THE EMPIRICAL BAYES METHOD OF ANALYSIS OF A SERIES OF EXPERIMENTS
The classical method of analysis of a series of experiments is somewhat involved in being conditional on various, occasionally unrealistic, assumptions such as homogeneity of variances of experimental error, lack of interactions of treatments and places,etc. In this work, we adopt a Bayesian view to...
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| Format: | Article |
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| Language: | English |
| Published: |
University of Tehran
1990-03-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31395_2b0fc4f18ca6f1bee582f2b44789edc9.pdf |
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| Summary: | The classical method of analysis of a series of experiments is somewhat
involved in being conditional on various, occasionally unrealistic, assumptions
such as homogeneity of variances of experimental error, lack of
interactions of treatments and places,etc. In this work, we adopt a Bayesian
view to account for such heterogeneities. Our appoach is illustrated by a real
series of experiments regarding the effect of fertilizers on crops of sugarbeet
in various places of Iran. Conjugate priors are considered for parameters of
the model and posteriors are obtained. Using iniormation from different
places, the unknown priors are estimated and the empirical Bayes procedure
is employed |
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| ISSN: | 1016-1104 2345-6914 |