International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 118 | Views: 241 | Weekly Hits: ⮙2 | Monthly Hits: ⮙2

Research Paper | Statistics | Nigeria | Volume 8 Issue 11, November 2019 | Popularity: 7.2 / 10


     

Generalised Model of Optimum Stratification Allocation Size and Variance for Linear and Non-Linear Cost Function Considering Other Allocation Procedures

Oluwatosin Bamidele Fajana, Funmilayo Adenike Fadiji


Abstract: In this paper, consideration is given to a generalised model for optimum allocation of multivariate sampling with linear and nonlinear cost function given that there is only one varying cost, the problem of determining the optimum allocation are formulated as a generalized programming problem and solved using Lagrange multiplier technique to minimize the variance subject to a given cost. A generalized sample size and variance is derived and other factors like when the cost is constant, when the sample size for a given cost is not known, when the sample size for a specified variance is not known and when a proportional allocation or equal allocation is required for a given cost and a proportionality constant is considered. Data from the sample frame of the final result of 1991 census of Owo local government area of Ondo State which encompasses of 117 localities is extracted from the National Population Commission (NPC), its inhabitants is used as character of study for the purpose of numerical illustration.


Keywords: Optimum allocation, sample size, cost function


Edition: Volume 8 Issue 11, November 2019


Pages: 1406 - 1411



Make Sure to Disable the Pop-Up Blocker of Web Browser




Text copied to Clipboard!
Oluwatosin Bamidele Fajana, Funmilayo Adenike Fadiji, "Generalised Model of Optimum Stratification Allocation Size and Variance for Linear and Non-Linear Cost Function Considering Other Allocation Procedures", International Journal of Science and Research (IJSR), Volume 8 Issue 11, November 2019, pp. 1406-1411, https://www.ijsr.net/getabstract.php?paperid=ART20201453



Similar Articles

Downloads: 0

Dissertation Chapters, Statistics, India, Volume 11 Issue 12, December 2022

Pages: 502 - 507

Impact of Demographic Variables on Buying Behaviour of Life Insurance Policy: An Empirical Study

K. Navatha, V. V Hara Gopal

Share this Article

Downloads: 2 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1

Research Paper, Statistics, Nigeria, Volume 10 Issue 12, December 2021

Pages: 257 - 260

On Comparative Analysis of Optimum Allocation Procedures in a Multivariate Stratified Sampling

Mohammad Idris Umar, Rabo Yahaya Saidu, Ibrahim Y Adamu, Audi Najib

Share this Article

Downloads: 2 | Weekly Hits: ⮙2 | Monthly Hits: ⮙2

Analysis Study Research Paper, Statistics, India, Volume 11 Issue 11, November 2022

Pages: 138 - 142

The Effect of Non-Normality and Measurement Error on the Economic Design of X Control Chart

J. R. Singh, N. Singh

Share this Article

Downloads: 4 | Weekly Hits: ⮙4 | Monthly Hits: ⮙4

Research Paper, Statistics, Saudi Arabia, Volume 12 Issue 8, August 2023

Pages: 2383 - 2390

Analyzing the Impact of Sample Size and Population Distribution on Statistical Test Power

Ashraf Hassan Idris Brama, Monastir Abbas Ahmed

Share this Article

Downloads: 107

Research Paper, Statistics, Kenya, Volume 3 Issue 8, August 2014

Pages: 2081 - 2087

Jackknife Variance Estimation of Uniformly Minimum Variance Unbiased Estimates and the Maximum Likelihood Estimates for the Gamma Probability Density Function

Lillian A. Oluoch, Leo O. Odongo

Share this Article



Top