Signal-to-Noise Ratios, Performance Criteria, and Transformations

REFERENCES

• Bartlett , M. S. and Kendall , D. G. 1946 . “The Statistical Analysis of Variance-Heterogeneity and the Logarithmic Transformation,” . Journal of the Royal Statistical Society , 8 : 128 – 150 . Ser. B
   Google Scholar
• Box , G. E. P. 1966 . “A Simple System of Evolutionary Operation Subject to Empirical Feedback,” . Technometrics , 8 : 19 – 26 .
   Web of Science ®Google Scholar
• Box , G. E. P. 1980 . “Sampling and Bayes’ Inference in Scientific Modelling and Robustness . Journal of the Royal Statistical Society , 143 : 383 – 130 . Ser. A
   Google Scholar
• Box , G. E. P. 1986 . “Studies in Quality Improvement: Signal to Noise Ratios, Performance Criteria and Statistical Analysis: Part I,” University of Wisconsin-Madison, Center for Quality and Productivity Improvement. . Technical Report 11
   Google Scholar
• Box , G. E. P. and Bisgaard , S. 1987 . “The Scientific Context of Quality Improvement,” . Quality Progress , 20 ( 6 ) : 54 – 61 .
   Google Scholar
• Box , G. E. P. and Cox , D. R. 1964 . “An Analysis of Transformations” . Journal of the Royal Statistical Society , 26 : 211 – 252 . (with discussion), Ser. B
   Google Scholar
• Box , G. E. P. and Draper , N. R. 1987 . Empirical Model-Building and Response Surfaces New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Fung , C. A. 1983 . “Some Considerations in Estimating Data Transformations,” University of Wisconsin-Madison, Mathematics Research Center. . Technical Summary Report 2609
   Google Scholar
• Box , G. E. P. and Fung , C. A. 1986 . “Studies in Quality Improvement: Minimizing Transmitted Variation by Parameter Design,” University of Wisconsin-Madison, Center for Quality and Productivity Improvement. . Report 8, (submitted to the Journal of Quality Technology).
   Google Scholar
• Box , G. E. P. , Hunter , W. G. and Hunter , J. S. 1978 . Statistics for Experimenters New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Jones , S. P. 1986a . Discussion of “Testing in Industrial Experiments With Ordered Categorical Data,” . Technometrics , 28 : 295 – 301 . by Vijayan N. Nair
   Web of Science ®Google Scholar
• Box , G. E. P. and Jones , S. P. 1986b . “An Investigation of the Method of Accumulation Analysis,” University of Wisconsin-Madison, Center for Quality and Productivity Improvement. . Technical Report 19
   Google Scholar
• Box , G. E. P. and Meyer , R. D. 1986a . “An Analysis for Unreplicated Fractional Factorials,” . Technometrics , 28 : 11 – 18 .
   Web of Science ®Google Scholar
• Box , G. E. P. and Meyer , R. D. 1986b . “Dispersion Effects From Fractional Designs,” . Technometrics , 28 : 19 – 27 .
   Web of Science ®Google Scholar
• Box , G. E. P. and Meyer , R. D. 1987 . “Analysis of Unreplicated Factorials Allowing for Possibly Faulty Observations,”. ” . In Design, Data and Analysis Edited by: Mallows , C. L. 1 – 12 . New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Ramirez , J. 1986 . “Studies in Quality Improvement: Signal to Noise Ratios, Performance Criteria and Statistical Analysis: Part II,” University of Wisconsin-Madison, Center for Quality and Productivity Improvement. . Technical Report 12
   Google Scholar
• Box , G. E. P. and Wilson , K. B. 1951 . “On the Experimental Attainment of Optimum Conditions” . Journal of the Royal Statistical Society , 13 : 1 – 45 . (with discussion), Ser. B
   Google Scholar
• Daniel , C. 1959 . “Use of Half-Normal Plots in Interpreting Factorial Two-Level Experiments,” . Technometrics , 1 : 311 – 342 .
   Google Scholar
• Finney , D. J. 1945 . “The Fractional Replication of Factorial Arrangements,” . Annals of Eugenics , 12 : 291 – 301 .
   Google Scholar
• Finney , D. J. 1951 . “On the Distribution of a Variate Whose Logarithm Is Normally Distributed,” . Journal of the Royal Statistical Society (supp.) , 7 : 155 – 161 .
   Google Scholar
• Gaddum , J. H. 1945 . “Lognormal Distributions,” . Nature , 156 : 463 – 466 .
   Web of Science ®Google Scholar
• Gunter , B. 1987 . “A Perspective on the Taguchi Methods,” . Quality Progress , 20 ( 6 ) : 44 – 52 .
   Google Scholar
• Hubcr , P. J. 1964 . “Robust Estimation of a Location Parameter,” . Annals of Mathematical Statistic , 35 : 73 – 101 .
   Google Scholar
• Hubcr , P. J. 1981 . Robust Statistics New York : John Wiley. .
   Google Scholar
• Hunter , J. S. 1987 . “Signal to Noise Ratio Depicted,” . Quality Progress , 20 ( 5 ) : 7 – 8 .
   Google Scholar
• International Mathematical and Statistical Libraries, Inc . 1979 . The IMSL Library Houston : Author. .
   Google Scholar
• Johnson , N. L. and Kotz , S. 1970 . Distributions in Statistics Continuous Univariate Distributions 1 Boston : Houghton Mifflin. .
   Google Scholar
• Leon , R. V. , Shoemaker , A. C. and Kacker , R. N. 1987 . “Performance Measures Independent of Adjustment” . Technometrics , 29 : 253 – 285 . (with discussion)
   Web of Science ®Google Scholar
• Mosteller , F. and Tukey , J. W. 1977 . Data Analysis and Regression Reading , MA : Addison-Wesley. .
   Google Scholar
• Nair , V. N. 1986 . “Testing in Industrial Experiments With Ordered Categorical Data” . Technometrics , 28 : 283 – 291 . (with discussion)
   Web of Science ®Google Scholar
• Nair , V. N. and Pregibon , D. 1986 . “A Data Analysis Strategy for Quality Engineering Experiments,” . AT&T Technical Journal , 65 : 73 – 84 .
   Web of Science ®Google Scholar
• Nair , V. N. and Pregibon , D. 1987 . “Analysis of Dispersion Effects: When to Log?” unpublished manuscript submitted to Technometrics.
   Google Scholar
• Pearson , E. S. and Neyman , J. 1930 . “On the Problem of Two Samples,” . Bulletin de I'Academie Polonaise des Sciences , vol. unknown : 73 – 96 . Ser. A
   Google Scholar
• Phadke , M. S. “Quality Engineering Using Design of Experiments,” . Proceedings of the Section on Statistical Education . pp. 11 – 20 . American Statistical Association. .
   Google Scholar
• Phadke , M. S. , Kackar , R. N. , Speeney , D. V. and Grieco , M. J. 1983 . “Off-Line Quality Control for Integrated Circuit Fabrication Using Experimental Design,” . Bell System Technical Journal , 62 : 1273 – 1309 .
   Google Scholar
• Plackett , R. L. and Burman , J. P. 1946 . “The Design of Optimum Multifactorial Experiments,” . Biometrika , 33 : 305 – 325 .
   Web of Science ®Google Scholar
• Quinlan , J. 1985 . “Product Improvement by Application of Taguchi Methods,”. ” . In American Supplier Institute News 11 – 16 . Dearborn , MI : American Supplier Institute. . (specialsymposium ed.)
   Google Scholar
• Rand Corporation . 1955 . A Million Random Digits With 100,000 Normal Deviates Glencoe , IL : Free Press. .
   Google Scholar
• Rao , C. R. 1947 . “Factorial Experiments Derivable From Combinatorial Arrangements of Arrays,” . Journal of the Royal Statistical Society , 9 : 128 – 139 . (supp.)
   Google Scholar
• Stein , C. “Inadmissibility of the Usual Estimator of the Mean of a Multivariate Normal Distribution,” . Proceedings of the Third Berkeley Symposium . Vol. 1 , pp. 197 – 206 . Berkeley : University of California Press. .
   Google Scholar
• Taguchi , G. 1986 . Introduction to Quality Engineering: Designing Quality Into Products and Processes White Plains , NY : Kraus International Publications. .
   Google Scholar
• Taguchi , G. and Phadke , M. S. “Quality Engineering Through Design Optimization,” . Conference Record . pp. 1106 – 1113 . New York : Institute of Electrical and Electronics Engineers. . (Vol. 3, IEEE Globecom 1984 Conference, Atlanta, Georgia)
   Google Scholar
• Taguchi , G. and Wu , Y. 1985 . Introduction to Off-Line Quality Control Nagaya , , Japan : Central Japan Quality Control Association. .
   Google Scholar
• Tukey , J. W. 1977 . Exploratory Data Analysis Reading , MA : Addison-Wesley. .
   Google Scholar