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Using Ranked Set Sampling With Cluster Randomized Designs for Improved Inference on Treatment Effects

在整群随机设计中使用排序集抽样改进处理效应推断

Xinlei Wanga, Johan Limb & Lynne Stokesa*a Department of Statistical Science, Southern Methodist University, Dallas, TX, USAb Seoul National University, Seoul, KoreaCONTACT Lynne Stokes slstokes@smu.edu Department of Statistical Science, Southern Methodist University, Dallas, TX 75275-0332.Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/r/JASA.Supplementary materials for this article are available online. Please go to…

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Concomitants of Multivariate Order Statistics With Application to Judgment Poststratification

多元次序统计量的伴随变量及其判断后分层应用

We generalize the definition of a concomitant of an order statistic in the multivariate case, develop general expressions for its density, and establish related properties. We study the concomitant of a normal random vector in detail and discuss methods for calculating its moments. Furthermore, we apply the theory to develop new estimators of the mean from a judgment poststratified sample, where poststrata are formed by rank classes of auxiliary variables. Our estimators are…

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Estimating the Number of Classes in a Finite Population

估计有限总体中的类别数量

We use an extension of the generalized jackknife approach of Gray and Schucany to obtain new nonparametric estimators for the number of classes in a finite population of known size. We also show that generalized jackknife estimators are closely related to certain Horvitz–Thompson estimators, to an estimator of Shlosser, and to estimators based on sample coverage. In particular, the generalized jackknife approach leads to a modification of Shlosser's estimator that does not…

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Estimating the Number of Classes in a Finite Population

有限总体中类别数量的估计

We use an extension of the generalized jackknife approach of Gray and Schucany to obtain new nonparametric estimators for the number of classes in a finite population of known size. We also show that generalized jackknife estimators are closely related to certain Horvitz–Thompson estimators, to an estimator of Shlosser, and to estimators based on sample coverage. In particular, the generalized jackknife approach leads to a modification of Shlosser's estimator that does not…

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Estimating the Size of a Subdomain: An Application in Auditing

总体子域规模的估计:审计中的应用

This article suggests an alternative to the ratio estimator for estimating the total size of a subdomain of a population. The application that served as the genesis for this work is from auditing. The problem is to estimate the total of sales transactions that are not tax exempt from an audit sample of the population of nontaxed sales transactions. A superpopulation approach, which models the unit's probability of belonging to the subdomain as a function of its size, leads…

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Estimation of Interviewer Effects for Categorical Items in a Random Digit Dial Telephone Survey

随机拨号电话调查中分类题目的访员效应估计

The loss of precision in estimates of means due to variability among interviewers can be substantial for some questionnaire items and survey designs. The most commonly used methods for estimating the magnitude of this loss are inappropriate for binary items in complex surveys. This article shows how parameters from a model for variance components in binary variables (Anderson and Aitkin 1985) are related to the increased variance of population estimates. It is suggested that…

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