Hierarchical Log-Linear Models not Preserved by Classification Error
将Bross(1954)的2×2列联表分类误差模型扩展到高维表,给出一个简单准则判断哪些高维层次对数线性模型在误分类下不保持独立性检验的显著性水平。
Abstract A model of Bross (1954) for classification error in 2 × 2 contingency tables is extended to higher dimensional tables. It is known (Mote and Anderson 1965) that the usual hypothesis tests of independence for a sampled two-dimensional table have the nominal significance level in the presence of misclassification. A simple criterion is given to determine which hierarchical log-linear models in higher dimensional tables do not share this property, that is, are not preserved by classification error.