Bayesian and Frequentist Analytical Approaches Using Log-Normal and Gamma Frailty Parametric Models for Breast Cancer Mortality

Table 4

Weibull with log-normal frailty (Model 2).

Variables	Weibull with log-normal frailty
	Frequentist			Bayesian approach
	HR	2.5%	97.5%	HR	2.5%	97.5%
Sex
Female	Ref
Male	0.95	0.63	1.43	1.36	1.03	1.76
Age	0.99	0.99	1.00	1.00	1.00	1.01
Marital status
Divorced	Ref
Married	1.38	1.05	1.83	0.79	0.66	0.96
Single	1.08	0.75	1.57	0.79	0.63	0.99
Widowed	1.55	1.12	2.14	0.72	0.59	0.90
Topography
C50.0 nipple	Ref
C50.1 central portion of breast	1.01	0.68	1.50	1.14	0.90	1.45
C50.2 upper-inner quadrant of breast	1.06	0.75	1.51	1.16	0.93	1.44
C50.3 lower-inner quadrant of breast	0.95	0.64	1.40	1.23	0.97	1.57
C50.4 upper-outer quadrant of breast	1.01	0.75	1.35	1.12	0.92	1.37
C50.5 lower-outer quadrant of breast	1.02	0.69	1.52	1.02	0.82	1.29
C50.6 axillary tail of breast	0.39	0.18	0.82	1.11	0.77	1.57
C50.8 overl. lesion of breast	0.83	0.62	1.11	1.13	0.92	1.38
C50.9 breast, NOS	0.74	0.56	0.97	1.16	0.96	1.42
Grade
B-Cell	Ref
Grade I (Well diff)	7.27	3.38	15.64	1.02	0.59	1.87
Grade II (Mod diff)	8.09	3.97	16.51	1.02	0.59	1.86
Grade III (Poor diff)	6.03	2.97	12.26	1.05	0.61	1.92
Grade IV (Undiff anaplastic)	5.55	2.52	12.19	0.92	0.52	1.74
Laterality
Bilateral invasive	Ref
Left	0.95	0.63	1.43	1.06	0.80	1.43
Paired site, late	0.81	0.37	1.80	2.65	1.20	5.35
Right	0.96	0.64	1.45	1.03	0.78	1.39
Extent
Distant metastasis	Ref
Localised	1.73	1.46	2.07	0.90	0.82	0.99
Regional	1.61	1.43	1.80	0.88	0.80	0.96
Theta	0.0013			5.2