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1698Bonferroni Cutoff After Collapsing to Effective FamiliesA 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?统计中等derivation未尝试面试订阅1699Sidak Cutoff for 18 Effective Research ChoicesA 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%?统计简单derivation未尝试免费1700BH q Range That Keeps Exactly Three FamiliesFive 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?统计中等derivation未尝试面试订阅1701Holm Improvement Needed for All Three Themes to PassThree 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?统计中等derivation未尝试面试订阅1702Median of the Smallest Null p-Value Across 25 TriesA 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?统计简单derivation未尝试免费1704In-Sample Screen Needed After a 10-Lag SearchA 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?统计简单derivation未尝试免费1706Why Dependence Changes the Adjustment, Not the ProblemA 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?统计简单essay未尝试免费1710Global Error Implied by a Per-Bucket CutoffA desk uses the same per-bucket cutoff 0.0045 across 20 independent event buckets. What family-wise false-positive probability does that imply?统计中等derivation未尝试面试订阅