Abstract

Abstract This article describes a generalized program for the computation of sampling errors. It employs computerized linearization of nonlinear estimates by the use of the first-order Taylor approximation. It can be used for any estimate derived from any "large" probability sample. In most instances the only inputs required are the weighted sample data and the form of the estimate whose precision is to be measured. In these cases, both the estimate and its sampling error can be produced with the same amount of data preparation and programming effort as is required to produce the estimate only.

Keywords

ComputationLinearizationVariance (accounting)Sampling (signal processing)Computer scienceMathematicsSample (material)StatisticsApplied mathematicsTaylor seriesNonlinear systemAlgorithmMathematical optimizationDetector

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1979 The Annals of Statistics 16966 citations

Publication Info

Year
1976
Type
article
Volume
71
Issue
354
Pages
315-321
Citations
66
Access
Closed

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Cite This

Ralph S. Woodruff, Beverley D. Causey (1976). Computerized Method for Approximating the Variance of a Complicated Estimate. Journal of the American Statistical Association , 71 (354) , 315-321. https://doi.org/10.1080/01621459.1976.10480338

Identifiers

DOI
10.1080/01621459.1976.10480338