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A COMPARISON OF APPROXIMATE OPTIMAL STRATIFICATION WITH OTHER METHODS OF STRATIFICATION USING PROPORTIONAL ALLOCATION
Keywords:
proportional allocation, stratification, optimum stratum boundaries, cumulative frequency, efficiencyDOI:
https://doi.org/10.17654/0972361724060Abstract
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 $f^{6/7}$ 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 $f^{6/7}$ method is favorable compared with these approximate optimal stratification methods.
Received: May 30, 2024
Accepted: July 11, 2024
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