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基于有效得分的异质性检验AI 解读

For cases in which a parameter may be estimated from several independent data sets, Mather (1935) proposed a heterogeneity test based on the efficient scores for the individual data sets evaluated at the overall maximum likelihood estimator. Following Fisher (1946), a modification of the heterogeneity score test is presented wherein a consistent but inefficient estimator of the parameter of interest is substituted for the overall maximum likelihood estimator. The modified…

基于有效得分的异质性检验AI 解读

For cases in which a parameter may be estimated from several independent data sets, Mather (1935) proposed a heterogeneity test based on the efficient scores for the individual data sets evaluated at the overall maximum likelihood estimator. Following Fisher (1946), a modification of the heterogeneity score test is presented wherein a consistent but inefficient estimator of the parameter of interest is substituted for the overall maximum likelihood estimator. The modified…

某些共同相对风险或优势比非迭代估计量的渐近无效率AI 解读

Nurminen (1981) gives conditions for the asymptotic efficiency of general weighted mean estimators. His application is a noniterative estimator of a common relative risk for binomial variates. This summary estimator and, by implication, the Mantel-Haenszel summary odds ratio estimator are asserted to be asymptotically efficient. We examine conditions for the asymptotic efficiency in the unconditional sample space of the Mantel Haenszel estimator for a common odds ratio, the…

某些共同相对风险或优势比非迭代估计量的渐近无效率性AI 解读

Nurminen (1981) gives conditions for the asymptotic efficiency of general weighted mean estimators. His application is a noniterative estimator of a common relative risk for binomial variates. This summary estimator and, by implication, the Mantel-Haenszel summary odds ratio estimator are asserted to be asymptotically efficient. We examine conditions for the asymptotic efficiency in the unconditional sample space of the MantelHaenszel estimator for a common odds ratio, the…

向量参数似然方程根唯一性的一个注记AI 解读

Two examples are given from the literature in which results concerning functions of a single variable are applied incorrectly to multivariate functions. One of the examples concerns the proof of a basic theorem in the theory of maximum likelihood estimation of vector-valued parameters. An alternate statement and proof of the theorem are given.

寿命表分析中的趋势检验AI 解读

Using the regression model proposed by Cox (1972) a test for monotone trend in hazard functions is derived for use, for example, in chemical carcinogenesis experiments in which a chemical is administered at increasing dose levels. It is demonstrated that under the null hypothesis of no dose-response relationship the test statistic is distributed asymptotically as chi-squared with one degree of freedom. An exact test for trend is proposed which is valid when censorship is…