Valid randomization

R. A. Bailey · Chris Rowley

47 citations0/0 files storedProceedings of the Royal Society of London A Mathematical and Physical Sciences

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Finite Group Theory Research

Abstract

Abstract Sufficient combinatorial conditions for weak and strong validity of randomization are well known for some common classes of designs with single error strata. These conditions are generalized to orthogonal designs with multiple error strata given by an association scheme on the plots and with a treatment decomposition also defined by an association scheme.

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References

1992The Arrangement of Field Experiments 1965The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance 1935Complex Experiments 1940THE RECOVERY OF INTER‐BLOCK INFORMATION IN BALANCED INCOMPLETE BLOCK DESIGNS 1964Sir Ronald Fisher and the Design of Experiments 1984Analysis of Variance Models in Orthogonal Designs 1986A Neighbour Model for Field Experiments 1986On the Design of Experiments Under Spatial Correlation

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