Paul S R, Liang K Y, Self S G
Department of Mathematics and Statistics, University of Windsor, Ontario, Canada.
Biometrics. 1989 Mar;45(1):231-6.
This paper is concerned with testing the multinomial (binomial) assumption against the Dirichlet-multinomial (beta-binomial) alternatives. In particular, we discuss the distribution of the asymptotic likelihood ratio (LR) test and obtain the C(alpha) goodness-of-fit test statistic. The inadequacy of the regular chi-square approximation to the LR test is supported by some Monte Carlo experiments. The C(alpha) test is recommended based on empirical significance level and power and also computational simplicity. Two examples are given.
本文关注针对狄利克雷多项分布（贝塔二项分布）备择假设检验多项分布（二项分布）假设。特别地，我们讨论了渐近似然比（LR）检验的分布，并得到了C(α)拟合优度检验统计量。一些蒙特卡罗实验表明，常规卡方近似对于LR检验并不适用。基于经验显著性水平、功效以及计算简便性，推荐使用C(α)检验。文中给出了两个例子。
