Analysis of One-Way Layout of Count Data with Negative Binomial Variation
针对存在共同离散参数的计数数据，推导了两种C(α)统计量来检验多组均值是否相等，并通过蒙特卡洛模拟比较了其与似然比统计量等方法的性能，推荐使用C(α)统计量。
Two C(α) statistics (Neyman, 1959) for testing the equality of the means of several groups of count data in the presence of a common dispersion parameter are derived. The performance of the two C(α) statistics, the likelihood ratio statistic and two more statistics based on transformed data (Anscombe, 1948) is then compared in terms of size and power by using Monte Carlo simulations. The C(α) statistics are recommended. The C(α) statistics for testing the equality of the dispersion parameters of several groups of count data are also derived. Two applications are given.