Bayesian sample size determination for coefficient of variation of normal distribution

Sajid Ali, Mariyam Waheed, Ismail Shah and Syed Muhammad Muslim Raza

Journal of Applied Statistics, 2024, vol. 51, issue 7, 1271-1286

Abstract: Sample size determination is an active area of research in statistics. Generally, Bayesian methods provide relatively smaller sample sizes than the classical techniques, particularly average length criterion is more conventional and gives relatively small sample sizes under the given constraints. The objective of this study is to utilize major Bayesian sample size determination techniques for the coefficient of variation of normal distribution and assess their performance by comparing the results with the freqentist approach. To this end, we noticed that the average coverage criterion is the one that provides relatively smaller sample sizes than the worst outcome criterion. By comparing with the existing frequentist studies, we show that a smaller sample size is required in Bayesian methods to achieve the same efficiency.

Date: 2024
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DOI: 10.1080/02664763.2023.2197571

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