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. Author manuscript; available in PMC: 2021 Jan 20.
Published in final edited form as: J Alzheimers Dis. 2020;76(2):539–551. doi: 10.3233/JAD-191192

Table 6.

Parameter estimates of mixed-effects ordinal regression analyses for All dementia and AD only occurrence and linear mixed-effects regression analyses for age at onset of All dementia and AD only

a) Mixed Ordinal Regression Results for Disease Occurrence
All Dementia Alzheimer’s Disease Only
Model 1 Model 2 Model 3 Model 1 Model 2 Model 3
Model Parameters Estimate SE Estimate SE Estimate SE Estimate SE Estimate SE Estimate SE
Fixed Effects
Intercept 0.24 0.12 −0.21 0.12 −0.18 0.13 −0.84 0.18 −1.38 0.19 −1.33 0.21
Sex 0.27 0.13 0.28 0.13 0.24 0.15 0.72 0.19 0.71 0.18 0.63 0.22
APOE4 - - 1.21 0.14 1.14 0.20 - - 1.64 0.21 1.51 0.29
Sex*APOE4 - - - - 0.13 0.25 - - - - 0.23 0.34
Random Effects
σ2Intercept 1.74 0.48 1.22 0.41 1.24 0.41 3.63 1.13 2.71 0.94 3.32 1.06
Fit Statistics
Deviance 2281.40 (5) 2182.16 (6) 2181.91 (7) 1690.03 (5) 1589.83 (6) 1589.35 (7)
AIC −1145.70 −1097.08 −1097.96 −850.01 −800.91 −801.68
BIC −1158.45 −1112.38 −1115.81 −862.32 −815.68 −818.90
b) Mixed Effects Regression Results for Age at Onset
All Dementia Alzheimer’s Disease Only
Model 1 Model 2 Model 3 Model 1 Model 2 Model 3
Model Parameters Estimate SE Estimate SE Estimate SE Estimate SE Estimate SE Estimate SE
Fixed Effects
Intercept 79.30 0.38 80.11 0.42 79.83 0.48 79.23 0.54 80.09 0.59 80.08 0.68
Sex −0.12 0.46 −0.14 0.45 0.29 0.57 −0.81 0.61 −0.85 0.61 −0.84 0.79
APOE4 - - −1.65 0.35 −1.10 0.57 - - −1.58 0.45 −1.57 0.78
Sex*APOE4 - - - - −0.87 0.72 - - - - −0.02 0.95
Random Effects
σ2Intercept 8.43 - 8.03 - 7.91 - 12.54 - 12.22 - 12.22 -
σ2Residual 32.99 - 32.41 - 32.46 - 28.35 - 27.77 - 27.77 -
Fit Statistics
Deviance (df) 6010.90 (6) 5989.20 (7) 5987.70 (8) 3542.90 (6) 3530.90 (7) 3530.90 (8)
Δχ2df - 21.70 (1) 1.50 (1) - 12.00 (1) 0.001 (1)
p-value - < .001 .221 - < .001 .981
AIC 6022.90 6003.20 6003.70 3554.90 3544.90 3546.90
BIC 6051.90 6036.90 6042.30 3580.70 3575.00 3581.30

Notes. In the models in Section a, odds ratios can be ascertained by exponentiating parameter estimates. AIC = Akaike Information Criterion; BIC = Bayesian Information Criterion.