Bootstrap Variance Estimation for Rejective Sampling

Wayne A. Fuller, Jason C. Legg and Yang Li

Journal of the American Statistical Association, 2017, vol. 112, issue 520, 1562-1570

Abstract: Replication procedures have proven useful for variance estimation for large scale complex surveys. As an extension of bootstrap procedures to rejective samples, we define a bootstrap sample that is a rejective, unequal probability, replacement sample selected from the original sample. A modification of the bootstrap with improved performance is suggested for stratified samples with small stratum sizes. Simulations for Poisson and stratified rejective samples support the use of replicates in estimating the variance of the regression estimator for rejective samples.

Date: 2017
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DOI: 10.1080/01621459.2016.1222285

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