Journal ArticleDOI
Characteristic polynomials of the information matrices of balanced fractional 3m factorial designs of resolution v
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In this paper, an explicit expression for the characteristic polynomial of the information matrix M T of a balanced fractional 3 m factorial (3 m -BFF) design T of resolution V is obtained by utilizing the algebraic structure of the underlying multidimentional relationship.About:
This article is published in Journal of Statistical Planning and Inference.The article was published on 1981-01-01. It has received 21 citations till now. The article focuses on the topics: Characteristic polynomial & Polynomial matrix.read more
Citations
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Journal ArticleDOI
Balanced fractional $r\spm\times s\spn$ factorial designs and their analysis
Journal ArticleDOI
ON A CONNECTION BETWEEN BALANCED ARRAYS AND BALANCED FRACTIONAL sm FACTORIAL DESIGNS
Masahide Kuwada,Ryuei Nishii +1 more
Journal ArticleDOI
Fractional factorial designs of two and three levels
TL;DR: A survey of the results on balanced fractional designs of the 2 m and 3 m types established by Chopra, Kuwada, Shirakura, Srivastava and Yamamoto, new results on search designs of 2 m type, and open problems on the construction of fractional design are presented.
Journal ArticleDOI
On the characteristic polynomial of the information matrix of balanced fractional sm factorial designs of resolution Vp, q
Masahide Kuwada,Ryuei Nishii +1 more
TL;DR: In this article, an explicit expression for the characteristic polynomial of the information matrix for a balanced fractional factorial design of resolution Vp, q (in particular, when p = q = s − 1, of resolutionV) is obtained by utilizing the decomposition of a multidimensional relationship algebra into its four two-sided ideals.
Journal ArticleDOI
On some optimal fractional 2m factorial designs of resolution V
TL;DR: In this article, the trace of the covariance matrix of the estimates of effects based on a fractional 2m factorial (2m-FF) design T of resolution V for the following two cases: one is the case where T is constructed by adding some restricted assemblies to an orthogonal array.
References
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Journal Article
Fractional replication in asymmetrical factorial designs and partially balanced arrays
TL;DR: In this paper, it has been shown that hypercubes of strength 2 supply balanced confounded designs for asymmetrical factorial experiments defined by Nair and Rao (1941, 1942a, 1942b) and later treated in detail by the same authors.
Journal ArticleDOI
Economical Second-Order Designs Based on Irregular Fractions of the 3 n Factorial
TL;DR: In this article, the authors presented some new economical, nonorthogonal, second-order designs based on irregular fractions of partially balanced type of the 3 n factorial for any number of factors n ≥ 3.
Journal ArticleDOI
On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications
J. N. Srivastava,D. V. Chopra +1 more
TL;DR: In this article, the characteristic roots of the information matrix of a balanced fractional factorial design $T$ are obtained, when the parameters to be estimated include the general mean, the main effect, and the two-factor interaction, the remaining effects being assumed negligible.
Journal ArticleDOI
Balanced Optimal 2m Fractional Factorial Designs of Resolution V, m ? 6
J. N. Srivastava,D. V. Chopra +1 more
TL;DR: In this article, balanced optimal fractional factorial designs of 2 m series which allow the estimation of the general mean, main effects and two factor interactions are described, and covariance matrices of the estimates of the effects are also presented for each design.
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On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications
J. N. Srivastava,D. V. Chopra +1 more