Unconditional tests for comparing two ordered multinomials

Statistical Methods in Medical Research

Volumn 25, Issue 1, 2016, Pages 241-254

  Shan, Guogen ^a   Ma, Changxing ^b  

^a UNIVERSITY OF NEVADA   (United States)

^b UNIVERSITY AT BUFFALO   (United States)

Author keywords

E + M p value; Exact tests; nuisance parameters; two ordered multinomials; unconditional test

Indexed keywords

ARTHRALGIA; ARTICLE; CLINICAL TRIAL (TOPIC); ERROR; HUMAN; INTERMETHOD COMPARISON; PROBABILITY; RANK SUM TEST; RHEUMATOID ARTHRITIS; STATISTICAL ANALYSIS; STATISTICAL CONCEPTS; STATISTICAL MODEL; TWO ORDERED MULTINOMIAL; UNCONDITIONAL TEST; ARTHRITIS, RHEUMATOID; BIOSTATISTICS; COMPARATIVE STUDY; COMPUTER SIMULATION; NEOPLASMS; NONPARAMETRIC TEST; PHASE 2 CLINICAL TRIAL (TOPIC); STATISTICS AND NUMERICAL DATA;

ARTHRITIS, RHEUMATOID; BIOSTATISTICS; CLINICAL TRIALS AS TOPIC; CLINICAL TRIALS, PHASE II AS TOPIC; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; HUMANS; LOGISTIC MODELS; MODELS, STATISTICAL; NEOPLASMS; STATISTICS, NONPARAMETRIC;

EID: 84958690020     PISSN: 09622802     EISSN: 14770334     Source Type: Journal    
DOI: 10.1177/0962280212450957     Document Type: Article

References (29)

1. Eisenhauer EA, Therasse P, Bogaerts J, et al. New response evaluation criteria in solid tumours: revised RECIST guideline (version 1.1). Eur J Cancer 2009; 45: 228-247.
2. Koch G, Edwards S, Clinical efficiency trials with categorical data. In: Peace KE, (eds). Biopharmaceutical statistics for drug development, New York: Marcel Dekker, 1988, pp. 403-451.
3. McCullagh P,. Regression models for ordinal data. J R Stat Soc Ser B 1980; 42: 109-142.
4. Scott SC, Goldberg MS, May NE,. Statistical assessment of ordinal outcomes in comparative studies. J Clin Epidemio 1997; 50: 45-55.
5. Lehmann EL,. Nonparametrics statistical methods based on ranks, San Francisco, CA: Holden-Day Inc., 1975.
6. Rabbee N, Coull BA, Mehta C, et al. Power and sample size for ordered categorical data. Stat Methods Med Res 2003; 12: 73-84.
7. Whitehead J,. Sample size calculations for ordered categorical data. Stat Med 1993; 12: 2257-2271.
8. Mehta CR, Patel NR, Tsiatis AA,. Exact significance testing to establish treatment equivalence with ordered categorical data. Biometrics 1984; 40: 819-825.
9. Tang ML, Poon WY, Ling L, et al. Approximate unconditional test procedure for comparing two ordered multinomials. Comput Stat Data Anal 2011; 55: 955-963.
10. Hilton JF, Mehta CR,. Power and sample size calculations for exact conditional tests with ordered categorical data. Biometrics 1993; 49: 609-616.
11. Brown LD, Cai TT, DasGupta A,. Interval estimation for a binomial proportion. Stat Sci 2001; 16: 101-117.
12. Storer BE, Kim C,. Exact properties of some exact test statistics for comparing two binomial proportions. J Am Stat Assoc 1990; 85: 146-155.
13. Casella G, Berger RL,. Statistical inference, Belmont, CA: Duxbury Press, 2001.
14. Basu D,. On the elimination of nuisance parameters. J Am Stat Assoc 1977; 72: 355-366.
15. Lloyd CJ,. Exact p -values for discrete models obtained by estimation and maximization. Aust NZ J Stat 2008; 50: 329-345.
16. Lloyd CJ,. A new exact and more powerful unconditional test of no treatment effect from binary matched pairs. Biometrics 2008; 64: 716-723.
17. Lloyd CJ, Moldovan MV,. A more powerful exact test of noninferiority from binary matched-pairs data. Stat Med 2008; 27: 3540-3549.
18. Lloyd CJ, Moldovan MV,. Constructing more powerful exact tests of equivalence from binary matched pairs. Aust NZ J Stat 2011; 53: 27-42.
19. Shan G and Ma C. Exact methods for testing the equality of proportions for binary clustered data from otolaryngologic studies. Technical report, Epidemiology and Biostatistics Program, University of Nevada Las Vegas, Las Vegas, NV, 2012.
20. Shan G, Ma C, Hutson A, Wilding G,. An efficient and exact approach for detecting trends with binary endpoints. Stat Med 2012; 31: 155-164.
21. Shan G, Ma C, Hutson A, Wilding G,. Some tests for detecting trends based on the modified Baumgartner-Weiß-Schindler statistics. Comput Stat Data Anal 2012. (In press.
22. Shan G and Wilding G. Powerful unconditional tests for association in 2 × 2 contingency tables. Technical report, Epidemiology and Biostatistics Program, University of Nevada Las Vegas, Las Vegas, NV, 2012.
23. Fisher RA,. Statistical methods for research workers, London: Oliver and Boyd, 1970.
24. Barnard GA,. Significance tests for 2 × 2 tables. Biometrika 1947; 34: 123-138.
25. Röhmel J, Mansmann U,. Unconditional non-asymptotic one-sided tests for independent binomial proportions when the interest lies in showing non-inferiority and/or superiority. Biometrical J 1999; 41: 149-170.
26. Lloyd CJ, Moldovan MV,. Exact one-sided confidence limits for the difference between two correlated proportions. Stat Med 2007; 26: 3369-3384.
27. Boschloo RD,. Raised conditional level of significance for the 2 × 2-table when testing the equality of two probabilities. Stat Neerl 1970; 24: 1-9.
28. Berger RL Power comparison of exact unconditional tests for comparing two binomial proportions. Technique Report, Department of Statistics, North Carolina State University, Raleigh, NC, 1994.
29. Weisberg HI,. Bayesian comparison of two ordered multinomial populations. Biometrics 1972; 28: 859-867.