Keywords
Supersaturated designs (SSDs), orthogonal array (OA) designs, Dantzig selector, Strategy, Power, Type I Error, False Discovery Rate (FDR).
Abstract
Experiments involving many factors are often complex, time-consuming, and expensive. Screening out the least important factors helps the experimenter(s) allocate the limited resources efciently to the most important factors. Supersaturated and orthogonal array designs are among the designs used to conduct screening experiments. Supersaturated designs (SSDs) are those where the number of runs (observations) is less than the number of factors, while orthogonal array (OA) designs are those where at least the columns are orthogonal to each other. In this study, we conduct a simulation study to compare two strategies of screening experiments. Strategy one is a single shot experiment using an orthogonal array. Strategy two is a two-stage screening experiment that involves supersaturated design in the frst stage and a follow-up using orthogonal array design in the second stage. The study investigates two models: (1) a model with a subset of main efects being active and (2) a model with a subset of main efects and some two-factor interaction effects active. The two strategies are analyzed via the Dantzig selector method. The power to detect active efects, type I error rate, and false discovery rate are computed and compared. Generally, strategy one performs better than strategy two. When efect sparsity is high, the two strategies are comparable.
STARS Citation
Njuki, Kelvin and Agbemade, Emil, "Comparison of Two Strategies of Screening Experiments: Single-shot Experiment vs. Two-stage Screening Experiment" (2025). Data Science and Data Mining. 32.
https://stars.library.ucf.edu/data-science-mining/32