Response surface methods for bi-randomization structures

Journal of Quality Technology

Volumn 28, Issue 4, 1996, Pages 381-397

  Letsinger, Jennifer D ^a,c   Myers, Raymond H ^b,c   Lentner, Marvin ^a,c  

^a UNIVERSITY OF DELAWARE   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^c Department of Mathematical Sciences ^*

Author keywords

Design Efficiencies; Generalized Least Squares Regression; Response Surface Methodology; Split Plot Designs

Indexed keywords

ERRORS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; RANDOM PROCESSES;

BIRANDOMIZATION ERROR CONTROL; COST CONTROL; RESOURCE AVAILABILITY; RESPONSE SURFACE METHODS;

PROCESS CONTROL;

EID: 0030260345     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.1996.11979697     Document Type: Article

References (33)

1. ANBARI, F. T. and LUCAS, J. M. (1993). "Super-Efficient Designs When There are Hard-To-Change Factors". Unpublished Manuscript.
2. ANDERSON, R. L. and BANCROFT, T. L. (1952). Statistical Theory in Research. McGraw-Hill, New York, NY.
3. ANDERSON, V. L. and McLEAN, R. A. (1974). Design of Experiments: A Realistic Approach. Marcel Dekker, Inc., New York, NY.
4. ATKINSON, A. C. (1982). "Developments in the Design of Experiments". International Statistical Review 50, pp. 161-177.
5. BOX, G. E. P. and BEHNKEN, D. W. (1960). "Some New Three-Level Designs for the Study of Quantitative Variables". Technometrics 2, pp. 455-475.
6. BOX, G. E. P. and DRAPER, N. R. (1987). Empirical Model Building and Response Surfaces. John Wiley & Sons, New York, NY.
7. BOX, G. E. P. and JONES, S. (1992). "Split-Plot Designs for Robust Parameter Design Approach". Journal of Applied Statistics 19, pp. 3-26.
8. BOX, G. E. P. and WILSON, K. B. (1951). "On the Experimental Attainment of Optimum Conditions". Journal of the Royal Statistical Society B 13, pp. 1-45.
9. DAVISON, J. J.; MYERS, R. H.; and LENTNER, M. (1996). "Response Surface Designs and Analysis for Bi-Randomization Error Structures". Technical Report No. 96-20, Department of Statistics, Virginia Tech, Blacksburg, VA.
10. GRAYBILL, F. A. (1976). Theory and Application of the Linear Model. Duxbury Press. Boston, MA.
11. HARTLEY, H. O. (1959). "Smallest Composite Design for Quadratic Response Surfaces". Biometrics 15, pp. 611-624.
12. KHURI, A. I. (1992). "Response Surface Models with Mixed Effects". Journal of Quality Technology 28, pp. 177-186.
13. KHURI, A. I. and CORNELL, J. A. (1987). Response Surfaces: Design and Analysis. Marcel Dekker, New York, NY.
14. KIEFER, J. (1958). "On the Nonrandomized Optimality and the Randomized Nonoptimality of Symmetrical Designs". Annals of Mathematical Statistics 29, pp. 675-699.
15. KIEFER, J. (1959). "Optimum Experimental Designs". Journal of the Royal Statistical Society B 21, pp. 272-319.
16. KIEFER, J. and WOLFOWITZ, J. (1959). "Optimum Designs in Regression Problems". Annals of Mathematical Statistics 30, pp. 271-294.
17. KIEFER, J. and WOLFOVVITZ, J. (1960). "The Equivalence of Two Extremum Problems". Canadian Journal of Mathematics 12, pp. 363-366.
18. LUCAS, J. M. and JU, H. L. (1992). "Split Plotting and Randomization in Industrial Experiments". ASQC Quality Congress Transactions. ASQC, Milwaukee, WI. pp. 374-382.
19. MONTGOMERY, D. C. (1991). Design and Analysis of Experiments, 3rd ed. John Wiley & Sons, New York, NY.
20. MYERS, R. H. (1976). Response Surface Methodology. Published by Author, Blacksburg, VA.
21. MYERS, R. H.; KHURI, A. I.; and VINING, G. G. (1992). "Response Surface Alternatives to the Taguchi Robust Parameter Design Approach". The American Statistician 46, pp. 131-139.
22. MYERS, R. H. and MONTGOMERY, D. C. (1995). Response Surface Methodology: Process and Product Optimization Using Designed Experiments. John Wiley & Sons, New York, NY.
23. NAIR, V. N. (EDITOR) (1992). "Taguchi's Parameter Design: A Panel Discussion". Technometrics 34, pp. 127-161.
24. PLACKETT, R. L. and BURMAN, J. P. (1946). "The Design of Multifactorial Experiments". Biometrika 33, pp. 305-325.
25. ROQUEMORE, K. G. (1976). "Hybrid Designs for Quadratic Response Surfaces". Technometrics 18, pp. 419-423.
26. RUSSELL, T. S. and BRADLEY, R. A. (1958). "One-Way Variances in the Two-Way Classification". Biometrika 45, pp. 111-129.
27. SAS (1992). Technical Report P-229, SAS/STAT Software, Release 6.07. Cary, NC.
28. SEARLE, S. R.; CASELLA, G.; and McCULLOCH, C. E. (1992). Variance Components. John Wiley & Sons, New York, NY.
29. SILVEY, S. D. (1980). Optimal Designs. Chapman & Hall, London, England.
30. TAGUCHI, G. (1986). Introduction to Quality Engineering: Designing Quality into Products and Processes. UNIPUB/Kraus International, White Plains, NY.
31. TAGUCHI, G. (1987). System of Experimental Design: Engineering Methods to Optimize Quality and Minimize Cost. UNIPUB/Kraus International, White Plains, NY.
32. YATES, F. (1935). "Complex Experiments". Journal of the Royal Statistical Society Supplement 2, pp. 181-247.
33. YATES, F. (1937). The Design and Analysis of Factorial Experiments. Imperial Bureau of Soil Sciences, London, England.