Application of Goodman-Kruskal's Gamma for Ordinal Data in Comparing Several Ordered Treatments: A Different Approach

Biometrical Journal

Volumn 41, Issue 4, 1999, Pages 491-498

  Chen, Michael ^a   Kianifard, Farid ^b  

^a PFIZER INC   (United States)

^b NOVARTIS PHARMA AG   (Switzerland)

Author keywords

Clinical trial; Contingency table; Dose response

Indexed keywords

DRUG DOSAGE;

ASYMPTOTIC VARIANCE; CLINICAL TRIAL; CONTINGENCY TABLE; DELTA METHOD; DOSE RESPONSE; KRUSKAL; MULTINOMIALS; ORDINAL DATA; RANDOMIZED CLINICAL TRIALS; TWO WAYS;

NORMAL DISTRIBUTION;

EID: 0033416426     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1521-4036(199907)41:4<491::AID-BIMJ491>3.0.CO;2-6     Document Type: Article

References (16)

1. AGRESTI, A., 1984: Analysis of Ordinal Categorical Data. Wiley, New York.
2. AGRESTI, A., 1990: Categorical Data Analysis. Wiley, New York.
3. AGRESTI, A. and COULL, B. A., 1998: Order-Restricted Inference for Monotone Trend Alternatives in Contingency Tables. Computational Statistics and Data Analysis 28, 139-155.
4. CHUANG-STEIN, C. and AGRESTI, A., 1997: A Review of Tests for Detecting a Monotone Dose-Response Relationship with Ordinal Response Data. Statistics in Medicine 16, 2599-2618.
5. FREEMAN, L. C., 1986: Order-Based Statistics and Monotonicity: A Family of Ordinal Measures of Association. Journal of Mathematical Sociology 12, 49-69.
6. GONZALEZ, R. and NELSON, T. O., 1996: Measuring Ordinal Association in Situations That Contain Tied Scores. Psychological Bulletin 119, 159-165.
7. GOODMAN, L. A. and KRUSKAL, W. H., 1954: Measures of Association for Cross Classifications. Journal of the American Statistical Association 49, 732-764.
8. GOODMAN, L. A. and KRUSKAL, W. H., 1959: Measures of Association for Cross Classifications II: Further Discussion and References. Journal of the American Statistical Association 54, 123-163.
9. GOODMAN, L. A. and KRUSKAL, W. H., 1963: Measures of Association for Cross Classifications III: Approximate Sampling Theory. Journal of the American Statistical Association 58, 310-364.
10. GOODMAN, L. A. and KRUSKAL, W. H., 1972: Measures of Association for Cross Classifications IV: Simplification of Asymptotic Variances. Journal of the American Statistical Association 67, 415-421.
11. GOODMAN, L. A. and KRUSKAL, W. H., 1979: Measures of Association for Cross Classifications. Springer-Verlag, New York.
12. MÄNTYLÄ, R., ERKINJUNTTI, T., SALONEN, O., ARONEN, H. J., PELTONEN, T., POHJASVAARA, T., and STANDERTSKJÖLD-NORDENSTAM, C.-G., 1997: Variable Agreement Between Visual Rating Scales for White Matter Hyperintensities on MRI: Comparison of 13 Rating Scales in a Poststroke Cohort. Stroke 28, 1614-1623.
13. OKADOME, K., FUNAHASHI, S., ODASHIRO, T., KOMORI, K., AKAZAWA, K., and SUGIMACHI, K., 1994: Do Patients with Intermittent Claudication Need Surgical Treatment? International Angiology 13, 103-108.
14. POENARU, D. and CHRISTOU, N. V., 1991: Clinical Outcome of Seriously Ill Surgical Patients with Intra-Abdominal Infection Depends on Both Physiologic (APACHE II Score) and Immunologic (DTH Score) Alterations. Annals of Surgery 213, 130-136.
15. RAO, C. R., 1973: Linear Statistical Inference and Its Applications, 2nd edition. Wiley, New York.
16. SAS INSTITUTE, INC., 1991: SAS/STAT User's Guide. Volume 1, Version 6. SAS Institute, Inc., Cary, NC.