- Author
- Abdulhakeem Eideh (Department of Mathematics,Al-Quds University, Abu-Dees Campus, Al-Quds, Palestine)
- Title
- Parametric Prediction of Finite Population Total Under Informative Sampling and Nonignorable Nonresponse
- Source
- Statistics in Transition, 2020, vol. 21, nr 1, s. 13-35, tab., bibliogr. s. 34-35
- Keyword
- Prognozowanie, Dobór próby badawczej, Badania reprezentacyjne
Forecasting, Selection of test methods, Sampling survey - Note
- summ.
- 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). (original abstract)
- Accessibility
- The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice - Full text
- Show
- Bibliography
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- Cited by
- ISSN
- 1234-7655
- Language
- eng
- URI / DOI
- http://dx.doi.org/10.21307/stattrans-2020-002