Row-And-Column Designs

S. C. Pearce

29 citations0/0 files storedJournal of the Royal Statistical Society Series C (Applied Statistics)

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Optimal Experimental Design Methods Statistical Methods and Applications Agriculture, Soil, Plant Science

Abstract

Summary Instances are given where an experiment requires two mutually orthogonal blocking systems; the least squares solution is presented for the general case. It leads to conclusions relating to the overall efficiency of the resulting design and the efficiency factors for basic contrasts. Necessary and sufficient conditions are found for a mean or a difference of means to be estimated with full efficiency. Suggestions are made for the construction of row-and-column designs appropriate to the practical problem in hand. It is shown that an unbiased estimate of error can always be found by writing down a design and permuting both rows and columns at random. Missing plots are considered.

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References

1952The Design and Analysis of Block Experiments 1971On Some Desirable Patterns in Block Designs 1963The Use and Classification of Non-Orthogonal Designs 1954Some Considerations in the Design of Successive Experiments in Fruit Plantations 1948The Construction of Youden Squares 1970The Efficiency of Block Designs in General

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1983Factorial Experiments in Generalized Cyclic Row-Column Designs

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