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三个或四个均值多重比较的精确同时置信区间AI 解读

A procedure for constructing exact simultaneous confidence intervals for a finite set of multiple comparisons among three or four groups is presented. These confidence intervals are hyperbolic and based on an unbiased estimator of the mean values having a normal distribution with covariance matrix σ2V, where V is an arbitrary known positive definite matrix. This procedure is used to study the amount of conservativeness of Tukey—Kramer intervals for pairwise comparisons in an…

区间上简单线性回归的精确置信带AI 解读

Exact simultaneous confidence intervals and bands for the regression line on a set Cx in simple linear regression have been known only when Cx is a finite set with one or two points or when Cx is a finite or infinite interval. Otherwise, conservative bands have been used. In this article we present a method for constructing exact confidence bands on an arbitrary finite union of intervals or points. Also, tables are provided for cases of finite Cx with three points and of Cx…