ManuScript Details
|
Paper Id:
|
IJCIRAS1655
|
|
Title:
|
VARIANCE ESTIMATION OF STRATIFIED SAMPLE MEAN ACCORDING TO APROXIMATED FREQUENCY STRATEGY
|
| Published in: |
International Journal Of Creative and Innovative Research In All Studies |
| Publisher: |
IJCIRAS |
| ISSN: |
2581-5334 |
| Volume / Issue: |
Volume 3 Issue 4 |
| Pages: |
6
|
| Published On: |
9/27/2020 10:59:24 PM (MM/dd/yyyy) |
| PDF Url: |
http://www.ijciras.com/PublishedPaper/IJCIRAS1655.pdf |
Main Author Details
|
Name:
|
Mohammed AlRifai |
| Institute: |
Statistics Centre Abu Dhabi (SCAD), UAE |
Co - Author Details
| Author Name |
Author Institute |
Abstract
|
Research Area:
|
Other (Here is not mention field inform to IJCIRAS) |
| KeyWord: |
Stratified Sampling, Sample Mean, Frequency Strategy method, Sample Allocation |
| Abstract: |
A stratified sample design plays an important role in obtaining efficient estimators comparing with other sampling designs; it based on dividing the statistical population into independent and homogeneous subpopulations called strata.
The determination of strata boundaries has interested role in obtaining efficient estimators, several strategies of strata formation were constructed, it is proved that the approximated frequency strategy Cum f^∝ at ∝ =1/2 is the most efficient method of strata formation, Serfling (1968). Several researches has discussed the development of this strategy through using different values of( ∝ ) , with different methods of sample allocations.
This article aims to discuss the optimality of the stratified sampling according to approximated frequency strategy based on the study variable Y as a variable of strata formation, by constructing formulas for the approximated variance of the stratified sampling mean, for different values of ∝ in the interval (0, 1), using equal allocation, proportionate allocation , and ,Neyman allocation method.
As a result, the article shows that at any value of ∝ the value of the variance of stratified sample mean in both of Neyman and equal allocation are same.
While the variance with Neyman allocation is less than the variance with proportional allocation. Therefore, it is recommended that the frequency strategy with Nyman allocation lead to more efficient estimator for population parameters than the proportional allocation method.
|
Citations
Copy and paste a formatted citation or use one of the links to import into a bibliography manager and reference.
|
IEEE
|
Mohammed AlRifai, "VARIANCE ESTIMATION OF STRATIFIED SAMPLE MEAN ACCORDING TO APROXIMATED FREQUENCY STRATEGY ", International Journal Of Creative and Innovative Research In All Studies,
vol. 3, no. 4, pp. 56-61, 2020.
|
|
MLA
|
Mohammed AlRifai "VARIANCE ESTIMATION OF STRATIFIED SAMPLE MEAN ACCORDING TO APROXIMATED FREQUENCY STRATEGY ." International Journal Of Creative and Innovative Research In All Studies,
vol 3, no. 4, 2020, pp. 56-61.
|
|
APA
|
Mohammed AlRifai (2020). VARIANCE ESTIMATION OF STRATIFIED SAMPLE MEAN ACCORDING TO APROXIMATED FREQUENCY STRATEGY . International Journal Of Creative and Innovative Research In All Studies,
3(4), 56-61.
|
VARIANCE ESTIMATION OF STRATIFIED SAMPLE MEAN ACCORDING TO APROXIMATED FREQUENCY STRATEGY
Number Of Downloads - 11
Last downloaded on 02/02/2021
