Optimization in a multivariate generalized linear model situation

Computational Statistics and Data Analysis

Volumn 52, Issue 10, 2008, Pages 4625-4634

  Mukhopadhyay, S ^a   Khuri, A I ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b University of Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; NUMERICAL METHODS; OPTIMIZATION; STATISTICAL METHODS;

GENERALIZED LINEAR MODEL; SIMULTANEOUS OPTIMIZATION; THERAPEUTIC EFFECTS;

LINEAR SYSTEMS;

EID: 44349186083     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2008.04.001     Document Type: Article

References (30)

1. Agresti A. Categorical Data Analysis. 2nd edition (2002), Wiley, New York
2. Beal J., Olson R., Lefkowitz L., Laubenstein L., Bellman P., Yangco B., Morales J., Murphy R., Powderly W., Plasse T., Mosdell K., and Shepard K. Long-term efficacy and safety of dronabinol for acquired immunodeficiency syndrome-associated anorexia. J. Pain Symptom Manag. 14 (1997) 7-14
3. Bekele N., and Shen Y. A Bayesian approach to jointly modeling toxicity and biomarker expression in a phase I/II dose-finding trial. Biometrics 61 (2005) 344-354
4. Casella G., and Berger R.L. Statistical Inference. 2nd edition (2002), Duxbury Press, Pacific Grove, CA
5. Chitra S.P. Multi-response optimization for designed experiments. Amer. Stat. Assoc. Proc. Stat. Comput. Sect. (1990) 107-112
6. Cichewicz D. Synergistic interactions between cannabinoid and opioid analgesics. Life Sci. 74 (2004) 1317-1324
7. Derringer G., and Suich R. Simultaneous optimization of several response variables. J. Qual. Technol. 12 (1980) 214-219
8. Fahrmeir L., and Tutz G. Multivariate Statistical Modelling Based on Generalized Linear Models. 2nd edition (2001), Springer, New York
9. Gennings C., Carter Jr. W.H., and Martin B.R. Drug interactions between morphine and marijuana. In: Lange N., Ryan L., Billard L., Brillinger D., Conquest L., and Greenhouse J. (Eds). Case Studies in Biometry (1994), Wiley, New York 429-451
10. Hamada M., and Nelder J.A. Generalized linear models for quality-improvement experiments. J. Qual. Technol. 29 (1997) 292-304
11. Harrington E.C. The desirability function. Ind. Quality Control 21 (1965) 494-498
12. Huyer W., and Neumaier A. Global optimization by multilevel coordinate search. J. Global Optim. 14 (1999) 331-355
13. Jearkpaporn D., Montgomery D., Runger G., and Borror C. Model-based process monitoring using robust generalized linear models. Int. J. Prod. Res. 43 (2005) 1337-1354
14. Khuri A.I., and Conlon M. Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics 23 (1981) 363-375
15. Khuri A.I., and Myers R.H. Modified ridge analysis. Technometrics 21 (1979) 467-473
16. Lee Y., and Nelder J.A. Joint modeling of the mean and dispersion for the analysis of quality improvement experiments. In: Park S.H., and Vining G.G. (Eds). Statistical Process Monitoring and Optimization (2000), Dekker, New York 387-394
17. Lewis S.L., Montgomery D.C., and Myers R.H. Examples of designed experiments with nonnormal responses. J. Qual. Technol. 33 (2001) 265-278
18. Moser V.C., Casey M., Hamm A., Carter Jr. W.H., Simmons J.E., and Gennings C. Neurotoxicological and statistical analyses of a mixture of five organophosphorus pesticides using a ray design. Toxicol Sci. 86 (2005) 101-115
19. Myers R.H., Montgomery D.C., and Vining G.G. Generalized Linear Models (2002), Wiley, New York
20. Nelson K., Walsh T., and Deeter P. A phase II study of delta-9 tetrahydrocannabinol for appetite stimulation in cancer-associated anorexia. J. Palliative Care 10 (1994) 14-19
21. Paul S., and Khuri A.I. Modified ridge analysis under nonstandard conditions. Commun. Statist.-Theory Meth. 29 (2000) 2181-2200
22. Rao C.R. Linear Statistical Inference and its Application (1973), Wiley, New York
23. SAS Institute Inc., 2000-2004. SAS 9.1.3 Help and Documentation, Author, Cary, NC
24. Sawynok J. Topical and peripherally acting analgesics. Pharmacol. Rev. 55 (2003) 1-20
25. Solana R.P., Harris L.W., Carter W.H.J., Talbot B.G., Carchman R.A., and Gennings C. Evaluation of a two-drug combination pretreatment against organophosphorus exposure. Toxicol. Appl. Pharmacol. 102 (1990) 421-429
26. Thall P., and Russell K. A strategy for dose-finding and safety monitoring based on efficacy and adverse outcomes in phase I/II clinical trials. Biometrics 54 (1998) 251-264
27. Timpone J., Wright D., Li N., Egorin M., Enama M., Mayers J., and Galetto G. The safety and pharmacokinetics of single-agent and combination therapy with megestrol acetate and dronabinol for the treatment of HIV wasting syndrome. Aids Res. Hum. Retrov. 13 (1997) 305-315
28. Vining G.G., Schaub D.A., and Modigh. Experimental strategies for estimating mean and variance function. In: Park S.H., and Vining G.G. (Eds). Statistical Process Monitoring and Optimization (2000), Dekker, New York 291-304
29. Wald A. Tests of statistical hypotheses concerning several parameters when the number of observations is large. Trans. Amer. Math. Soc. 54 (1943) 426-482
30. Zohar S., and O'Quigley J. Optimal designs for estimating the most successful dose. Statist. Med. 25 (2006) 4311-4320