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Optimal Sample Size for Multiple Testing: The Case of Gene Expression Microarrays

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  • Peter Muller
  • Giovanni Parmigiani
  • Christian Robert
  • Judith Rousseau

Abstract

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  • Peter Muller & Giovanni Parmigiani & Christian Robert & Judith Rousseau, 2004. "Optimal Sample Size for Multiple Testing: The Case of Gene Expression Microarrays," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 990-1001, December.
    • Handle: RePEc:bes:jnlasa:v:99:y:2004:p:990-1001
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    Citations

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    Cited by:

    1. Rossell David & Guerra Rudy & Scott Clayton, 2008. "Semi-Parametric Differential Expression Analysis via Partial Mixture Estimation," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 7(1), pages 1-29, April.
    2. Sudipto Banerjee, 2023. "Discussion of “Optimal test procedures for multiple hypotheses controlling the familywise expected loss” by Willi Maurer, Frank Bretz, and Xiaolei Xun," Biometrics, The International Biometric Society, vol. 79(4), pages 2798-2801, December.
    3. Cohen, Arthur & Sackrowitz, Harold B., 2007. "More on the inadmissibility of step-up," Journal of Multivariate Analysis, Elsevier, vol. 98(3), pages 481-492, March.
    4. Zhaoyang Tian & Kun Liang & Pengfei Li, 2021. "A powerful procedure that controls the false discovery rate with directional information," Biometrics, The International Biometric Society, vol. 77(1), pages 212-222, March.
    5. Jack Jewson & Li Li & Laura Battaglia & Stephen Hansen & David Rossell & Piotr Zwiernik, 2022. "Graphical model inference with external network data," CeMMAP working papers 20/22, Institute for Fiscal Studies.
    6. Wang, Xia & Shojaie, Ali & Zou, Jian, 2019. "Bayesian hidden Markov models for dependent large-scale multiple testing," Computational Statistics & Data Analysis, Elsevier, vol. 136(C), pages 123-136.
    7. Edsel Peña & Joshua Habiger & Wensong Wu, 2015. "Classes of multiple decision functions strongly controlling FWER and FDR," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(5), pages 563-595, July.
    8. Dickhaus Thorsten, 2015. "Simultaneous Bayesian analysis of contingency tables in genetic association studies," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 14(4), pages 347-360, August.
    9. David Lähnemann & Johannes Köster & Ute Fischer & Arndt Borkhardt & Alice C. McHardy & Alexander Schönhuth, 2021. "Accurate and scalable variant calling from single cell DNA sequencing data with ProSolo," Nature Communications, Nature, vol. 12(1), pages 1-11, December.
    10. Willi Maurer & Frank Bretz & Xiaolei Xun, 2023. "Optimal test procedures for multiple hypotheses controlling the familywise expected loss," Biometrics, The International Biometric Society, vol. 79(4), pages 2781-2793, December.
    11. Michele Guindani & Wesley O. Johnson, 2018. "More nonparametric Bayesian inference in applications," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 27(2), pages 239-251, June.
    12. Cheng‐Han Yu & Raquel Prado & Hernando Ombao & Daniel Rowe, 2023. "Bayesian spatiotemporal modeling on complex‐valued fMRI signals via kernel convolutions," Biometrics, The International Biometric Society, vol. 79(2), pages 616-628, June.
    13. Ghosh Debashis, 2012. "Incorporating the Empirical Null Hypothesis into the Benjamini-Hochberg Procedure," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 11(4), pages 1-21, July.
    14. Xiaoquan Wen, 2017. "Robust Bayesian FDR Control Using Bayes Factors, with Applications to Multi-tissue eQTL Discovery," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 9(1), pages 28-49, June.
    15. Zichen Ma & Shannon W. Davis & Yen‐Yi Ho, 2023. "Flexible copula model for integrating correlated multi‐omics data from single‐cell experiments," Biometrics, The International Biometric Society, vol. 79(2), pages 1559-1572, June.
    16. Willi Maurer & Frank Bretz & Xiaolei Xun, 2023. "Rejoinder to discussions on “Optimal test procedures for multiple hypotheses controlling the familywise expected loss”," Biometrics, The International Biometric Society, vol. 79(4), pages 2811-2814, December.
    17. Elisa C. J. Maria & Isabel Salazar & Luis Sanz & Miguel A. Gómez-Villegas, 2020. "Using Copula to Model Dependence When Testing Multiple Hypotheses in DNA Microarray Experiments: A Bayesian Approximation," Mathematics, MDPI, vol. 8(9), pages 1-22, September.
    18. Bickel David R., 2008. "Correcting the Estimated Level of Differential Expression for Gene Selection Bias: Application to a Microarray Study," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 7(1), pages 1-27, March.
    19. Noirrit Kiran Chandra & Sourabh Bhattacharya, 2021. "Asymptotic theory of dependent Bayesian multiple testing procedures under possible model misspecification," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 73(5), pages 891-920, October.
    20. Gómez-Villegas Miguel A. & Sanz Luis & Salazar Isabel, 2014. "A Bayesian decision procedure for testing multiple hypotheses in DNA microarray experiments," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 13(1), pages 49-65, February.
    21. Kiranmoy Das, 2016. "A semiparametric Bayesian approach for joint modeling of longitudinal trait and event time," Journal of Applied Statistics, Taylor & Francis Journals, vol. 43(15), pages 2850-2865, November.

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