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Table 2 Prior distributions for ABC in the simulation studies

From: Simulation-based estimation of mean and standard deviation for meta-analysis via Approximate Bayesian Computation (ABC)

Distribution

Parameter 1

Prior for parameter 1

Parameter 2

Prior for parameter 2

Normal (S1)

μ

Uniform (Xmin, Xmax)

σ

Uniform(0,50)

Normal (S2)

μ

Uniform (XQ1, XQ3)

σ

Uniform(0,50)

Normal (S3)

μ

Uniform (XQ1, XQ3)

σ

Uniform(0,50)

Log-normal (S1)

μ

Uniform (log(Xmin), log(Xmax))

σ

Uniform(0,10)

Log-normal (S2)

μ

Uniform (log(XQ1), log(XQ3))

σ

Uniform(0,10)

Log-normal (S3)

μ

Uniform (log(XQ1), log(XQ3))

σ

Uniform(0,10)

Exponential

λ

Uniform(0,40)

-

-

Beta

α

Uniform(0,40)

β

Uniform(0,40)

Weibull

λ

Uniform(0,50)

κ

Uniform(0,50)