Abstract
Postulating a super-population linear regression model for a variable of interest on an auxiliary variable we consider design-based estimation of regression coefficients on drawing a sample with unequal probabilities from a survey population. Asymptotic design-cum-model based variance estimation procedures are proposed.
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References
Binder, D.A. (1983) On the variances of asymptotically normal estimators from complex surveys, Int. Stat. Rev.,51, 279–292.
Brewer, K.R.W. (1979) A class of robust sampling designs for large-scale surveys, Jour. Amer. Stat. Assoc.,74, 911–915.
Cramér, H. (1946) Mathematical Methods of Statistics, Princeton Univ. Press.
Woodruff, R.S. (1971) A simple method for approximating the variance of a complicated estimate. Jour. Amer. Stat. Assoc.,66, 411–414.
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Chaudhuri, A., Maiti, T. Asymptotic design-cum-model based estimation of variances of estimated linear regression coefficients in survey sampling with unequal probabilities. Statistical Papers 37, 79–84 (1996). https://doi.org/10.1007/BF02926161
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DOI: https://doi.org/10.1007/BF02926161
Key words
- Asymptotic analysis
- linear regression model
- survey population
- unequal probability sampling
- variance estimation