Designs with Partial Factorial Balance
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In this paper, a class of multidimensional experimental designs with partial factorial balance is introduced and the analysis of these designs is given in detail and several series of three, four and five dimensional designs are presented.Abstract:
In this paper a class of multidimensional experimental designs said to have partial factorial balance is introduced. These designs are shown to belong to the more general class of multidimensional partially balanced designs. The analysis of designs with partial factorial balance is given in detail and several series of three, four and five dimensional designs are presented.read more
Citations
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Robustness of balanced fractional 2 m factorial designs derived from simple arrays
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Inverting Circulant Matrices Using Recurrence Equations
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References
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Journal ArticleDOI
On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
Raj Chandra Bose,Dale M. Mesner +1 more
TL;DR: In the United States, any part of the Internet is available for any purpose of the United states Government as discussed by the authors, i.e., search, download, upload, and share.
Multidimensional partially balanced designs and their analysis, with applications to partially balanced factorial fractions
Raj Chandra Bose,J.N. Srivastava +1 more
TL;DR: In this paper, the authors introduce a class of multidimensional designs under the model of additivity of factorial effects which involve partial balance, and apply the theory so developed to the problem of analysing irregular fractions of oertain kinds.
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Designs for two-way elimination of heterogeneity
TL;DR: In this paper, the authors considered balanced incomplete block designs for two-way elimination of heterogeneity and showed that they can be converted to Youden's squares by ordering the varieties in the blocks such that each variety occurs once in each position.
Journal ArticleDOI
Three-Factor Additive Designs More General Than the Latin Square
TL;DR: In this paper, a class of designs for the case of three factors at levels m, n and p were described for which the total number of experiments required is a fraction of mnp.