Table 6.

Bayesian parameter estimates for the BSOI-NN and BSOI-IN models in the analysis of the ADNI datasetwithoutthe instrumental variable, educational level.

Covariates	Para	BSOI-NN		BSOI-IN
		Est	SD	Est	SD
Scalar on image regression
eigenimage 1	β1	0.653*	0.155	0.497*	0.129
eigenimage 2	β2	0.600*	0.171	0.326*	0.124
eigenimage 3	β3	0.547*	0.160	0.236*	0.115
eigenimage 4	β4	0.408*	0.180	0.071	0.131
eigenimage 5	β5	0.767*	0.182	0.407*	0.130
gender	γ1	−0.050	0.325	−0.132	0.277
age	γ2	0.047*	0.019	0.023	0.020
educational level	γ3
race	γ4	0.050	0.500	−0.121	0.456
whether ever married	γ5	−2.556*	0.897	−1.327	0.802
APOE4	γ6	−0.523	0.198	−0.357	0.174
whether have MCI or AD	γ7	−3.314*	0.379	−2.357*	0.236
Exponential tilting model
eigenimage 1	βr1	0.108	0.168
eigenimage 2	βr2	−0.112	0.179
eigenimage 3	βr3	− 0.245	0.156
eigenimage 4	βr4	−0.282	0.152
eigenimage 5	βr5	−0.060	0.208
gender	γ r1	−0.003	0.373
age	γ r2	0.012	0.019
race	γr3	− 0.483	0.581
whether ever married	γr4	0.118	0.795
APOE4	γr5	−0.051	0.222
whether have MCI or AD	γr6	− 0.648	0.777
learning score	φ	−1.046*	0.429

^*Zero is not contained in the 95% credibility interval