Order-restricted Dose-related Trend Phi-divergence Tests for Generalized Linear Models

A. Felipe, M. L. Menéndez and L. Pardo

Journal of Applied Statistics, 2007, vol. 34, issue 5, pages 611-623

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.

Keywords: Phi-divergence test statistic; isotonic regression; response variable; explanatory variable (search for similar items in EconPapers)

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