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三维列联表严格可折叠性的交并检验AI 解读

The structure of the strict collapsibility model in a three-dimensional contingency table is investigated with the goal of developing more powerful tests. After showing that strict collapsibility can be written as a finite union of distinct models, an intersection union test is proposed which is at least as powerful asymptotically as the likelihood ratio test. Intersection union tests for strong collapsibility and marginal independence are also suggested.

设计点数量增长时最小 Logit 卡方估计量的一致性与渐近正态性AI 解读

When the number of design points goes to infinity, we show that the minimum logit chi-squared estimator of the parameter in a linear logistic regression model for binomial response data is asymptotically normal. We also give conditions under which it is consistent.

通过修正经验 Logit 降低简单线性逻辑回归的偏差AI 解读

The effect on the bias of Berkson's minimum logit chi-squared estimator of adding a constant to each observed count before forming the empirical logit is examined as a function of the number of design points. It is shown that the ‘best’ constant for reducing bias is essentially a linear function of the reciprocal of the number of design points.

列联表数量很大时观测优势比的加权平均AI 解读

When estimating the common odds ratio in a set of 2 × 2 tables, we show that, except in the special case of matched pairs, no weighted average of the observed odds ratios is asymptotically efficient as the number of tables goes to infinity with the numbers of observations per table uniformly bounded.

通过修正经验 logit 降低简单线性逻辑斯蒂回归的偏差AI 解读

The effect on the bias of Berkson's minimum logit chi-squared estimator of adding a constant to each observed count before forming the empirical logit is examined as a function of the number of design points. It is shown that the ‘best’ constant for reducing bias is essentially a linear function of the reciprocal of the number of design points.