Response surface designs within a split-plot structure

Journal of Quality Technology

Volumn 37, Issue 2, 2005, Pages 115-129

  Vining, G Geoffrey ^a,d   Kowalski, Scott M ^b   Montgomery, Douglas C ^c,d,e  

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

^b Minitab Inc   (United States)

^c ARIZONA STATE UNIVERSITY   (United States)

^d Department of Statistics ^*  (United States)

^e Arizona State University   (United States)

Author keywords

Central Composite Designs; Design of Experiments; Split Plot Experiments

Indexed keywords

INDUSTRIAL ENGINEERING; MATHEMATICAL MODELS; MATRIX ALGEBRA; QUALITY CONTROL; RANDOM PROCESSES; STATISTICAL METHODS;

CENTRAL COMPOSITE DESIGNS; RANDOMIZATION; SECOND ORDER RESPONSE SURFACES; SPLIT PLOT EXPERIMENTS;

ENGINEERING RESEARCH;

EID: 18144390871     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2005.11980310     Document Type: Article

References (14)

1. q-r Split Plot Experiments". Journal of Quality Technology 32, pp. 39-56.
2. k-p Prototype Experiments". Technometrics 39, pp. 52-62.
3. 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.
4. BOX, G. E. P. and HUNTER, J. S. (1957). "Multifactor Experimental Designs for Exploring Response Surfaces". Annals of Mathematical Statistics 28, pp. 195-241.
5. DRAPER, N. R. and JOHN, J. A. (1998). "Response Surface Designs where Levels of Some Factors Are Difficult to Change". Australian and New Zealand Journal of Statistics 40, pp. 487-495.
6. GRAYBILL, F. A. (1976). Theory and Application of the Linear Model. Duxbury, North Scituate, MA.
7. HARTLEY, H. O. (1959). "Smallest Composite Design for Quadratic Response Surfaces". Biometrics 15, pp. 611-624.
8. KOWALSKI, S. M.; CORNELL, J. A.; and VINING, G. G. (2002). "Mixture Experiments with Process Variables Under Restricted Randomization". Technometrics 44, pp. 72-79.
9. LETSINGER, J. D.; MYERS, R. H.; and LENTNER, M. (1996). "Response Surface Methods for Bi-Randomization Structures". Journal of Quality Technology 28, pp. 381-397.
10. MCELROY, F. W. (1967). "A Necessary and Sufficient Condition that Ordinary Least Squares Estimators Be Best Linear Unbiased". Journal of the American Statistical Association 62, pp. 1302-1304.
11. MONTGOMERY, D. C. (2001). Design and Analysis of Experiments, 5th edition. John Wiley & Sons, New York.
12. TRINCA, L. A. and GILMOUR, S. G. (2001). "Multistratum Response Surface Designs". Technometrics 43, pp. 25-33.
13. VINING, G. G. and KOWALSKI, S. M. (2005). "Exact Inference for Response Surface Designs within a Split Plot Structure". Submitted for publication.
14. WOODING, W. M. (1973). "The Split-Plot Design". Journal of Quality Technology 5, pp. 16-33.