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Original Articles

Bayesian Analysis of Ordered Categorical Data From Industrial Experiments

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Pages 1-10 | Published online: 12 Mar 2012

REFERENCES

  • Albert , J. and Chib , S. 1993 . “Bayesian Analysis of Binary and Polychotomous Response Data,” . Journal of the American Statistical Association , 88 : 669 – 679 .
  • Box , G. E. P. 1980 . “Sampling and Bayes' Inference in Scientific Modelling and Robustness,” . Journal of the Royal Statistical Society, Ser. A , 143 : 383 – 430 .
  • Carlin , B. P. and Gelfand , A. E. 1991 . “An Iterative Monte Carlo Method for Nonconjugate Bayesian Analysis,” . Statistics and Computing , 1 : 119 – 128 .
  • Cowles , M. K. 1994 . “Assessing and Accelerating Monte Carlo Markov Chain Convergence for Cumulative-Link Generalized Linear Models,” , University of Nebraska, Dept. of Preventative and Societal Medicine . Technical Report 94–001
  • Gelfand , A. E. and Smith , A. F. M. 1990 . “Sampling-based Approaches to Calculating Marginal Densities,” . Journal of the American Statistical Association , 85 : 398 – 09 .
  • Geman , S. and Geman , D. 1984 . “Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 6 : 721 – 741 .
  • George , E. I. and McCulloch , R. E. 1993 . “Variable Selection Via Gibbs Sampling,” . Journal of the American Statistical Association , 88 : 881 – 889 .
  • Gilks , W. R. and Wild , P. 1992 . “Adaptive Rejection Sampling for Gibbs Sampling,” . Applied Statistics , 41 : 337 – 348 .
  • Hamada , M. and Wu , C. F. J. 1990 . “A Critical Look at Accumulation Analysis and Related Methods,” . Technometrics , 32 : 119 – 162 .
  • Hamada , M. and Wu , C. F. J. 1995 . “Analysis of Censored Data From Fractionated Experiments: A Bayesian Approach,” . Journal of the American Statistical Association , 90 : 467 – 477 .
  • Jinks , J. “Reduction of Voids in a Urethane-Foam Product,” . Fifth Symposium on Taguchi Methods . pp. 135 – 148 . Dearborn , MI : American Suppliers Institute, Inc. .
  • Kernighan , B. W. 1977 . “RATFOR—A Preprocessor for a Rational Fortran,” , Murray Hill , NJ : Bell Laboratories . Computing Science Technical Report 55
  • Lawless , J. F. and Singhal , K. 1978 . “Efficient Screening of Nonnormal Regression Models,” . Biometrics , 34 : 318 – 327 .
  • McCullagh , P. 1980 . “Regression Models for Ordinal Data,” . Journal of the Royal Statistical Society, Ser. B , 42 : 109 – 142 .
  • Nair , V. N. 1986 . “Testing in Industrial Experiments With Ordered Categorical Data,” . Technometrics , 28 : 283 – 291 .
  • Shoemaker , A. C. , Tsui , K. L. and Wu , C. F. J. 1991 . “Economical Experimentation Methods for Robust Design,” . Technometrics , 33 : 415 – 427 .
  • Smith , A. F. M. and Roberts , G. O. 1993 . “Bayesian Computation via the Gibbs Sampler and Related Markov Chain Monte Carlo Methods,” . Journal of the Royal Statistical Society, Ser. B , 55 : 3 – 23 .
  • Statistical Sciences, Inc . 1991 . S-PLUS User's Manual , Seattle , WA : Author .
  • Steinberg , D. M. and Bursztyn , D. 1993 . “Confounded Dispersion Effects in Robust Design Experiments With Noise Factors,” , University of Wisconsin-Madison, Center for Quality and Productivity Improvement . Report 93
  • Taguchi , G. 1974 . “A New Statistical Analysis for Clinical Data, the Accumulating Analysis, in Contrast With the Chi-Square Test,” . Saishin Igaku , 29 : 806 – 813 .
  • Tse , S. K. 1986 . “On the Existence and Uniqueness of Maximum Likelihood Estimates in Polytomous Response Models,” . Journal of Statistical Planning and Inference , 14 : 269 – 273 .
  • Wakefield , J. C. , Gelfand , A. E. and Smith , A. F. M. 1991 . “Efficient Generation of Random Variates via the Ratio-of-uniforms Method,” . Statistics and Computing , 1 : 129 – 133 .
  • Welch , W. J. , Yu , T. K. , Kang , S. M. and Sacks , J. 1990 . “Computer Experiments for Quality Control by Parameter Design,” . Journal of Quality Technology , 22 : 15 – 22 .

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