Small-sample estimation of negative binomial dispersion, with applications to SAGE data
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- 11 July 2007
- journal article
- Published by Oxford University Press (OUP) in Biostatistics
- Vol. 9 (2) , 321-332
- https://doi.org/10.1093/biostatistics/kxm030
Abstract
We derive a quantile-adjusted conditional maximum likelihood estimator for the dispersion parameter of the negative binomial distribution and compare its performance, in terms of bias, to various other methods. Our estimation scheme outperforms all other methods in very small samples, typical of those from serial analysis of gene expression studies, the motivating data for this study. The impact of dispersion estimation on hypothesis testing is studied. We derive an "exact" test that outperforms the standard approximate asymptotic tests.Keywords
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