Pseudo Empirical Likelihood Confidence Intervals for Complex Sample Survey Data (original) (raw)
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In recent years, general-purpose statistical software packages have incorporated new procedures that feature several useful options for design-based analysis of complex-sample survey data. A common and frequently desired technique for analysis of survey data in practice is the restriction of estimation to a subpopulation of interest. These subpopulations are often referred to interchangeably in a variety of fields as subclasses, subgroups, and domains. In this article, we consider two approaches that analysts of complex-sample survey data can follow when analyzing subpopulations; we also consider the implications of each approach for estimation and inference. We then present examples of both approaches, using selected procedures in Stata to analyze data from the National Hospital Ambulatory Medical Care Survey (NHAMCS). We conclude with important considerations for subpopulation analyses and a summary of suggestions for practice.
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We are concerned about inference on a parameter of a stochastic model with an estimator using data from a complex sample. Classical sampling theory concerns inferences for finite population parameters. H~jek (1960), Krewski and Rao (1981), Binder (1983) and others, studied and obtained results on the asymptotic properties of the sample estimator under simple random sample and some complex designs. On the other hand, Hartley and Silken (1975), Fuller (1975), Francisco and Fuller (1991) and others, studied the properties of the sample estimator with respect to a model parameter, some times called superpopulation parameter. They obtained asymptotic results for regression sample estimators using data from certain complex sampling designs. Underlying their set ups, there was the notion of a "superpopulation" defined on a probability space (~,F,P) and the finite population was a considered a realization of it for an outcome to e [Z . The observed sample would be the second phase...
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