Multivariate quality control using finite intersection tests

Journal of Quality Technology

Volumn 28, Issue 2, 1996, Pages 233-243

  Timm, Neil H ^a,b  

^a UNIVERSITY OF PITTSBURGH   (United States)

^b School of Education

Author keywords

Hotelling's T2; Multivariate Control Charts; T2 Control Charts

Indexed keywords

GRAPH THEORY; OPTIMIZATION; QUALITY ASSURANCE; STATISTICAL PROCESS CONTROL; STATISTICS;

FINITE INTERSECTION TEST; MULTIVARIABLE QUALITY CONTROL;

QUALITY CONTROL;

EID: 0030128050     PISSN: 00224065     EISSN: None     Source Type: Journal    
DOI: 10.1080/00224065.1996.11979663     Document Type: Article

References (28)

1. ALT, F. B. (1985). "Multivariate Quality Control" in Encyclopedia of Statistical Sciences 6 edited by Kotz & Johnson. John Wiley & Sons, New York, NY.
2. ANDERSON, T. W. (1984). An Introduction to Multivariate Statistical Analysis, 2nd ed. John Wiley & Sons, New York, NY.
3. Cox, C. M.; FANG, C.; BOUDREAU, R. M.; and TIMM, N. H. (1994). "Computer Program for Krishnaiah's Finite Intersection Tests for Multiple Comparisons of Mean Vectors". Interim Report No. 94-04, Research Methodology Program, University of Pittsburgh, Pittsburgh, PA.
4. Cox, C. M.; KRISHNAIAH, P. R.; LEE, J. C.; REISING, J.; and SCHUURMANN, F. J. (1980). "A Study of Finite Intersection Tests for Multiple Comparisons of Means" in Multivariate Analysis, Vol. V edited by P. R. Krishnaiah. North-Holland, New York, NY, pp. 435-466.
5. HAWKINS, D. M. (1991). "Multivariate Quality Control Based on Regression-Adjusted Variables". Technometrics 33, pp. 61-75.
6. HAWKINS, D. M. (1993). "Regression Adjustment for Variables in Multivariate Quality Control". Journal of Quality Technology 25, pp. 170-182.
7. HAYTER, A. J. and Hsu, J. C. (1994). "On the Relation Between Stepwise Decision Procedures and Confidence Sets". Journal of the American Statistical Association 89, pp. 128-136.
8. HAYTER, A. J. and TSUI, K. L. (1994). "Identification and Quantification in Multivariate Quality Control Problems". Journal of Quality Technology 26, pp. 197-208.
9. HEALY, J. D. (1987). "A Note on Multivariate CUSUM Procedures". Technometrics 29, pp. 409-412.
10. HOCHBERG, Y. and TAMHANE, A. C. (1987). Multiple Comparison Procedures. John Wiley & Sons, New York, NY.
11. JACKSON, J. E. (1980). "Principal Components and Factor Analysis: Part I - Principal Components". Journal of Quality Technology 12, pp. 201-213.
12. JACKSON, J. E., and BRADLEY, R. A. (1966). "Sequential Multivariate Procedures for Means" in Multivariate Analysis edited by P. R. Krishnaiah. Academic Press, New York, NY.
13. JACKSON, J. E. and MORRIS, R. H. (1957). "An Application of Multivariate Quality Control to Photographic Processing". Journal of the American Statistical Association 52, pp. 186-199.
14. KRISHNAIAH, P. R. (1965). "On the Simultaneous ANOVA and MANOVA Tests". Annals of the Institute of Statistical Mathematics 17, pp. 35-53.
15. KRISHNAIAH, P. R. (1979). "Some Developments on Simultaneous Test Procedures" in Developments in Statistics, 2 edited by P. R. Krishnaiah. North-Holland, New York, NY.
16. KRISHNAIAH, P. R. and ARMITAGE, J. V. (1965). "Tables for the Distribution of the Maximum of Correlated Chi-Square Variates with One Degree of Freedom". Trabajos de Estadistica 16, pp. 91-96.
17. KRISHNAIAH, P. R. and RAO, M. M. (1961). "Remarks on a Multivariate Gamma Distribution". American Mathematics Monthly 68, pp. 342-346.
18. 2 for Multivariate Control Chart Interpretation". Journal of Quality Technology 27, pp. 99-108.
19. MUDHOLKAR, G. S. and SUBBAIAH, P. (1980a). "MANOVA Multiple Comparisons Associated with Finite Intersection Tests" in Multivariate Analysis, Vol. V edited by P. R. Krishnaiah. North-Holland, New York, NY.
20. MUDHOLKAR, G. S. and SUBBAIAH, P. (1980b). "A Review of Step-Down Procedures for Multivariate Analysis of Variance" in Multivariate Statistical Analysis, Vol. 6 edited by R. P. Gupta. North-Holland, New York, NY.
21. NELSON, P. R. (1993). "Additional Uses for the Analysis of Means and Extended Tables of Critical Values". Technometrics 35, pp. 61-71.
22. ROY, J. (1958). "Step-Down Procedures in Multivariate Analysis". The Annals of Mathematical Statistics 29, pp. 1177-1187.
23. SCHEFFÉ, H. (1947). "A Note on a Reformulation of the S-Method of Multiple Comparisons". Journal of the American Statistical Association 72, pp. 143-146.
24. SCHUURMANN, F. J.; KRISHNAIAH, P. R.; and CHATTOPADHYAY, A. K. (1975). "Tables for a Multivariate F Distribution". Sankhya B 37, pp. 308-331.
25. TROENDLE, J. F. (1993). "A Stepwise Resampling Method of Multiple Hypothesis Testing". Journal of the American Statistical Association 90, pp. 370-379.
26. WADE, M. R. and WOODALL, W. H. (1993). "A Review and Analysis of Cause-Selected Control Charts". Journal of Quality Technology 25, pp. 161-169.
27. WIERDA, S. J. (1994a). "Multivariate Statistical Process Control - Recent Results and Directions for Future Research". Statistica Neerlandica 48, pp. 147-168.
28. WIERDA, S. J. (1994b). "Multivariate Step-Down Control Charts for the Mean". Paper presented at the 38th Annual Fall Technical Conference of the American Society for Quality Control, October 20-21.