Abstract
Sample
size of the strata is determined by the help of some allocation methods in
Stratified Random Sampling. Most of the allocation methods ignore the selection
cost. However, in real life applications it is very rare to come across such
situations. In this study, a new compromise allocation method is proposed by
adding a non-linear cost function constraint to Costa et al.(2004) method.
Using this new allocation, the sample size with linear cost constraint is also
obtained. The performance of the proposed method is studied utilizing the data
from Statistics Canada’s Monthly Retail Trade Survey (MRTS) of single
establishments used by Choudhry et al. (2012).
Keywords
Stratified Random Sampling Compromise Allocation Neyman Allocation Optimum Allocation Non-linear Cost Function
References
- Bankier M. (1988), Power allocation: Determining sample sizes for sub-national areas, The American Statistician, 42, 174-177.
- Bretthauer K. M., Ross A., Shetty B. (1999), Nonlinear integer programming for optimal allocation in stratified sampling, European Journal of Operational Research, 116:667-680.
- Carroll J. (1970), Allocation of a sample between states. Unpublished memorandum, Australian Bureau of Census and Statistics.
- Chernyak A. (2001), Optimal allocation in stratified and double random sampling with a nonlinear cost function, Journal of Mathematical Sciences, 103(4): 525-528.
- Choudhry G. H., Rao J.N.K., Hidiroglou M. A. (2012), On sample allocation for efficient domain estimation, Survey Methodology, 38(1):23-29.
- Cochran W. G. (1977), Sampling techniques, John Willey and Sons Inc.
- Costa A, Satorra A., Venture E., (2004), Improving both domain and total area estimation by composition, SORT, 28, 69-86.
- Fellegi I. P. (1981), Should be census counts be adjusted for allocation purposes?-Equity
- considerations, In Current Topics in Survey Sampling, eds. D. Krewski, R. Platek, and
- J.N.K. Rao, New York: Academic Press, pp. 47-76.
- Longford N. T., (2006), Sample size calculation for small-area estimation, Survey Methodology, 32, 87-96.
Abstract
References
- Bankier M. (1988), Power allocation: Determining sample sizes for sub-national areas, The American Statistician, 42, 174-177.
- Bretthauer K. M., Ross A., Shetty B. (1999), Nonlinear integer programming for optimal allocation in stratified sampling, European Journal of Operational Research, 116:667-680.
- Carroll J. (1970), Allocation of a sample between states. Unpublished memorandum, Australian Bureau of Census and Statistics.
- Chernyak A. (2001), Optimal allocation in stratified and double random sampling with a nonlinear cost function, Journal of Mathematical Sciences, 103(4): 525-528.
- Choudhry G. H., Rao J.N.K., Hidiroglou M. A. (2012), On sample allocation for efficient domain estimation, Survey Methodology, 38(1):23-29.
- Cochran W. G. (1977), Sampling techniques, John Willey and Sons Inc.
- Costa A, Satorra A., Venture E., (2004), Improving both domain and total area estimation by composition, SORT, 28, 69-86.
- Fellegi I. P. (1981), Should be census counts be adjusted for allocation purposes?-Equity
- considerations, In Current Topics in Survey Sampling, eds. D. Krewski, R. Platek, and
- J.N.K. Rao, New York: Academic Press, pp. 47-76.
- Longford N. T., (2006), Sample size calculation for small-area estimation, Survey Methodology, 32, 87-96.
Details
| Journal Section | Statistics |
|---|---|
| Authors | |
| Publication Date | September 20, 2017 |
| Published in Issue | Year 2017 Volume: 30 Issue: 3 |