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On finding mixed orthogonal arrays of strength 2 with many 2-level factors

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  • DeCock, Dean
  • Stufken, John

Abstract

We describe a method for finding mixed orthogonal arrays of strength 2 with a large number of 2-level factors. The method starts with an orthogonal array of strength 2, possibly tight, that contains mostly 2-level factors. By a computer search of this starting array, we attempt to find as large a number of 2-level factors as possible that can be used in a new orthogonal array of strength 2 containing one additional factor at more than two levels. The method produces new orthogonal arrays for some parameters, and matches the best-known arrays for others. It is especially useful for finding arrays with one or two factors at more than two levels.

Suggested Citation

  • DeCock, Dean & Stufken, John, 2000. "On finding mixed orthogonal arrays of strength 2 with many 2-level factors," Statistics & Probability Letters, Elsevier, vol. 50(4), pages 383-388, December.
    • Handle: RePEc:eee:stapro:v:50:y:2000:i:4:p:383-388
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    Citations

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    Cited by:

    1. Yaquelin Verenice Pantoja-Pacheco & Armando Javier Ríos-Lira & José Antonio Vázquez-López & José Alfredo Jiménez-García & Martha Laura Asato-España & Moisés Tapia-Esquivias, 2021. "One Note for Fractionation and Increase for Mixed-Level Designs When the Levels Are Not Multiple," Mathematics, MDPI, vol. 9(13), pages 1-20, June.
    2. Armando Javier Ríos-Lira & Yaquelin Verenice Pantoja-Pacheco & José Antonio Vázquez-López & José Alfredo Jiménez-García & Martha Laura Asato-España & Moisés Tapia-Esquivias, 2021. "Alias Structures and Sequential Experimentation for Mixed-Level Designs," Mathematics, MDPI, vol. 9(23), pages 1-21, November.
    3. Pang, Shanqi & Zhang, Yingshan & Liu, Sanyang, 2004. "Further results on the orthogonal arrays obtained by generalized Hadamard product," Statistics & Probability Letters, Elsevier, vol. 68(1), pages 17-25, June.
    4. Suen, Chung-Yi, 2003. "Construction of mixed orthogonal arrays by juxtaposition," Statistics & Probability Letters, Elsevier, vol. 65(3), pages 161-163, November.

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