Research Article

A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING

Volume: 30 Number: 3 September 20, 2017
EN

A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING

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

References

  1. Bankier M. (1988), Power allocation: Determining sample sizes for sub-national areas, The American Statistician, 42, 174-177.
  2. 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.
  3. Carroll J. (1970), Allocation of a sample between states. Unpublished memorandum, Australian Bureau of Census and Statistics.
  4. Chernyak A. (2001), Optimal allocation in stratified and double random sampling with a nonlinear cost function, Journal of Mathematical Sciences, 103(4): 525-528.
  5. Choudhry G. H., Rao J.N.K., Hidiroglou M. A. (2012), On sample allocation for efficient domain estimation, Survey Methodology, 38(1):23-29.
  6. Cochran W. G. (1977), Sampling techniques, John Willey and Sons Inc.
  7. Costa A, Satorra A., Venture E., (2004), Improving both domain and total area estimation by composition, SORT, 28, 69-86.
  8. Fellegi I. P. (1981), Should be census counts be adjusted for allocation purposes?-Equity

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Sinem Tuğba Şahin Tekin
GAZI UNIV
Türkiye

Yaprak Arzu Özdemir
GAZI UNIV
Türkiye

Cenker Burak Metin This is me
GAZI UNIV
Türkiye

Publication Date

September 20, 2017

Submission Date

February 23, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 30 Number: 3

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. https://izlik.org/JA53CN63XW
AMA
1.Şahin Tekin ST, Özdemir YA, Metin CB. A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science. 2017;30(3):181-194. https://izlik.org/JA53CN63XW
Chicago
Şahin Tekin, Sinem Tuğba, Yaprak Arzu Özdemir, and Cenker Burak Metin. 2017. “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”. Gazi University Journal of Science 30 (3): 181-94. https://izlik.org/JA53CN63XW.
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
[1]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, Sept. 2017, [Online]. Available: https://izlik.org/JA53CN63XW
ISNAD
Şahin Tekin, Sinem Tuğba - Özdemir, Yaprak Arzu - Metin, Cenker Burak. “A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING”. Gazi University Journal of Science 30/3 (September 1, 2017): 181-194. https://izlik.org/JA53CN63XW.
JAMA
1.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, Sept. 2017, pp. 181-94, https://izlik.org/JA53CN63XW.
Vancouver
1.Sinem Tuğba Şahin Tekin, Yaprak Arzu Özdemir, Cenker Burak Metin. A NEW COMPRIMISE ALLOCATION METHOD IN STRATIFIED RANDOM SAMPLING. Gazi University Journal of Science [Internet]. 2017 Sep. 1;30(3):181-94. Available from: https://izlik.org/JA53CN63XW