Abstract
Postulating a linear regression of a variable of interest on an auxiliary variable with values of the latter known for all units of a survey population, we consider appropriate ways of choosing a sample and estimating the regression parameters. Recalling Thomsen’s (1978) results on non-existence of ‘design-cum-model’ based minimum variance unbiased estimators of regression coefficients we apply Brewer’s (1979) ‘asymptotic’ analysis to derive ‘asymptotic-design-cummodel’ based optimal estimators assuming large population and sample sizes. A variance estimation procedure is also proposed.
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References
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Thomsen I (1978) Design and estimation problem when estimating a regression coefficient from survey data. Metrika 15:27–35
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Chaudhuri, A., Maiti, T. Estimating regression coefficients from survey data by asymptotic design-cum-model based approach. Metrika 43, 123–133 (1996). https://doi.org/10.1007/BF02613902
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DOI: https://doi.org/10.1007/BF02613902