On the Problem of Interactions in the Analysis of Variance

References

• Bechhofer , R. E. 1954 . A Single-Sample Multiple Decison Procedure for Ranking Means of Normal Populations With Known Variances . The Annals of Mathematical Statistics , 25 : 16 – 39 .
   Google Scholar
• Bechhofer , R. E. and Dunnett , C. W. Two-Stage Selection of the Best Factor-Level Combination in Multi-factor Experiments: Common Unknown Variance . Statistical Design: Theory and Practice, Proceedings of a Conference in Honor of Walter T. Federer . pp. 3 – 15 . Cornell University .
   Google Scholar
• Bickel , P. J. 1983 . “ Minimax Estimation of the Mean of a Normal Distribution Subject to Doing Well at a Point ” . In Recent Advances in Statistics, Festschrift for H. Chernoff , Edited by: Rizvi , H. and Siegmund , D. 511 – 528 . New York : Academic Press .
   Google Scholar
• Bickel , P. J. 1984 . Parametric Robustness: Small Biases Can Be Worthwhile . The Annals of Statistics , 12 : 864 – 879 .
   Web of Science ®Google Scholar
• Bohrer , R. and Sheft , J. 1979 . Misclassification Probabilities in 23 Factorial Experiments . Journal of Statistical Planning and Inference , 3 : 79 – 84 .
   Web of Science ®Google Scholar
• Brown , B. W. 1980 . The Crossover Experiment for Clinical Trials . Biometrics , 36 : 69 – 79 .
   PubMed Web of Science ®Google Scholar
• Casella , G. and Hwang , J. T. 1987 . Employing Vague Prior Information in the Construction of Confidence Sets . Journal of Multivariate Analysis , 21 : 79 – 104 .
   Web of Science ®Google Scholar
• De Bohr , C. 1978 . A Practical Guide to Splines , New York : Springer-Verlag .
   Google Scholar
• Efron , B. and Morris , C. 1971 . Limiting the Risk of Bayes and Empirical Bayes Estimates: Part I. The Bayes Case . Journal of the American Statistical Association , 66 : 807 – 815 .
   Web of Science ®Google Scholar
• Fabian , V. 1962 . On Multiple Decision Methods for Ranking Population Means . Annals of Mathematical Statistics , 33 : 248 – 254 .
   Google Scholar
• Fabian , V. 1988 . On the Problem of Interactions in the Analysis of Variance , Michigan State University, Dept. of Statistics and Probability . research memorandum
   Google Scholar
• Fabian , V. and Hannan , J. 1985 . Introduction to Probability and Mathematical Statistics , New York : John Wiley .
   Google Scholar
• Fisher , Ronald Sir . 1955 . Statistical Methods and Scientific Induction . Journal of the Royal Statistical Society , 17 : 69 – 78 . Ser. B
   Google Scholar
• Grizzle , J. E. 1965 . The Two-Period Change-over Design and Its Use in Clinical Trials . Biometrics , 21 : 467 – 480 . (see Corr., Biometrics, 30, 727)
   PubMed Web of Science ®Google Scholar
• Leonard , T. and Ord , J. 1976 . An Investigation of the F-Test Procedure as an Estimation Short-cut . Journal of the Royal Statistical Society , 38 : 95 – 98 . Ser. B
   Google Scholar
• Marazzi , A. 1980 . Robust Bayesian Estimation for the Linear Model Technical Report 27, E. T. H. Zurich
   Google Scholar
• Marazzi , A. 1982 . On Constrained Minimization of the Bayes Risk for the Linear Model Technical Report 34, E. T. H. Zurich
   Google Scholar
• Neyman , J. 1935 . Comment on “Complex Experiments,” . Journal of the Royal Statistical Society , 2 : 235 – 242 . by F. Yates
   Google Scholar
• Neyman , J. 1956 . Note on an Article by Sir Ronald Fisher . Journal of the Royal Statistical Society , 18 : 288 – 294 . Ser. B
   Google Scholar
• Owen , D. B. 1962 . Handbook of Statistical Tables , Reading , MA : Addison-Wesley .
   Google Scholar
• Sclove , S. L. , Morris , C. and Radhakrishnan , R. 1972 . Non-optimality of Preliminary-Test Estimators for the Mean of a Multivariate Normal Distribution . Annals of Mathematical Statistics , 43 : 1481 – 1490 .
   Google Scholar
• Shaffer , J. P. 1991 . Probability of Directional Errors With Disordinal (Qualitative) Interaction . Psychometrika , 56 : 29 – 38 .
   Web of Science ®Google Scholar
• Toyoda , T. and Wallace , T. D. 1976 . Optimal Critical Values for Pre-testing in Regression . Econometrica , 44 : 356 – 375 .
   Web of Science ®Google Scholar
• Traxler , R. H. 1976 . A Snag in the History of Factorial Experiments , Edited by: Owen , D. B. New York : On the History of Statistics and Probability . Marcel Dekker
   Google Scholar
• Wolfowitz , J. 1967 . Remarks on the Theory of Testing Hypotheses . The New York Statistician , 18 : 1 – 4 .
   Google Scholar
• Wolfowitz , J. 1969 . “ Reflections on the Future of Mathematical Statistics ” . In Essays in Probability and Statistics , Edited by: Bose , R. C. , Chakravarty , I. M. , Mahalanobis , P. C. , Rao , C. R. and Smith , K. J. 739 – 750 . Chapel Hill , NC : University of North Carolina Press .
   Google Scholar
• Yates , F. 1935 . Complex Experiments . Journal of the Royal Statistical Society , : 181 – 247 . with discussion, Suppl. 2
   Google Scholar