Bayesian One- Way Repeated Measurements Model Based on Bayes Quadratic Unbiased Estimator

Authors

  • Ameera Jaber Mohaisen
  • Abdulhussein Saber AL-Mouel

DOI:

https://doi.org/10.24297/jam.v13i2.6036

Keywords:

Repeated Measurements Model, ANOVA, Mixed Model, Bayes Quadratic Unbiased Estimator, prior distribution, loss function, risk function

Abstract

In this paper, bayesian approach based on Bayes quadratic unbiased estimator is employed to the linear one- way repeated measurements model which has only one within units factor and one between units factor incorporating univariate random effects as well as the experimental error term. The prior information obtained by using variance analysis technique to represent prior estimates of the parameters of the model. Then, the prior distribution is considered as a uniform distribution.

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Author Biographies

Ameera Jaber Mohaisen

Mathematics Department

College of Education for Pure Science

AL-Basrah University-Iraq

Abdulhussein Saber AL-Mouel

Mathematics Department

College of Education for Pure Science

AL-Basrah University-Iraq

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Published

2017-04-06

How to Cite

Mohaisen, A. J., & AL-Mouel, A. S. (2017). Bayesian One- Way Repeated Measurements Model Based on Bayes Quadratic Unbiased Estimator. JOURNAL OF ADVANCES IN MATHEMATICS, 13(2), 7176–7181. https://doi.org/10.24297/jam.v13i2.6036

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Articles