EEB 518 Notes
Multiple Comparisons: Bonferroni, Sequential Bonferroni Corrections and False Discovery Rates

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Advanced Topics in Biological Statistics Home Page

  1. lecture notes (pdf file, xx pages)

  2. pdf of recent papers

  1. Allison, D. B., G. L. Gadbury, M. Heo, J. R. Fernandez, C.-K. Lee, T. A. Prolla, and R. Weindruch. 2002. A mixture model approach for the analysis of microarray gene expression data. Computational Statistics and Data Analysis 39: 1-20.
  2. Benjamini, Y., and Hochberg, T. 1995. J. Royal Stat. Soc. B 85: 289--300.
  3. Fernando, R. L., D. Nettleton, B. R. Southey, J. C. M. Dekkers, M. F. Rothschild, and M. Soller. 2004. Controlling the proportion of false positives in multiple dependent tests. Genetics 166: 611-619.
  4. Hochberg, Y. 1988. A sharper Bonferroni procedure for multiple tests of significance. Biometrika 75: 800--802.
  5. Holm, S. 1979. A simple sequential rejective multiple test procedure. Scand. J. Statistics 6: 65--70.
  6. Mosig, M. O., E. Lipkin, G. Khutoreskaya, E. Tchourzyna, M. Soller, and A. Friedmann. 2001 A Whole Genome Scan for Quantitative Trait Loci Affecting Milk Protein Percentage in Israeli-Holstein Cattle, by Means of Selective Milk DNA Pooling in a Daughter Design, Using an Adjusted False Discovery Rate Criterion, Genetics 157: 1683-1698.
  7. Schweder, T. and E. Spjotvoll. 1982. Plots of p-values to evaluate many tests simultaneously. Biometrika 69: 493--502.
  8. Simes, J. R. 1986. An improved Bonferroni procedure for multiple tests of significance. Biometrika 73: 75--754.
  9. Storey J.D. 2002. A direct approach to false discovery rates Journal of the Royal Statistical Society Series B: 64: 479--498.
  10. Storey J.D. 2003. The positive false discovery rate: a Bayesian interpretation and the q-value. Annals of Statistics 31: 2013-2035
  11. Storey JD, Taylor JE, and Siegmund D. 2004 Strong control, conservative point estimation, and simultaneous conservative consistency of false discovery rates: A unified approach. Journal of the Royal Statistical Society, Series B: 66: 187-205.
  12. Storey, J. D., and R. Tibshirani. 2003. Statistical significance for genomewide studies. Proc. Natl. Acad. Sci. 100: 9440--9445.
  13. Thissen, D., L. Steinerg, and D. Kuang. 2002. Quick and easy implementation of the Benjamini-Hochberg procedure for controlling the false positive rate in multiple comparisons. Journal of Educational and Behavioral Statistics 27: 77-83.

  • Software
    1. Website for John Storey;s Q-value software for compute q values unfer the pFDR.