多重比較問題
(Multiple comparisons problem から転送)
出典: フリー百科事典『ウィキペディア(Wikipedia)』 (2023/10/20 16:18 UTC 版)
統計学における、多重比較、多重性、多重検定の問題は、複数の統計的推論を同時に検討したり[1]、観測値に基づいて選択されたパラメータのサブセットを推論したりするときに発生する[2]。
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- ^ Benjamini, Y. (2010). “Simultaneous and selective inference: Current successes and future challenges”. Biometrical Journal 52 (6): 708–721. doi:10.1002/bimj.200900299. PMID 21154895.
- ^ “Home”. mcp-conference.org. 2023年10月16日閲覧。
- ^ Kutner, Michael; Nachtsheim, Christopher; Neter, John; Li, William (2005). Applied Linear Statistical Models. McGraw-Hill Irwin. pp. 744–745. ISBN 9780072386882
- ^ Aickin, M; Gensler, H (May 1996). “Adjusting for multiple testing when reporting research results: the Bonferroni vs Holm methods”. Am J Public Health 86 (5): 726–728. doi:10.2105/ajph.86.5.726. PMC 1380484. PMID 8629727 .
- ^ Bayer, Adrian E.; Seljak, Uroš (2020). “The look-elsewhere effect from a unified Bayesian and frequentist perspective”. Journal of Cosmology and Astroparticle Physics 2020 (10): 009. arXiv:2007.13821. Bibcode: 2020JCAP...10..009B. doi:10.1088/1475-7516/2020/10/009 .
- ^ Qu, Hui-Qi; Tien, Matthew; Polychronakos, Constantin (2010-10-01). “Statistical significance in genetic association studies”. Clinical and Investigative Medicine 33 (5): E266–E270. ISSN 0147-958X. PMC 3270946. PMID 20926032 .
- ^ Benjamini, Yoav; Hochberg, Yosef (1995). “Controlling the false discovery rate: a practical and powerful approach to multiple testing”. Journal of the Royal Statistical Society, Series B 57 (1): 125–133. JSTOR 2346101.
- ^ Storey, JD; Tibshirani, Robert (2003). “Statistical significance for genome-wide studies”. PNAS 100 (16): 9440–9445. Bibcode: 2003PNAS..100.9440S. doi:10.1073/pnas.1530509100. JSTOR 3144228. PMC 170937. PMID 12883005 .
- ^ Efron, Bradley; Tibshirani, Robert; Storey, John D.; Tusher, Virginia (2001). “Empirical Bayes analysis of a microarray experiment”. Journal of the American Statistical Association 96 (456): 1151–1160. doi:10.1198/016214501753382129. JSTOR 3085878.
- ^ Noble, William S. (2009-12-01). “How does multiple testing correction work?” (英語). Nature Biotechnology 27 (12): 1135–1137. doi:10.1038/nbt1209-1135. ISSN 1087-0156. PMC 2907892. PMID 20010596 .
- ^ Young, S. S., Karr, A. (2011). “Deming, data and observational studies”. Significance 8 (3): 116–120. doi:10.1111/j.1740-9713.2011.00506.x .
- ^ Smith, G. D., Shah, E. (2002). “Data dredging, bias, or confounding”. BMJ 325 (7378): 1437–1438. doi:10.1136/bmj.325.7378.1437. PMC 1124898. PMID 12493654 .
- 1 多重比較問題とは
- 2 多重比較問題の概要
- 3 大規模な多重検定
- 4 関連項目
- Multiple comparisons problemのページへのリンク