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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 18, 1986 - Issue 4
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Articles

An Alternative Approach to Fitting Models When Re-Expression of the Response is Useful

Pages 211-225 | Published online: 21 Feb 2018

References

  • Andrews, H. P.; Snee, R. D.; and Sarner, M. H. (1980). “Graphical Comparison of Means.” The American Statistician 34, pp. 195–199.
  • Bennett, C. A. and Franklin, N. L. (1954). Statistical Analysis in Chemistry and the Chemical Industry. John Wiley and Sons, Inc., New York, NY.
  • Bickel, P. J. and Doksum, K. A. (1981). “An Analysis of Transformation Revisited.” Journal of the American Statistical Association 76, pp. 296–311.
  • Box, G. E. P. and Tidwell, P. W. (1962). “Transformation of the Independent Variables.” Technometrics 4, pp. 531–550.
  • Box, G. E. P. and Cox, D. R. (1964). “An Analysis of Transformations” (with discussion). Journal of the Royal Statistical Society, Series B 26, pp. 211–252.
  • Box, G. E. P. and Cox, D. R. (1982). “An Analysis of Transformations Revisited, Rebutted.” Journal of the American Statistical Association 77, pp. 209–210.
  • Box, G. E. P. and Hill, W. J. (1974). “Correcting Inhomogeneity of Variance with Power Transformation Weighting.” Technometrics 16, pp. 385–389.
  • Box, G. E. P.; Hunter, W. G.; and Hunter, J. S. (1978). Statistics for Experimenters. Wiley-Intersciences, New York, NY. pp. 239–241.
  • Carroll, R. J. and Ruppert D. (1984). “Power Transformation When Fitting Theoretical Models to Data.” Journal of the American Statistical Association 79, pp. 321–328.
  • Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression. Chapman and Hall, New York, NY.
  • Daniel, C. and Wood, F. S. (1980). Fitting Equations to Data, 2nd ed. Wiley-Interscience, New York, NY.
  • Draper, N. R. and Hunter, W. G. (1969). “Transformations: Some Examples Revisited.” Technometrics 11, pp. 23–40.
  • Draper, N. R. and Smith, H. Jr. (1981). Applied Regression Analysis. 2nd ed. Wiley-Interscience, New York, NY.
  • Ezekiel, M. and Fox, K. A. (1959). Methods of Correlation and Regression Analysis. 3rd ed. John Wiley and Sons, Inc., New York, NY.
  • Finney, D. J. (1952). Statistical Method in Biological Assay. Hafner Publishing Company, New York, NY.
  • Hald, A. (1952). Statistical Theory with Engineering Applications. John Wiley and Sons, Inc., New York, NY.
  • Hinkley, D. V. and Runger, G. (1984). “The Analysis of Transformed Data with Discussion.” Journal of the American Statistical Association 79, pp. 302–320.
  • Irr, J. D. and Snee, R. D. (1982). “A Statistical Method for Analysis of Mouse Lymphoma L5178Y Cell TK Locus Forward Mutation Assay: Comparison of Results among Three Laboratories.” Mutation Research 97, pp. 371–392.
  • Jennrich, R. I. and Moore, R. H. (1975). “Maximum Likelihood Estimation by Means of Nonlinear Least Squares.” 1975 Proceedings of the American Statistical Association Section on Statistical Computing, pp. 57–65.
  • Larsen, R. I. (1969). “A New Mathematical Model for Air Pollutant Concentration, Averaging Time, and Frequency.” Journal of the Air Pollution Control Association 19, pp. 24–30.
  • Leech, D. (1975). “Testing the Error Specification in Nonlinear Regression.” Econometrika 43, pp. 719–725.
  • Marquardt, D. W. (1963). “An Algorithm for the Least Squares Estimation of the Nonlinear Parameters.” Journal of the Society of the Industrial Application of Mathematics 11, pp. 431–441.
  • Miller, D. M. (1984). “Reducing Transformation Bias in Curve Fitting.” The American Statistician 38, pp. 124–126.
  • Milliken, G. A. and DeBjruin, R. L. (1978). “Procedure to Test Hypotheses for Nonlinear Models.” Communications in Statistics—Theory and Methods, A7 (1), pp. 65–79.
  • Nelder, J. A. and Nedderburn, R. W. M. (1972). “Generalized Linear Models.” Journal of the Royal Statistical Society, Series A 135, pp. 370–384.
  • Ott, E. R. and Snee, R. D. (1973). “Identifying Useful Differences in a Multiple-Head Machine.” Journal of Quality Technology 5, pp. 47–57.
  • Pritchard, D. J.; Downie, J.; and Bacon, D. W. (1977). “Further Consideration of Heteroscedasticity in Fitting Kinetic Models.” Technometrics 19, pp. 227–236.
  • Scheffé, H. (1959). The Analysis of Variance. John Wiley and Sons, Inc., New York, NY.
  • Snedecor, G. W. and Cochran, W. G. (1980). Statistical Methods, 7th ed. Iowa State University Press, Ames, IA.
  • Snee, R. D. (1973). “Some Aspects of Nonorthogonal Data Analysis, Part II. Comparison of Means. “Journal of Quality Technology 5, pp. 109–122.
  • Snee, R. D. and Irr, J. D. (1981). “Design of a Statistical Method for the Analysis of Mutagenesis at the HGPRT Locus of Cultured Chinese Hamster Ovary Cells.” Mutation Research 85, pp. 77–93.
  • Snee, R. D. and Irr, J. D. (1984). “A Procedure for the Statistical Evaluation of Ames-Salmonella Assay Results: Comparison of Results among Four Laboratories.” Mutation Research 28, pp. 115–125.
  • Taylor, J. M. G. (1985). “Measures of Location of Skewed Distributions Obtained through Box-Cox Transformations.” Journal of the American Statistical Association 80, pp. 427–432.
  • Tukey, J. W. (1977). Exploratory Data Analysis. Addison-Wesley, Reading, MA.

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