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双样本截尾 t 统计量的近似行为与性能AI 解读

A trimmed t statistic is defined for the case of two independent samples with equal population variance. Using an efficient Monte-Carlo technique, it is shown that for a normal underlying distribution and equal sample sizes, the two-sample trimmed t can be satisfactorily approximated by Student's t with degrees of freedom Corresponding to the reduced sample. Asymptotically, the statistic approaches N(0, 1). The loss of power efficiency in using trimmed t is small under exact…

删失回归样本的参数估计AI 解读

Winsorization and trimming using stratified and pooled procedures are proposed for linear regression analysis. The regression model assumes an equal number of observations at each value of an equally spaced independent variable. In the null case, the error variable is normally distributed. Efficiencies of estimates are obtained analytically for the stratified procedure and by Monte Carlo methods for the pooled procedure. Means and variances of estimates are obtained…

删截回归样本的参数估计AI 解读

Winsorization and trimming using stratified and pooled procedures are proposed for linear regression analysis. The regression model assumes an equal number of observations at each value of an equally spaced independent variable. In the null case, the error variable is normally distributed. Efficiencies of estimates are obtained analytically for the stratified procedure and by Monte Carlo methods for the pooled procedure. Means and variances of estimates are obtained…

统计符号检验AI 解读

This paper presents and illustrates a simple statistical test for judging whether one of two materials or treatments is better than the other. The data to which the test is applied consist of paired observations on the two materials or treatments. The test is based on the signs of the differences between the pairs of observations. It is immaterial whether all the pairs of observations are comparable or not. However, when all the pairs are comparable, there are more efficient…