Cite this article:
Shukla, Dubey (2005). Mean Estimation in Presence of Groupin of Strata Based on Response Pattern. Journal of Ravishankar University (Part-B: Science), 18(1), pp.69-82.
Journal
of Ravishankar University Vol. 18 No. B
(Science) 2005 pp.69-82 ISSN: 0970-5910
Mean Estimation in Presence of Groupin of Strata
Based
on Response Pattern
Diwakar Shukla*
and Jayant
Dubey**
•Department of Mathematics and Statistics. Dr. H.S.Gour Vishwavidyalaya
Sagar (M.P.). 470003,
INDIA
"ICFAI National
College.
Civil
lines, Sagar (M.P.). 470001.
INDIA
MS Received : 0310812004 Revised : 03/05/05 Accepted:
08/0612005
Abstract:
In usual stratified design, it is assume that strata sizes are known
as well as strata frames
are also available. When frames are unknown the
post-stratification is only solution. Agrawal and Panda (1993)
have suggested
efficient estimator for the population mean under the post stratified
set-up. Shukla and Dubey (2001) have considered a
mail survey design under the nonresponse
set-up
and proposed a PSNR strategy for estimating the population mean.
Sometimes, the
response between strata
has a pattern like the strata
of farmers
has no response but the strata
of students
generates cent-percent response. This pattern. if priory
known. could be utilized
in estimation strategies. This paper exploits information of response pattern and presents PSNR sampling scheme with
the
grouping
of strata under the
case
of complete response
and complete nonresponse. An estimation strategy is constituted for the population
mean
and its variance is derived.
A cost
strategy is
proposed and numerically supported by the data base studies.
Keywords: Very nearly complete response (CR). Ver nearly non-response (NA). Partial non-response (PNR).
Post-stratified non-response (PSNR). Respondents
(RS). Non-respondents (NRS),
Earmarked strata,
optimum
cost.
NOTE: Full version
of this manuscript is available in PDF.