In sampling, we have interest in precision and in order to create the precision, we make use of prior knowledge of the population. We try to put the population into series of homogeneous groups and by this, the precision will be increased. When the population of interest can be divided into k homogeneous groups and the sample of observation is taken from each group, we have a stratified random sample and each group is called a stratum. The study was therefore designed to investigate the efficiency of Neyman allocation procedure over equal and proportional allocations. The data used for this research were primary data collected from ten Markets in Abeokuta, Ogun State, Nigeria on the prices of Peak Milk (Nigeria made). A stratified random sampling scheme was used in selecting 10 markets in Abeokuta, Ogun State, Nigeria. Each market stands as a stratum. From each stratum, independent sample was selected randomly based on equal, proportional and Neyman/Optimum allocation procedures. Statistic was obtained from each stratum and combined estimate of the separate statistic was also obtained for each of the allocation procedure. Considering the analysis and estimates obtained, the mean and variance under Neyman allocation procedure were 1356.672 and 21.45 respectively. For proportional allocation, the mean was 1349.3069 and variance was 38.98 while equal allocation gave mean of 1352 and variance of 170.3238. Neyman/Optimum allocation procedure gave the least variance. This was followed by Proportional allocation and Equal allocation. Neyman allocation procedure is the best selection procedure. Hence, for estimating the average and the variance of the prices of Peak Milk (Nigeria Made) in the markets in Abeokuta, of all the three sample allocation procedures considered in this paper, Neyman allocation procedure is the best and hence the most efficient.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 2, Issue 5) |
| DOI | 10.11648/j.ajtas.20130205.12 |
| Page(s) | 122-127 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2013. Published by Science Publishing Group |
Efficiency, Stratified Random Sampling, Neyman Allocation, Procedure
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APA Style
Olayiwola Olaniyi Mathew, Apantaku Fadeke Sola, Bisira Hammed Oladiran, Adewara Adedayo Amos. (2013). Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling. American Journal of Theoretical and Applied Statistics, 2(5), 122-127. https://doi.org/10.11648/j.ajtas.20130205.12
ACS Style
Olayiwola Olaniyi Mathew; Apantaku Fadeke Sola; Bisira Hammed Oladiran; Adewara Adedayo Amos. Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling. Am. J. Theor. Appl. Stat. 2013, 2(5), 122-127. doi: 10.11648/j.ajtas.20130205.12
AMA Style
Olayiwola Olaniyi Mathew, Apantaku Fadeke Sola, Bisira Hammed Oladiran, Adewara Adedayo Amos. Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling. Am J Theor Appl Stat. 2013;2(5):122-127. doi: 10.11648/j.ajtas.20130205.12
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Download@article{10.11648/j.ajtas.20130205.12,
author = {Olayiwola Olaniyi Mathew and Apantaku Fadeke Sola and Bisira Hammed Oladiran and Adewara Adedayo Amos},
title = {Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {2},
number = {5},
pages = {122-127},
doi = {10.11648/j.ajtas.20130205.12},
url = {https://doi.org/10.11648/j.ajtas.20130205.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20130205.12},
abstract = {In sampling, we have interest in precision and in order to create the precision, we make use of prior knowledge of the population. We try to put the population into series of homogeneous groups and by this, the precision will be increased. When the population of interest can be divided into k homogeneous groups and the sample of observation is taken from each group, we have a stratified random sample and each group is called a stratum. The study was therefore designed to investigate the efficiency of Neyman allocation procedure over equal and proportional allocations. The data used for this research were primary data collected from ten Markets in Abeokuta, Ogun State, Nigeria on the prices of Peak Milk (Nigeria made). A stratified random sampling scheme was used in selecting 10 markets in Abeokuta, Ogun State, Nigeria. Each market stands as a stratum. From each stratum, independent sample was selected randomly based on equal, proportional and Neyman/Optimum allocation procedures. Statistic was obtained from each stratum and combined estimate of the separate statistic was also obtained for each of the allocation procedure. Considering the analysis and estimates obtained, the mean and variance under Neyman allocation procedure were 1356.672 and 21.45 respectively. For proportional allocation, the mean was 1349.3069 and variance was 38.98 while equal allocation gave mean of 1352 and variance of 170.3238. Neyman/Optimum allocation procedure gave the least variance. This was followed by Proportional allocation and Equal allocation. Neyman allocation procedure is the best selection procedure. Hence, for estimating the average and the variance of the prices of Peak Milk (Nigeria Made) in the markets in Abeokuta, of all the three sample allocation procedures considered in this paper, Neyman allocation procedure is the best and hence the most efficient.},
year = {2013}
}
TY - JOUR T1 - Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling AU - Olayiwola Olaniyi Mathew AU - Apantaku Fadeke Sola AU - Bisira Hammed Oladiran AU - Adewara Adedayo Amos Y1 - 2013/08/30 PY - 2013 N1 - https://doi.org/10.11648/j.ajtas.20130205.12 DO - 10.11648/j.ajtas.20130205.12 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 122 EP - 127 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20130205.12 AB - In sampling, we have interest in precision and in order to create the precision, we make use of prior knowledge of the population. We try to put the population into series of homogeneous groups and by this, the precision will be increased. When the population of interest can be divided into k homogeneous groups and the sample of observation is taken from each group, we have a stratified random sample and each group is called a stratum. The study was therefore designed to investigate the efficiency of Neyman allocation procedure over equal and proportional allocations. The data used for this research were primary data collected from ten Markets in Abeokuta, Ogun State, Nigeria on the prices of Peak Milk (Nigeria made). A stratified random sampling scheme was used in selecting 10 markets in Abeokuta, Ogun State, Nigeria. Each market stands as a stratum. From each stratum, independent sample was selected randomly based on equal, proportional and Neyman/Optimum allocation procedures. Statistic was obtained from each stratum and combined estimate of the separate statistic was also obtained for each of the allocation procedure. Considering the analysis and estimates obtained, the mean and variance under Neyman allocation procedure were 1356.672 and 21.45 respectively. For proportional allocation, the mean was 1349.3069 and variance was 38.98 while equal allocation gave mean of 1352 and variance of 170.3238. Neyman/Optimum allocation procedure gave the least variance. This was followed by Proportional allocation and Equal allocation. Neyman allocation procedure is the best selection procedure. Hence, for estimating the average and the variance of the prices of Peak Milk (Nigeria Made) in the markets in Abeokuta, of all the three sample allocation procedures considered in this paper, Neyman allocation procedure is the best and hence the most efficient. VL - 2 IS - 5 ER -
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