Order-Restricted Dose-Related Trend Phi-Divergence Tests For Generalized Linear Models

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