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分析多维列联表独立性与频数拟合优度的累积量方法AI 解读

Cumulant methods for analysisng the independence of r-way contingency tables and goodness-of-fit frequency data are presented. These methods are based on the exact first three cumulants of both the classical Pearson chi-squared statistic and a recent advantageous modification of this statistic. These approximate methods provide major distributional improvements over existing asymptotic methods

基于多响应置换程序的一类非参数检验AI 解读

A class of univariate rank tests based on multiresponse permutation procedures is introduced. Asymptotic equivalence is established between one member of this class and the Kruskal-Wallis test. Simulated power comparisons for location shift detection indicate that another member of the class provides superior detection efficiency for location shifts of bimodal distributions and of heavy tailed unimodal distributions. Furthermore, both tests possess substantial computational…

基于多响应置换程序的一类非参数检验AI 解读

A class of univariate rank tests based on multiresponse permutation procedures is introduced. Asymptotic equivalence is established between one member of this class and the Kruskal-Wallis test. Simulated power comparisons for location shift detection indicate that another member of the class provides superior detection efficiency for location shifts of bimodal distributions and of heavy tailed unimodal distributions. Furthermore, both tests possess substantial computational…

基于秩幂的两样本检验：检测尺度与位置备择的渐近性质AI 解读

Two-sample tests based on powers of ranks are considered. These tests are asymptotically optimum against either scale or location alternatives for distributions presented in this article. Specific cases among the classes of tests considered here include the Wilcoxon, sum of squared ranks, median, Ansari-Bradley and Mood two-sample rank tests. The quality of the normal approximation for these tests is indicated by obtaining each test statistic's approximate large sample…

嵌套抽样中的负方差估计与统计依赖AI 解读

Negative components of variance estimates may arise when the usual specification of statistically independent random variables is false. A class of such situations is considered here, viz., those in which the assumption of sampling from infinite populations is incorrect.

Limiting Pitman efficiencies of the sum of squared ranks test relative to best tests for scale alternative detection are obtained for some specific continuous asymmetrical distributions which have mass confined to the positive axis. In particular the A.R.E. of this test to best tests for gamma distributions is maximized (.9372) when the gamma distribution shape parameter is between five and six. Also this test is an asymptotic locally most powerful rank test for detecting…

二元响应独立性的组合检验AI 解读

Dealt with in this paper is the analysis of phenomena involving simultaneous responses among members of small groups during a finite number of discrete time intervals. An exact combinatorial test obtained by conditioning on the sufficient statistics under a null hypothesis is proposed. A specific application of this test is given for the analysis of asthma attack data of asthmatic individuals.

二值响应独立性的组合检验AI 解读

Dealt with in this paper is the analysis of phenomena involving simultaneous responses among members of small groups during a finite number of discrete time intervals. An exact combinatorial test obtained by conditioning on the sufficient statistics under a null hypothesis is proposed. A specific application of this test is given for the analysis of asthma attack data of asthmatic individuals.