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Biometrika 1984 71(3):495-506; doi:10.1093/biomet/71.3.495
© 1984 by Biometrika Trust
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Ignorable and informative designs in survey sampling inference

R. A. SUGDEN and T. M. F. SMITH

Department of Mathematics, University of London, Goldsmiths' College London, U.K.
Faculty of Mathematical Studies, University of Southampton Southampton, U.K.

The role of the sample selection mechanism in a model-based approach to finite population inference is examined. When the data analyst has only partial information on the sample design then a design which is ignorable when known fully may become informative. Conditions under which partially known designs can be ignored are established and examined for some standard designs. The results are illustrated by an example used by Scott (1977).

Key Words: Bayesian predictive inference • Face-value likelihood • Finite population • Model-based inference • Partial design information • Regression through the origin • Secondary analysis • Selection mechanism


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