A Predictive Approach to the Analysis of Designed Experiments

References

• Aitchison , J. and Dunsmore , I. R. 1975 . Statistical Prediction Analysis , New York : Cambridge University Press .
   Google Scholar
• Akaike , H. 1973 . “Information Theory and an Extension of the Maximum Likelihood Principle,” . In International Symposium on Information Theory , Edited by: Petrov , B. N. and Csaki , F. 267 – 281 . Budapest : Akademia Kiado .
   Google Scholar
• Akaike , H. 1978 . “A New Look at the Bayes Procedure,” . Biometrika , 65 : 53 – 59 .
   Web of Science ®Google Scholar
• Box , G. E. P. and Kanemasu , H. 1973 . “Posterior Probabilities of Candidate Models in Model Discrimination,” , University of Wisconsin Depart. of Statistics . Technical Report 322
   Google Scholar
• Box , G. E. P. and Tiao , G. C. 1973 . Bayesian Inference in Statistical Analysis , Reading , MA : Addison-Wesley .
   Google Scholar
• Broemeling , L. D. 1985 . Bayesian Analysis of Linear Models , New York : Marcel Dekker .
   Google Scholar
• Christensen , R. 1987 . Plane Answers To Complex Questions , New York : Springer-Verlag .
   Google Scholar
• Cook , R. D. and Weisberg , S. 1982 . Residuals and Influence in Regression , London : Chapman and Hall .
   Google Scholar
• Eaton , M. L. 1983 . Multivariate Statistics: A Vector Space Approach , New York : John Wiley .
   Google Scholar
• Geisser , S. 1965 . “Bayesian Estimation in Multivariate Analysis,” . Annals of Mathematical Statistics , 36 : 150 – 159 .
   Google Scholar
• Geisser , S. 1971 . “The Inferential Use of Predictive Distributions,” . In Foundations of Statistical Inference , Edited by: Godambe and Sprott . 456 – 466 . Toronto : Holt, Rinehart, and Winston .
   Google Scholar
• Geisser , S. and Eddy , W. F. 1979 . “A Predictive Approach to Model Selection,” . Journal of the American Statistical Association , 74 : 153 – 160 . corr, 75, 765
   Web of Science ®Google Scholar
• John , P. W. M. 1971 . Statistical Design and Analysis of Experiments , New York : Macmillan .
   Google Scholar
• Johnson , W. and Geisser , S. 1983 . “A Predictive View of the Detection and Characterization of Influential Observations in Regression Analysis,” . Journal of the American Statistical Association , 78 : 137 – 144 .
   Web of Science ®Google Scholar
• Kullback , S. 1968 . Information Theory and Statistics , New York : Dover Publications .
   Google Scholar
• Laud , P. W. and Ibrahim , J. G. 1993 . “Predictive Model Selection,” , Northern Illinois University, Division of Statistics . Technical Report 93-01
   Google Scholar
• McCulloch , R. E. 1989 . “Local Model Influence,” . Journal of the American Statistical Association , 84 : 473 – 478 .
   Web of Science ®Google Scholar
• Mitchell , T. J. and Beauchamp , J. J. 1988 . “Bayesian Variable Selection in Linear Regression” . Journal of the American Statistical Association , 83 : 1023 – 1036 . (with discussion)
   Web of Science ®Google Scholar
• San Martini , A. and Spezzaferri , F. 1984 . “A Predictive Model Selection Criterion,” . Journal of the Royal Statistical Society , 42 : 213 – 220 . Ser. B
   Google Scholar
• Sawa , T. 1978 . “Information Criteria For Discriminating Among Alternative Regression Models,” . Econometrica , 46 : 1273 – 1291 .
   Web of Science ®Google Scholar
• Schefïé , H. 1959 . The Analysis of Variance , New York : John Wiley .
   Google Scholar
• Schwarz , G. 1978 . “Estimating the Dimension of a Model,” . The Annals of Statistics , 6 : 461 – 464 .
   Web of Science ®Google Scholar
• Searle , S. A. 1971 . Linear Models , New York : John Wiley .
   Google Scholar
• Seber , G. A. F. 1977 . Linear Regression Analysis , New York : John Wiley .
   Google Scholar
• Smith , A. F. M. and Spiegelhalter , D. J. 1980 . “Bayes Factors and Choice Criteria for Linear Models,” . Journal of the Royal Statistical Society , 42 : 213 – 220 . Ser. B.
   Google Scholar
• Spiegel halter , D. J. and Smith , A. F. M. 1982 . “Bayes Factors for Linear and Log-Linear Models with Vague Prior Information,” . Journal of the Royal Statistical Society , 44 : 377 – 387 . Ser. B
   Google Scholar
• Yates , F. 1937 . “The Design and Analysis of Experiments,” , Harpenden , , England : Imperial Bureau of Soil Science . report
   Google Scholar
• Young , A. S. 1987 . “On the Information Criterion for Selecting Regressors,” . Metrika , 34 : 185 – 194 .
   Google Scholar
• Zellner , A. 1986 . “On Assessing Prior Distributions and Bayesian Regression Analysis With g-Prior Distributions,” . In Studies in Bayesian Econometrics and Statistics , Edited by: Goel , P. K. and Zellner , A. 233 – 243 . New York : Elsevier .
   Google Scholar