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Analysis of simulation with common random numbers: a note on Heikes et al. (1976)
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Source ACM SIGSIM Simulation Digest archive
Volume 11 ,  Issue 2  (Winter 1979-1980) table of contents
Pages: 7 - 10  
Year of Publication: 1979
ISSN:0163-6103
Author
Jack P. C. Kleijnen  Katholieke Hogeschool Tilburg, Tilburg, Netherlands
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 2,   Downloads (12 Months): 17,   Citation Count: 2
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ABSTRACT

If different random number streams are used then traditional Analysis of Variance can be applied. However, the standard errors of the estimated effects should account for heterogeneity of variance. If common random numbers are used then the quite complicated procedure proposed by Heikes et al. in 1976, may be replaced by the simple Student t-statistic combined with the so-called Bonferroni - inequality. The statistical techniques are illustrated with a simple case study.


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.

 
1
Graybill, F. A., Introduction to Linear Statistical Models. McGraw-Hill, New York, Vol. 1 1961.
 
2
Heikes, R. G., D. C. Montgomery and R. L. Rardin, Using common random numbers in simulation experiments - an approach to statistical analysis. Simulation, 27, no. 3, Sept. 1976, pp. 81--85.
 
3
Kleijnen, J. P. C., Comparing means and variances of two simulations. Simulation, 26, no. 3, March 1976, pp. 87--88.
 
4
Kleijnen, J. P. C., Regression Analysis for Simulation Practitioners. FEW 85, Dept. of Business and Economics, Katholieke Hogeschool, Tilburg (Neth.), 1979.
 
5
Miller, R. G., Simultaneous Statistical Inference. McGraw-Hill, New York, 1966.

Collaborative Colleagues:
Jack P. C. Kleijnen: colleagues