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Fractional Factorial Plans

TLDR
Fractional plans and orthogonal arrays have been extensively studied in the literature, see as discussed by the authors for a survey of some of the most relevant works. But nonexistence of fractional plans has been discussed.
Abstract
Fractional Plans and Orthogonal Arrays. Symmetric Orthogonal Arrays. Asymmetric Orthogonal Arrays. Some Results on Nonexistence. More on Optimal Fractional Plans and Related Topics. Trend-Free Plans and Blocking. Some Further Developments. Appendix. References. Index.

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Citations
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Quality improvement of non-sulphited mango slices by drying at high temperatures

TL;DR: An optimum drying procedure for producing non-sulphited mango slices has been developed in this paper, where the interaction of essential drying parameters (air temperature, air velocity, dew point, slice thickness and drying time) on water activity and browning was determined.
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Optimal Projective Three-Level Designs for Factor Screening and Interaction Detection

TL;DR: A set of optimality criteria is proposed to assess the performance of designs for factor screening, projection, and interaction detection, and a three-step approach to search for optimal designs is proposed.
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Indicator function and complex coding for mixed fractional factorial designs

TL;DR: In a general fractional factorial design, the n levels of a factor are coded by the nth roots of the unity as discussed by the authors, which allows a full generalization to mixed-level designs of the theory of the polynomial indicator function which has already been introduced for two level designs in a joint paper with Fontana.
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Strong orthogonal arrays and associated Latin hypercubes for computer experiments

TL;DR: A strong orthogonal array of strength t enjoys better space-filling properties than a comparable OO array in all dimensions lower than t while retaining the space filling properties of the latter in t dimensions as mentioned in this paper.
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A new approach in constructing orthogonal and nearly orthogonal arrays

TL;DR: In this article, the authors propose some criteria for non-orthogonality and two algorithms for the construction of orthogonal and nearly orthogonal arrays evincing higher efficiency than that obtained by Wang and Wu.
References
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Non-Orthogonal Designs of Even Resolution*

TL;DR: In this paper, it was shown that the smallest resolution 4 designs for n factors at two levels must contain at least 2n runs, and that "foldover" designs are available with 2 n runs.