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

利用部分平衡设计进行半样本重复法方差估计

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 hσ2 hu) is monotonic increasing with either strict downward or strict upward convexity, where W h, is the stratum weight and σ2 hu the…

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

利用部分平衡设计进行半样本重复法方差估计

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 hσ2 hu) is monotonic increasing with either strict downward or strict upward convexity, where W h, is the stratum weight and σ2 hu the…

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Variance Estimation in Stratified Sampling

分层抽样中的方差估计

A procedure is given for estimating variance in stratified sampling whereby two primary selections per stratum are drawn. It estimates the variance of a statistic on the basis of the variabilities among a set of pseudo values computed from partial samples. It is used to estimate the variance of a combined ratio estimator. Both theoretical and empirical findings are encouraging and support the soundness of the proposed scheme for variance estimation.

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Partially Balanced Designs for Half Sample Replication Method of Variance Estimation

半样本重复方差估计的部分平衡设计

Half sample replication has been used as a method for estimating variances in stratified sampling whereby two primary selections are drawn from each stratum. This article considers some procedures of improving the precision of the variance estimator computed from a partially balanced set of half samples. Both the theoretical and empirical findings suggest that the SAOA procedure is an effective method to employ, in particular with a “2-order partially balanced design.”

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Partially Balanced Designs for Half Sample Replication Method of Variance Estimation

用于半样本重复方差估计的部分平衡设计

Half sample replication has been used as a method for estimating variances in stratified sampling whereby two primary selections are drawn from each stratum. This article considers some procedures of improving the precision of the variance estimator computed from a partially balanced set of half samples. Both the theoretical and empirical findings suggest that the SAOA procedure is an effective method to employ, in particular with a “2-order partially balanced design.”

AI 解读阅读原文 ↗BibTeX ↓