93
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Sample size determination for testing equality in frequency data under an incomplete block crossover design

Pages 1517-1529 | Received 28 Apr 2017, Accepted 11 Sep 2017, Published online: 27 Sep 2017

References

  • A. Agresti, Categorical Data Analysis, Wiley, New York, 1990.
  • F. Ezzet and J. Whitehead, A random effects model for ordinal responses from a crossover trial, Stat. Med. 10 (1991), pp. 901–907. doi: 10.1002/sim.4780100611
  • F. Ezzet and J. Whitehead, A random effects model for binary data from crossover clinical trials, Appl. Stat. 41 (1992), pp. 117–126. doi: 10.2307/2347622
  • J.L. Fleiss, The Design and Analysis of Clinical Experiments, Wiley, New York, 1986.
  • J.L. Fleiss, On multiperiod crossover studies, Biometrics (Correspondence) 42 (1986), pp. 449–450.
  • J.L. Fleiss, A critique of recent research on the two-treatment crossover design, Control. Clin. Trials 10 (1989), pp. 237–243. doi: 10.1016/0197-2456(89)90065-2
  • J.L. Fleiss, B. Levin and M.C. Paik, Statistical Methods for Rates and Proportions, 3rd ed., Wiley, New York, 2003.
  • J.J. Gart, An exact test for comparing matched proportions in crossover designs, Biometrika 56 (1969), pp. 75–80. doi: 10.1093/biomet/56.1.75
  • F. A. Graybill, Theory and Application of the Linear Model, Duxbury, Belmont, CA, 1976.
  • J.E. Grizzle, The two-period change-over design and its use in clinical trials, Biometrics 21 (1965), pp. 467–480. doi: 10.2307/2528104
  • M. Hill and P. Armitage, The two-period cross-over clinical trial, Br. J. Clin. Pharmacol. 8 (1979), pp. 7–20. doi: 10.1111/j.1365-2125.1979.tb05903.x
  • B. Jones and M.G. Kenward, Modelling binary data from a three-period cross-over trial, Stat. Med. 6 (1987), pp. 555–564. doi: 10.1002/sim.4780060504
  • B. Jones and M.G. Kenward, Design and Analysis of Cross-Over Trials, 3rd ed., Chapman and Hall, Taylor & Francis Group, London, 2014.
  • M. Kenward and B. Jones, The analysis of categorical data from cross-over trials using a latent variable model, Stat. Med. 10 (1991), pp. 1607–1619. doi: 10.1002/sim.4780101012
  • K.-J. Lui, Statistical Estimation of Epidemiology Risk, Wiley, New York, 2004.
  • K.-J. Lui, Sample size determination for testing equality in Poisson frequency data under an AB/BA crossover trial, Pharm. Stat. 12 (2013), pp. 74–81. doi: 10.1002/pst.1555
  • K.-J. Lui, Estimation of the treatment effect under an incomplete block crossover design in binary data – a conditional likelihood approach. Stat. Methods Med. Res. (2015). doi:doi: 10.1177/0962280215595434
  • K.-J. Lui, Crossover Designs: Testing, Estimation, and Sample Size, Wiley, New York, 2016.
  • K.-J. Lui, Notes on estimation in Poisson frequency data under an incomplete block crossover design, Stat. Methodol. 32 (2016), pp. 53–62. doi: 10.1016/j.stamet.2016.01.007
  • K.-J. Lui, Notes on testing carry-over effects in continuous data under an incomplete block crossover design, Commun. Stat. Simul. Comput. 46 (2017), pp. 5229–5239.
  • K.-J. Lui and K.-C. Chang, Test non-inferiority (and equivalence) based on the odds ratio under a simple crossover trial, Stat. Med. 30 (2011), pp. 1230–1242.
  • K.-J. Lui and K.-C. Chang, Estimation of the proportion ratio under a simple crossover trial, Comput. Stat. Data Anal. 56 (2012), pp. 522–530. doi: 10.1016/j.csda.2011.08.013
  • K.-J. Lui and K.-C. Chang, Exact sample-size determination in testing non-inferiority under a simple crossover trial, Pharm. Stat. 11 (2012), pp. 129–134. doi: 10.1002/pst.506
  • K.-J. Lui and K.-C. Chang, Hypothesis testing and estimation in ordinal data under a simple crossover design, J. Biopharm. Stat. 22 (2012), pp. 1137–1147. doi: 10.1080/10543406.2011.574326
  • K.-J. Lui and K.-C. Chang, Sample size determination for testing nonequality under a three-treatment two-period incomplete block crossover trial, Biometric. J. 57 (2015), pp. 410–421. doi: 10.1002/bimj.201400120
  • K.-J. Lui and K.-C. Chang, Test and estimation in binary data analysis under an incomplete block crossover design, Comput. Stat. Data. Anal. 81 (2015), pp. 130–138. doi: 10.1016/j.csda.2014.07.017
  • K.-J. Lui and K.-C. Chang, Exact tests in binary data under an incomplete block crossover design, Stat Methods Med Res (2016). doi:doi: 10.1177/0962280216638382
  • K.-J. Lui and K.-C. Chang, Notes on testing equality and interval estimation in Poisson frequency data under a three-treatment three-period crossover trial, Stat. Methods Med. Res. 25 (2016), pp. 2161–2179. doi: 10.1177/0962280213519249
  • SAS Institute, Inc, User’s Guide, 2nd ed., SAS Institute Inc., Cary, NC, 2009.
  • H. Schouten and A. Kester, A simple analysis of a simple crossover trial with a dichotomous outcome measure, Stat. Med. 29 (2010), pp. 193–198.
  • S. Senn, Cross-over Trials in Clinical Research, 2nd ed., Wiley, Chichester, 2002.
  • S. Senn, Cross-over trials in statistics in medicine: The first ‘25’ years, Stat. Med. 25 (2006), pp. 3430–3442. doi: 10.1002/sim.2706
  • S.J. Senn, Cross-over trials, carry-over effects and the art of self-delusion, Stat. Med. 7 (1988), pp. 1099–1101 (letter). doi: 10.1002/sim.4780071010
  • S.J. Senn, Is the simple carry-over model useful? Stat. Med. 11 (1992), pp. 715–726. doi: 10.1002/sim.4780110603
  • D.R. Taylor, J.M. Drazen, G.P. Herbison, C.N. Yandava, R.J. Hancox, and G.I. Town, Asthma exacerbations during long term β agonist use: Influence of β2 adrenoceptor polymorphism, Thorax 55 (2000), pp. 762–767. doi: 10.1136/thorax.55.9.762
  • D.R. Taylor, G.I. Town, G.P. Herbison, D. Boothman-Burrell, E.M. Flannery, B. Hancox, E. Harré, K. Laubscher, C. Linscott, C.M. Ramsay, G. Richards with the Technical assistance of J. Cowan, N. Holbrook, C. McLachlan, and S. Rigby, Asthma control during long term treatment with regular inhaled salbutamol and salmeterol, Thorax 53 (1998), pp. 744–752. doi: 10.1136/thx.53.9.744
  • H. Zimmermann and V. Rahlfs, Test hypotheses in the two-period change-over with Binary data, Biometric. J. 20 (1978), pp. 133–141. doi: 10.1002/bimj.4710200207

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.