On Prediction of Total Value in Incompletely Specified Domains

Abstract

Summary This paper presents the problem of prediction of a domain total value based on the general linear model. In many methods presented in the survey sampling literature (e.g. Cassel, Särndal & Wretman, 1977[Foundations of inference in survey sampling, New York: John Wiley & Sons]; Valliant, Dorfman & Royall, 2000[Finite population sampling and inference. A prediction approach. New York: John Wiley & Sons]; Rao, 2003[Small area estimation. New York; John Wiley & Sons]) a common assumption is that for each element of a population the domain to which it belongs is known. This assumption is especially important in the situation when a superpopulation model with auxiliary variables is considered. In this paper a method is proposed for prediction of the domain total when it is not known whether a unit belongs to a given domain or not, or when the information is available only for sampled elements of the population.

On Prediction for Correlated Domains in Longitudinal Surveys

“…The idea of the approach, but for the simpler model, presented bẏ Zadło (2006) is similar to the situation when non response occurs (see e.g. Cassel et al, 1983;Gamrot, 2007;Little and Rubin, 2002).…”