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 |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1990-03-01
|
| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31395_2b0fc4f18ca6f1bee582f2b44789edc9.pdf |
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| _version_ | 1849387405215268864 |
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| collection | DOAJ |
| description | 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 |
| format | Article |
| id | doaj-art-b0e4244acaab4e219eb02a2fb190cd25 |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1990-03-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-b0e4244acaab4e219eb02a2fb190cd252025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141990-03-011231395THE EMPIRICAL BAYES METHOD OF ANALYSIS OF A SERIES OF EXPERIMENTSThe 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 employedhttps://jsciences.ut.ac.ir/article_31395_2b0fc4f18ca6f1bee582f2b44789edc9.pdf |
| spellingShingle | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS Journal of Sciences, Islamic Republic of Iran |
| title | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS |
| title_full | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS |
| title_fullStr | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS |
| title_full_unstemmed | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS |
| title_short | THE EMPIRICAL BAYES METHOD OF
ANALYSIS OF A SERIES OF EXPERIMENTS |
| title_sort | empirical bayes method of analysis of a series of experiments |
| url | https://jsciences.ut.ac.ir/article_31395_2b0fc4f18ca6f1bee582f2b44789edc9.pdf |