Validation of Regression Models: Methods and Examples

REFERENCES

• Abranovic , W. A. 1974 . Production time estimates for spooled fabrics . Textile Research Journal , 44 : 574 – 577 .
   Web of Science ®Google Scholar
• Allen , D. M. 1971 . The prediction sum of squares as a criterion for selecting predictor variables Department of Statistics, University of Kentucky. . Technical Report No. 23
   Google Scholar
• Cady , F. B. and Allen , D. M. 1972 . Combining experiments to predict future yield data . Agronomy Journal , 64 : 211 – 214 .
   Web of Science ®Google Scholar
• Chock , Levitt D.P.S. B. and Terrill , T. R. Time series analysis of Riverside, California, air quality data . presented at the Air Pollution Control Ass'n Meeting . June 1974 , Denver , Colorado . APCA Paper No. 74–79
   Google Scholar
• Dixon , W. J. and Kuzma , J. W. 1974 . Data reduction in large clinical trials . Comm. in Statist. , 3 : 301 – 324 .
   Google Scholar
• Draper , N. R. and Smith , H. 1966 . Applied Regression Analysis New York : John Wiley & Sons. .
   Google Scholar
• Ezekiel , M. and Fox , K. A. 1959 . Methods of Correlation and Regression Analysis, , Third Edition 342 New York : John Wiley & Sons. .
   Google Scholar
• Forster , E. J. and Klein , R. H. Predicting the road antiknock blending behavior of gasoline components . Presented at the Automotive Engineering Congress and Exposition . January 8–12 1962 , Detroit .
   Google Scholar
• Geissfr , S. 1975 . The predictive sample reuse method with applications . J. Anter. Statist. Assoc. , 70 : 320 – 328 .
   Web of Science ®Google Scholar
• Healy , W. C. Jr. , Maasen , C. W. and Peterson , R. T. A new approach to blending octanes . Presented at the 24th Midyear Meeting of API Division of Refining . May 27 1959 , New York .
   Google Scholar
• Hill , W. J. and Wiles , R. A. 1975 . PLant Experimentation . J. Quality Technology , 7 : 115 – 122 .
   Google Scholar
• Hofrl , A. E. and Kennard , R. W. 1970 . Ridge regression: Biased estimation for nonorthogonal problems . Technometries , 12 : 55 – 68 .
   Web of Science ®Google Scholar
• Hofrl , A. E. and Kennard , R. W. 1970 . Ridge regression: Applications to nonorthogonal problems . Technomelrics. , 12 : 69 – 82 .
   Web of Science ®Google Scholar
• Johnson , S. C. 1967 . Hierarchical clustering schemes . Psychometrika , 32 : 241 – 254 .
   PubMed Web of Science ®Google Scholar
• Kennard , R. W. and Stone , L. 1969 . Computer aided design of experiments . Technometrics , 11 : 137 – 148 .
   Web of Science ®Google Scholar
• Laird , R. J. and Cady , F. B. 1969 . Combined analysis of yield data from fertilizer experiments . Agronomy Journal , 61 : 829 – 834 .
   Web of Science ®Google Scholar
• Marquardt , D. W. 1970 . Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation . Technometrics , 12 : 591 – 612 .
   Web of Science ®Google Scholar
• Marquardt , D. W. and Snee , R D. 1975 . Ridge regression in practice . Anter. Statist. , 29 : 3 – 20 .
   Web of Science ®Google Scholar
• Mccarthy , P. J. 1976 . The use of balanced half-sample replication in cross-validation studies . J. Anter. Statist. Assoc , 71 : 596 – 604 .
   Google Scholar
• Morris , W. E. The interaction approach to gasoline-blending . Presented at the NPRA 73rd Annual Meeting . March 23–25 1975 , San Antonio , Texas .
   Google Scholar
• Mosier , C. I. 1951 . Symposium: The need and means of cross-validation . Education and Psychological Measurement , 11 : 5 – 11 .
   Web of Science ®Google Scholar
• Novick , M. R. , Jackson , P. H. , Thayer , D. T. and Cole , N. S. 1972 . Estimating multiple regression in m groups: A cross-validation study . Br. J. Math. Statist. Psychol , 25 : 33 – 50 .
   Web of Science ®Google Scholar
• Savage , L. J. 1962 . The Foundations of Statistical Inference 34 London : Methuen. .
   Google Scholar
• Simon , H. A. 1953 . Prediction and hindsight as confirmatory evidence . Phil. Sci. , 22 : 227 – 230 .
   Google Scholar
• Snfe , R. D. 1973 . Some Aspects of nonorthogonal data analysis. Part I. Developing prediction equations . J. Quality Technology , 5 : 67 – 79 .
   Google Scholar
• Snee , R. D. 1975 . Experimental designs for quadratic models in constrained mixture spaces . Technometrics , 17 : 149 – 159 .
   Web of Science ®Google Scholar
• Stone , M. 1974 . Cross-validating choice and assessment of statistical predictions (with discussion) . j. Roy. Statist. Soc. B , 36 : 111 – 147 .
   Google Scholar
• Subrahmanyam , M. 1972 . A property of simple least squares estimates . Sankhya, B , 34 : 355 – 356 .
   Google Scholar