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Simplifying the calculation of the Pvalue for Barnard's test and its derivatives
 A. Silva Mato,
 A. Martín Andrés
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Unconditional nonasymptotic methods for comparing two independent binomial proportions have the drawback that they take a rather long time to compute. This problem is especially acute in the most powerful version of the method (Barnard, 1947). Thus, despite being the version which originated the method, it has hardly ever been used. This paper presents various properties which allow the computation time to be drastically reduced, thus enabling one to use not only the more traditional and simple versions given by McDonald et al. (1977) and Garside and Mack (1967), but also the more complex original version of Barnard (1947).
 Barnard, G. A. (1947) Significance tests for 2 x 2 tables. Biometrika 34: pp. 12338
 Berger, R. L. (1996) More powerful tests from confidence interval p values. The American Statistician 50: pp. 3148
 Fisher, R. A. (1935) The logic of inductive inference. Journal of the Royal Statistical Society A 98: pp. 3954
 Garside, G. R., Mack, C. (1967) Correct confidence limits for the 2 x 2 homogeneity contingency table with small frequencies. New Journal of Statistics and Operations Research 3: pp. 125
 Haber, M. (1986) An exact unconditional test for the 2 x 2 comparative trial. Psychometrics Bull 99: pp. 12932
 Haber, M. (1987) A comparison of some conditional and unconditional exact tests for 2 x 2 contingency tables. Communications in StatisticsSimulation and Computing 16: pp. 9991013
 Liddell, D. (1976) Practical test of 2 x 2 tables. Statistician 25: pp. 295304
 Martí n André s, A. (1991) A review of classic nonasymptotic methods for comparing two proportions by means of independent samples. Communications in StatisticsSimulation and Computation 20: pp. 55183
 Martí n André s, A., Silva Mato, A. (1994) Choosing the optimal unconditioned test for comparing two independent proportions. Computational Statistics and Data Analysis 17: pp. 55574
 McDonald, L. L., Davis, B. M., Milliken, G. A. (1977) A nonrandomized unconditional test for comparing two proportions in a 2 x 2 contingency table. Technometrics 19: pp. 14550
 McDonald, L. L., Davis, B. M., Bauer, H. R. (1981) Algorithm AS161: Critical Regions of an unconditional nonrandomized test of homogeneity in 2 x 2 contingency tables. Applied Statistics 30: pp. 1829
 Richardson, J. T. E. (1994) The analysis of 2 x 1 and 2 x 2 contingency tables: an historical review. Statistical Methods in Medical Research 3: pp. 10733
 Sahai, H., Khurshid, A. (1995) On analysis of epidemiological data involving a 2 x 2 contingency table: an overview of Fisher's exact test and Yates' correction for continuity. Journal of Biopharmaceutical Statistics 5: pp. 4370
 Schawe, D. (1977) Error probabilities for 2 x 2 contingency table. American Statistician 31: pp. 134
 Shuster, J. J. (1988) EXACTB and CONF: Exact unconditional procedures for binomial data. The American Statistician 42: pp. 234
 Silva Mato, A., Martí n André s, A. (1995) Optimal unconditional tables for comparing two independent proportions. Biometrical Journal 37: pp. 82136
 Title
 Simplifying the calculation of the Pvalue for Barnard's test and its derivatives
 Journal

Statistics and Computing
Volume 7, Issue 2 , pp 137143
 Cover Date
 19970601
 DOI
 10.1023/A:1018573716156
 Print ISSN
 09603174
 Online ISSN
 15731375
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Barnard's test
 comparison of two proportions
 unconditional test × tables
 Industry Sectors
 Authors

 A. Silva Mato ^{(1)}
 A. Martín Andrés ^{(2)}
 Author Affiliations

 1. Bioestadi´stica, Facultad de Medicina, Universidad de Alcala´ de Henares, 28871, Madrid, Spain
 2. Bioestadi´stica, Facultad de Medicina, Universidad de Granada, 18071, Granada, Spain