R package FrF2 for creating and analyzing fractional factorial 2-level designs

U Gröm** - Journal of Statistical Software, 2014 - jstatsoft.org
This article describes the R package FrF2 for design and analysis of experiments with 2-
level factors. The package offers both regular and non-regular fractional factorial 2-level …

An algorithm for blocking regular fractional factorial 2-level designs with clear two-factor interactions

U Gröm** - Computational Statistics & Data Analysis, 2021 - Elsevier
Regular fractional factorial designs with 2-level factors are among the most frequently used
experimental plans. In many cases, designs should be blocked for dealing with …

A note on dominating fractional factorial two-level designs with clear two-factor interactions

U Gröm** - Technometrics, 2014 - Taylor & Francis
This note builds on results from Wu, Mee, and Tang's article (henceforth WMT) on
admissible fractional factorial two-level designs, specifically concentrating on the …

Alias structures and sequential experimentation for mixed-level designs

AJ Ríos-Lira, YV Pantoja-Pacheco, JA Vázquez-López… - Mathematics, 2021 - mdpi.com
Alias structures for two-level fractional designs are commonly used to describe the
correlations between different terms. The concept of alias structures can be extended to …

On simplifying the calculations leading to designs with general minimum lower-order confounding

JL Wei, JF Yang - Metrika, 2013 - Springer
Motivated by the effect hierarchy principle, Zhang et al.(Stat Sinica 18: 1689–1705, 2008)
introduced an aliased effect number pattern (AENP) for regular fractional factorial designs …

Some results on two-level regular designs with multi block variables containing clear effects

Q Zhao, S Zhao - Statistical Papers, 2019 - Springer
In this paper, the idea of clear effects is extended to the case of blocked regular 2^ nm 2 nm
designs with multi block variables. Some necessary and sufficient conditions on the …

Construction of blocked factorial designs to estimate main effects and selected two-factor interactions

JD Godolphin - Journal of the Royal Statistical Society Series B …, 2021 - academic.oup.com
Two-level factorial designs are widely used in industry. For experiments involving n factors,
the construction of designs comprising 2 n and 2 np factorials, arranged in blocks of size 2 q …

Orthogonal array based locally D-optimal designs for binary responses in the presence of factorial effects

Z Wang, J Stufken - Journal of Statistical Theory and Practice, 2021 - Springer
Abstract Wang and Stufken (J Stat Theory Practice 14 (2): 1–15, 2020) identified locally D-
optimal designs for generalized linear models with factorial effects and one continuous …

Regular fractional factorial designs

R Mee, A Dean - Handbook of Design and Analysis of …, 2015 - api.taylorfrancis.com
As explained in Chapter 1, the purpose of a factorial experiment is to investigate the average
contribution that each treatment factor makes to the response (called the factor main effect) …

Utilizing individual clear effects for intelligent factor allocations and design selections

Q Zhou, W Li, H Xu - Journal of Quality Technology, 2023 - Taylor & Francis
Extensive studies have been conducted on how to select efficient designs with respect to a
criterion. Most design criteria aim to capture the overall efficiency of the design across all …