English, Article edition: One-Sided Coverage Intervals for a Proportion Estimated from a Stratified Simple Random Sample Phillip S. Kott; Yan K. Liu

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  • article
Language
  • English

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Title
  • One-Sided Coverage Intervals for a Proportion Estimated from a Stratified Simple Random Sample
Author
  • Phillip S. Kott
  • Yan K. Liu
Physical Description
  • article
Notes
  • Using an Edgeworth expansion to speed up the asymptotics, we develop one-sided coverage intervals for a proportion based on a stratified simple random sample. To this end, we assume the values of the population units are generated from independent random variables with a common mean within each stratum. These stratum means, in turn, may either be free to vary or are assumed to be equal. The more general assumption is equivalent to a model-free randomization-based framework when finite population correction is ignored. Unlike when an Edgeworth expansion is used to construct one-sided intervals under simple random sampling, it is necessary to estimate the variance of the estimator for the population proportion when the stratum means are allowed to differ. As a result, there may be accuracy gains from replacing the normal "z"-score in the Edgeworth expansion with a "t"-score. Copyright (c) 2009 The Authors. Journal compilation (c) 2009 International Statistical Institute.
  • RePEc:bla:istatr:v:77:y:2009:i:2:p:251-265
Language
  • English
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