Dealing with the least squares regression assumptions in simulation metamodeling

Computers and Industrial Engineering

Volumn 38, Issue 2, 2000, Pages 307-320

  Tunali, S ^a   Batmaz, I ^b  

^a DOKUZ EYLUL UNIVERSITY   (Turkey)

^b EGE UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; PARAMETER ESTIMATION; REGRESSION ANALYSIS; VECTORS;

CENTRAL COMPOSITE DESIGN; METAMODELING; RESIDUAL ANALYSIS; TWO LEVEL FACTORIAL DESIGN;

TIME SHARING SYSTEMS;

EID: 0034228636     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0360-8352(00)00046-2     Document Type: Article

References (28)

1. Anscombe F.J., Tukey J.W. An examination of residuals. Technometrics. 5:(2):1963;141-160.
2. Batmaz, I. (1993). A research on intelligent software development for design and analysis of factorial experiments. Doctoral Dissertation, The Department of Computer Sciences, Ege University, Izmir, Turkey.
3. Box G.E.P., Cox D.R. An analysis of transformations. Journal of the Royal Statistical Society B. 26:1964;211-243.
4. Box G.E.P., Draper N.R. Empirical model-building and response surfaces. 1987;Wiley, New York.
5. Box G.E.P., Tidwell P.W. Transformations of the independent variables. Technometrics. 4:1962;531-550.
6. Cook R.D., Weisberg S. Residuals and influence in regression. 1982;Chapman and Hall, New York.
7. Donohue J.M., Houck E.C., Myers R.M. Sequential experimental designs for simulation metamodeling. Proceedings of the Winter Simulation Conference. 1992;539-547.
8. Durbin J., Watson G.S. Testing for serial correlation in least squares regression. Biometrika. 38:1951;159-178.
9. Friedman L.W. The simulation metamodel. 1996;Kluwer Academic, Norwell, MA.
10. Hall I.J. Some comparisons of tests for equality of variances. Journal of Statistical and Computational Simulation. 1:1972;183-194.
11. Hood S.J., Welch P.D. Experimental design issues in simulation with examples from semiconductor manufacturing. Proceedings of the Winter Simulation Conference. 1992;255-262.
12. Kleijnen J.P.C., Standridge C.H. Experimental design and regression analysis in simulation: an FMS case study. European Journal of Operational Research. 33:1988;257-261.
13. Kleijnen J.P.C. Simulation and optimization in production planning. Decision Support Systems. 9:1993;269-280.
14. Kuei C.H., Madu C.N. Polynomial metamodeling and Taguchi designs in simulation with application to the maintenance float system. European Journal of Operational Research. 72:1994;364-375.
15. Lavenberg S.S., Welch P.D. Using conditional expectation to reduce variance in discrete event simulation. Proceedings of the Winter Simulation Conference. 1979;291-294.
16. Madu C.N. Simulation in manufacturing: a regression metamodel approach. Computers and Industrial Engineering. 18:(3):1990;381-389.
17. Myers R.H. Classical and modern regression with applications. 1990;PWS-Kent, Boston.
18. Myers R.M., Montgomery D.C. Response surface methodology, process and product optimization using designed experiments. 1995;Wiley, New York.
19. Neter J., Wasserman W., Kutner W. Applied linear statistical models. 1990;Irwin (Richard D), Boston.
20. Rawlings O.J. Applied regression analysis: a research tool. 1988;Wadsworth, Belmont, CA.
21. Royston J.P. An extension of Shapiro and Wilk's W test for normality to large samples. Applied Statistics. 31:(2):1982;115-124.
22. Shapiro S.S., Francia R.S. An approximate analysis of variance test for normality. Journal of American Statistical Association. 67:(337):1972;215-216.
23. Shapiro S.S., Wilk M.B. An analysis of variance test for normality. Biometrika. 52:1965;591-611.
24. Shapiro S.S., Wilk M.B., Chen H.J. A comparative study of various tests for normality. Journal of American Statistical Association. 63:1968;1343-1372.
25. Tew J.D. Using central composite designs in simulation experiments. Proceedings of the Winter Simulation Conference. 1992;529-538.
26. Tunali S. Evaluation of alternate routing policies in scheduling a job-shop type FMS. International Journal of Computers and Industrial Engineering. 32:(2):1997a;243-250.
27. Tunali S. A simulation study evaluating the performance of a look-ahead FMS machine scheduling algorithm. International Journal of Microcomputer Applications. 16:(3):1997b;109-114.
28. Weisberg S., Bingham C. An approximate analysis of variance test for non-normality suitable for machine calculation. Technometrics. 17:(1):1975;133-134.