Construction of \(2^ m4^ n\) designs via a grouping scheme

DOI10.1214/aos/1176347399zbMath0695.62198OpenAlexW2140240316MaRDI QIDQ910138

C. F. Jeff Wu

Publication date: 1989

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347399

zbMATH Keywords

orthogonal arraysfractional factorial designssymmetric differencefactorial effectsgeneralized interaction of effectsgrouping schememaximum number of constraintsmethod of replacementoptimal grouping

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (21)

A linear programming bound for orthogonal arrays with mixed levels ⋮ \(2^m4^1\) designs with minimum aberration or weak minimum aberration ⋮ Mixed-level designs with resolution III or IV containing clear two-factor interaction components ⋮ Mixed two- and four-level fractional factorial split-plot designs with clear effects ⋮ Asymmetrical split-plot designs with clear effects ⋮ Construction of regular 2ⁿ4¹ designs with general minimum lower-order confounding ⋮ \(2^m 4^n\) designs with resolution III or IV containing clear two-factor interaction components ⋮ Some results on \(4^m 2^n\) designs with clear two-factor interaction components ⋮ Minimum aberration blocking of regular mixed factorial designs ⋮ Compromise \(4^m2^n\) plans with clear two-factor interactions ⋮ Designing fractional two-level experiments with nested error structures ⋮ Mixed-level fractional factorial split-plot designs containing clear effects ⋮ Construction results for strong orthogonal arrays of strength three ⋮ Planning experiments when some specified interactions are investigated ⋮ Mixed 2- and \(2^r\)-level fractional factorial split-plot designs with clear effects ⋮ Existence and construction of randomization defining contrast subspaces for regular factorial designs ⋮ Level changes and trend resistance on replacement in asymmetric orthogonal arrays. ⋮ The lattice of \(N\)-run orthogonal arrays ⋮ Mixed-level designs with multi block variables containing clear two-factor interaction components ⋮ A replacement scheme on the construction of orthogonal arrays ⋮ Satisfactory orthogonal array and its checking method.

This page was built for publication: Construction of \(2^ m4^ n\) designs via a grouping scheme