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An Approximate Confidence Interval for the Variance of Random Effects of One-Way Analysis of Variance in the Completely Randomized Design

Author

Listed:
  • Reham Alamro
  • Abdullah A. M. Al-Shiha
  • Amal Almohisen

Abstract

We proposed three methods to find an approximate confidence interval for the variance of the random effects for a one-way analysis of the variance model in completely randomized design. We compared the proposed methods with some other methods reported in the literature. Several criteria are used for the empirical comparisons- the mean width of the confidence interval, the variance of the width, and the coverage probability. We use Simulation and Monte-Carlo techniques to perform the comparison study. We use R language to facilitate the simulation procedures. We found that one of the proposed methods was in general superior to the others.

Suggested Citation

  • Reham Alamro & Abdullah A. M. Al-Shiha & Amal Almohisen, 2025. "An Approximate Confidence Interval for the Variance of Random Effects of One-Way Analysis of Variance in the Completely Randomized Design," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 12(4), pages 1-40, January.
    • Handle: RePEc:ibn:ijspjl:v:12:y:2025:i:4:p:40
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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