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Selective inference in complex research. (English) Zbl 1185.62125
Summary: We explain the problem of selective inference in complex research using a recently published study: a replicability study of the associations in order to reveal and establish risk loci for type 2 diabetes. The false discovery rate approach to such problems will be reviewed, and we further address two problems: (i) setting confidence intervals on the size of the risk at the selected locations and (ii) selecting the replicable results.

MSC:
62J15 Paired and multiple comparisons; multiple testing
62P10 Applications of statistics to biology and medical sciences; meta analysis
62F25 Parametric tolerance and confidence regions
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