On the use of sampling weights and sample distribution  when estimating regression models under informative sampling

Adulhakeem A. H.  Eideh

doi:https://doi.org/10.59170/stattrans-2014-013

On the use of sampling weights and sample distribution when estimating regression models under informative sampling

Adulhakeem A. H. Eideh Department of Mathematics, College of Science and Technology, Al-Quds University, Abu-Dies campus, Palestine, P.O. Box 20002, Jerusalem. Statistics in Transition new series, vol. 15, 2014, 2, pages: 183-196 Published online: 2 June 2014 https://doi.org/10.59170/stattrans-2014-013

216 Views 10 Downloads

ARTICLE

(English) PDF

ABSTRACT

In this paper we show that the use of sampling weights when estimating regression models with survey data discussed by Magee, Robb and Burbidge (1998), and the use of sample distribution in fitting regression models with survey data proposed by Pfeffermann and Sverchkov (1999) are coincide methods dealing with the same statistical problem.

KEYWORDS

sample likelihood, first order inclusion probability, two-step maximum likelihood method.

REFERENCES

BINDER, D. A., (1983). On the variances of asymptotically normal estimators from complex surveys. International Statistical Review, 51, 279–292.

CHAMBERS, R., SKINNER, C., (2003). Analysis of Survey Data. New York: John Wiley.

EIDEH, A. H., (2003). Estimation for Longitudinal Survey Data under Informative Sampling, PhD Thesis, Department of Statistics, Hebrew University of Jerusalem.

EIDEH, A. H., (2007). A Correction Note on Small Area Estimation. International Statistical Review. 75, 122–123.

EIDEH A. H., (2008). Estimation and Prediction of Random Effects Models for Longitudinal Survey Data under Informative Sampling. Statistics in Transition – New Series. Volume 9, Number 3, December 2008, pp. 485–502.

EIDEH A. H., (2009). On the use of the Sample Distribution and Sample Likelihood for Inference under Informative Probability Sampling. DIRASAT (Natural Science), Volume 36 (2009), Number 1, pp. 18–29.

EIDEH, A. H., (2010). Analytic Inference of Complex Survey Data under Informative Probability Sampling. Proceedings of the Tenth Islamic Countries Conference on Statistical Sciences (ICCS-X), Volume I. The Islamic Countries Society of Statistical Sciences, Lahore: Pakistan, (2010). Edited by: Zeinab Amin and Ali S. Hadi. The American University in Cairo: pp.507–536.

EIDEH, A. H., (2011). Informative Sampling on Two Occasions: Estimation and Prediction. Pakistan Journal of Statistics and Operation Research (PJSOR).Pak.j.stat.oper.res. VII No.2, 2011, pp. 283–303.

EIDEH, A. H., (2012a). Fitting Variance Components Model and Fixed Effects Model for One-Way Analysis of Variance to Complex Survey Data. Communications in Statistics – Theory and Methods, 41, pp. 3278–3300.

EIDEH, A. H., (2012b). Estimation and Prediction under Nonignorable Nonresponse via Response and Nonresponse Distributions. Journal of the Indian Society of Agriculture Statistics, 66(3) 2012, pp. 359-380.

EIDEH, A. H., NATHAN, G. (2006). Fitting Time Series Models for Longitudinal Survey Data under Informative Sampling. Journal of Statistical Planning and Inference, 136, 9, pp. 3052–3069. [Corrigendum, 137 (2007), p 628].

EIDEH, A. H., NATHAN, G., (2009). Two-Stage Informative Cluster Sampling with application in Small Area Estimation. Journal of Statistical Planning and Inference, 139, pp. 3088–3101.

KRIEGER, A. M, PFEFFERMANN, D., (1997). Testing of distribution functions from complex sample surveys. Journal of Official Statistics. 13: pp. 123–142.

MAGEE, L., ROBB, A. L., BURBIDGE, J. B., (1998). On the use of sampling weights when estimating regression models with survey data. Journal of Econometrics 84, 251–271.

PFEFFERMANN, D., KRIEGER, A. M, RINOTT, Y., (1998). Parametric distributions of complex survey data under informative probability sampling. Statistica Sinica 8: 1087–1114.

PFEFFERMANN, D., SVERCHKOV, M., (1999). Parametric and semi parametric estimation of regression models fitted to survey data. Sankhya, 61, B, 166–186.

PFEFFERMANN, D., SVERCHKOV, M., (2003). Fitting Generalized Linear Models under Informative Probability Sampling. In: Analysis of Survey Data. (Eds. R. Chambers and C. J. Skinner). New York: Wiley, pp. 175–195.

SARNDAL, C-E., SWENSSON, B., WRETMAN, J., (1992). Model assisted survey sampling, New York: Springer.

SKINNER, C. J., (1994). Sample models and weights. American Statistical Association Proceedings of the Section on Survey Research Methods, 133–142.

SKINNER, C. J., HOLT, D., SMITH, T. M. F (Eds.), (1989). Analysis of Complex Surveys, New York: Wiley.

SVERCHKOV, M., PFEFFERMANN, D., (2004). Prediction of finite population totals based on the sample distribution. Survey Methodology, 30, 79–92