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arXiv · 1609.07330

Semiparametric clustered overdispersed multinomial goodness-of-fit of log-linear models

Juana M. Alonso-Revenga·Nirian Martin·Leandro Pardo
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Abstract

Traditionally, the Dirichlet-multinomial distribution has been recognized as a key model for contingency tables generated by cluster sampling schemes. There are, however, other possible distributions appropriate for these contingency tables. This paper introduces new test-statistics capable to test log-linear modeling hypotheses with no distributional specification, when the individuals of the clusters are possibly homogeneously correlated. The estimator for the intracluster correlation coefficient proposed in Alonso-Revenga et al. (2016), valid for different cluster sizes, plays a crucial role in the construction of the goodness-of-fit test-statistic.

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Juana M. Alonso-Revenga, Nirian Martin, Leandro Pardo. 2016-09-23. Semiparametric clustered overdispersed multinomial goodness-of-fit of log-linear models. https://arxiv.org/abs/1609.07330

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