Open AccessBayesian One- Way Repeated Measurements Model Based on Bayes Quadratic Unbiased Estimator
Author(s) -
Ameera Jaber Mohaisen,
Abdulhussein Saber AL-Mouel
Publication year - 2017
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v13i2.6036
Subject(s) - mathematics , minimum variance unbiased estimator , bias of an estimator , bayes factor , prior probability , bayes estimator , statistics , efficient estimator , univariate , estimator , bayesian probability , bayes' theorem , multivariate statistics
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.