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 |