Advertisement

Journal of Statistical Theory and Practice

, Volume 5, Issue 2, pp 231–239 | Cite as

Simple Random Sampling Equivalent Survey Design for the Elimination of Undesirable Samples

  • Ila Pant Bisht
  • Raj Kishor Bisht
Article

Abstract

In this article, we have shown that for any finite population of size N and any sample of size n, we can have a survey plan of size n that assigns a zero selection probability to those samples which contain all the undesirable units. Further, applying certain conditions, it has been shown that the proposed plan is equivalent to simple random sampling plan (SRS) of size n without replacement in terms of first and second order inclusion probabilities. After eliminating the samples containing all undesirable units, we have also tried to maximize the probability of those samples which contain maximum number of desirable units. Utility of the proposed procedure is demonstrated with the help of real examples.

AMS Subject Classification

62D05 

Key-words

Controlled sampling Linear programming approach Non-preferred samples Simple random sampling 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Chang, H.J., Wang, C.L., Huang, K.C., 2004. Simple random sample equivalent survey designs reducing undesirable units from a finite population. Statistical Papers, 45, 287–295.MathSciNetCrossRefGoogle Scholar
  2. Cochran, W.G., 1999. Sampling Techniques. Wiley, New York.MATHGoogle Scholar
  3. Goodman, R., Kish, L., 1950. Controlled selection - a technique in probability sampling. Journal of American Statistical Association, 45, 350–372.Google Scholar
  4. Hedayat, A.S., Robieson, W.Z., 1998. Exclusion of an undesirable sample from the support of a simple random sample. The American Statistician, 52(1), 41–43.MathSciNetGoogle Scholar

Copyright information

© Grace Scientific Publishing 2011

Authors and Affiliations

  1. 1.Department of Economics and Statistics, Government of UttarakhandDivisional officeHaldwaniIndia
  2. 2.Department of Computer ScienceAmrapali Institute of Management and Computer ApplicationHaldwaniIndia

Personalised recommendations