Comparing the asymptotic power of exact tests in 2 × 2 tables

Computational Statistics and Data Analysis

Volumn 47, Issue 4, 2004, Pages 745-756

  Andrés, A Martín ^a   Mato, A Silva ^b   García, J M Tapia ^a   Quevedo, M J Sánchez ^c  

^a UNIVERSITY OF GRANADA   (Spain)

^b UNIVERSITY OF ALCALÁ   (Spain)

^c UNIVERSITY OF CÁDIZ   (Spain)

Author keywords

2 2 tables; Barnard's exact test; Conditional test; Fisher's exact test; Power; Unconditional test

Indexed keywords

APPROXIMATION THEORY; DATA REDUCTION; EPIDEMIOLOGY; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

BARNARD'S EXACT TEST; CONDITIONAL TEST; FISHER'S EXACT TEST; UNCONDITIONAL TEST;

PROBABILITY;

EID: 8344220514     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2003.11.012     Document Type: Article

References (15)

1. Barnard G.A. Significance tests for. 2×2 tables Biometrika. 34:1947;123-138.
2. Boschloo R.D. Raised conditional level of significance for the. 2×2 Table when testing the equality of two probabilities Statist. Neerlandica. 24(1):1970;1-35.
3. Fisher R.A. The logic of inductive inference. J. Roy. Statist. Soc. A. 98:1935;39-54.
4. Hajek, P., Havranek, T., 1978. Mechanizing Hypothesis Formation. Springer, Berlin, Heidelberg, p. 163.
5. Martín Andrés A. A review of classic non-asymptotic methods for comparing two proportions by means of independent samples. Comm. Statist. Simulation Comput. 20(2,3):1991;551-583.
6. Martín Andrés, A., 1997. Entry Fisher's exact and Barnard's tests. In: Kotz, Johnson, Read (Eds.), Encyclopedia of Statistical Sciences, updated Vol. 2, Wiley-Interscience, New York, pp. 250-258.
7. Martín Andrés A., Herranz Tejedor I. Is Fisher's exact test very conservative? Comput. Statist. Data Anal. 19:1995;579-591.
8. Martín Andrés A., Silva Mato A. Choosing the optimal unconditioned test for comparing two independent proportions. Comput. Statist. Data Anal. 17:1994;555-574.
9. Martín Andrés A., Tapia Garcia J.M. On determining the. P -value in 2×2 multinomial trials J. Statist. Plann. Inference. 69(1):1998;33-49. (erratum in 79 (1999) 365).
10. Martín Andrés A., Tapia Garcia J.M. Optimal unconditional test in. 2×2 multinomial trials Comput. Statist. Data Anal. 31(3):1999;311-321.
11. Martín Andrés A., Sánchez Quevedo M.J., Silva Mato A. Fisher's mid-. p -value arrangement in 2×2 comparative trials Comput. Statist. Data Anal. 29(1):1998;107-115.
12. Pearson E.S. The choice of statistical tests illustrated on the interpretation of data classed in a. 2×2 table Biometrika. 34:1947;139-167.
13. Sánchez Quevedo, M.J., 2002. Algunas cuestiones acerca de los ensayos comparativos 2×2 . Ph.D. Thesis. Departamento de Estadística e I.O. Universidad de Cádiz, Spain.
14. Silva Mato A., Martín Andrés A. Optimal unconditional tables for comparing two independent proportions. Biometrical J. 37(7):1995;821-836.
15. Yates F. Test of significance for. 2×2 contingency tables J. Roy. Statist. Soc. A. 147(3):1984;426-463.