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It is usual to rely on the quasi-likelihood methods for deriving statisticalmethods applied to clustered multinomial data with no underlying distribution.Even though extensive literature can be encountered for these kind of datasets, there are few investigations to deal with unequal cluster sizes. Thispaper aims to contribute to fill this gap by proposing new estimators for theintracluster correlation coefficient.

New improved estimators for overdispersion in models with clustered multinomial data and unequal cluster sizes