346
Views
8
CrossRef citations to date
0
Altmetric
Articles

Optimum allocation in multivariate stratified sampling design in the presence of nonresponse with Gamma cost function

ORCID Icon &
Pages 2454-2467 | Received 11 Feb 2019, Accepted 15 May 2019, Published online: 25 May 2019

References

  • Tschuprow AA. On the mathematical expectation of the moments of frequency distributions in the case of correlated observations. Metron. 1923;2(1):646–683.
  • Neyman J. On the two different aspects of the representative method: the method of stratified sampling and the method of purposive selection. J R Stat Soc. 1934;97(4):558–625. doi: 10.2307/2342192
  • Cochran WG. Sampling techniques. New York (NY): John Wiley; 1977.
  • Sukhatme PV, Sukhatme BV, Sukhatme S, Asok C. Sampling theory of surveys with applications. Iowa: Iowa State University Press; 1984. Indian Society of Agricultural Statistics New Delhi, India.
  • Kokan AR, Khan SU. Optimum allocation in multivariate surveys: an analytical solution. J R Stat Soc Ser. 1967;29:115–125.
  • Dalenius T. Sampling in Sweden: contributions to the methods and theories of sample survey practice. Stockholm: Almqvist Och Wiksell; 1957.
  • Yates F. Sampling methods for census and surveys. Charles Griffin and Co; 1960.
  • Chatterjee S. Multivariate stratified surveys. J Am Stat Assoc. 1968;63:530–534.
  • Khan MGM, Ahsan MJ, Jahan N. Compromise allocation in multivariate stratified sampling: an integer solution. Nav Res Log. 1997;44(1):69–79. doi: 10.1002/(SICI)1520-6750(199702)44:1<69::AID-NAV4>3.0.CO;2-K
  • Ali I, Shafiullah, Haseen S. Geometric programming approach in multivariate stratified sample surveys in case of nonresponse. Electron J Appl Stat Anal. 2015;8(1):28–43.
  • Shafiullah, Khan MF, Ali I. Fuzzy geometric programming in multivariate stratified sample surveys in presence of nonresponse with quadratic cost function. Am J Oper Res. 2014;4:173–188. doi: 10.4236/ajor.2014.43017
  • Varshney R, Khan MGM, Fatima U, Ahsan MJ. Integer compromise allocation in multivariate stratified surveys. Ann Oper Res. 2015;226:659–668. doi: 10.1007/s10479-014-1734-z
  • Varshney R, Gupta S, Ali I. An optimum multivariate multiobjective stratified sampling design: fuzzy programming approach. Pakistan J Stat Oper Res. 2017;4:829–855. doi: 10.18187/pjsor.v13i4.1834
  • Haseen S, Ali I, Bari A. Multiobjective stochastic multivariate stratified sampling in presence of nonresponse. Commun Stat – Simul C. 2016;45(8):2810–2826. doi: 10.1080/03610918.2014.926173
  • Raghav YS, Khan MF, Khalil S. Sample allocation problem in multiobjective multivariate stratified sample survey under two stage randomized response model. J Math Comput Sci. 2017;6:1074–1089.
  • Ansari AH, Varshney R, Ahsan MJ. Compromise mixed allocation in multivariate stratified sampling using dynamic programming technique. J Adv Stat. 2018;3(4):71–79. doi: 10.22606/jas.2018.34003
  • Hansen MH, Hurwitz WN. The problem of nonresponse in sample surveys. J Am Stat Assoc. 1946;41(236):517–529. doi: 10.1080/01621459.1946.10501894
  • Varshney R, Ahsan MJ, Khan MGM. An optimum multivariate stratified sampling design with nonresponse: a lexicographic goal programming approach. J Math Mod Alg. 2011;10:393–405. doi: 10.1007/s10852-011-9164-2
  • Varshney R, Najmussehar, Ahsan MJ. An optimum multivariate stratified double sampling design in presence of non-response. Optim Lett. 2012;6:993–1008. doi: 10.1007/s11590-011-0329-8
  • Khan MGM, Khan EA, Ahsan MJ. Optimum allocation in multivariate stratified sampling in presence of nonresponse. J Indian Soc Agric Stat. 2008;62(1):42–48.
  • Hogg RV, Craig AT. Introduction to mathematical statistics. 4th ed. New York: Macmillan Publishing Co., Inc; 1978.
  • Krysan M, Schuman H, Scott LJ, Beatty P. Response rates and response content in mail versus face-to-face surveys. Public Opin Quart. 1994;58(3):381–399. doi: 10.1086/269433
  • Ross SM. Introduction to probability and statistics for engineers and scientists. 4th ed. Burlington (MA): Associated Press; 2009; ISBN:978-0-12-370483-2.
  • Muhammad YS, Shabir J, Husain I, Abd-el.Moemen M. Multiobjective compromise allocation in multivariate stratified sampling using extended lexicographic goal programming with Gamma cost function. J Math Mod Alg. 2015;14(3):255–265. doi: 10.1007/s10852-014-9270-z
  • Díaz-García JA, Cortez LU. Optimum allocation in multivariate stratified sampling: multiobjective programming. 2006. (Comunicación Técnica No I-06-07/28-03-206 (PE/CIMAT)).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.