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Table 4 Heidelberger and welch test for the bayesian bernoulli-exponential model and for the gaussian non-informative prior

From: A Bayesian Bernoulli-Exponential joint model for binary longitudinal outcomes and informative time with applications to bladder cancer recurrence data

Sample Size and Design Structure

Parameter

Stationarity Test

P-value

Halfwidth Test

Halfwidth

18(5 &3)

\(\alpha _{1}\)

passed

0.4006

passed

0.1123

\(\alpha _{2}\)

passed

0.0614

passed

0.0455

\(\alpha _{3}\)

passed

0.4879

passed

0.0637

\(\alpha _{4}\)

passed

0.3864

passed

0.0608

\(\alpha _{5}\)

passed

0.4574

passed

0.0581

\(\alpha _{6}\)

passed

0.5380

passed

0.0352

\(\alpha _{7}\)

passed

0.5282

passed

0.0186

\(\gamma\)

passed

0.7625

passed

0.0174

\(\psi\)

passed

0.0907

passed

0.0293

\(\vartheta\)

passed

0.1241

passed

0.0088

\(\xi\)

passed

0.7724

passed

0.0145

54(10)

\(\alpha _{1}\)

passed

0.0848

passed

0.0273

\(\alpha _{2}\)

passed

0.1003

passed

0.0143

\(\alpha _{3}\)

passed

0.1271

passed

0.0161

\(\alpha _{4}\)

passed

0.1238

passed

0.0154

\(\alpha _{5}\)

passed

0.0608

passed

0.0166

\(\alpha _{6}\)

passed

0.1927

passed

0.0046

\(\alpha _{7}\)

passed

0.0774

passed

0.0036

\(\gamma\)

passed

0.4427

passed

0.0072

\(\psi\)

passed

0.4846

passed

0.0108

\(\vartheta\)

passed

0.9191

passed

0.0017

\(\xi\)

passed

0.5784

passed

0.0068

180(20 &6)

\(\alpha _{1}\)

passed

0.6816

passed

0.0126

\(\alpha _{2}\)

passed

0.1511

passed

0.0059

\(\alpha _{3}\)

passed

0.3521

passed

0.0057

\(\alpha _{4}\)

passed

0.7916

passed

0.0061

\(\alpha _{5}\)

passed

0.3541

passed

0.0065

\(\alpha _{6}\)

passed

0.2298

passed

0.0012

\(\alpha _{7}\)

passed

0.6382

passed

0.0019

\(\gamma\)

passed

0.2806

passed

0.0035

\(\psi\)

passed

0.0817

passed

0.0055

\(\vartheta\)

passed

0.1450

passed

0.0008

\(\xi\)

passed

0.3527

passed

0.0031