Registry · Priors

construct.transformational_leadership correlates construct.employee_motivation

normal · weakly_informative · 1 studies · N = 4,773

Distribution

Storage scale (Fisher z)
Prior PDF · normalnormal distribution. Storage scale (Fisher z). 95% CI ≈ [0.562, 0.619]; mean ≈ 0.590.0.5320.5610.5900.6190.648z0density

mean ≈ 0.590 · 95% CI ≈ [0.562, 0.619]

Reader scale (r)
Prior PDF · normalnormal distribution. Reader scale (r). 95% CI ≈ [0.510, 0.550]; mean ≈ 0.530.0.4880.5090.5300.5510.572r0density

mean ≈ 0.530 · 95% CI ≈ [0.510, 0.550]

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.

Historical evidence. This prior's contributing evidence is older than 15 years on average (centroid year 2004, ≈22 years old); treat the estimate as historical.

Intervals

Confidence interval (95%) — uncertainty about the mean ρ
[0.51, 0.55]
Credibility interval (95%) — distribution of the true effect across settings (the Bayesian prior)
— needs ≥2 studies to estimate (k = 1)
I² (heterogeneity) — share of total variance from between-study differences
— needs ≥2 studies to estimate

k<2 — between-study heterogeneity not estimable; credibility interval / generalization not assessed

Evidence provenance

published ρ=0.53 (k=1, replication: meta-analytic); no primary-deployment evidence yet

Sourceρ (r)Scope
Published literature0.53k = 1 · N = 4,773

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 | 0.590145, 0.0144791);
beta = pm.Normal("beta", mu=0.590145, sigma=0.0144791)
brms::prior(normal(0.590145, 0.0144791), class = "b")
# base R sample
rnorm(N, mean = 0.590145, sd = 0.0144791)
np.random.normal(loc=0.590145, scale=0.0144791, size=N)

Parameters

FamilyParameters
normalmu = 0.5901, sigma = 0.01448, r_mean = 0.5300, k_studies = 1.000, tau_squared = 0.000

Synthesis

Method
single_study
Informativeness
weakly_informative
Replication status
meta-analytic
k_studies
1
n_total
4,773
Last updated
2026-05-30T16:21:30.352Z

Quality distribution

GradeCount
A1
B0
C0
D0

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.