Table 3. Summary of posterior distributions for Model 2 (city-level effects)

Parameter Mean SD 5% HDI 95% HDI MCSE mean MCSE SD R-hat
α[Seoul] 0.0105 0.0048 0.0027 0.0183 0.000118 0.000169 1.00
α[Busan] 0.0022 0.0049 –0.0062 0.0097 0.000182 0.000129 1.00
α[Daegu] 0.0022 0.0052 –0.0056 0.0109 0.000189 0.000133 1.00
α[Incheon] 0.0016 0.0050 –0.0064 0.0099 0.000183 0.000128 1.00
α[Gwangju] –0.0058 0.0053 –0.0142 0.0027 0.000178 0.000122 1.00
α[Daejeon] –0.0073 0.0056 –0.0165 0.0016 0.000174 0.000132 0.99
α[Ulsan] –0.0049 0.0056 –0.0140 0.0039 0.000178 0.000127 1.00
β0 (intercept) 0.0101 0.0002 0.0098 0.0104 0.000003 0.000002 0.99
β1 (national-level momentum effect) –0.4397 0.0421 –0.4462 –0.4328 0.000179 0.000127 1.00
σ (residual SD) 0.1059 0.0001 0.1057 0.1061 0.000000 0.000000 0.99
σα (city-level momentum effect SD) 0.0093 0.0048 0.0033 0.0155 0.000160 0.000113 1.00
Note: This table reports the posterior summaries for the Model 2. The posterior mean and SD represent the central tendency and dispersion of the estimated parameters. The 5% and 95% highest density intervals (HDIs) define the central 90% credible region for each parameter. Monte Carlo standard errors (MCSE) assess the numerical accuracy of the posterior mean and SD estimates. R-hat values close to 1 indicate satisfactory convergence across Markov chain Monte Carlo (MCMC) chains. The parameter α[city] denotes the city-level momentum effect.