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聚类抽样下多组二乘二列联表共同优势比估计的模拟研究AI 解读

This article presents the results of a simulation study of the estimation of a common odds ratio in multiple-contingency tables when the data are correlated within clusters. The correlation is modeled by the beta-binomial distribution. The three objectives of the study were to determine (a) the variances, biases, and relative efficiencies of the beta-binomial maximum likelihood estimator (MLE), the binomial MLE, and the Mantel-Haenszel estimator of the common odds ratio; (b)…

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多项逻辑回归相对于有序逻辑回归的分类效率AI 解读

Classification procedures are useful for the prediction of a response (or outcome) as a result of knowledge of the levels of one or more independent (or predictor) variables. The procedure is said to classify the (possibly multivariate) observation to a level of the response variable. An example might be the prediction of whether an individual will be well, suffer a nonfatal heart attack, or suffer a fatal heart attack. This prediction might be made on the basis of the…

多项逻辑回归相对于多组判别分析的效率AI 解读

Multinomial logistic regression (also referred to as polychotomous logistic regression) is frequently used for the analysis of categorical response data with continuous or categorical explanatory variables. Parameter estimates are usually obtained through direct maximum likelihood estimation. Normal discriminant analysis has been used as an alternative approach to this methodology, although it is strictly appropriate only when the usual normal discriminant assumptions…

依赖数据下的优势比推断：两种程序的关系AI 解读

Liang (1985) proposed an alternative to the Mantel-Haenszel procedure for testing the significance of an estimated common odds ratio when the binomial assumption for the observed cell frequencies is relaxed. It is shown that this procedure is a form of Fisher's one-sample permutation test.

依赖数据下的优势比推断：两种程序的关系AI 解读

Liang (1985) proposed an alternative to the Mantel-Haenszel procedure for testing the significance of an estimated common odds ratio when the binomial assumption for the observed cell frequencies is relaxed. It is shown that this procedure is a form of Fisher's one-sample permutation test.

组内相关系数估计量的大样本方差AI 解读

A derivation is given of the large sample variance of the maximum likelihood estimator rM of the intraclass correlation coefficient p in samples of unequal size ni from a multivariate normal distribution.

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Logit 分析中假设检验的 Wald 检验异常AI 解读

For tests of a single parameter in the binomial logit model, Wald's test is shown to behave in an aberrant manner. In particular, the test statistic decreases to zero as the distance between the parameter estimate and null value increases, and the power of the test, based on its large-sample distribution, decreases to the significance level for alternatives sufficiently far from the null value.