References
- Cochran, W. G. 1946. Relative accuracy of systematic and stratified random samples for a certain class of populations. The Annals of Mathematical Statistics 17 (2):164–77. doi:https://doi.org/10.1214/aoms/1177730978.
- Cochran, W. G. 1977. Sampling techniques. New York: John Willey & Sons.
- Dalenius, T. 1950. The problem of optimum stratification-I. Scandinavian Actuarial Journal 1950 (3–4): 203–13. doi:https://doi.org/10.1080/03461238.1950.10432042.
- Dalenius, T., and M. Gurney. 1951. The problem of optimum stratification-II. Scandinavian Actuarial Journal 1951 (1–2):133–48. doi:https://doi.org/10.1080/03461238.1951.10432134.
- Ekman, G. 1959a. An approximation useful in univariate stratification. The Annals of Mathematical Statistics 30 (1):219–29. doi:https://doi.org/10.1214/aoms/1177706377.
- Ekman, G. 1959b. Approximate expressions for the conditional mean and variance over small intervals of a continuous distribution. The Annals of Mathematical Statistics 30 (4):1131–34. doi:https://doi.org/10.1214/aoms/1177706096.
- Gupt, B. K. 2003. Sample size allocation for stratified sampling under a correlated superpopulation model. METRON—International Journal of Statistics LXI (1):35–52.
- Gupt, B. K. 2012. Allocation of sample size in stratified sampling under superpopulation models. Saarbrucken: LAP LAMBERT Academic Publishing AV Akademikerverlag GmbH & Co.KG.
- Gupt, B. K., and T. J. Rao. 1997. Stratified PPS sampling and allocation of sample size. Journal of the Indian Society of Agricultural Statistics 50 (2):199–208.
- Hanurav, T. V. 1965. Optimum sampling strategies and some related problems. Ph.D. Thesis submitted to the Indian Statistical Institute.
- Johnston, J., and J. DiNardo. 2007. Econometric methods, 4th ed. Singapore: McGraw.
- Neyman, J. 1934. On two different aspects of the representative method: the method of stratified sampling and the method of purposive selection. Journal of the Royal Statistical Society 97 (4):558–625.
- Rao, T. J. 1968. On the allocation of sample size in stratified sampling. Annals of the Institute of Statistical Mathematics 20 (1):159–66. doi:https://doi.org/10.1007/BF02911631.
- Singh, R. 1975a. On optimum stratification for proportional allocation. Sankhya 37C, Pt. I:109–15.
- Singh, R. 1975b. A note on optimum stratification in sampling with varying probabilities. Australian Journal of Statistics 17 (1):12–21. doi:https://doi.org/10.1111/j.1467-842X.1975.tb01368.x.
- Singh, R., and B. V. Sukhatme. 1969. Optimum stratification. Annals of the Institute of Statistical Mathematics 21 (1):515–28. doi:https://doi.org/10.1007/BF02532275.
- Taga, Y. 1967. On optimum stratification for the objective variable based on concomitant variable. Annals of the Institute of Statistical Mathematics 19: 101–30.
- Tschuprow, A. A. 1923. On mathematical expectation of the moments of frequency distributions in the case of correlated observations. Metron 2: 461–93.
- Yadava, S. S., and R. Singh. 1984. Optimum stratification for allocation proportional to strata totals for simple random sampling scheme. Communications in Statistics: Theory and Methods 13 (22):2793–806. doi:https://doi.org/10.1080/03610928408828861.