On balanced half-sample variance estimation in stratified random sampling

Journal of the American Statistical Association

Volumn 91, Issue 433, 1996, Pages 343-348

  Rao, J N K ^a   Shao, J ^b  

^a CARLETON UNIVERSITY   (Canada)

^b University of Wisconsin   (United States)

Author keywords

Quantile estimation; Random grouping; Separate ratio estimator; Separate regression estimator

Indexed keywords

EID: 0041850235     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476694     Document Type: Article

References (11)

1. Cochran, W. G. (1977), Sampling Techniques (3rd ed.), New York: John Wiley.
2. Dippo, C. S., and Wolter, K. M. (1984), “A Comparison of Variance Estimators Using the Taylor Series Approximations,” in Proceedings of the Survey Research Methods Section, American Statistical Association, pp. 34-42.
3. Kish, L., and Frankel, M. R. (1970), “Balanced Repeated Replication for Standard Errors,” Journal of the American Statistical Association, 65, 1071-1094.
4. Krewski, D. (1978), “On the Stability of Some Replication Variance Estimators in the Linear Case,” Journal of Statistical Planning and Inference, 2, 45-51.
5. Krewski, D., and Rao, J. N. K. (1981), “Inference from Stratified Samples: Properties of the Linearization, Jackknife and Balanced Repeated Replication Methods,” The Armais of Statistics, 9, 1010-1019.
6. Norlen, U., and Waller, T. (1979), “Estimation in a Complex Survey- Experiences From a Survey of Buildings With Regard to Energy Usage,” Statistisk Hdshrift, 17, 111-124.
7. Press, W. H., Flannery, B. P., Teakolsky, S. A., and Vetterling, W. T. (1986), Numerical Recipes (for FORTRAN), New York: Cambridge University Press.
8. Shao, J., and Wu, C. F. J. (1992), “Asymptotic Properties of the Balance Repeated Replication Method for Sample Quantiles,” The Annals of Statistics, 20, 1571-1593.
9. Valliant, R. (1987), “Some Prediction Properties of Balanced Half-Sample Variance Estimators in Single-Stage Sampling,” Journal of the Royal Statistical Society, Ser. B, 49, 68-81.
10. Valliant, R. (1990), “Comparison of Variance Estimators in Stratified Random Sampling and Systematic Sampling,” Journal of Official Statistics, 6, 115-131.
11. Wolter, K. M. (1985), Introduction to Variance Estimation, New York: Springer-Verlag.