Analyzing Disproportionately Stratified Samples With Computerized Statistical Packages

Kent W. Smith
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Kent W. Smith: Northwestern University

Sociological Methods & Research, 1976, vol. 5, issue 2, 207-230

Abstract: With proper unit-weighting, the widely used statistical packages provide unbiased estimates of means, proportions, and totals for disproportionately stratified samples but generally overestimate these statistics' variances. Proper unit-weighting need not artificially increase the sample size. If the assumptions of classical linear regression are appropriate and the model is correctly specified, then ordinary least-squares regression without unit-weighting provides the best-linear-unbiased and maximum-likelihood estimates for large stratified samples-at least for those with small sampling proportions from large populations. With heteroscedastic errors, generalized least-squares can be performed through data transformations.

Date: 1976
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Persistent link: https://EconPapers.repec.org/RePEc:sae:somere:v:5:y:1976:i:2:p:207-230

DOI: 10.1177/004912417600500203

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