2,813
Views
7
CrossRef citations to date
0
Altmetric
Articles

A more powerful unconditional exact test of homogeneity for 2 × c contingency table analysis

ORCID Icon, &
Pages 2572-2582 | Received 28 Sep 2018, Accepted 26 Mar 2019, Published online: 06 Apr 2019

References

  • A. Agresti, Exact inference for categorical data: Recent advances and continuing controversies, Stat. Med. 20 (2001), pp. 2709–2722. doi: 10.1002/sim.738
  • A. Agresti, Categorical Data Analysis, Wiley, New York, 2002.
  • S. Al-Majid, L.D. Wilson, C. Rakovski, and J.W. Coburn, Effects of exercise on biobehavioral outcomes of fatigue during cancer treatment results of a feasibility study, Biol. Res. Nurs. 17 (2015), pp. 40–48. doi: 10.1177/1099800414523489
  • G. Barnard, A new test for 2×2 tables, Nature 156 (1945), pp. 177. doi: 10.1038/156177a0
  • G. Barnard, Significance tests for 2×2 tables, Biometrika 34 (1947), pp. 123–138. doi: 10.1093/biomet/34.1-2.179
  • R. Boschloo, Raised conditional level of significance for the 2×2-table when testing the equality of two probabilities, Stat. Neerl. 24 (1970), pp. 1–9. doi: 10.1111/j.1467-9574.1970.tb00104.x
  • B. Efron and R.J. Tibshirani, Permutation tests, in An Introduction to the Bootstrap, Springer, New York, 1993, pp. 202–219
  • R.A. Fisher, On the interpretation of χ2 from contingency tables, and the calculation of P, J. R. Stat. Soc. 85 (1922), pp. 87–94. doi: 10.2307/2340521
  • R.A. Fisher, Confidence limits for a cross-product ratio, Aust. J. Stat. 4 (1962), pp. 41–41. doi: 10.1111/j.1467-842X.1962.tb00285.x
  • C.-Y. Lin and M.-C. Yang, Improved p-value tests for comparing two independent binomial proportions, Comm. Stat. Simulation Comput. 38 (2008), pp. 78–91. doi: 10.1080/03610910802417812
  • A.S. Mato and A.M. Andrés, Simplifying the calculation of the p-value for Barnard's test and its derivatives, Stat. Comput. 7 (1997), pp. 137–143. doi: 10.1023/A:1018573716156
  • D.V. Mehrotra, I.S. Chan, and R.L. Berger, A cautionary note on exact unconditional inference for a difference between two independent binomial proportions, Biometrics 59 (2003), pp. 441–450. doi: 10.1111/1541-0420.00051
  • C.R. Mehta and J.F. Hilton, Exact power of conditional and unconditional tests: going beyond the 2× 2 contingency table, Am. Stat. 47 (1993), pp. 91–98.
  • C.R. Mehta and N.R. Patel, Algorithm 643: Fexact: A fortran subroutine for Fisher's exact test on unordered r× c contingency tables, ACM Trans. Math. Softw. 12 (1986), pp. 154–161. doi: 10.1145/6497.214326
  • C.R. Mehta, N.R. Patel, and A.A. Tsiatis, Exact significance testing to establish treatment equivalence with ordered categorical data, Biometrics 40 (1984), pp. 819–825. doi: 10.2307/2530927
  • N.L. Oliveira, C.A.d.B. Pereira, M.A. Diniz, and A Polpo, A discussion on significance indices for contingency tables under small sample sizes, PLoS One 13 (2018), p. e0199102. doi: 10.1371/journal.pone.0199102
  • J. Röhmel and U. Mansmann, Unconditional non-asymptotic one-sided tests for independent binomial proportions when the interest lies in showing non-inferiority and/or superiority, Biom. J. 41 (1999), pp. 149–170. doi: 10.1002/(SICI)1521-4036(199905)41:2<149::AID-BIMJ149>3.0.CO;2-E
  • R. Routledge, Resolving the conflict over Fisher's exact test, Can. J. Stat. 20 (1992), pp. 201–209. doi: 10.2307/3315468
  • F. Yates, Contingency tables involving small numbers and the χ 2 test, Suppl. J. R. Stat. Soc. 1 (1934), pp. 217–235. doi: 10.2307/2983604
  • F. Yates, Tests of significance for 2×2 contingency tables, J. R. Stat. Soc. Ser. A 147 (1984), pp. 426–449. doi: 10.2307/2981577