7 papers · 1 filter
Sequential Supersaturated Screening Experiments
Songqiao Han, Kalliopi Mylona, Steven Gilmour +1
Supersaturated screening experiments study many candidate factors with few runs. The experimenter must first identify the active factors, then optimize the response. One-shot regul…
Factorial clinical trials in the presence and absence of plausible statistical interactions between treatment factors. A historical review of the methodological literature
Rebecca E. A. Walwyn, Pritaporn Kingkaew, Alan A. Montgomery +2
Factorial trials can be conducted when statistical interactions between two or more treatment factors are not anticipated, but also when they are. A k-in-1 factorial trial answers…
Orthogonal factorial designs for trials of therapist-delivered interventions: Randomising intervention-therapist combinations to patients
Rebecca EA Walwyn, Rosemary A Bailey, Arpan Singh +2
It is recognised that treatment-related clustering should be allowed for in the sample size and analyses of individually-randomised parallel-group trials that evaluate therapist-de…
The Generalized Word Count in Two-Level Fractional Factorial Designs
Xietao Zhou, Steven G. Gilmour
Unreplicated two-level factorial designs are often used in screening experiments to determine which factors out of a large plausible set are active. A theorem regarding the general…
Pure Error REML for Analyzing Data from Multi-Stratum Designs
Steven G Gilmour, Peter Goos, Heiko Grossmann
Since the dawn of response surface methodology, it has been recommended that designs include replicate points, so that pure error estimates of variance can be obtained and used to…
-Optimal Two-Level Designs
Pi-Wen Tsai, Steven G. Gilmour
Two-level designs are widely used for screening experiments where the goal is to identify a few active factors which have major effects. Orthogonal two-level designs in which all f…
Optimal Two-Level Designs for the Baseline Parameterization
Xietao Zhou, Steven G. Gilmour
We have established the association matrix that expresses the estimator of effects under baseline parameterization, which has been considered in some recent literature, in an equiv…