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抽样调查多变量回答误差模型的另一种方法及子类均值应用AI 解读

Indicator functions are used as the basis for the formulation of a multivariate extension of the response error model developed by the U.S. Bureau of the Census. This approach allows a more complete characterization for general survey designs of the nature of the various components of the total variance of linear sample estimators and is particularly useful with respect to the role of the interaction component. These results are then applied to study the effect of response…

调查数据多变量回答误差模型及其在子类均值估计中的应用AI 解读

Indicator functions are used as the basis for the formulation of a multivariate extension of the response error model developed by the U.S. Bureau of the Census. This approach allows a more complete characterization for general survey designs of the nature of the various components of the total variance of linear sample estimators and is particularly useful with respect to the role of the interaction component. These results are then applied to study the effect of response…

多元分析在复杂抽样调查数据中的应用AI 解读

This article adapts a standard method of multivariate analysis to a highly complex sampling design utilizing the method of balanced repeated replication for calculating valid and consistent estimates of variance. The example illustrates that by doing univariate tests to compare the mean height (or weight) of six year old white males to the mean height (or weight) of six year old Negro males, no significant differences are found between the two groups. However, the…

多元分析在复杂抽样调查数据中的应用AI 解读

This article adapts a standard method of multivariate analysis to a highly complex sampling design utilizing the method of balanced repeated replication for calculating valid and consistent estimates of variance. The example illustrates that by doing univariate tests to compare the mean height (or weight) of six year old white males to the mean height (or weight) of six year old Negro males, no significant differences are found between the two groups. However, the…

证明矩阵相等的一个引理及其最小二乘型二次型应用AI 解读

A useful lemma for proving the equality of two matrices is given. The result is then applied to proving the equality of certain quadratic forms arising in least squares models.

非抽样误差对2 × 2列联表关联度量的影响AI 解读

The effects of non-sampling errors on measures of association in 2 × 2 contingency tables are evaluated by the application of models due to the U. S. Bureau of the Census. This is achieved by first expressing the appropriate sample estimates in the form of Taylor series approximations involving cell probabilities, and then applying the model in a term by term fashion. In this way, the relative effects of sampling errors and response errors on the variability of an estimated…

完全随机布局下裂区试验统计分析的若干方面AI 解读

The statistical analysis of completely randomized “split-plot” experiments is discussed from the point of view of the underlying multivariate model. In doing this, first certain well-known aspects of the parametric case are reviewed; however, attention is primarily directed toward the development of appropriate non-parametric procedures. The general structure of “split-plot” experiments involves N randomly chosen subjects to whom treatments have been assigned according to a…

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