Testing in industrial experiments with ordered categorical data

Technometrics

Volumn 28, Issue 4, 1986, Pages 283-291

  Nair, Vijayan N ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

Accumulation analysis; ANOVA; Dispersion; Location; Ordered Categories; Scoring methods

Indexed keywords

QUALITY CONTROL; SEMICONDUCTOR DEVICE MANUFACTURE;

ACCUMULATION ANALYSIS; ORDERED CATEGORIES; SCORING METHODS;

PRODUCTION CONTROL;

EID: 0022808036     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1986.10488143     Document Type: Article

References (23)

1. Agresti, A. (1984), The Analysis of Ordinal Categorical Data, New York; John Wiley.
2. Barton, D. E. (1955), “A Form of Neyman's ψ2kTest of Goodness of Fit Applied to Grouped and Discrete Data," Scandinavian Actuarial Journal, 38, 1-16.
3. Box, G. E. P. (1984), "Recent Research in Experimental Design for Quality Improvement With Applications to Logistics," University of Wisconsin-Madison, Mathematics Research Center.
4. Bross, I. D. J. (1958), “How to Use Ridit Analysis,” Biometrics, 14, 18-38.
5. Cochran, W. G. (1950), “The Comparison of Percentages in Matched Samples,” Biometrika, 37, 256-266.
6. Hajek, J., and Sidak, Z. (1967), Theory of Rank Tests, New York: Academic Press.
7. Hartley, H. O, and Jayatillake, K. S. E. (1973), “Estimation for Linear Models With Unequal Variances,” Journal of the American Statistical Association, 68,189-192.
8. Kackar, R. N. (1985), “Off-line Quality Control, Parameter Design, and the Taguchi Method” (with discussion), Journal of Quality Technology, 17,175-246.
9. Klotz, J. (1962), "Nonparametric Tests for Scale,” Annals of Mathematical Statistics, 33, 498-512.
10. Lehmann, E. L. (1975), Nonparametrics: Statistical Methods Based on Ranks, San Francisco: Holden-Day.
11. Leon, R. V., Shoemaker, A. C., and Kackar, R. N. (1985), “Performance Measures Independent of Adjustment: An Alternative to Taguchi’s Signal to Noise Ratio,” technical memorandum, Holmdel, NJ: AT&T Bell Laboratories.
12. Light, R. J., and Margolin, B. H. (1971), “Analysis of Variance for Categorical Data,” Journal of the American Statistical Association, 66, 534-544.
13. McCullagh, P. (1980), “Regression Models for Ordinal Data” (with discussion), Journal of the Royal Statistical Society, Ser. B, 109-142.
14. Mood, A. M. (1954), “On the Asymptotic Efficiency of Certain Nonparametric Two-sample Tests," Annals of Mathematical Statistics, 25, 514-522.
15. Nair, V. N. (1986), “Components of Cumulative Chi-square Type Tests for Ordered Alternatives in Contingency Tables,” Statistical Research Report 18, Murray Hill, NJ: AT&T Bell Laboratories.
16. Phadke, M. S., Kackar, R. N., Speeney, D. V., and Grieco, M. J. (1983), “Off-line Quality Control in Integrated Circuit Fabrication Using Experimental Design,” The Bell System Technical Journal, 62,1273-1310.
17. Pitman, E. J. G. (1937), “Significance Tests Which May Be Applied to Samples From Any Population,” Journal of the Royal Statistical Society (supplement), 4,119-130.
18. Sukhatme, B. V. (1958), “Testing the Hypothesis That Two Populations Differ Only in Location,” Annals of Mathematical Statistics, 29,60-78.
19. Taguchi, G. (1966), Statistical Analysis (in Japanese), Tokyo: Maru- zen.
20. Taguchi, G. (1974), “A New Statistical Analysis for Clinical Data, the Accumulating Analysis, in Contrast With the Chi-square Test,” Saishin lgaku (The Newest Medicine), 29,806-813.
21. Taguchi, G. (1976, 1977), Experimental Design (Vols. 1 and 2, in Japanese), Tokyo: Maruzen.
22. Taguchi, G., and Wu, Y. (1980), Introduction to Off-line Quality Control, Nagoya, Japan: Central Japan Quality Control Association.
23. Takeuchi, K., and Hirotsu, C. (1982), “The Cumulative Chi-squares Method Against Ordered Alternatives in Two-way Contingency Tables,” Reports of Statistical Application Research, Japanese Union of Scientists and Engineers, 29,1-13.