Finding active factors from unreplicated fractional factorials utilizing the total time on test (TTT) technique

Quality and Reliability Engineering International

Volumn 15, Issue 3, 1999, Pages 191-203

  Wiklund, Pia Sandvik ^a   Bergman, B O ^b  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

^b LINKÖPING UNIVERSITY   (Sweden)

Author keywords

Active factors; Identification; Laplace test; Total time on test; Unreplicated fractional factorials

Indexed keywords

EID: 0347129699     PISSN: 07488017     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1099-1638(199905/06)15:3<191::aid-qre243>3.0.co;2-v     Document Type: Article

References (30)

1. S. Blake, R. G. Launsby and D. L. Weese, 'Experimental design meets the realities of the 1990s', Qual. Prog., (October), 99-101 (1994).
2. R. Koselka, 'The new mantra: MVT', Forbes, (11), 114-118 (1996).
3. C. Daniel, 'Use of half-normal plot in interpreting factorial two-level experiments', Technometrics, 1(4), 311-341 (1959).
4. C. Daniel, Applications of Statistics to Industrial Experimentation, Wiley, New York, 1976.
5. G. E. P. Box and R. D. Meyer, 'An analysis for unreplicated fractional factorials', Technometrics, 28(1), 11-18 (1986).
6. D. T. Voss, 'Generalized modulus-ratio tests for analysis of factorial designs with zero degrees of freedom for error', Commun. Statist. - Theory Meth., 17, 3345-3359 (1988).
7. H. C. Benski, 'Use of a normality test to identify significant effects in factorial designs', J. Qual. Technol., 21(3), 174-178 (1989).
8. R. V. Lenth, 'Quick and easy analysis of unreplicated factorials', Technometrics, 31(4), 469-473 (1989).
9. K. N. Berk and R. R. Picard, 'Significance tests for saturated orthogonal arrays', J. Qual. Technol., 23, 79-89 (1991).
10. k factorial design without replicates', J. Statist. Comput. Simul., 41, 41-54 (1992).
11. F. Dong, 'On the identification of active contrasts in unreplicated fractional factorials', Statist. Sinica, 3, 209-217 (1993).
12. H. Schneider, W. J. Kasperski and L. Weissfeld, 'Finding significant effects for unreplicated fractional factorials using the n smallest contrasts', J. Qual. Technol., 25(1), 18-27 (1993).
13. J. H. Venter and S. J. Steel, 'A hypothesis-testing approach toward identifying active contrasts', Technometrics, 38(2), 161-169 (1996).
14. R. E. Barlow and R. Campo, 'Reliability and fault tree analysis', in R. E. Barlow, J. Fussell and N. D. Singpurwalla (eds), Total Time on Test Processes and Applications to Failure Data Analysis, SIAM, Philadelphia, PA, 1975, pp. 451-491.
15. B. Bergman and B. Klefsjö, The total time on test concept and its use in reliability theory', Oper. Res., 32(3), 596-606 (1984).
16. B. Bergman and B. Klefsjö, 'Total time on test transform', Kotz-Johnson Encyclopedia of Statistical Sciences, Vol. 9, Wiley, New York, 1988, pp. 297-300.
17. R. E. Barlow, D. J. Bartholomew and J. M. Bremner, Statistical Inference under Order Restrictions, Wiley, New York, 1972.
18. R. E. Barlow, 'Geometry of the total time on test transform', Naval Res. Logist. Q., 26, 393-402 (1979).
19. B. Bergman, F. Ekdahl and P. Sandvik Wiklund, 'A comparison of selection procedures for finding active contrasts in unreplicated fractional factorials', Proc. 2nd World Conf. of IASC, Pasadena, CA, 1997, pp. 573-582.
20. T. Klemets and T. Lithner, Industrial Design of Experiments -13 Case Studies from Swedish Industry, Studentlitteratur, Lund, 1994 (in Swedish).
21. D. S. Moore, 'An elementary proof of asymptotic normality of linear functions of order statistics', Ann. Math. Statist., 39, 263-265 (1968).
22. A. Birnbaum, 'On the analysis of factorial experiments without replication', Technometrics, 1(4), 343-357 (1959).
23. D. A. Zahn, 'An empirical study of the half-normal plot', Technometrics, 17(2), 201-211 (1975).
24. P. D. Haaland and M. A. O'Connell, 'Inference for effect-saturated fractional factorials', Technometrics, 37(1), 82-93 (1995).
25. G. Taguchi and Y. Wu, Introduction to Off-line Quality Control, Central Japan Quality Control Association, Nagoya, 1980.
26. G. E. P. Box, W. G. Hunter and J. S. Hunter, Statistics for Experimenters, Wiley, New York, 1978.
27. O. L. Davies, The Design and Analysis of Industrial Experiments, Oliver and Boyd, London, 1994.
28. C. Hellstrand, The necessity of modern quality improvement and some experiences with its implementation in the manufacture of rolling bearings', Philos. Trans. R. Soc., 327, 529-537 (1989).
29. B. Bergman, 'On reliability theory and its applications', Scand. J. Statist., 12(1). 1-41 (1985).
30. R. E. Barlow and K. Doksum, 'Isotonic tests for convex orderings', Proc. 6th Berkeley Symp. on Mathematical Statistics and Probability, Berkeley, CA, 1972. pp. 293-323.