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Factor selection in screening experiments by aggregation over random models

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  • Singh, Rakhi
  • Stufken, John

Abstract

Screening experiments are useful for identifying a small number of truly important factors from a large number of potentially important factors. The Gauss-Dantzig Selector (GDS) is often the preferred analysis method for screening experiments. Just considering main-effects models can result in erroneous conclusions, but including interaction terms, even if restricted to two-factor interactions, increases the number of model terms dramatically and challenges the GDS analysis. A new analysis method, called Gauss-Dantzig Selector Aggregation over Random Models (GDS-ARM), which performs a GDS analysis on multiple models that include only some randomly selected interactions, is proposed. Results from these different analyses are then aggregated to identify the important factors. The proposed method is discussed, the appropriate choices for the tuning parameters are suggested, and the performance of the method is studied on real and simulated data.

Suggested Citation

  • Singh, Rakhi & Stufken, John, 2024. "Factor selection in screening experiments by aggregation over random models," Computational Statistics & Data Analysis, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:csdana:v:194:y:2024:i:c:s0167947324000240
    DOI: 10.1016/j.csda.2024.107940
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    References listed on IDEAS

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    1. Eric D. Schoen & Nha Vo-Thanh & Peter Goos, 2017. "Two-Level Orthogonal Screening Designs With 24, 28, 32, and 36 Runs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(519), pages 1354-1369, July.
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    3. Bradley Jones & Dibyen Majumdar, 2014. "Optimal Supersaturated Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(508), pages 1592-1600, December.
    4. Marley, Christopher J. & Woods, David C., 2010. "A comparison of design and model selection methods for supersaturated experiments," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3158-3167, December.
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