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 language | English (US) |
---|---|
Pages (from-to) | 1235-1249 |
Number of pages | 15 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 15 |
Issue number | 4 |
DOIs | |
State | Published - Jan 1 1986 |
Keywords
- Asymptotic
- cluster sampling
- goodness-of-fit
- regression
ASJC Scopus subject areas
- Statistics and Probability