Registry · Priors

construct.servant_leadership predicts construct.work_engagement

normal · informative · 2 studies · N = 9,598

Distribution

Storage scale (Fisher z)
Prior PDF · normalnormal distribution. Storage scale (Fisher z). 95% CI ≈ [0.472, 0.595]; mean ≈ 0.533.0.4080.4700.5330.5960.659z0density

mean ≈ 0.533 · 95% CI ≈ [0.472, 0.595]

Reader scale (r)
Prior PDF · normalnormal distribution. Reader scale (r). 95% CI ≈ [0.441, 0.535]; mean ≈ 0.488.0.3920.4400.4880.5360.584r0density

mean ≈ 0.488 · 95% CI ≈ [0.441, 0.535]

Intervals

Confidence interval (95%) — uncertainty about the mean ρ
[0.44, 0.53]
Credibility interval (95%) — distribution of the true effect across settings (the Bayesian prior)
[0.43, 0.54]
I² (heterogeneity) — share of total variance from between-study differences
69% — substantial heterogeneity

The true effect is ~constant across settings — it generalizes.

SD_ρ≈0 — true effect is ~constant across settings; generalizes (observed-score scale until artifact correction, PRN-058)

Evidence provenance

published ρ=0.49 (k=2, replication: meta-analytic); no primary-deployment evidence yet

Sourceρ (r)Scope
Published literature0.49k = 2 · N = 9,598

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 | 0.533323, 0.0314216);
beta = pm.Normal("beta", mu=0.533323, sigma=0.0314216)
brms::prior(normal(0.533323, 0.0314216), class = "b")
# base R sample
rnorm(N, mean = 0.533323, sd = 0.0314216)
np.random.normal(loc=0.533323, scale=0.0314216, size=N)

Parameters

FamilyParameters
normalI2 = 0.6890, mu = 0.5333, sigma = 0.03142, r_mean = 0.4879, k_studies = 2.000, tau_squared = 0.001287, fisher_z_bias = 0.01060, r_mean_bare_bones = 0.4773

Synthesis

Method
random_effects_meta
Informativeness
informative
Replication status
meta-analytic
k_studies
2
n_total
9,598
Last updated
2026-07-16T01:10:14.586Z

Quality distribution

GradeCount
A1
B1
C0
D0

Source articles

The research this prior is synthesized from — each is a full dossier (findings, the models it informs, and what the literature says).

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.