Parametric prediction of finite population total under Informative sampling and nonignorable nonresponse
Date
2020-04-02
Authors
Eideh, Abdulhakeem
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Abstract
In this paper, we combine two methodologies used in the model-based survey sampling,
namely the prediction of the finite population total, named T, under informative sampling
and full response, see Sverchkov and Pfeffermann (2004), and the prediction of T with a
noninformative sampling design and the nonignorable nonresponse mechanism, see Eideh
(2012). The former approach involves the dependence of the first order inclusion
probabilities on the study variable, while the latter involves the dependence of the probability
of nonresponse on unobserved or missing observations. The main aim of the paper is to
consider how to account for the joint effects of informative sampling designs and notmissing-
at-random response mechanism in statistical models for complex survey data. For
this purpose, theoretically, we use the response distribution and relationships between the
moments of the superpopoulation, the sample, sample-complement, response, and
nonresponse distributions for the prediction of finite population totals, see Eideh (2016).
The derived parametric predictors of T use the observation for the response set of the study
variable or variable of interest, values of auxiliary variables and their population totals,
sampling weights, and propensity scores. An interesting outcome of the T study is that most
predictors known from model-based survey sampling can be derived as a special case from
this general theory, see Chambers and Clark (2012).
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Keywords
response distribution , nonignorable nonresponse , informative sampling design