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Original Articles

The equivalence of two approaches to incorporating variance uncertainty in sample size calculations for linear statistical models

Pages 40-56 | Received 31 Jan 2015, Accepted 23 Feb 2016, Published online: 16 May 2016

References

  • R.H. Browne, On the use of a pilot sample for sample size determination, Statistics in Medicine 14 (1995), pp. 1933–1940. doi: 10.1002/sim.4780141709
  • J. Cohen, Statistical Power Analysis for the Behavioral Sciences, 2nd ed., Lawrence Erlbaum, Hillsdale, NJ, 1988.
  • M.M. Desu and D. Raghavarao, Sample Size Methodology, Academic Press, Boston, MA, 1990.
  • M. Kieser and G. Wassmer, On the use of the upper confidence limit for the variance from a pilot sample for sample size determination, Biometrical Journal 38 (1996), pp. 941–949. doi: 10.1002/bimj.4710380806
  • H.C. Kraemer, J. Mintz, A. Noda, J. Tinklenberg, and J.A. Yesavage, Caution regarding the use of pilot studies to guide power calculations for study proposals, Archives of General Psychiatry 63 (2006), pp. 484–489. doi: 10.1001/archpsyc.63.5.484
  • H.C. Kraemer and S. Thiemann, How Many Subjects? Statistical Power Analysis in Research, Sage, Newbury Park, CA, 1987.
  • G.A. Lancaster, S. Dodd S., and P.R. Williamson, Design and analysis of pilot studies: recommendations for good practice, Journal of Evaluation in Clinical Practice 10 (2004), pp. 307–312. doi: 10.1111/j..2002.384.doc.x
  • M.W. Lipsey, Design Sensitivity: Statistical Power for Experimental Research, Sage, Newbury Park, CA, 1990.
  • C.G. Moore, R.E. Carter, P.J. Nietert, and P.W. Stewart, Recommendations for planning pilot studies in clinical and translational research, CTS-Clinical and Translational Science 4 (2011), pp. 332–337. doi: 10.1111/j.1752-8062.2011.00347.x
  • K.R. Murphy and B. Myors, Statistical Power Analysis: A Simple and General Model for Traditional and Modern Hypothesis Test, 2nd ed., Lawrence Erlbaum, Mahwah, NJ, 2004.
  • R.E. Odeh and M. Fox, Sample Size Choice: Charts for Experiments with Linear Models, 2nd ed., Dekker, New York, NY, 1991.
  • A. O’Hagan, J.W. Stevens, and M.J. Campbell, Assurance in clinical design, Pharmaceutical Statistics 4 (2005), pp. 187–201. doi: 10.1002/pst.175
  • A.C. Rencher and G.B. Schaalje, Linear Models In statistics, 2nd ed., Wiley, New York, NY, 2008.
  • SAS Institute, SAS/IML user’s guide, Version 9.3, SAS, Cary, NC, 2003.
  • G. Shieh, On using a pilot sample variance for sample size determination in the detection of differences between two means: Power consideration, Psicologica 34 (2013), pp. 125–143.
  • J. Sim and M. Lewis, The size of a pilot study for a clinical trial should be calculated in relation to considerations of precision and efficiency, Journal of Clinical Epidemiology 65 (2012), pp. 301–308. doi: 10.1016/j.jclinepi.2011.07.011
  • M. Sims, D.A. Elston, M.P. Harris, and S. Wanless, Incorporating variance uncertainity into a power analysis of monitoring designs, Journal of Agricultural, Biological, and Environmental Statistics 12 (2007), pp. 236–249. doi: 10.1198/108571107X197896
  • L. Thabane, J. Ma, R. Chu, J. Cheng, A. Ismalia, L.P. Rios, R. Robson, M. Thabane, L. Giangregorio, and C.H. Goldsmith, A tutorial on pilot studies: The what, why and how, BMC Medical Research Methodology 10 (2010). doi: 10.1186/1471-2288-10-1
  • A.J. Vickers, Underpowering in randomized trials reporting a sample size calculation, Journal of Clinical Epidemiology 56 (2003), pp. 717–720. doi: 10.1016/S0895-4356(03)00141-0

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