Ranked set sampling approach for estimating response of developmental programs with linear impacts under successive phases

Girish Chandra, Rajiv Pandey, D. S. Bhoj, Raman Nautiyal, Jawaid Ashraf, Med Ram Verma

Research output: Contribution to journalArticle

Abstract

The problem of estimation is motivated by some studies from the area of developmental programs management to be implemented by the government and non-government organizations under different phases. The examples of such programs are educational programs, women empowerment programs for enhancing gross enrollment ratio in a region. There are two important variables in such programs. One of the variables is called the survey variable. The survey variable changes under the impact of the program over different phases and is termed as the response variable. In our study, we consider linear impacts of the programs under successive phases and multiplicative model which relates the response and survey variables. The management of the programs is interested in estimation of the mean of the response variable. Therefore, in this paper, we propose an unbiased estimator of the population mean of the response variable by using ranked set sampling procedure on the survey variable. The estimator is then compared with the estimator based on simple random sample (SRS). The relative precisions of the proposed estimator with the estimator based on SRS are computed for some symmetric and skew distributions. It is shown that the gains in relative precisions of the proposed estimator are substantial for all sample sizes and the chosen distributions. We applied the formulas derived in this paper to one real life example from India‟s report, Education for all towards quality with equity, of National University of Education Planning and Administration, New Delhi, 2014.

Original languageEnglish (US)
Pages (from-to)163-176
Number of pages14
JournalPakistan Journal of Statistics
Volume34
Issue number2
StatePublished - Mar 2018

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Keywords

  • Impact evaluation
  • Order statistics
  • Relative precision
  • Skewed distribution
  • Symmetric distribution

Fingerprint Dive into the research topics of 'Ranked set sampling approach for estimating response of developmental programs with linear impacts under successive phases'. Together they form a unique fingerprint.

Cite this