Exact unconditional tests for a 2 × 2 matched-pairs design

Statistical Methods in Medical Research

Volumn 12, Issue 2, 2003, Pages 91-108

  Berger, Roger L ^a   Sidik, K ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b PFIZER INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; BINOMIAL DISTRIBUTION; CALCULATION; COMPARATIVE STUDY; CONFIDENCE INTERVAL; CONTROLLED STUDY; DATA ANALYSIS; EXPERIMENTAL DESIGN; HYPOTHESIS; MATHEMATICAL COMPUTING; MCNEMAR TEST; REFERENCE VALUE; SAMPLE SIZE; STATISTICAL ANALYSIS; STATISTICAL CONCEPTS; STATISTICAL DISTRIBUTION; STATISTICAL PARAMETERS;

BINOMIAL DISTRIBUTION; BIOMEDICAL RESEARCH; BIOMETRY; CASE-CONTROL STUDIES; CONFIDENCE INTERVALS; DATA INTERPRETATION, STATISTICAL; MATCHED-PAIR ANALYSIS; RESEARCH DESIGN; UNITED STATES;

EID: 0037343359     PISSN: 09622802     EISSN: None     Source Type: Journal    
DOI: 10.1191/0962280203sm312ra     Document Type: Article

References (16)

1. McNemar Q. Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika 1947; 12: 153-57.
2. Cochran WG. The comparisons of percentages in matched samples. Biometrika 1950; 38: 256-66.
3. Suissa S, Shuster JJ. The 2 × 2 matched-pairs trials: Exact unconditional design and analysis. Biometrics 1991; 47: 361-72.
4. Bickel PJ, Doksum KA. Mathematical Statistics: Basic Ideas and Selected Topics. San Francisco: Holden-Day, 1977.
5. Berger RL, Boos DD. P values maximized over a confidence set for the nuisance parameter. Journal of the American Statistical Association 1994; 89: 1012-16.
6. Hsueh HM, Liu JP, Chen JJ. Unconditional exact tests for equivalence or noninferiority for paired binary endpoints. Biometrics 2001; 57: 478-83.
7. Barnard GA. Significance tests for 2 × 2 tables. Biometrika 1947; 34: 123-38.
8. Sidik K, Berger RL. Theoretical consideration of exact unconditional tests for one-sided comparisons of two parameters in discrete data. Technical Report. Raleigh, NC: North Carolina State University, Statistics Department, 1997.
9. Shaked M, Shanthikumar JG. Stochastic Orders and their Applications. San Diego, CA: Academic Press, 1994.
10. Casella G, Berger RL. Statistical Inference, Second Edition. Pacific Grove, CA: Duxbury, 2002.
11. Storer BE, Kim C. Exact properties of some exact test statistics for comparing two binomial proportions. Journal of the American Statistical Association 1990; 85: 146-55.
12. Kang SH, Chen JJ. An approximate unconditional test of non-inferiority between two proportions. Statistics in Medicine 2000; 19: 2089-2100.
13. Sidik K. Exact unconditional tests for discrete data. Unpublished Ph.D. dissertation. Raleigh (NC): North Carolina State University, 1997.
14. Robertson T, Wright FT, Dykstra RL. Order Restricted Statistical Inference. New York: John Wiley, 1988: 38-39.
15. Clopper CJ, Pearson ES. The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 1934; 26: 404-13.
16. Berger RL. More powerful tests from confidence interval p values. The American Statistician 1996; 50: 314-18.