A COMPARISON OF APPROXIMATE OPTIMAL STRATIFICATION WITH OTHER METHODS OF STRATIFICATION USING PROPORTIONAL ALLOCATION

A. AL-Sakkal, Ghadah and Abdul Razak Al Hasso, Talal and Muhammed Al-Kassab, Mowafaq (2024) A COMPARISON OF APPROXIMATE OPTIMAL STRATIFICATION WITH OTHER METHODS OF STRATIFICATION USING PROPORTIONAL ALLOCATION. Advances and Applications in Statistics, 91 (9). pp. 1137-1151. ISSN 0972-3617

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Abstract

One of the main reasons in stratification is to get more accurate estimates by producing gain in the precision of these estimates. To achieve this, we can determine the optimum stratum boundaries. Many procedures were developed to obtain this optimum boundary, and several approximate rules proposed as a result of the complicated calculation involved in solving the theoretical equations to obtain the optimum points of stratification. In this article, we present a comparison between the cumulative f6/7 suggested by the authors with other given approximate methods suggested previously. Uniform, right triangular, exponential, normal and chi-square distributions are compared. For certain values of the parameters of these distributions, the cumulative f6/7 method is favorable compared with these approximate optimal stratification methods.

Item Type: Article
Uncontrolled Keywords: proportional allocation, stratification, optimum stratum boundaries, cumulative frequency, efficiency
Subjects: Q Science > QA Mathematics
Engineering > Technology & Engineering
Depositing User: ePrints deposit
Date Deposited: 27 Aug 2024 13:16
Last Modified: 27 Aug 2024 13:16
URI: http://eprints.tiu.edu.iq/id/eprint/1490

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