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分类数据趋势检验中的分组方法AI 解读

In many studies there is believed to be a trend in a categorical variate with a continuous variate. Often in these cases it is desired to test for the trend using k groups formed from the continuous variable. This article is concerned with the grouping problem where the goal is essentially to maximize the asymptotic efficiency of the test. Optimal classes are given for k = 2, 3, 4, 5 and 6 for the uniform, normal and exponential distributions. Also, the number of groups to…

离散均匀有限总体的极差抽样分布与同质性检验AI 解读

The sampling distribution of the range from a discrete uniform finite population is obtained. Its relation to the sampling distribution from a discrete uniform population is studied, and conditions under which one can approximate the other are given. A range test for homogeneity which is based on these distributions is proposed. An intuitive discussion of the test is given and then the power is determined for some alternative hypotheses. The test is found to be quite…

离散均匀有限总体的极差抽样分布与齐性极差检验AI 解读

The sampling distribution of the range from a discrete uniform finite population is obtained. Its relation to the sampling distribution from a discrete uniform population is studied, and conditions under which one can approximate the other are given. A range test for homogeneity which is based on these distributions is proposed. An intuitive discussion of the test is given and then the power is determined for some alternative hypotheses. The test is found to be quite…