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整群抽样数据的回归分析AI 解读

For the case of different regression relationships in different subgroups of a finite population, only part of which are sampled, the extended least squares estimator of any weighted average of the distinct coefficients is derived, under assumptions relating only to the first two moments of the distribution of the coefficients. Under these assumptions, the estimator is shown to be the best linear ξ-unbiased estimator, while under further distributional assumptions, it is…

不同计数规则下多重报告估计的响应误差与抽样误差AI 解读

The components of the mean square error (MSE) of estimates from surveys with multiplicity, where households report on events which occurred in them and also in other households (linked to them according to well-specified counting rules), can be estimated on the basis of a specially designed evaluation survey, under certain simplifying assumptions. The empirical results from such a survey, designed to estimate births and marriages, indicate that a wide counting rule is more…

不同计数规则下多重报告估计的回答与抽样误差：实证研究AI 解读

The components of the mean square error (MSE) of estimates from surveys with multiplicity, where households report on events which occurred in them and also in other households (linked to them according to well-specified counting rules), can be estimated on the basis of a specially designed evaluation survey, under certain simplifying assumptions. The empirical results from such a survey, designed to estimate births and marriages, indicate that a wide counting rule is more…

分层样本列联表独立性检验的渐近功效AI 解读

The statistics of several alternative procedures, proposed to test for independence in contingency tables derived from stratifled samples, all have the same asymptotic chi-square distribution, under the null hypothesis. By considering a modified sampling procedure, it is shown here that they also have the same asymptotic distribution under any alternative hypothesis—the non-central chi square, with the noncentrality parameter of Wald's test for the case of independently and…