Approximate distribution and test of fit for the clustering effect in the dirichlet multinomial model

Jeffrey Wilson, Jeffrey R. Wilson

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

The Dirichlet-multinomial model is considered as a model for cluster sampling. The model assumes that the design's covariance matrix is a constant times the covariance under multinomial sampling. The use of this model requires estimating a parameter C, that measures the clustering effect. In this paper, a regression estimate for C is obtained. An approximate distribution of this estimator is obtained through the use of asymptotic techniques. A goodness of fit statistic for testing the fit of the Dirichlet Multinomial model is also obtained, based on those asymptotic techniques. These statistics provide a means of knowing when the data satisfy the model assumption. These results are used to analyze data concerning the authorship of Greek prose.

Original languageEnglish (US)
Pages (from-to)1235-1249
Number of pages15
JournalCommunications in Statistics - Theory and Methods
Volume15
Issue number4
DOIs
StatePublished - Jan 1 1986

Keywords

  • Asymptotic
  • cluster sampling
  • goodness-of-fit
  • regression

ASJC Scopus subject areas

  • Statistics and Probability

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