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Original Articles

Identification of Dispersion Effects in Replicated Two-Level Fractional Factorial Experiments

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Pages 687-702 | Received 21 Jun 2012, Accepted 10 Dec 2012, Published online: 13 Aug 2013

References

  • Aitkin , M. 1987 . Modelling variance heterogeneity in normal regression using GLIM . Appl. Stat , 36 : 332 – 339 .
  • Ankenman , B. E. and Dean , A. M. 2003 . “ Quality improvement and robustness via design of experiments ” . In Handbook of statistics , Edited by: Rao , C. R. and Khattree , R. Vol. 22 , 263 – 317 . Amsterdam, The Netherlands, Elsevier .
  • Bartlett , M. S. and Kendall , D. G. 1946 . The statistical analysis of variance-heterogeneity and the logarithmic transformation . Suppl. J. R. Stat. Soc , 8 : 128 – 138 .
  • Bergman , B. and Hynén , A. 1997 . Dispersion effects from unreplicated designs in the 2 k–p series . Technometrics , 39 : 191 – 198 .
  • Box , G. E. and Meyer , R. D. 1986 . Dispersion effects from fractional designs . Technometrics , 28 : 19 – 27 .
  • Box , G. E. P. 1988 . Signal-to-noise ratios, performance criteria, and transformations . Technometrics , 30 : 1 – 17 .
  • Box , G. E. P. , Hunter , W. G. and Hunter , J. S. 1978 . Statistics for experimenters: An introduction to design, data analysis, and model building , New York, NY : John Wiley & Sons .
  • Brenneman , W. A. and Nair , V. N. 2001 . Methods for identifying dispersion effects in unreplicated factorial experiments . Technometrics , 43 : 388 – 405 .
  • Brown , M. and Forsythe , A. 1974 . Robust tests for the equality of variances . J. Am. Stat. Assoc , 69 : 364 – 367 .
  • Bursztyn , D. and Steinberg , D. M. 2006 . “ Screening experiments for dispersion effects ” . In Screening: Methods for experimentation in industry, drug discovery, and genetics , Edited by: Dean , A. M. and Lewis , S. M. 21 – 47 . New York, NY : Springer .
  • Cook , R. D. and Weisberg , S. 1983 . Diagnostics for heteroscedasticity in regression . Biometrika , 70 : 1 – 10 .
  • Dean , A. and Voss , D. 1999 . Design and analysis of experiments , New York, NY, Springer .
  • Dingus , C. A. V. 2005 . Designs and methods for the identification of active location and dispersion effects. Ph.D. thesis , Columbus , OH : The Ohio State University .
  • Haaland , P. and O'Connell , M. 1995 . Inference for effect-saturated fractional fatorials . Technometrics , 37 : 82 – 93 .
  • Harvey , A. C. 1976 . Estimating regression models with multiplicative heteroscedasticity . Econometrica , 44 : 461 – 465 .
  • Lenth , R. V. 1989 . Quick and easy analysis of unreplicated factorials . Technometrics , 31 : 469 – 473 .
  • Levene , H. 1960 . “ Robust tests for equality of variances ” . In Contributions to probability and statistics: Essays in honor of Harold Hotelling , Stanford, CA : Stanford University Press . I. Olkin, S. G. Ghurye, W. Hoeffding, W. G. Madow, and H. B. Mann
  • Mackertich , N. A. , Benneyan , J. C. and Kraus , P. D. 2003 . Alternate dispersion measures in replicated factorial experiments . Unpublished manuscript , http://www1.coe.neu.edu/~benneyan/papers/doe_dispersion.pdf
  • McGrath , R. N. and Lin , D. K. J. 2001a . Confounding of location and dispersion effects in unreplicated fractional factorials . J. Quality Technol , 33, 129–139.
  • McGrath , R. N. and Lin , D. K. J. 2001b . Testing multiple dispersion effects in unreplicated two-level fractional factorial designs . Technometrics , 43 : 406 – 414 .
  • Miller , A. 2005 . The analysis of unreplicated factorial experiments using all possible comparisons . Technometrics , 47 : 51 – 63 .
  • Montgomery , D. C. 2009 . Design and analysis of experiments , 7th , New York, NY : John Wiley & Sons .
  • Nair , V. J. and Pregibon , D. 1988 . Analyzing dispersion effects from replicated factorial experiments . Technometrics , 30 : 247 – 257 .
  • Pan , G. 1999 . The impact of unidentified location effects on dispersion—effects identification from unreplicated designs . Technometrics , 41 : 313 – 326 .
  • Pignatiello , J. J. and Ramberg , J. S. 1985 . Discussion of “Off-line Quality Control, Parameter Design, and the Taguschi Method” . J. Quality Technol , 17 : 198 – 206 . by R.N. Kackar
  • Pignatiello , J. J. and Ramberg , J. S. 1987 . Comments on “Performance Measures Independent of Adjustment: An Explanation and Extension of Taguchi's Signal-to-noise Ratios.” . Technometrics , 29 : 274 – 277 .
  • Verbyla , A. P. 1993 . Modelling variance heterogeneity: residual maximum likelihood and diagnostics . J. R. Stat. Soc. Ser. B , 55 : 493 – 508 .
  • Wang , P. C. 1989 . Tests for dispersion effects from orthogonal arrays . Comput. Stat. Data Anal , 8 : 109 – 117 .
  • Wolfe , D. A. , Dean , A. M. , Wiers , M. D. and Hartlaub , B. A. 1992 . Nonparametric rank based main effects test procedures for the two-way layout in the presence of interaction . J. Nonparametric Stat , 1 : 241 – 252 .
  • Wolfinger , R. D. and Tobias , R. D. 1998 . Joint estimation of location, dispersion, and random effects in robust design . Technometrics , 40 : 62 – 71 .
  • Wu , C. F. J. and Hamada , M. 2000 . Experiments: Planning, analysis, and parameter design optimization , New York, NY : John Wiley & Sons .

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