Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics

Details Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics Design and analysis of fractional factorial experiments from the viewpoint of computational algebraic statistics

2010-04-12

arxiv.org/abs/1004.1876v1

Journal of Statistical Theory and Practice, Vol. 6 (2012), No. 1, 147--161,

Statistics

Methodology

16 pages

Scientific paper

10.1080/15598608.2012.647556

We give an expository review of applications of computational algebraic statistics to design and analysis of fractional factorial experiments based on our recent works. For the purpose of design, the techniques of Gr\"obner bases and indicator functions allow us to treat fractional factorial designs without distinction between regular designs and non-regular designs. For the purpose of analysis of data from fractional factorial designs, the techniques of Markov bases allow us to handle discrete observations. Thus the approach of computational algebraic statistics greatly enlarges the scope of fractional factorial designs.

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