Mixture component-amount designs via projections, including orthogonally blocked designs

Journal of Quality Technology

Volumn 36, Issue 4, 2004, Pages 413-431

  Prescott, Philip ^a   Draper, Norman R ^b,c  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF WISCONSIN MADISON   (United States)

^c University of Wisconsin Madison   (United States)

Author keywords

Latin Squares; Mixture Experiments; Orthogonal Blocks; Quadratic Model; Quadratic Response Surface Models; Scheff

Indexed keywords

DATA ACQUISITION; DETERGENTS; DRUG PRODUCTS; MATHEMATICAL MODELS; PRODUCT DESIGN; STATISTICAL METHODS; SYNTHESIS (CHEMICAL); WATER POLLUTION;

LATIN SQUARES; MIXTURE EXPERIMENTS; QUADRATIC RESPONSE SURFACE MODEL;

FERTILIZERS;

EID: 6344233736     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.2004.11980288     Document Type: Article

References (15)

1. CHAN, L. Y. (2000). "Optimal designs for experiments with mixtures: a survey". Communications in Statistics- Theory and Methods 29, pp. 2281-2312.
2. CHAN, L. Y. and SANDHU, M. K. (1999). "Optimal orthogonal block designs for a quadratic mixture model for three components". Journal of Applied Statistics 26, pp. 19-34.
3. CORNELL, J. A. (2002). Experiments with, Mixtures; Designs, Models, and the Analysis of Mixture Data, (3rd ed.), John Wiley, New York.
4. CZITROM, V. (1988). "Mixture experiments with process variables: D-optimal orthogonal experimental designs". Communications in Statistics - Theory and Methods 17, pp. 105-121.
5. CZITROM, V. (1989). "Experimental designs for four mixture components with process variables." Communications in Statistics - Theory and Methods 18, pp. 4561-4581.
6. DRAPER, N. R.; PRESCOTT, P.; LEWIS, S. M.; DEAN, A. M.; JOHN, P. W. M.; and TUCK, M. G. (1993). "Mixture designs for four components in orthogonal blocks". Technometrics 35, pp. 268-276. See also Correction, Technometrics 36, p. 234.
7. HILGERS, R.-D. (1999). "Design efficiency and estimation for component amount models". Biometrical Journal 41, pp. 783-798.
8. HILGERS, R.-D. and BAUER, P. (1995). "Optimal designs for mixture amount experiments". Journal of Statistical Planning and Inference 48, pp. 241-246.
9. JOHN, P. W. M. (1984). "Experiments with mixtures involving process variables". Technical Report 8, The University of Texas, Austin, Center for Statistical Sciences.
10. LEWIS, S. M.; DEAN, A. M.; DRAPER, N. R.; and PRESCOTT, P. (1994). "Mixture designs for q components in orthogonal blocks". Journal of the Royal Statistical Society, Series B 56, pp. 457-467.
11. NIGAM, A. K. (1976). "Corrections to blocking conditions for mixture experiments". The Annals of Statistics 47, pp. 1294-1295.
12. PIEPEL, G. F. (1988). "A note on models for mixture-amount experiments when the total amount takes a zero value". Technometrics 30, pp. 449-450.
13. PIEPEL, G. F. and CORNELL, J. A. (1985). "Models for mixture experiments when the response depends on the total amount". Technometrics, 27, pp. 219-227.
14. PRESCOTT, P.; DRAPER, N. R.; DEAN, A. M.; and LEWIS, S. M. (1993). "Mixture designs for five components in orthogonal blocks". Journal of Applied Statistics 20, pp. 105-117.
15. SNEE, R. D. (1995). "Comment on Draper, Prescott, Lewis, Dean, John and Tuck (1993): understanding formulation systems". Technometrics 37, pp. 131-132.