期刊
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES A-STATISTICS IN SOCIETY
卷 185, 期 4, 页码 1733-1756出版社
OXFORD UNIV PRESS
DOI: 10.1111/rssa.12916
关键词
design-based; maximum likelihood; model-assisted; pseudo-likelihood; Poisson sampling; sample design; stratified sampling
资金
- University ofWollongong Vice-Chancellor's Visiting International Scholar Awards
This paper presents a general approach for determining efficient sampling designs for probability-weighted maximum likelihood estimators in generalized linear models. The approach takes into account non-ignorable sampling, including outcome-dependent sampling. The new designs have probabilities of selection closely related to influence statistics such as dfbeta and Cook's distance. The effectiveness of the approach is demonstrated through a simulation based on data from the New Zealand Health Survey.
Sample designs are typically developed to estimate summary statistics such as means, proportions and prevalences. Analytical outputs may also be a priority but there are fewer methods and results on how to efficiently design samples for the fitting and estimation of statistical models. This paper develops a general approach for determining efficient sampling designs for probability-weighted maximum likelihood estimators and considers application to generalized linear models. We allow for non-ignorable sampling, including outcome-dependent sampling. The new designs have probabilities of selection closely related to influence statistics such as dfbeta and Cook's distance. The new approach is shown to perform well in a simulation based on data from the New Zealand Health Survey.
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