### Impacto

Felipe Ortega, Ángel and Menéndez Calleja, María Luisa and Pardo Llorente, Leandro
(2007)
*Order-Restricted Dose-Related Trend Phi-Divergence Tests For Generalized Linear Models.*
Journal of Applied Statistics, 34
(5).
pp. 611-623.
ISSN 0266-4763

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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

Item Type: | Article |
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Uncontrolled Keywords: | Phi-Divergence Test Statistic; Isotonic Regression; Response Variable; Explanatory Variable;Statistics & Probability |

Subjects: | Sciences > Mathematics > Mathematical statistics |

ID Code: | 15142 |

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Deposited On: | 09 May 2012 10:50 |

Last Modified: | 06 Feb 2014 10:17 |

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