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Original Articles

On simultaneous confidence intervals based on rank-estimates with application to analysis of gene expression data

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Pages 4339-4349 | Received 18 Feb 2017, Accepted 13 Jul 2018, Published online: 04 Dec 2018

References

  • Dudoit, S., J. P. Shaffer, and J. C. Block. 2003. Multiple hypothesis testing in microarray experiments. Statistical Science 18(1):71–103.
  • Dudoit, S., and M. J. van der Laan. 2008. Multiple testing procedures with applications to genomics. New York, NY: Springer.
  • Dunn, O. J. 1964. Multiple comparisons based on rank sums. Technometrics 6(3):241–52.
  • Dwass, M. 1960. Some k-sample rank-order tests. Contributions to probability and statistics, ed. I. Olkin. California: Stanford University Press.
  • Genz, A., F. Bretz, T. Miwa, X. Mi, F. Leisch, F. Scheipl, B. Borncamp, M. Maechler, and T. Hothorn. 2017. mvtnorm: Multivariate normal and t distributions. R package version 1.0-6. http://CRAN.R-project.org/package=mvtnorm
  • Genz, A., and F. Bretz. 2009. Computation of multivariate normal and t probabilities. Lecture Notes in Statistics. Heidelberg: Springer-Verlag.
  • Hettmansperger, T. P., and J. W. McKean. 1998. Robust nonparametric statistical methods. New York, NY: Chapman & Hall.
  • Hochberg, Y., and A. C. Tamhane. 1987. Multiple comparison procedures. New York, NY: Wiley.
  • Hothorn, T., F. Bretz, and P. Westfall. 2008. Simultaneous inference in general parametric models. Biometrical Journal 50(3):346–63.
  • Hsu, J. 1996. Multiple comparisons, theory and methods. London, UK: Chapman and Hall.
  • Hsu, J. C., J. Y. Chang, and T. Wang. 2006. Simultaneous confidence intervals for differential gene expressions. Journal of Statistical Planning and Inference 136(7):2182–96.
  • Jaeckel, L. A. 1972. Estimating regression coefficients by minimizing the dispersion of the residuals. The Annals of Mathematical Statistics 43(5):1449–58.
  • Kerr, M. K., M. Martin, and G. A. Churchill. 2000. Analysis of variance for gene expression microarray data. Journal of Computational Biology 7(6):819–37.
  • Kloke, J. D., and J. W. McKean. 2012. Rfit: Rank-based estimation for linear models. The R Journal 4(2):57–64.
  • Koul, H. L., G. L. Sievers, and J. W. McKean. 1987. An estimator of the scale parameter for the rank analysis of linear models under general score functions. Scandinavian Journal of Statistics 14:131–41.
  • Li, B., and H. Mansouri. 2016. Simultaneous rank tests for detecting differentially expressed genes. Journal of Statistical Computation and Simulation 86(5):959–72.
  • Mansouri, H. 2015. Simultaneous inference based on rank statistics in linear models. Journal of Statistical Computation and Simulation 85(4):660–74.
  • Nemenyi, P. 1963. Distribution-free multiple comparisons. PhD Thesis, Princeton University.
  • Serfling, R. J. 1980. Approximation theorems of mathematical statistics. New York, NY: Wiley & Sons.
  • Steel, R. G. T. 1960. A rank sum test for comparing all pairs of treatments. Technometrics 2(2):197–207.
  • Stine, R. 1989. An introduction to bootstrap methods. Sociological Methods and Research 18(2-3):243–91.

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