References
- Draper , N. and Smith , H. , Applied Regression Analysis , 2nd cd. , John Wiley & Sons , New York , 1981 .
- Myers , R. H. , Classical and Modern Regression with Applications , Duxbury Press , Boston , 1986 .
- Zellner , A. , An Efficient Method of Estimating Seemingly Unrelated Regressions and Tests for Aggression Bias , J. Am. Statist. Assoc , 57 , 348 – 368 ( 1962 ).
- Seber , G. A. F. , Multivariate Observations , John Wiley & Sons , New York , 1984 .
- Fogliatto , F. S. , Albin , S. L. , and Tepper , B. J. , A Hierarchical Approach to Optimizing Descriptive Analysis Multiresponse Experiments , J Sensory Studies , 14 ( 4 ), 443 – 465 ( 1999 ).
- Lind , E. E. , Goldin , J. , and Hickman , J. B. , Fitting Yield and Cost Response Surfaces , Chem. Eng. Prog ., 56 , 62 – 68 ( 1960 ).
- Myers , R. H. and Carter , W H. , Response Surface Techniques for Dual Response Surfaces , Technometrics , 15 , 301 – 317 ( 1973 ).
- Biles , W. E. , A Response Surface Method for Experimental Optimization of Multi-Response Processes , Ind. Eng. Chem., Process Des.Dev ., 14 , 152 – 158 ( 1975 ).
- Myers , R. H. , Khuri , A. I. , and Vining , G. , Response Surface Alternatives to the Taguchi Robust Parameter Design Approach , Am. Statistician , 46 ( 2 ), 131 – 139 ( 1992 ).
- Del Castillo , E. , Multiresponse Process Optimization via Constrained Confidence Regions , J. Qual. Technoi , 28 ( 1 ), 61 – 70 ( 1996 ).
- Harrington , E. C. Jr. , The Desirability Function , Ind. Qual. Control , 21 ( 10 ), 494 – 498 ( 1965 ).
- Derringer , G. and Suich , R. , Simultaneous Optimization of Several Response Variables , J. Qual. Technoi ., 12 ( 4 ), 214 – 219 ( 1980 ).
- Chang , S. and Shivpuri , R. A. , Multiple-Objective Decision-Making Approach for Assessing Simultaneous Improvement in Die Life and Casting Quality in a Die Casting Process , Qual. Eng. , 7 , 371 – 383 ( 1994 ).
- Del Castillo , E. , Montgomery , D. C. , and McCarville , D. R. , Modified Desirability Functions for Multiple Response Optimization , J. Qual. Technoi ., 28 ( 3 ), 337 – 345 ( 1996 ).
- Elsayed , E. A. and Chen , A. , Optimal Levels of Process Parameters for Products with Multiple Characteristics , Int. J. Prod. Res. , 31 ( 5 ), 1117 – 1132 ( 1993 ).
- Logothetis , N. and Haigh , A. , Characterizing and Optimizing Multi-Response Processes by the Taguchi Method , Qual. Reliab. Eng. Int ., 4 , 159 – 169 ( 1988 ).
- Raiman , L. B. and Case , K. E. , The Development and Implementation of Multivariate Cost of Poor Quality Loss Function , IMSE Working Paper 92 – 152 , Penn State University ( 1992 ) .
- León , N. A. , A Pragmatic Approach to Multi-response Problems Using Loss Functions , Qual. Eng ., 9 , 213 – 220 ( 1996 ).
- Tribus , M. and Szonyl , G. , An Alternative View of the Taguchi Approach , Qual. Prog ., 2 , 46 – 52 ( 1989 ).
- Yum , B. and Ko , S. , On Parameter Design Optimization Procedures , Qual. Reliab. Eng. Int. , 7 39 – 46 ( 1991 ).
- Pignatiello , J. J. , Jr., Strategies for Robust Multiresponse Quality Engineering , HE Trans ., 25 , 5 – 15 ( 1993 ).
- Ribeiro , J. L. and Elsayed , E. A. , A Case Study on Process Optimization Using the Gradient Loss Function , Int. J. Prod. Res. , 33 ( 12 ]), 3233 – 3248 ( 1995 ).
- Khuri , A. I. and Conlon , M. , Simultaneous Optimization of Multiple Responses Represented by Polynomial Regression Functions , Technometrics , 23 ( 4 ), 363 – 375 ( 1981 ).
- Fogliatto , F. S. and Albin , S. L. , A Hierarchical Method for Multiresponse Experiments , HE Trans , (in press) .
- Saaty , T. L. , The Analytic Hierarchy Process , McGraw-Hill , New York , 1980 .
- Wurl , R. and Albin , S. , A Comparison of Multiresponse Optimization Sensitivity to Parameter Selection , Qual. Eng. , 11 ( 3 ), 405 – 415 ( 1999 ).
- Deaton , M. L. , Reynolds , M. R. , Jr., and Myers , R. H. , Estimation and Hypothesis Testing in Regression in the Presence of Non-homogeneous Error Variances , Commun. Statist. , B12 ( 1 ), 45 – 66 ( 1983 ).
- Johnson , R. A. Wichern, D. W, Applied Multivariate Statistical Analysis , 3rd ed. , Prentice-Hall , Englewood Cliffs , NJ , 1992 .
- SAS Institute , SAS Version 6.0. SAS Institute , Cary , NC , 1990 .
- Srivastava , V. K. and Giles , D. E. A. , Seemingly Unrelated Regression Equations Models - Estimation and Inference , Marcel Dekker , New York , 1987 .
- Meilgaard , M. , Civille, G. V, and Carr , B. T. , Sensory Evaluation Techniques , 2nd ed. , CRC Press , Boca Raton , FL , 1991 .
- Montgomery , D. C. and Peck , E. A. , Introduction to Linear Regression Analysis , 2nd ed. , John Wiley & Sons , New York , 1992 .
- Saaty , T. L. , A Scaling Method for Priorities in Hierarchical Structures , J. Math. Psychol. , 15 , 234 – 281 ( 1977 ).
- Seber , G. A. F. , Linear Regression Analysis , John Wiley & Sons , New York , 1977 .