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ABSTRACT
One goal in simulation experimentation is to identify which input parameters most significantly influence the mean of simulation output. Another goal is to obtain good parameter estimates for a response model that quantifies how the mean output depends on influential input parameters. The majority of experimental design techniques focus on either one goal or the other. This paper uses a design criterion for follow-up experiments that jointly identifies the important parameters and reduces the variance of parameter estimates. The criterion is entropy-based, and is applied to a critical care facility simulation.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
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2
|
|
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3
|
Bernardo, J. 1979. Expected information as expected utility. Annals of Statistics 7:686--690.
|
| |
4
|
Bernardo, J. M., and A. F. M. Smith. 1994. Bayesian theory. Chichester, UK: Wiley.
|
| |
5
|
Borth, D. 1975. A total entropy criterion for the dual problem of model discrimination and parameter estimation. Journal of the Royal Statistical Society, Series B 37 (1): 77--87.
|
| |
6
|
Box, G., and W. Hill. 1967. Discrimination among mechanistic models. Technometrics 9 (1): 57--71.
|
| |
7
|
Cheng, R. C. H., and W. Holland. 1997. Sensitivity of computer simulation experiments to errors in input data. Journal on Statistical Compututing and Simulation 57:219--241.
|
| |
8
|
DeGroot, M. 1962. Uncertainty, information and sequential experiments. Annals of Statistics 33:404--419.
|
| |
9
|
Hill, P. 1978. A review of experimental design procedures for regression model discrimination. Technometrics 20 (1): 15--21.
|
| |
10
|
Hill, W., and W. Hunter. 1969. A note on designs for model discrimination: Variance unknown case. Technometrics 11 (1): 396--400.
|
| |
11
|
Hill, W., W. Hunter, and D. Wichern. 1968. A joint design criterion for the dual problem of model discrimination and parameter estimation. Technometrics 10 (1): 145--160.
|
| |
12
|
|
| |
13
|
Johnson, M., and C. Nachtsheim. 1983. Some guidelines for constructing exact d-optimal designs on convex design spaces. Technometrics 25 (3): 271--277.
|
| |
14
|
Kleijnen, J. 1996. Experimental design for sensitivity analysis, optimization, and validation of simulation models. In Handbook of Simulation, ed. J. Banks. New York: John Wiley & Sons, Inc.
|
| |
15
|
|
| |
16
|
Lindley, D. V. 1956. On a measure of the information provided by an experiment. Annals of Mathematical Statistics 27:986--1005.
|
| |
17
|
Madigan, D., and J. York. 1995. Bayesian graphical models for discrete data. International Statistical Review 63 (2): 215--232.
|
| |
18
|
|
| |
19
|
|
| |
20
|
Ng, S. H. 2001. Sensitivity and uncertainty analysis of complex simulation models. Ph. D. thesis, The University of Michigan, Ann Arbor, MI. Dept. of Industrial and Operations Engineering.
|
| |
21
|
|
| |
22
|
Ng, S.-H., and S. E. Chick. 2002. A Bayesian follow up design criterion for the dual objective of model discrimination and parameter estimation. Technical report, INSEAD.
|
| |
23
|
Raftery, A. E., D. Madigan, and J. A. Hoeting. 1997. Bayesian model averaging for linear regression models. Journal of the American Statistical Association 92 (437): 179--191.
|
| |
24
|
|
| |
25
|
Schruben, L. W., and B. H. Margolin. 1978. Pseudorandom number assignment in statistically designed simulation and distribution sampling experiments. Journal of the American Statistical Association 73 (363): 504--525.
|
| |
26
|
|
| |
27
|
Smith, A. F. M., and I. Verdinelli. 1980. A note on Bayesian design for inference using hierarchical linear model. Biometrika 67 (3): 613--619.
|
|