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Original Articles

A fiducial test for assessing the non-inferiority of odds ratio in matched-pairs design

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Pages 2978-2991 | Received 26 Jun 2019, Accepted 11 Dec 2019, Published online: 30 Dec 2019

References

  • Cai, T. T. 2005. One-side confidence intervals in discrete distributions. Journal of Statistical Planning and Inference 131:63–88.
  • Chen, W. Q., and H. Jin. 2012. A new non-inferiority test based on Bayesian estimation in matched-pairs design. Statistics and Its Interface 5 (4):443–9. doi:10.4310/SII.2012.v5.n4.a7.
  • Clopper, C. J., and E. S. Pearson. 1934. The use of confidence or fiducial limits illustrated in the case of binomial. Biometrika 26 (4):404–13. doi:10.2307/2331986.
  • Dawid, A. P., and M. Stone. 1982. The function-model basis of fiducial inference. The Annals of Statistics 10 (4):1054–73. doi:10.1214/aos/1176345970.
  • Fisher, R. A. 1922. On the mathematical foundations of theoretical statistics. Philosophical Transactions of the Royal Society A 222 (594–604):309–68.
  • Fisher, R. A. 1925. Theory of statistical estimation. Proceedings of the Cambridge Philosophical Society 22 (5):700–25. doi:10.1017/S0305004100009580.
  • Fisher, R. A. 1930. Inverse probability. Proceedings of the Cambridge Philosophical Society xxvi:528–35. doi:10.1017/S0305004100016297.
  • Garwood, F. 1936. Fiducial limits for the Poisson distribution. Biometrika 28:437–42. doi:10.2307/2333958.
  • Hsueh, H. M., J. P. Liu, and J. J. Chen. 2001. Unconditional exact tests for equivalence or non-inferiority for paired binary endpoints. Biometrics 57 (2):478–83. doi:10.1111/j.0006-341X.2001.00478.x.
  • Jin, H., X. B. Feng, M. M. Chen, and C. L. Zhang. 2014. Two new methods for non-inferiority testing of the ratio in matched-pair setting. TEST 23 (4):691–707. doi:10.1007/s11749-014-0374-6.
  • Jin, H., S. Li, and Y. L. Jin. 2016. The IM-based method for testing the non-inferiority of odds ratio in matched-pairs design. Statistics & Probability Letters 109:145–51. doi:10.1016/j.spl.2015.11.016.
  • Krishnamoorthy, K., and L. Meesook. 2010. Inference for function of parameters in discrete distributions based on fiducial approach: Binomial and Poisson cases. Journal of Statistical Planning and Inference 140 (5):1182–92.
  • Krishnamoorthy, K., and D. Zhang. 2015. Approximate and fiducial confidence intervals for the difference between two binomial proportions. Communications in Statistics 10:1745–59.
  • Krishnamoorthy, K., M. Lee, and D. Zhang. 2017. Closed-form fiducial confidence intervals for some functions of independent binomial parameters with comparisons. Statistical Methods in Medical Research 26 (1):43–63.
  • Lachin, J. M. 2000. Biostatistical methods: The assessment of relative risks, 175–90. New York: Wiley.
  • Lachenbruch, P. A., and C. J. Lynch. 1998. Assessing screening tests: Extensions of McNemar’s test. Statistics in Medicine 17 (19):2207–17. doi:10.1002/(SICI)1097-0258(19981015)17:19<2207::AID-SIM920>3.3.CO;2-P.
  • Liu, C. H., and R. Martin. 2015. Frameworks for prior-free posterior probabilistic inference. Wiley Interdisciplinary Reviews: Computational Statistics 7:77–85. doi:10.1002/wics.1329.
  • Liu, J. P., H. Y. Fan, and M. C. Ma. 2005. Tests for equivalence based on odds ratio for matched-pair design. Journal of Biopharmaceutical Statistics 15 (6):889–901. doi:10.1080/10543400500265561.
  • Liu, J.-P., H.-M. Hsueh, E. Hsieh, and J. J. Chen. 2002. Tests for equivalence or non-inferiority for paired binary data. Statistics in Medicine 21 (2):231–45. doi:10.1002/sim.1012.
  • Lloyd, C. J., and M. V. Moldovan. 2008. A more powerful exact test of non-inferiority from binary matched-pairs data. Statistics in Medicine 27 (18):3540–9. doi:10.1002/sim.3229.
  • Lu, Y., and J. A. Bean. 1995. On the sample size for studies of bioequivalence based upon McNemar’s test. Statistics in Medicine 14 (16):1831–9. doi:10.1002/sim.4780141611.
  • Martin, R., and C. H. Liu. 2013a. Inferential models: A framework for prior-free posterior probabilistic inference. Journal of the American Statistical Association 108 (501):301–13. doi:10.1080/01621459.2012.747960.
  • Martin, R., and C. H. Liu. 2013b. Correction: ‘Inferential models: A framework for prior-free posterior-posterior probabilistic inference’. Journal of the American Statistical Association 108 (503):1138–9.
  • Nam, J. 1997. Establishing equivalence of two treatments and sample size requirements in matched-pairs design. Biometrics 53 (4):1422–30. doi:10.2307/2533508.
  • Nam, J., and W. C. Blackwelder. 2002. Analysis of the ratio of marginal probabilities in a matched-pair setting. Statistics in Medicine 21 (5):689–99. doi:10.1002/sim.1017.
  • Sidik, K. 2002. Exact unconditional tests for testing non-inferiority in matched-pairs design. Statistics in Medicine 22 (2):265–78. doi:10.1002/sim.1261.
  • Stevens, W. L. 1950. Fiducial limits of the parameter of a discontinuous distribution. Biometrika 37 (1–2):117–29. doi:10.1093/biomet/37.1-2.117.
  • Tang, N. S., M. L. Tang, and I. S. F. Chan. 2003. On tests of equivalence via non-unity relative risk for matched-pair design. Statistics in Medicine 22 (8):1217–33. doi:10.1002/sim.1213.
  • Tango. T. 1998. Equivalence test and confidence interval for the difference in proportions for the paired-sample design. Statistics in Medicine 17 (8):891–908. doi:10.1002/(SICI)1097-0258(19980430)17:8<891::AID-SIM780>3.3.CO;2-2.
  • Wang, Z. N., H. Jin, H. Z. Lu, and Y. L. Jin. 2018. An efficient test based on the inferential model for the non-inferiority of odds ratio in matched-pairs design. Statistical Methods in Medical Research 27 (9):2831–41. doi:10.1177/0962280216688031.
  • Zhong, Z. H., W. Q. Chen, and H. Jin. 2012. A new test for testing non inferiority in matched-pairs design. Communications in Statistics - Simulation and Computation 41 (9):1557–65. doi:10.1080/03610918.2011.606952.

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