Table 3 Results from Metropolis-Hastings...

Table 3

Results from Metropolis-Hastings (parameters)

	Prior			Posterior
	Dist	Param. 1	Param. 2	Mean	Stdev	HPD inf	HPD sup
ρ^r	beta	0.500	0.2000	0.138	0.0773	0.0152	0.2512
ρ^AT	beta	0.500	0.2000	0.681	0.1523	0.4615	0.8968
ρ^AN	beta	0.500	0.2000	0.763	0.1005	0.6203	0.8977
ρ^AC	beta	0.500	0.2000	0.626	0.1694	0.3773	0.8872
ϕ^T	gamm	10.000	5.0000	27.091	6.1498	17.1666	36.8822
ϕ^N	gamm	10.000	5.0000	26.413	6.0715	16.6146	36.1145
ϕ^CM	gamm	10.000	5.0000	21.906	5.8056	12.2687	30.8925
η^T	gamm	2.000	1.0000	1.703	0.8075	0.4597	2.8967
η^N	gamm	2.000	1.0000	2.823	1.1384	0.9981	4.6068
η^CM	gamm	2.000	1.0000	1.950	0.9855	0.4659	3.3853
ι^T	gamm	10.000	5.0000	3.247	2.2132	0.4258	6.2257
ι^N	gamm	10.000	5.0000	7.709	3.7369	2.0169	13.5069
ι^C	gamm	10.000	5.0000	14.170	5.5727	5.2590	22.5931

	Prior			Posterior
	Dist	Param. 1	Param. 2	Mean	Stdev	HPD inf	HPD sup
ρ^r	beta	0.500	0.2000	0.138	0.0773	0.0152	0.2512
ρ^AT	beta	0.500	0.2000	0.681	0.1523	0.4615	0.8968
ρ^AN	beta	0.500	0.2000	0.763	0.1005	0.6203	0.8977
ρ^AC	beta	0.500	0.2000	0.626	0.1694	0.3773	0.8872
ϕ^T	gamm	10.000	5.0000	27.091	6.1498	17.1666	36.8822
ϕ^N	gamm	10.000	5.0000	26.413	6.0715	16.6146	36.1145
ϕ^CM	gamm	10.000	5.0000	21.906	5.8056	12.2687	30.8925
η^T	gamm	2.000	1.0000	1.703	0.8075	0.4597	2.8967
η^N	gamm	2.000	1.0000	2.823	1.1384	0.9981	4.6068
η^CM	gamm	2.000	1.0000	1.950	0.9855	0.4659	3.3853
ι^T	gamm	10.000	5.0000	3.247	2.2132	0.4258	6.2257
ι^N	gamm	10.000	5.0000	7.709	3.7369	2.0169	13.5069
ι^C	gamm	10.000	5.0000	14.170	5.5727	5.2590	22.5931

Note(s): Posterior statistics are generated using 2 millions draws from the posterior distribution. For uniform prior distributions, “Param. 1” and “Param. 2” refer to the lower and upper bound of the support of the distribution, respectively. For Beta, Gamma and Inverse Gamma distributions, they refer to the mean and standard deviation, respectively

Source(s): Prepared by the authors

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