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Table 3 Summary of four binary logistic models

From: Bayesian random effects modelling with application to childhood anaemia in Malawi

Variable Model 1 Model 2 Model 3 Model 4
Coeffecient Coeffecient Coeffecient Coeffecient
(95% CI) (95% CI) (95% CI) (95% CI)
Constant 2.236* (1.730 2.742) 0.781* (0.454 1.107) 2.081* (1.495 2.666) 0.597* (0.164 1.030)
Residence     
Rural _ _ _ _
Urban −0.206 (−0.465 0.053) −0.193 (−0.453 0.068) −0.118 (−0.395 0.158) −0.104 (−0.381 0.173)
Child sex     
Female _ _ _ _
Male 0.068 (−0.075 0.211) 0.066 (−0.077 0.209) 0.085 (−0.061 0.228) 0.080 (−0.065 0.224)
Mother education     
No education _ _ _ _
Primary −0.275* (−0.486 −0.065) −0.275* (−0.485 −0.065) −0.116 (−0.334 0.101) −0.118 (−0.335 0.099)
Secondary −0.372* (−0.667 −0.076) −0.369* (−0.666 −0.072) −0.190 (−0.493 0.113) −0.192 (−0.497 0.112)
Higher 0.258 (−1.124 1.640) 0.254 (−1.135 1.642) 0.453 (−0.910 1.817) 0.436 (−0.936 1.808)
Wealth index     
Poorest _ _ _ _
Poor −0.154 (−0.380 0.071) −0.147 (−0.373 0.079) −0.153 (−0.382 0.076) −0.148 (−0.377 0.082)
Rich −0.137 (−0.364 0.090) −0.139 (−0.366 0.089) −0.122 (−0.353 0.110) −0.122 (−0.355 0.110)
Richer −0.223 (−0.459 0.014) −0.215 (−0.452 0.021) −0.207 (−0.449 0.035) −0.199 (−0.442 0.043)
Richest −0.475* (−0.753 −0.197) −0.468* (−0.747 −0.189) −0.489* (−0.775 −0.203) −0.481* (−0.768 −0.194)
Fever     
No _ _ _ _
Yes 0.454* (0.286 0.621) 0.449* (0.281 0.617) 0.448* (0.277 0.620) 0.442* (0.270 0.614)
Cough     
No _ _ _ _
Yes −0.013 (−0.187 0.161) −0.019 (−0.194 0.156) 0.035 (−0.143 0.213) 0.028 (−0.151 0.207)
Vitamin A     
No _ _ _ _
Yes −0.154 (−0.377 0.069) −0.117 (−0.341 0.107) −0.118 (−0.346 0.110) −0.082 (−0.311 0.147)
Stunting     
No _ _ _ _
Yes 0.265* (0.107 0.422) 0.288* (0.129 0.446) 0.291* (0.131 0.450) 0.314* (0.153 0.474)
Underweight     
No _ _ _ _
Yes 0.108 (−0.103 0.318) 0.100 (−0.110 0.310) 0.102 (−0.111 0.315) 0.098 (−0.115 0.311)
Wasting     
No _ _ _ _
Yes 0.331 (−0.107 0.768) 0.324 (−0.116 0.764) 0.315 (−0.128 0.759) 0.309 (−0.136 0.755)
Mother anaemia     
No _ _ _ _
Yes 0.681* (0.461 0.901) 0.686* (0.466 0.906) 0.601* (0.377 0.824) 0.605* (0.382 0.828)
Child age −0.034* (−0.040 −0.029)   −0.035* (−0.041 −0.029)  
Months of breast feeding −0.012 (−0.025 0.000)   −0.013 (−0.025 −0.001)  
Mother age −0.004 (−0.015 0.008)   −0.003 (−0.015 0.008)  
Variance Components     
Spatial effect    0.6348 2.275
Non-linear effects     
Child age \( {\tau}_c^2 \)   0.115   0.119
Mother age \( {\tau}_m^2 \)   0.128   0.147
Breast Feeding \( {\tau}_{bf}^2 \)   0.000   0.000
Model fit     
AIC 4461.33 4443.66 4402.42 4386.81
GCV 1.20699 1.20258 1.18882 1.18489
  1. Model 1(fixed effects), Model 2(fixed plus non linear effects), Model 3(fixed and spatial effects), and Model 4(geo-additive). _ means reference category, and * means significant at 5% significance level.