Estimation Methods for Three-Way Repeated Measurements Model

Author:

Al-Kanan Fatima H.

Abstract

In this paper, we study two estimation methods for a three-way repeated measurements model. We estimated the variance components by using the maximum likelihood method and penalized likelihood method. We determine the moments of each estimator, also we define the likelihood ratio test statistic. We look at the various factors that contribute to accuracy, such as sample size, and biased estimation.

Publisher

College of Education for Pure Science, University of Basrah

Reference15 articles.

1. A. J. Mohaisen, k. A. Swadi, "A note on baysian one-way repeated measurements model", Mathematical theory and modeling, vol. 4, pp. 106-115, 2014.

2. H. A. Kori, A. H. Al-Mouel, "Conditional properties of estimators of repeated measurements model (type I)", Eurasian journal of physics, chemistry and mathematics, vol. 1, pp. 39-52, 2021.

3. A. H. Al-Mouel, F. H. Al-Kanan, "A penalized likelihood estimator for variance components in repeated measurements model", Basrah journal of science, vol.39, pp. 192-203, 2021.

4. J. M. Al-Isawi, A. H. Al-Mouel, A. H. Ali, "Bayes quadratic unbiased estimator of variance component in multi-samples repeated measurements ANOVA model (Multi-RMM)", Journal of statistics and management system, vol. 25, pp. 697-07, 2022.

5. A. H. Al-Mouel, J. M. Jassim, "Two-way multivariate repeated measurements analysis of variance model", Journal of Basrah Researches (science), vol. 32, pp. 17-32, 2006.‏

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