The DSIGNX Program

Franklin, Michael F.

doi:10.2307/2683179

Cited by 3 publications

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References 2 publications

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“…Construction of square lattices and lattice squares from sets of mutually orthogonal Latin squares (as opposed to looking them up in tables) also gives the pseudofactors directly. Users of the design key (Patterson, 1965(Patterson, , 1976Patterson and Bailey, 1978;Franklin and Mann, 1980;Franklin, 1982) also have to declare pseudofactors explicitly.…”

Section: How To Find Pseudofactorsmentioning

confidence: 99%

Pseudofactors: Normal Use to Improve Design and Facilitate Analysis

Monod¹,

Bailey²

1992

Applied Statistics

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Pseudofactors are an inherently simple device to aid the construction and analysis of designed experiments. Although they were introduced over 50 years ago, they still puzzle many statisticians. After a historical introduction a worked example is used to demonstrate how pseudofactors are used to construct the design, to obtain the analysis-of-variance table and table of means and to calculate standard errors of contrasts. Then the algebraic and algorithmic roles of pseudofactors are explained and reviewed, with particular emphasis on Genstat. Finally, a section on standard designs shows how pseudofactors may be used to construct more efficient designs, and to give simpler or better analyses, than those recommended in the current literature.'main effects' of A and B have efficiency factor j, being estimable in only one of the two replicates, while all contrasts for the 'interaction' between A and B have full 1 1 1 J J J B J J J D J J J A+B 3 0 1 2 J J A+C 2 0 1 2 J J A+D 2 1 0 2 J J B+C 1 0 2 J J B+D 0 1 2 J J C+D 3 1 0 2 J J A+B+C 1 0 2 J J A+B+D 2 1 0 2 J J A+C+D 2 0 1 2 J J B+C+D 0 1 2 J J A+B+C+D 0 0

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