Small-sample estimation of negative binomial dispersion, with applications to SAGE data

Small-sample estimation of negative binomial dispersion, with applications to SAGE data
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DOI:
10.1093/biostatistics/kxm030
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发表时间:
2008-04-01
期刊:
影响因子:
2.1
通讯作者:
Smyth, Gordon K.
Smyth, Gordon K.
中科院分区:
数学2区
文献类型:
--
作者:
Robinson, Mark D.;Smyth, Gordon K.

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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.