The randomization model for experiments in block designs and the recovery of inter-block information

A general randomization model for experiments in block designs and conditions for obtaining the best linear unbiased estimators of treatment parametric functions under the model are re-examined. It is shown how the best linear unbiased estimators under the overall randomization model can be obtained...

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Bibliographic Details
Published in:Journal of statistical planning and inference 1996-07, Vol.52 (3), p.359-374
Main Authors: Caliński, Tadeusz, Kageyama, Sanpei
Format: Article
Language:English
Subjects:
62K10
Best linear unbiased estimation
Block designs
Exact sciences and technology
Experimental design
Mathematics
Probability and statistics
Randomization model
Recovery of inter-block information
Sciences and techniques of general use
Statistics
Technical errors
Unit errors
Variance components
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Summary:A general randomization model for experiments in block designs and conditions for obtaining the best linear unbiased estimators of treatment parametric functions under the model are re-examined. It is shown how the best linear unbiased estimators under the overall randomization model can be obtained when the variance components are known. Furthermore, a general method of estimating these, usually unknown, variance components is described and properties of the resulting estimators of treatment parametric functions are considered. In connection with this the recovery of inter-block information in a general block design is discussed.
ISSN:0378-3758
1873-1171
DOI:10.1016/0378-3758(95)00124-7