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Alternative Paradigms for the Analysis of Imputed Survey Data

插补调查数据分析的替代范式

Rubin has offered multiple imputation as a general approach to inference from survey data sets with missing values filled in through imputation. In many situations the multiple imputation variance estimator is consistent. In turn, this observation has lent support to a number of complex applications. In fact, however, the multiple imputation variance estimator is inconsistent under some simple conditions. This article extends previous work of Rao and Shao and of Fay directed…

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A Jackknifed Chi-Squared Test for Complex Samples

复杂抽样下的刀切法卡方检验

Complex sample designs typically invalidate the direct application of the familiar Pearson or likelihood-ratio chi-squared statistics for testing the fit of a model to a cross-classified table of counts. This article discusses the adjustment of these statistics through a jackknifing approach. The technique may generally be applied whenever a standard replication method, such as the jackknife, bootstrap, or repeated half-samples, provides a consistent estimate of the…

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Estimates of Income for Small Places: An Application of James-Stein Procedures to Census Data

小地区收入估计:James–Stein 方法在普查数据中的应用

An adaptation of the James-Stein estimator is applied to sample estimates of income for small places (i.e., population less than 1,000) from the 1970 Census of Population and Housing. The adaptation incorporates linear regression in the context of unequal variances. Evidence is presented that the resulting estimates have smaller average error than either the sample estimates or an alternate procedure of using county averages. The new estimates for these small places now form…

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