标题： 新的哈迪-温伯格平衡和多个等位基因的等价检验 显示英文标题

标题： New Equivalence Tests for Hardy-Weinberg Equilibrium and Multiple Alleles

摘要： 我们考虑在多个等位基因的情况下检验与哈迪-温伯格平衡的等价性。 为此测试问题提出了两种不同的检验统计量。 检验统计量的渐近分布被推导出来。 可以使用渐近近似来进行相应的检验。 或者，可以通过自助法估计检验统计量的方差。 所提出的检验应用于三个实际数据集。 通过模拟研究了检验的有限样本性能，这些模拟受实际数据集的启发。 显示英文摘要

摘要： We consider testing equivalence to Hardy-Weinberg Equilibrium in case of multiple alleles. Two different test statistics are proposed for this test problem. The asymptotic distribution of the test statistics is derived. The corresponding tests can be carried out using asymptotic approximation. Alternatively, the variance of the test statistics can be estimated by the bootstrap method. The proposed tests are applied to three real data sets. The finite sample performance of the tests is studied by simulations, which are inspired by the real data sets.