Using Partially Balanced Designs for the Half Sample Replication Method of Variance Estimation

This article considers the use of G-order partially balanced designs for half sample replication method of variance estimation. A new procedure for the arrangement of strata (AAA) is proposed which is shown for a certain class of statistics and for even G to be more efficient than an earlier arrange...

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Veröffentlicht in:Journal of the American Statistical Association 1973-09, Vol.68 (343), p.612-614
1. Verfasser: Lee, Kok-Huat
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description This article considers the use of G-order partially balanced designs for half sample replication method of variance estimation. A new procedure for the arrangement of strata (AAA) is proposed which is shown for a certain class of statistics and for even G to be more efficient than an earlier arrangement (SAOA) when the sequence {a h = W 2 h σ 2 hu ) is monotonic increasing with either strict downward or strict upward convexity, where W h , is the stratum weight and σ 2 hu the within-stratum variance.
doi_str_mv 10.1080/01621459.1973.10481393
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subjects Consistent estimators
Data sampling
Estimation methods
Estimators
Increasing sequences
Random sampling
Statistical variance
Survey sampling
Theory and Methods
title Using Partially Balanced Designs for the Half Sample Replication Method of Variance Estimation
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