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偏离正态性的检验：功效比较AI 解读

SUMMARY In the present paper we present results of a large scale simulation study of the power of various tests of normality. We follow the procedure adopted by Shapiro, Wilk & Chen of applying a considerable variety of tests to samples drawn from a wide range of nonnormal populations. We, however, consider some additional tests, emphasize the difference between 'omnibus' and 'directional' tests and show the difficulty of applying tests based on ordered observations, such as…

概率与统计史研究（二十）AI 解读

Letters or extracts from letters which passed between W. S. Gosset, R. A. Fisher and Karl Pearson during the years 1912–20 are reproduced. They throw light on the start of Fisher's statistical career. In the notes accompanying the correspondence, attention is drawn to the problems in estimation and significance testing which were brought to the front at that date by the unusual character of the sampling distribution of the correlation coefficient. An early disagreement…

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单个正态样本中极差与标准差之比的分布AI 解读

H. A. DAVID, H. O. HARTLEY, E. S. PEARSON; THE DISTRIBUTION OF THE RATIO, IN A SINGLE NORMAL SAMPLE, OF RANGE TO STANDARD DEVIATION, Biometrika, Volume 41,

由非中心 F 分布导出的方差分析检验功效图AI 解读

E. S. PEARSON, H. O. HARTLEY; CHARTS OF THE POWER FUNCTION FOR ANALYSIS OF VARIANCE TESTS, DERIVED FROM THE NON-CENTRAL F-DISTRIBUTION, Biometrika, Volume

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