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Incomplete row-column designs with factorial treatment structure for estimating main effects with full efficiency

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TLDR
In this article, two methods of constructing row-column designs for factorial experiments were proposed, and the constructed designs have orthogonal factorial structure with balance and permits estimation.
Abstract
In this paper, we propose two methods of constructing row-column designs for factorial experiments. The constructed designs have orthogonal factorial structure with balance and permits estimation o...

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Journal ArticleDOI

Construction of Row-Column Factorial Designs

TL;DR: In this article, the arrangement of factorials in row-column designs to estimate main effects and two factor interactions is investigated, and single replicate constructions are given to enable estimation of all main effects, and maximise the number of estimable two-factor interactions.
References
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Book

A calculus for factorial arrangements

TL;DR: In this paper, a factorial experiment involving n factors, F1, F2, F n, at m1, m2,..., m n (≥2) levels respectively, is considered and the effect due to this treatment combination is denoted by τ(j1,j2, j n ).
Journal ArticleDOI

Factorial Experiments in Generalized Cyclic Row-Column Designs

TL;DR: In this paper, the generalized cyclic method of construction is used to construct row-column block designs, and it is shown how the confounding schemes and efficiency factors of such designs are obtained.
Journal ArticleDOI

Confounded row–column designs

TL;DR: In this paper, a simple method of construction using the classical method of confounding is described, and partially confounded row-column designs are also studied and a method for generating Rao's (1946) designs is presented.
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