Table 6.

ML and Bayes parameter estimates with standard error for both causes.

	CRC				Other
	$a_1$	${\mathrm{\text{α}}}_1$	${\mathrm{\text{λ}}}_1$	${\mathrm{\text{β}}}_{11}$	$a_2$	${\mathrm{\text{α}}}_2$	${\mathrm{\text{λ}}}_2$	${\mathrm{\text{β}}}_{12}$
ML estimates
Estimate	0.038	0.294	0.097	0.047*	0.049	0.01	0.026	−0.026
S.E.	0.01	0.032	0.008	0.01	0.012	0.01	0.006	0.012
Bayes estimates (uniform prior)
SELF	0.233	0.471	0.205	−0.032	0.5	0.497	0.2	−25.635*
LLF p=1.5	0.203	0.415	0.194	−0.035	0.439	0.436	0.194	−126.374*
LLF p=−1.5	0.273	0.528	0.217	−0.029	0.562	0.558	0.217	−3.28*
SD	0.214	0.277	0.124	0.063	0.289	0.288	0.115	18.723
Bayes estimates (Jeffrey’s prior)
SELF	0.145	0.572	0.211	−0.005	0.975	0.984	0.838	−27.554*
LLF p=1.5	0.123	0.415	0.189	−0.008	0.458	0.465	0.189	−130.474*
LLF p=−1.5	0.18	0.856	0.237	−0.002	6.375	10.038	0.237	−3.614*
SD	0.188	0.527	0.178	0.068	1.341	1.44	1.121	18.562
Bayes estimates (Half-t prior)
SELF	0.271	0.693	0.206	−0.039	24.298	12.214	5.582	−46.925*
LLF p=1.5	0.192	0.527	0.188	−0.042	2.565	2.131	0.188	−141.798*
LLF p=−1.5	1.168	1.074	0.227	−0.036	196.998	69.696	0.227	−8.706*
SD	0.466	0.556	0.161	0.064	22.155	10.119	4.788	19.473

*Significant effect.

${\mathrm{\text{β}}}_{j1}$ = Regression coefficient of BMI for cause j.