We provide necessary and sufficient conditions of uniform consistency of nonparametric sets of alternatives of chi-squared test for testing of hypothesis of homogeneity. The number of cells of chi-squared test increases with sample size growth. Nonparametric sets of alternatives can be defined both in terms of densities and distribution functions.
翻译:我们为测试同质假设提供了必要和充分的条件,使非对称的基结构试验替代物各组统一一致;基结构试验的细胞数量随着抽样规模的增长而增加;非对称替代物的密度和分布功能都可以界定。