English

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

Methodology 2016-09-26 v1

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.

Keywords

Cite

@article{arxiv.1609.07330,
  title  = {Semiparametric clustered overdispersed multinomial goodness-of-fit of log-linear models},
  author = {Juana M. Alonso-Revenga and Nirian Martin and Leandro Pardo},
  journal= {arXiv preprint arXiv:1609.07330},
  year   = {2016}
}