Journal ArticleDOI
Construction of effect-wise orthogonal factorial designs
TLDR
In this article, two distinct methods have been proposed for the construction of effect-wise orthogonal factorial designs, which ensure desirable properties with respect to main effects and require a smaller number of replications than any of the existing methods.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1981-01-01. It has received 22 citations till now. The article focuses on the topics: Fractional factorial design & Factorial experiment.read more
Citations
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Changeover Designs and Factorial Structure
David Fletcher,J. A. John +1 more
TL;DR: In this paper, the concept of factorial structure in changeover designs is defined and shown to be a desirable requirement for these types of designs, and different classes of designs are examined in the light of this concept.
Journal ArticleDOI
Some New Methods for Constructing Block Designs having Orthogonal Factorial Structure
TL;DR: In this article, the authors considered block designs having orthogonal factorial structure, and some useful methods of constructing such designs are described, which can be used to construct designs for a wide range of parameter specifications.
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On Kronecker block designs for factorial experiments
TL;DR: In this article, the use of Kronecker designs for factorial experiments is considered and the efficiency of the interaction is shown to be at least as large as the product of the efficiency factors of the two main effects.
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Balance, Orthogonality and Efficiency Factors in Factorial Design
TL;DR: On montre que: 1) l'equilibre general relativement a structure factorielle and 2) la structure factoriele orthogonale, sont essentiellement les memes for des plans factoriels avec un systeme unique de blocs.
References
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Journal ArticleDOI
On an Application of Kronecker Product of Matrices to Statistical Designs
TL;DR: In this article, the Kronecker product of matrices of known designs is used to obtain new designs, and a general discussion of the application of the concept of the Krnoecker product is given.
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Generalized cyclic designs in factorial experiments
TL;DR: In this paper, generalized cyclic designs are used for partial confounding in factorial experiments, so as to provide an orthogonal analysis of main effects and interactions and the efficiencies of the designs are examined and it is shown how good designs for estimating main effects can be easily obtained.
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InterEffectOrthogonality in Factorial Experiments
TL;DR: In this article, a set of necessary and sufficient conditions for best linear estimates of estimable treatment contrasts belonging to different facotrial effects to be mutually orthogonal is established.
Journal ArticleDOI
Further Results on the Analysis of Factorial Experiments
TL;DR: In this article, the concepts of intcr-effect-orthogonality and regularity in factorial experiments have been generalised to the concept of inter effect-ortho-onality of order t. and corresponding necessary and sufficient conditions have been given.