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中文题目Five family-level winners have ordered p-values 0.004, 0.011, 0.018, 0.031, and 0.070. For what range of BH target levels q would Benjamini-Hochberg keep exactly the first three discoveries?
打开 →A research grid contains 60 model variants, but the desk argues they amount to only 15 effectively distinct families. If it wants family-wise error at most 10% using a Bonferroni family-level rule, what p-value cutoff should it apply to each effective family?
打开 →A desk uses the same per-bucket cutoff 0.0045 across 20 independent event buckets. What family-wise false-positive probability does that imply?
打开 →Three ordered family p-values are 0.012, 0.027, and 0.030. The desk uses Holm at 5% family-wise error. By how much must the middle p-value fall so that all three themes pass?
打开 →A desk tries 10 lags for a genuinely null signal, keeps the best in-sample lag if any lag has p-value below alpha, and then requires a fresh holdout p-value below 10%. What alpha makes the overall false-launch probability exactly 2%, assuming independence under the null?
打开 →A researcher always reports the smallest p-value among 25 genuinely null backtests. Under independence and exact Uniform(0,1) null p-values, what is the median of that reported minimum?
打开 →A desk believes its many correlated parameter tweaks boil down to 18 effectively independent research choices. What Sidak per-choice cutoff controls family-wise error at 5%?
打开 →A PM tests 40 signals built from only a few common macro themes, so the p-values are strongly dependent. Why is 'just divide alpha by 40' often too crude, and what is the right conceptual response?
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