Abstract
Indicator functions are new tools to study fractional factorial designs. In this paper, we study indicator functions with four words and provide possible forms of the indicator functions and explain their implications to two-level factorial designs.
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Balakrishnan N., Yang P. (2006a) Classification of three-word indicator functions of two-level factorial designs. Annals of the Institute of Statistical Mathematics 58: 595–608
Balakrishnan N., Yang P. (2006b) Connections between the resolutions of general two-level factorial designs. Annals of the Institute of Statistical Mathematics 58: 609–618
Cheng S.W., Li W., Ye K.Q. (2004) Blocked nonregular two-level factorial designs. Technometrics 45: 347–351
Cheng S.W., Ye K.Q. (2004) Geometric isomorphism and minimum aberration for factorial designs with quantitative factors. Annals of Statistics 32: 2168–2185
Fontana R., Pistone G., Rogantin M.P. (2000) Classification of two-level factorial fractions. Journal of Statistical Planning and Inference 87: 149–172
Loeppky J.L., Bingham K., Sitter R.R. (2006) Constructing non-regular robust parameter designs. Journal of Statistical Planning and Inference 136: 3710–3729
Pistone G., Rogantin M.P. (2008) Indicator function and complex coding for mixed fractional factorial designs. Journal of Statistical Planning and Inference 138: 787–802
Ye K.Q. (2003) Indicator function and its application in two-level factorial designs. Annals of Statistics 31: 984–994
Ye K.Q. (2004) A note on regular fractional designs. Statistica Sinica 14: 1069–1074
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Balakrishnan, N., Yang, P. Forms of four-word indicator functions with implications to two-level factorial designs. Ann Inst Stat Math 63, 375–386 (2011). https://doi.org/10.1007/s10463-009-0222-8
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DOI: https://doi.org/10.1007/s10463-009-0222-8