Bayes estimation of random three-way analysis of variance linear with interaction
JOURNAL OF EDUCATION AND SCIENCE,
2013, Volume 26, Issue 1, Pages 162-178
The papear deals with the estimation of parameters random of effect three-way analysis of variance linear with interaction. The present study includes eight parameters which represent variance component of factor effect A, of factor effect B, of factor effect C, of
between the factors AB, variance component of interaction effect between the factors AC, variance component of interaction effect between the factors BC, variance component of random line effect between the factors ABC and variance component of random erorr. These parameters have been estimated by using Bayes Quadratic Unbiased Estimator (BAQUE). Prior information have been assumed as data obtained by using variance analysis, and the prior probability distribution assumed as uniform distribution and the second order moment of these parameters has been obtained BAQUE has been applied on real data obtained from University of Mosul/ College of Agriculture and Forestry/ Department of agricultural yields which represent A its tow spaces for agriculture between planets and B its three categorise of cotton and C it’s a level between manure and the netrogin, n its interaction for all cell about cotton agriculture in Iraq 2009. The results obtained are encouraging in comparison with the prior information ,All algorithm are programed by using MATHLAB system.
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