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Indicator functions and the algebra of the linear-quadratic parameterization

Author

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  • Arman Sabbaghi
  • Tirthankar Dasgupta
  • C. F. Jeff Wu

Abstract

Indicator functions are constructed under the linear-quadratic parameterization for contrasts, and applied to the study of partial aliasing properties for three-level fractional factorial designs. An algebraic operation is introduced for the calculation of indicator function coefficients. This operation connects design construction methods to the analysis under the linear-quadratic system, and helps establish simple conditions for the estimability of interactions.

Suggested Citation

  • Arman Sabbaghi & Tirthankar Dasgupta & C. F. Jeff Wu, 2014. "Indicator functions and the algebra of the linear-quadratic parameterization," Biometrika, Biometrika Trust, vol. 101(2), pages 351-363.
    • Handle: RePEc:oup:biomet:v:101:y:2014:i:2:p:351-363.
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    File URL: http://hdl.handle.net/10.1093/biomet/ast070
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    Cited by:

    1. Po Yang & William Li, 2019. "Some properties of foldover designs with column permutations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(6), pages 705-717, August.
    2. Wenlong Li & Bing Guo & Hengzhen Huang & Min-Qian Liu, 2021. "Semifoldover plans for three-level orthogonal arrays with quantitative factors," Statistical Papers, Springer, vol. 62(6), pages 2691-2709, December.
    3. C. F. Jeff Wu, 2018. "A fresh look at effect aliasing and interactions: some new wine in old bottles," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 70(2), pages 249-268, April.

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