Indicator functions and the algebra of the linear-quadratic parameterization

TY - JOUR

T1 - Indicator functions and the algebra of the linear-quadratic parameterization

AU - Sabbaghi, Arman

AU - Dasgupta, Tirthankar

AU - Jeff Wu, C. F.

N1 - Funding Information: This research was supported by the U.S. National Science Foundation. We thank two referees for their insightful remarks and suggestions.

PY - 2014/6

Y1 - 2014/6

N2 - 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.

AB - 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.

KW - Fractional factorial design

KW - Partial aliasing

KW - Row generator-transformation design

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U2 - 10.1093/biomet/ast070

DO - 10.1093/biomet/ast070

M3 - Article

SN - 0006-3444

VL - 101

SP - 351

EP - 363

JO - Biometrika

JF - Biometrika

IS - 2

ER -