The Combination of Information in Generally Balanced Designs

John Ashworth Nelder

87 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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Optimal Experimental Design Methods Statistical Methods in Clinical Trials Statistical Methods and Bayesian Inference

Abstract

Summary A general method is proposed for combining information in generally balanced designs when estimates of treatment effects are available from more than one stratum. Estimates of stratum variances are obtained by equating residual sum of squares in each stratum to their expectations, using the ML estimates of treatment effects. Weights may be given, the solution then being explicit, or fitted, in which case iteration is required. The results of a Monte Carlo study are given for a BIB design to test the distribution of the variance estimates.

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1957Experimental designs, 2nd ed.2007Design and Analysis of Experiments 1965The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance 1936INCOMPLETE RANDOMIZED BLOCKS 1940THE RECOVERY OF INTER‐BLOCK INFORMATION IN BALANCED INCOMPLETE BLOCK DESIGNS 1965The analysis of randomized experiments with orthogonal block structure. II. Treatment structure and the general analysis of variance

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