Communications for Statistical Applications and Methods

The Korean Statistical Society (한국통계학회)
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Nonparametric Tests for 2×2 Cross-Over Design

  • Gee, Kyuhoon (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dongjae (Department of Biostatistics, The Catholic University of Korea)
  • Received : 2012.09.19
  • Accepted : 2012.11.07
  • Published : 2012.11.30
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Abstract

A $2{\times}2$ Cross-over design is widely used in clinical trials for comparison studies of two kinds of drugs or medical treatments. This design has many statistical methods such as Hills-Armitage's (1979) method or Koch's (1972) method. In this paper, we propose a nonparametric test for $2{\times}2$ Cross-over design based on a two-sample test suggested by Baumgartner et al. (1998). In addition, a Monte Carlo simulation study is adapted to compare the power of the proposed methods with those of previous methods.

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References

  1. Baumgartner, W., Weiss, P. and Schindler, H. (1998). A nonparametric test for the general two-sample problem, Biometrics, 54, 1129-1135. https://doi.org/10.2307/2533862
  2. Grizzle, J. E. (1965). The two-period change over design and its use in clinical trials, Biometrics, 21, 467-480. https://doi.org/10.2307/2528104
  3. Hills, A. V. and Armitage, P. (1979). The two-period cross-over clinical trial, British Journal of Clinical Pharmacology, 8, 7-20. https://doi.org/10.1111/j.1365-2125.1979.tb05903.x
  4. Kim, D. (1999). Distribution-free tests for cross-over design data, The Korean Communications in Statistics, 6, 151-157.
  5. Kim, D., Lee, S. C. andWang,W. (2011). The asymptotic behavior of linear placements statistics, Statistics and Probability Letters, 81, 326-336. https://doi.org/10.1016/j.spl.2010.10.021
  6. Koch, G. G. (1972). The use of none-parametric methods in the statistical analysis of the two-period change over design, Biometrics, 28, 577-584. https://doi.org/10.2307/2556170
  7. Park, Y. K. and Song, H. H. (1998). Analysis of Repeated Measures and Cross-Over Design, Freeacademy, Korea.