Project case study · Statistics · Psychology & Neuroscience · Research in progress

ReplicationScope: Experimental replicability, effect-size heterogeneity and meta-analytic uncertainty

An open, statistics-first investigation of Many Labs 2 publicly released effect tables. Explore the question, planned analysis, sample-design requirements and limitations, with explicitly preliminary real-data execution evidence.

1,593effect-summary rows
26REML contrasts
ExploratoryR result status

01 · Context

Research question

How much variation in each replicated psychological effect is attributable to laboratory differences rather than sampling error?

02 · Methods

Approach

  • Audit effect direction, estimates, variance semantics and laboratory labels.
  • Keep independent psychological contrasts separate instead of pooling them indiscriminately.
  • Use Fisher-z transforms and restricted maximum-likelihood random-effects models.
  • Inspect tau², I², prediction intervals, influence and leave-one-laboratory-out stability.

03 · Evaluation

Reported results

  • An R 4.5.0 execution loaded 1,593 rows from the Many Labs 2 processed effect-summary table, with 1,474 non-missing r/variance pairs, and fitted preliminary REML meta-analyses for 26 eligible laboratory contrasts.
  • The observed execution artifacts, input hashes, package versions and restrictions are documented in the research evidence ledger. Full reproducibility and sensitivity gates are still outstanding.
  • Interpretation remains exploratory and no causal, diagnostic or peer-reviewed conclusion is asserted.
  • Five highest-I² contrasts were refitted after ten selected laboratory deletions each (50 sensitivity refits total). The check is limited to these chosen exclusions and does not replace a full effect-coding and influence audit.

04 · Scope

Limitations

Effect-definition alignment, source-specific dependence and transformed variance semantics have not been independently verified. Estimates derive from upstream processed summaries rather than reproducing every raw experiment.

05 · Observations

Exploratory figures

Forest plot of 26 contrast-specific replication effect estimates with confidence intervals
REML pooled effect estimates from upstream Many Labs 2 processed laboratory summaries; full effect-coding audit pending.