Theory of factorial designs of the parallel flats type. I: The coefficient matrix

DOI10.1016/0378-3758(84)90023-5zbMath0559.62064OpenAlexW2092873517MaRDI QIDQ2266325

Jacy Mardekian, Donald A. Anderson, Jagdish N. Srivastava

Publication date: 1984

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(84)90023-5

zbMATH Keywords

spectrumlinear modelcyclotomic fieldsorthogonal factorizationalias component matricesfactorial designs of the parallel flats typenonsingular information matrix

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Combinatorial aspects of block designs (05B05) Statistical block designs (62K10) Factorial statistical designs (62K15)

Related Items (18)

Optimal 2ⁿfactorial designs of parallel flats type ⋮ Orthogonal three-level parallel flats designs for user-specified resolution ⋮ The spectrum of the information matrix for \(s^ n\) parallel flats fractions when \(s\) is prime ⋮ D-optimality in \(3^ k\)-designs for N\(\equiv 1\) mod 9 observations ⋮ Optimal fractional factorial designs for estimating interactions of one factor with all others: 3^mSeries ⋮ Orthogonal designs of parallel flats type ⋮ J.N. Srivastava and experimental design ⋮ Structure of Nonregular Two-Level Designs ⋮ Orthogonal arrays obtainable as solutions to linear equations over finite fields ⋮ Sequential analysis of 3^msupersaturated factorial experiments ⋮ Follow-up experiments for two-level fractional factorial designs via double semifoldover ⋮ Orthogonal parallel-flats designs for hierarchical models ⋮ Partially replicated two-level fractional factorial designs ⋮ Some classes of orthogonal \(2^{n_1}\times 3^{n_2}\) mixed factorial designs of median-resolution ⋮ The use of a monetary loss function to determine the optimal fractional replicate of factorial experiments ⋮ Orthogonal factorial design of parallel flats type and its application in biomedical research ⋮ Orthogonal parallel-flats for \(s_1^{n_1} \times s_2^{n_2}\) mixed factorial experiments ⋮ Optimal 2ⁿfactorial designs of parallel flats type

Cites Work

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• Some economic partially balanced \(2^ m\) factorial fractions
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• Three Quarter Replicates of 2 n Designs
• Sequences of Fractional Replicates in the 2 p-q Series
• Some Main-Effect Plans and Orthogonal Arrays of Strength Two
• Partially Duplicated Fractional Factorial Designs
• Techniques for Constructing Fractional Replicate Plans
• Near Minimal Resolution IV Designs for the s n Factorial Experiment
• Irregular Fractions of the 2 n Factorial Experiments
• Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series
• Sequences of Two-Level Fractional Factorial Plans
• Blocking of 3(2 n-k ) Designs
• A SIMPLE APPROACH TO CONFOUNDING AND FRACTIONAL REPLICATION IN FACTORIAL EXPERIMENTS
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS

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