Indicator functions and the algebra of the linear-quadratic parameterization

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

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)351-363
Number of pages13
JournalBiometrika
Volume101
Issue number2
DOIs
StatePublished - Jun 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Keywords

  • Fractional factorial design
  • Partial aliasing
  • Row generator-transformation design

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