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A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING

Year 2017, Volume: 30 Issue: 3, 181 - 194, 20.09.2017

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).

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 Unpublished memorandum, Australian Bureau of Census and Statistics.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.
Year 2017, Volume: 30 Issue: 3, 181 - 194, 20.09.2017

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.
There are 11 citations in total.

Details

Journal Section Statistics
Authors

Sinem Tuğba Şahin Tekin

Yaprak Arzu Özdemir

Cenker Burak Metin This is me

Publication Date September 20, 2017
Published in Issue Year 2017 Volume: 30 Issue: 3

Cite

APA Şahin Tekin, S. T., Özdemir, Y. A., & Metin, C. B. (2017). A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science, 30(3), 181-194.
AMA Şahin Tekin ST, Özdemir YA, Metin CB. A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science. September 2017;30(3):181-194.
Chicago Şahin Tekin, Sinem Tuğba, Yaprak Arzu Özdemir, and Cenker Burak Metin. “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”. Gazi University Journal of Science 30, no. 3 (September 2017): 181-94.
EndNote Şahin Tekin ST, Özdemir YA, Metin CB (September 1, 2017) A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science 30 3 181–194.
IEEE S. T. Şahin Tekin, Y. A. Özdemir, and C. B. Metin, “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”, Gazi University Journal of Science, vol. 30, no. 3, pp. 181–194, 2017.
ISNAD Şahin Tekin, Sinem Tuğba et al. “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”. Gazi University Journal of Science 30/3 (September 2017), 181-194.
JAMA Şahin Tekin ST, Özdemir YA, Metin CB. A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science. 2017;30:181–194.
MLA Şahin Tekin, Sinem Tuğba et al. “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”. Gazi University Journal of Science, vol. 30, no. 3, 2017, pp. 181-94.
Vancouver Şahin Tekin ST, Özdemir YA, Metin CB. A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science. 2017;30(3):181-94.