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配对比较中的处理对比：大样本结果、应用与若干最优设计AI 解读

Treatment contrasts in paired comparison experiments are considered. Given that specified orthonormal treatment contrasts are null, remaining treatment parameters, orthonormal contrasts among them, and their logarithms are estimated. The estimators are shown to be consistent and, when suitably scaled and centered, to have distribution functions that are normal in the limit for large sample sizes. Hypothesis tests on treatment contrasts are obtained. The limiting distribution…

成对比较中的处理对比：大样本结果、应用与部分最优设计AI 解读

Treatment contrasts in paired comparison experiments are considered. Given that specified orthonormal treatment contrasts are null, remaining treatment parameters, orthonormal contrasts among them, and their logarithms are estimated. The estimators are shown to be consistent and, when suitably scaled and centered, to have distribution functions that are normal in the limit for large sample sizes. Hypothesis tests on treatment contrasts are obtained. The limiting distribution…

若干单样本序贯秩检验的停止时间AI 解读

Two models for modified, one-sample, sequential probability ratio tests based on Lehmann alternatives are considered, one developed by Weed and Bradley and one by Govindarajulu. It is shown how they are related. Sure termination of the SPRT's is established under very general conditions.

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序贯单样本分组符号秩对称性检验：基本程序AI 解读

Independent groups, each of N independent observations on a random variable Z, are taken sequentially with signed ranks obtained within groups. Two tests of symmetry of the parent cdf F about the origin are developed, one based on the within-group configurations of signed ranks and the other based on the within-group sums of positive signed ranks. Some properties of F are F+(z) = 1 - [1-F-(z)]k, x≥0, k>0, and F(0) = k/(k+1) where F+ and F- are respectively the conditional…

多变量成对比较中的回归关系AI 解读

In two previous papers, a model for multivariate paired comparisons was proposed and the associated methodology and large-sample properties were developed. The present study considers the problem of relating the response pattern on overall quality to that on a specified set of attributes. A regression equation is derived for a joint distribution of responses to dichotomous items and is applied to the multivariate paired comparison model. A test of the significance of the…

多元成对比较：单变量模型的推广及估计与检验AI 解读

This study is concerned with the development of an extension of the Bradley-Terry model for paired comparisons to situations in which responses to paired comparisons are obtained on each of several characteristics. At the outset a probability model for multivariate paired comparisons is proposed that may be represented in several distinct ways. An iterative procedure for obtaining maximum-likelihood estimates of the parameters introduced into the model is given and its…

多变量成对比较：单变量模型的扩展及估计与检验AI 解读

This study is concerned with the development of an extension of the Bradley-Terry model for paired comparisons to situations in which responses to paired comparisons are obtained on each of several characteristics. At the outset a probability model for multivariate paired comparisons is proposed that may be represented in several distinct ways. An iterative procedure for obtaining maximum-likelihood estimates of the parameters introduced into the model is given and its…

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