Registry · Priors

construct.servant_leadership predicts construct.organizational_commitment

normal · weakly_informative · 2 studies · N = 17,457

Distribution

Storage scale (Fisher z)
Prior PDF · normalnormal distribution. Storage scale (Fisher z). 95% CI ≈ [0.561, 0.778]; mean ≈ 0.670.0.4480.5590.6700.7810.891z0density

mean ≈ 0.670 · 95% CI ≈ [0.561, 0.778]

Reader scale (r)
Prior PDF · normalnormal distribution. Reader scale (r). 95% CI ≈ [0.513, 0.656]; mean ≈ 0.585.0.4390.5120.5850.6580.731r0density

mean ≈ 0.585 · 95% CI ≈ [0.513, 0.656]

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
[0.51, 0.65]
Credibility interval (95%) — distribution of the true effect across settings (the Bayesian prior)
[0.48, 0.68]
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=0.58 (k=2, high heterogeneity (I²=0.98)); no primary-deployment evidence yet

Sourceρ (r)Scope
Published literature0.58k = 2 · N = 17,457

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 | 0.669659, 0.0554573);
beta = pm.Normal("beta", mu=0.669659, sigma=0.0554573)
brms::prior(normal(0.669659, 0.0554573), class = "b")
# base R sample
rnorm(N, mean = 0.669659, sd = 0.0554573)
np.random.normal(loc=0.669659, scale=0.0554573, size=N)

Parameters

FamilyParameters
normalI2 = 0.9812, mu = 0.6697, sigma = 0.05546, r_mean = 0.5848, k_studies = 2.000, tau_squared = 0.006035, fisher_z_bias = -0.002644, r_mean_bare_bones = 0.5874

Synthesis

Method
random_effects_meta
Informativeness
weakly_informative
Replication status
meta-analytic
k_studies
2
n_total
17,457
Last updated
2026-07-16T01:06:28.329Z

Quality distribution

GradeCount
A2
B0
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.