Table 4. Open in new tab Bayesian and... | Oxford Academic

Table 4.

Open in new tab

Bayesian and Frequentist decision in the lesian count data where “1” stands for the rejection and “0” stands for acceptance of the null hypothesis. Also posterior probabilities are reported under different priors.

	Posterior probabilities					Decision
	Conjugate		Non-conjugate			Conjugate		Non-conjugate
\|$\theta$\|	Non-informative	Informative	Non-informative	Informative	Frequentist decision	Non-informative	Informative	Non-informative	Informative
1-year data
0.80	0.102	0.717	0.220	0.152	0	0	0	0	0
0.75	0.198	0.786	0.275	0.220	0	0	0	0	0
0.70	0.322	0.859	0.310	0.291	0	0	0	0	0
0.65	0.461	0.925	0.350	0.398	0	0	0	0	0
0.60	0.590	0.957	0.384	0.615	0	0	0	0	0
0.55	.00717	0.976	0.413	0.845	0	0	1	0	0
0.50	0.829	0.988	0.445	0.976	0	0	1	0	1
2-year data
0.80	0.262	0.226	0.266	0.280	0	0	0	0	0
0.75	0.481	0.456	0.302	0.456	0	0	0	0	0
0.70	0.705	0.729	0.336	0.650	0	0	0	0	0
0.65	0.847	0.902	0.355	0.821	0	0	0	0	0
0.60	0.930	0.979	0.381	0.913	0	0	1	0	0
0.55	0.983	0.998	0.404	0.963	1	1	1	0	0
0.50	0.994	0.999	0.431	0.990	1	1	1	0	1

	Posterior probabilities					Decision
	Conjugate		Non-conjugate			Conjugate		Non-conjugate
\|$\theta$\|	Non-informative	Informative	Non-informative	Informative	Frequentist decision	Non-informative	Informative	Non-informative	Informative
1-year data
0.80	0.102	0.717	0.220	0.152	0	0	0	0	0
0.75	0.198	0.786	0.275	0.220	0	0	0	0	0
0.70	0.322	0.859	0.310	0.291	0	0	0	0	0
0.65	0.461	0.925	0.350	0.398	0	0	0	0	0
0.60	0.590	0.957	0.384	0.615	0	0	0	0	0
0.55	.00717	0.976	0.413	0.845	0	0	1	0	0
0.50	0.829	0.988	0.445	0.976	0	0	1	0	1
2-year data
0.80	0.262	0.226	0.266	0.280	0	0	0	0	0
0.75	0.481	0.456	0.302	0.456	0	0	0	0	0
0.70	0.705	0.729	0.336	0.650	0	0	0	0	0
0.65	0.847	0.902	0.355	0.821	0	0	0	0	0
0.60	0.930	0.979	0.381	0.913	0	0	1	0	0
0.55	0.983	0.998	0.404	0.963	1	1	1	0	0
0.50	0.994	0.999	0.431	0.990	1	1	1	0	1

Table 4.

Open in new tab

Bayesian and Frequentist decision in the lesian count data where “1” stands for the rejection and “0” stands for acceptance of the null hypothesis. Also posterior probabilities are reported under different priors.

	Posterior probabilities					Decision
	Conjugate		Non-conjugate			Conjugate		Non-conjugate
\|$\theta$\|	Non-informative	Informative	Non-informative	Informative	Frequentist decision	Non-informative	Informative	Non-informative	Informative
1-year data
0.80	0.102	0.717	0.220	0.152	0	0	0	0	0
0.75	0.198	0.786	0.275	0.220	0	0	0	0	0
0.70	0.322	0.859	0.310	0.291	0	0	0	0	0
0.65	0.461	0.925	0.350	0.398	0	0	0	0	0
0.60	0.590	0.957	0.384	0.615	0	0	0	0	0
0.55	.00717	0.976	0.413	0.845	0	0	1	0	0
0.50	0.829	0.988	0.445	0.976	0	0	1	0	1
2-year data
0.80	0.262	0.226	0.266	0.280	0	0	0	0	0
0.75	0.481	0.456	0.302	0.456	0	0	0	0	0
0.70	0.705	0.729	0.336	0.650	0	0	0	0	0
0.65	0.847	0.902	0.355	0.821	0	0	0	0	0
0.60	0.930	0.979	0.381	0.913	0	0	1	0	0
0.55	0.983	0.998	0.404	0.963	1	1	1	0	0
0.50	0.994	0.999	0.431	0.990	1	1	1	0	1

	Posterior probabilities					Decision
	Conjugate		Non-conjugate			Conjugate		Non-conjugate
\|$\theta$\|	Non-informative	Informative	Non-informative	Informative	Frequentist decision	Non-informative	Informative	Non-informative	Informative
1-year data
0.80	0.102	0.717	0.220	0.152	0	0	0	0	0
0.75	0.198	0.786	0.275	0.220	0	0	0	0	0
0.70	0.322	0.859	0.310	0.291	0	0	0	0	0
0.65	0.461	0.925	0.350	0.398	0	0	0	0	0
0.60	0.590	0.957	0.384	0.615	0	0	0	0	0
0.55	.00717	0.976	0.413	0.845	0	0	1	0	0
0.50	0.829	0.988	0.445	0.976	0	0	1	0	1
2-year data
0.80	0.262	0.226	0.266	0.280	0	0	0	0	0
0.75	0.481	0.456	0.302	0.456	0	0	0	0	0
0.70	0.705	0.729	0.336	0.650	0	0	0	0	0
0.65	0.847	0.902	0.355	0.821	0	0	0	0	0
0.60	0.930	0.979	0.381	0.913	0	0	1	0	0
0.55	0.983	0.998	0.404	0.963	1	1	1	0	0
0.50	0.994	0.999	0.431	0.990	1	1	1	0	1