Balanced repeated replication
Balanced repeated replication is a statistical technique for estimating the sampling variability of a statistic obtained by stratified sampling.
Fay's method
Fay's method is a generalization of BRR. Instead of simply taking half-size samples, we use the full sample every time but with unequal weighting: k for units outside the half-sample and 2 − k for units inside it. (BRR is the case k = 0.) The variance estimate is then V/(1 − k)2, where V is the estimate given by the BRR formula above.
See also
References and external links
- Balanced Repeated Replication, from the American Institutes for Research
- Mccarthy, P. J. (1969). Pseudo-replication: Half samples. Review of the International Statistical Institute, 37 (3), 239-264
- Krewski, D. and J. N. K. Rao (1981). Inference from stratified samples: Properties of the linearization, jackknife and balanced repeated replication methods. The Annals of Statistics, 9 (5), 1010-1019.
- Judkins, D. R. (1990). Fay's method for variance estimation. Journal of Official Statistics, 6 (3), 223-239.
- Rao, J. N. K. and C. F. J. Wu (1985). Inference from stratified samples: Second-order analysis of three methods for nonlinear statistics. Journal of the American Statistical Association, 80 (391), 620-630.