Journal of Official Statistics, Vol.3, No.3, 1987. pp. 235–250
Generalized Variance Functions for a Complex Sample Survey
Eugene G. Johnson and Benjamin F. King
Abstract:For a national survey of reading ability among young adults using a multistage, stratified probability sample, generalized variance functions (GVFs) are estimated. That is, an attempt is made to express the estimated variance of a statistic as a function of that statistic and other characteristics of the variable of interest. With GVFs estimated from a development sample of variables, predictions of sampling variance are made for other variables in a confirmation sample and comparisons made with conventional jackknife estimates. Conclusions are drawn about the feasibility of use of GVFs, with emphasis on the margin of additional estimation error that is introduced.
Keywords:Estimated variance; design effects; jackknife.
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