Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors

@article{Aoki2018CharacterizationsOI,
  title={Characterizations of indicator functions and contrast representations of fractional factorial designs with multi-level factors},
  author={S. Aoki},
  journal={Journal of Statistical Planning and Inference},
  year={2018},
  volume={203},
  pages={91-105}
}
  • S. Aoki
  • Published 2018
  • Mathematics
  • Journal of Statistical Planning and Inference
  • Abstract A polynomial indicator function of designs is first introduced by Fontana et al. (2000) for two-level designs. They give the structure of the indicator function of two-level designs, especially from the viewpoints of the orthogonality of the designs. Based on the structure, they use the indicator functions to classify all the orthogonal fractional factorial designs with given sizes using computational algebraic software. In this paper, generalizing the results on two-level designs, the… CONTINUE READING

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