Two-level factorial designs for searching dispersion factors and estimating location main effects

Journal of Statistical Planning and Inference

Volumn 136, Issue 11, 2006, Pages 4071-4087

  Liao, Chen Tuo ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

Author keywords

Design resolution; Mixed linear model; Orthogonal design; Robust design; Simple array

Indexed keywords

EID: 33746015651     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2005.04.005     Document Type: Article

References (20)

1. Atkinson A.C., and Donev A.N. Optimum Experimental Designs (1992), Oxford University Press, New York
2. k - p series. Technometrics 39 (1997) 191-198
3. Box G.E.P., and Meyer R.D. Dispersion effects from fractional designs. Technometrics 28 (1986) 19-27
4. Brenneman W.A., and Nair V.N. Methods for identifying dispersion effects in unreplicated factorial experiments: a critical analysis and proposed strategies. Technometrics 28 (2001) 388-405
5. Cox D.R., and Reid N. Parameter orthogonality and approximate conditional inference. J. Roy. Statist. Soc. Ser. B 49 (1987) 1-39
6. n - p designs. Technometrics 22 (1980) 601-608
7. Hocking R.R. The Analysis of Linear Models (1985), Books/Cole, Monterey, CA
8. Liao, C.T., 1994. Fractional factorial designs for estimating location effects and screening dispersion effects. Ph.D. Dissertation, Colorado State University, Department of Statistics, Fort Collins, CO, USA.
9. n - k fractional factorial designs. Comput. Statist. Data Anal. 33 (2000) 291-298
10. n - p fractional factorial designs for dispersion effects under a location-dispersion model. Commun. Statist.-Theory Methods 29 (2000) 823-835
11. McCullagh P., and Nelder J.A. Generalized Linear Models (1989), Wiley, New York
12. McGrath R.N., and Lin D.K.J. Testing multiple dispersion effects in unreplicated fractional factorial designs. Technometrics 43 (2001) 406-414
13. McGrath R.N., and Lin D.K.J. Confounding of location and dispersion effects in unreplicated fractional factorial designs. J. Quality Technol. 33 (2001) 129-139
14. Montgomery D.C. Using fractional factorial designs for robust process development. Quality Eng. 3 (1990) 193-205
15. Nelder J.A., and Lee Y. Generalized linear models for the analysis of Taguchi-Type experiments. Appl. Stochastic Models Data Anal. 7 (1991) 107-120
16. Nelder J.A., and Lee Y. Joint modeling of mean and dispersion. Technometrics 40 (1998) 168-175
17. Pan G. The impact of unidentified location effects on dispersion effects identification from unreplicated factorial designs. Technometrics 41 (1999) 313-326
18. Plackett R.L., and Burman J.P. The design of optimum multifactorial experiments. Biometrika 33 (1946) 305-325
19. Wang P.C. Tests for dispersion effects from orthogonal arrays. Comput. Statist. Data Anal. 8 (1989) 109-117
20. Wolfinger R.D., and Tobias R.D. Joint estimation of location dispersion, and, random effects in robust design. Technometrics 40 (1998) 62-71