On Rao Score and Pearson X2 Statistics in Generalized Linear Models

Gianfranco Lovison, Gianfranco Lovison

Risultato della ricerca: Articlepeer review

12 Citazioni (Scopus)

Abstract

The identity of the Rao score and Pearson X^2 statistics is well known in the areas where the latter was first introduced: goodness-of-fit in contingency tables and binary responses. We show in this paper that the same identity holdswhen the two statistics are used for testing goodness-of-fit of Generalized Linear Models. We also highlight the connections that exist between the two statistics when they are used for the comparison of nested models. Finally, we discuss some merits of these unifying results.
Lingua originaleEnglish
pagine (da-a)555-574
Numero di pagine20
RivistaStatistical Papers
Volume46
Stato di pubblicazionePublished - 2005

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.1800.1804???

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