Listy Biometryczne - Biometrical Letters Vol. 34(1997), No. 1, 9-26
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RECOVERY OF INTER-BLOCK INFORMATION WHEN THE EXPERIMENT IS IN A NESTED BLOCK DESIGN Tadeusz Caliński Department of Mathematical and Statistical Methods, Agricultural University of Poznan, Wojska Polskiego 28, 60-637 Poznan, Poland |
A general randomization model for experiments in nested block designs is considered from the point of view of the recovery of inter-block information. First, it is shown how under the model the best linear unbiased estimators of treatment parametric functions can be obtained when the variance components are known. Then, a general method of estimating these, usually unknown, variance components is described and properties of the resulting empirical estimators of treatment parametric functions are- examined. Some approximation of the variance of any such estimator is considered under certain design conditions. The paper extends to nested block designs the relevant results known for ordinary block designs (with one stratum of blocks).
best linear unbiased estimation, estimation of variance components, nested block designs, randomization model, recovery of inter-block information
