construct.transformational_leadership predicts construct.job_satisfaction
normal · weakly_informative · 3 studies · N = 37,996
Distribution
Weakly informative prior. This prior is weakly informative. It will nudge your posterior but won't overwhelm it; expect data to do most of the work in modest samples.
Intervals
- Confidence interval (95%) — uncertainty about the mean ρ
- [0.44, 0.62]
- Credibility interval (95%) — distribution of the true effect across settings (the Bayesian prior)
- [0.39, 0.66]
- I² (heterogeneity) — share of total variance from between-study differences
- 98% — the contributing studies disagree almost completely; read the pooled value as a midpoint of conflicting findings, not as one population's effect
The true effect varies across settings — moderators likely matter.
SD_ρ>0 — true effect varies across settings; likely moderated (observed-score scale until artifact correction, PRN-058)
Evidence provenance
published ρ=0.54 (k=3, high heterogeneity (I²=0.98)); no primary-deployment evidence yet
| Source | ρ (r) | Scope |
|---|---|---|
| Published literature | 0.54 | k = 3 · N = 37,996 |
- high heterogeneity (I²=0.98)
- replication: meta-analytic
No primary-deployment evidence yet — this prior rests on published literature alone. As anonymized, aggregated effect sizes from real deployments are contributed, they appear here as a distinct, publication-bias-free source, fused with the literature into a posterior estimate.
Code
Drop this prior straight into your model. Snippets generated from the synthesized distribution + parameters.
target += normal_lpdf(beta | 0.600052, 0.0638372);beta = pm.Normal("beta", mu=0.600052, sigma=0.0638372)brms::prior(normal(0.600052, 0.0638372), class = "b")# base R sample
rnorm(N, mean = 0.600052, sd = 0.0638372)np.random.normal(loc=0.600052, scale=0.0638372, size=N)Parameters
| Family | Parameters |
|---|---|
| normal | I2 = 0.9776, mu = 0.6001, sigma = 0.06384, r_mean = 0.5371, k_studies = 3.000, tau_squared = 0.009442, fisher_z_bias = 0.04311, r_mean_bare_bones = 0.4940 |
Synthesis
- Method
- random_effects_meta
- Informativeness
- weakly_informative
- Replication status
- meta-analytic
- k_studies
- 3
- n_total
- 37,996
- Last updated
- 2026-07-16T01:06:13.231Z
Quality distribution
| Grade | Count |
|---|---|
| A | 2 |
| B | 1 |
| C | 0 |
| D | 0 |
Source articles
The research this prior is synthesized from — each is a full dossier (findings, the models it informs, and what the literature says).
Transformational and Transactional Leadership: A Meta-Analytic Test of Their Relative Validity.
Transformational Leadership and Organizational Citizenship Behavior: A Meta-Analytic Test of Underlying Mechanisms
Contributing effect sizes
Effect-size detail pages land with a later sub-ticket; for now, ids link to the filtered list. Browse all rows via /registry/effects.