Rogatko André, Slifker Michael J, Babb James S
Department of Biostatistics, Fox Chase Cancer Center, 7701 Burholme Avenue, Philadelphia, PA 19111, USA.
Theor Popul Biol. 2002 Nov;62(3):251-7. doi: 10.1006/tpbi.2002.1613.
We propose two diagnostics for the statistical assessment of Hardy-Weinberg equilibrium. One diagnostic is the posterior probability of the complement of the smallest highest posterior density credible region that includes points in the parameter space consistent with the hypothesis of equilibrium. The null hypothesis of equilibrium is to be rejected if this probability is less than a pre-selected critical level. The second diagnostic is the proportion of the parameter space occupied by the highest posterior density credible region associated with the critical level. These Bayesian diagnostics can be interpreted as analogues of the classical types I and II error probabilities. They are broadly applicable: they can be computed for any hypothesis test, using samples of any size generated according to any distribution.
我们提出了两种用于哈迪-温伯格平衡统计评估的诊断方法。一种诊断方法是最小最高后验密度可信区域的补集的后验概率，该可信区域包含参数空间中与平衡假设一致的点。如果此概率小于预先选定的临界水平，则应拒绝平衡的原假设。第二种诊断方法是与临界水平相关的最高后验密度可信区域所占据的参数空间比例。这些贝叶斯诊断方法可解释为经典的I型和II型错误概率的类似物。它们具有广泛的适用性：可以针对任何假设检验进行计算，使用根据任何分布生成的任何大小的样本。
