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