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Wilks 似然比准则分布的若干结果AI 解读

The null distribution of Wilks's likelihood ratio criterion A is examined in its exact and asymptotic forms. The case when p, the number of variates, and q, the number of hypothesis degrees of freedom, are both odd is considered and in this case the distribution is given in simple integral form. The results are used to develop techniques for computing the distribution. Tables of the chi-squared correction factors for the percentage points are extended to cover, in…

Wilks似然比判据分布的若干结果AI 解读

The null distribution of Wilks's likelihood ratio criterion A is examined in its exact and asymptotic forms. The case when p, the number of variates, and q, the number of hypothesis degrees of freedom, are both odd is considered and in this case the distribution is given in simple integral form. The results are used to develop techniques for computing the distribution. Tables of the chi-squared correction factors for the percentage points are extended to cover, in…

多元检验统计量分布的渐近公式及若干检验的功效比较AI 解读

An asymptotic formula is derived for the distribution function of a familiar statistic used in testing the general linear hypothesis in multivariate analysis. The powers of three familar criteria for testing the multivariate general linear hypothesis are compared for moderately large sample sizes.

复相关系数抽样分布的若干结果AI 解读

Summary Recurrence formulae for the density function and the probability integral of the multiple correlation coefficient from a normal sample are obtained. When the number of independent variates is odd these formulae are related to the distribution of the simple correlation. Asymptotic expansions in terms of the non-central beta and of the non-central χ2 distributions are derived. Methods of approximation by the central and the non-central F distributions, as well as by…

多元检验统计量分布的渐近公式：若干多元检验的功效比较AI 解读

An asymptotic formula is derived for the distribution function of a familiar statistic used in testing the general linear hypothesis in multivariate analysis. The powers of three familar criteria for testing the multivariate general linear hypothesis are compared for moderately large sample sizes.