D-optimality in \(3^ k\)-designs for N\(\equiv 1\) mod 9 observations
From MaRDI portal
Publication:1118951
DOI10.1016/0378-3758(89)90068-2zbMath0669.62061OpenAlexW2068021321MaRDI QIDQ1118951
Publication date: 1989
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(89)90068-2
information matrixorthogonal arrayfractional factorial designD-optimal fractionsfactorial effects modelsmain-effect modelthree-level factorial designs
Optimal statistical designs (62K05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Factorial statistical designs (62K15)
Related Items (2)
Optimality results on orthogonal arrays plus \(p\) runs for \(s^m\) factorial experiments ⋮ Further results on orthogonal array plus one run plans
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal balanced fractional \(3^m\) factorial designs of resolution V and balanced third-order designs
- Balanced arrays of strength 4 and balanced fractional \(3^m\) factorial designs
- D-optimum weighing designs
- Characteristic polynomials of the information matrices of balanced fractional \(3^ m\) factorial designs of resolution V
- Construction methods for D-optimum weighing designs when n=3(mod 4)
- The characteristic polynomial of the information matrix for second-order models
- Optimal balanced \(2^7\) fractional factorial designs of resolution \(v\), with \(N\leq 42\)
- On maximizing det (A\(^T\)A)
- Theory of factorial designs of the parallel flats type. I: The coefficient matrix
- Determinantenabschätzung für binäre Matrizen mit \(n\equiv 3\bmod 4\)
- Exact d-optimal n observations 2kdesigns of resolution III, when n≏ 1 or 2 mod 4
- On the Nonrandomized Optimality and Randomized Nonoptimality of Symmetrical Designs
- The Equivalence of Two Extremum Problems
- Near Minimal Resolution IV Designs for the s n Factorial Experiment
- D-Optimal Fractions of Three-Level Factorial Designs
- Economical Second-Order Designs Based on Irregular Fractions of the 3 n Factorial
- On Hadamard's inequality for the determinants of order non-divisible by 4
- Factorial Designs, the |X′X| Criterion, and Some Related Matters
This page was built for publication: D-optimality in \(3^ k\)-designs for N\(\equiv 1\) mod 9 observations
