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- W2162167732 abstract "Consider a randomized complete block experiment to compare v treatments in n blocks. Using a randomization model for the response, assuming unit-treatment additivity and no measurement error as in Kempthorne's Design and Analysis of Experiments book, it is shown that a best linear unbiased estimator does not exist for any contrast. The adjective ‘linear’ here is interpreted as linear in the responses. This result is shown by exhibiting an unbiased linear estimator which has zero variance at any preselected values of the parameters - the nv unit effects and the v treatment effects. The usual contrast estimator is shown to be admissible in the class of linear estimators under squared error loss. The similarity of these results to finite population sampling results is discussed." @default.
- W2162167732 created "2016-06-24" @default.
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- W2162167732 date "1989-05-01" @default.
- W2162167732 modified "2023-09-27" @default.
- W2162167732 title "Nonexistence of blue's under a randomization model for the randomized block design" @default.
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- W2162167732 doi "https://doi.org/10.1016/0378-3758(89)90065-7" @default.
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