Registry · Priors

construct.work_engagement predicts construct.task_performance

normal · highly_informative · 6 studies · N = 84,331

Distribution

Storage scale (Fisher z)
Prior PDF · normalnormal distribution. Storage scale (Fisher z). 95% CI ≈ [0.450, 0.531]; mean ≈ 0.490.0.4080.4490.4900.5320.573z0density

mean ≈ 0.490 · 95% CI ≈ [0.450, 0.531]

Reader scale (r)
Prior PDF · normalnormal distribution. Reader scale (r). 95% CI ≈ [0.423, 0.486]; mean ≈ 0.455.0.3890.4220.4550.4870.520r0density

mean ≈ 0.455 · 95% CI ≈ [0.423, 0.486]

Intervals

Confidence interval (95%) — uncertainty about the mean ρ
[0.42, 0.49]
Credibility interval (95%) — distribution of the true effect across settings (the Bayesian prior)
[0.39, 0.52]
I² (heterogeneity) — share of total variance from between-study differences
89%

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=0.45 (k=6, high heterogeneity (I²=0.89)); no primary-deployment evidence yet

Sourceρ (r)Scope
Published literature0.45k = 6 · N = 84,331

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 | 0.490455, 0.0205232);
beta = pm.Normal("beta", mu=0.490455, sigma=0.0205232)
brms::prior(normal(0.490455, 0.0205232), class = "b")
# base R sample
rnorm(N, mean = 0.490455, sd = 0.0205232)
np.random.normal(loc=0.490455, scale=0.0205232, size=N)

Parameters

FamilyParameters
normalI2 = 0.8924, mu = 0.4905, sigma = 0.02052, r_mean = 0.4546, k_studies = 6.000, tau_squared = 0.001640

Synthesis

Method
random_effects_meta
Informativeness
highly_informative
Replication status
meta-analytic
k_studies
6
n_total
84,331
Last updated
2026-05-30T22:23:38.631Z

Quality distribution

GradeCount
A6
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.