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Weighted Least-Squares Analysis of Several Univariate Bradley-Terry Models
若干单变量 Bradley–Terry 模型的加权最小二乘分析
The approach of Grizzle, Starmer, and Koch (1969) to analyzing categorical data using linear and loglinear transformations is applied to the analysis of univariate paired and triple comparison experiments. This method of analysis produces noniterative weighted least-squares estimates of the preference ratings corresponding to the treatments under test and allows for testing hypotheses relative to their values within the framework of the general linear hypothesis. Further,…
Weighted Least-Squares Analysis of Several Univariate Bradley-Terry Models
若干单变量 Bradley–Terry 模型的加权最小二乘分析
The approach of Grizzle, Starmer, and Koch (1969) to analyzing categorical data using linear and loglinear transformations is applied to the analysis of univariate paired and triple comparison experiments. This method of analysis produces noniterative weighted least-squares estimates of the preference ratings corresponding to the treatments under test and allows for testing hypotheses relative to their values within the framework of the general linear hypothesis. Further,…
Locally Asymptotically Most Stringent Tests for Paired Comparison Experiments
成对比较实验的局部渐近最严格检验
Following the results of Bhat and Nagnur [2], the locally asymptotically most stringent test of the hypothesis of no preference in paired comparison experiments is derived for the models of Rao and Kupper [9] and Davidson [3]. It is shown that the asymptotic relative efficiency of these tests when compared to the test based on the likelihood ratio statistic is unity.
Locally Asymptotically Most Stringent Tests for Paired Comparison Experiments
成对比较试验的局部渐近最严检验
Following the results of Bhat and Nagnur [2], the locally asymptotically most stringent test of the hypothesis of no preference in paired comparison experiments is derived for the models of Rao and Kupper [9] and Davidson [3]. It is shown that the asymptotic relative efficiency of these tests when compared to the test based on the likelihood ratio statistic is unity.