Table 3.
Estimated log risk ratio for neonatal mortality due to RF and mean square error under varying true direct and indirect effects of RF on neonatal mortality, and varying direct effects of U on neonatal mortality; the effect of RF on birthweight is fixed at -200 g and the effect of U on birthweight is fixed at -600 g
Parameter values |
True effects |
Estimates - ADJUSTED MODELa |
Estimates - UNADJUSTED MODELb |
||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
bc | dd | ee | ΘIf | ΘDg | ΘTh | β̂RF|BW | β̂RF|BW-θD | MSE | β̂RF | β̂RF-θT | MSE |
0 | 0 | 0 | 0 | -0.054 | -0.054 | 0.020 | -0.001 | -0.001 | 0.015 | ||
0.2 | 0 | 0.2 | 0.2 | 0 | 0.148 | -0.052 | 0.018 | 0.200 | 0.000 | 0.013 | |
0.4 | 0.4 | 0.4 | 0.4 | 0 | 0.347 | -0.053 | 0.016 | 0.400 | 0.000 | 0.011 | |
0 | 0.2 | 0 | 0.2 | -0.069 | -0.069 | 0.091 | 0.193 | -0.007 | 0.072 | ||
0.2 | -0.0005 | 0.4 | 0.2 | 0.2 | 0.129 | -0.071 | 0.079 | 0.388 | -0.012 | 0.064 | |
0.4 | 0.6 | 0.4 | 0.2 | 0.334 | -0.066 | 0.069 | 0.594 | -0.006 | 0.054 | ||
0 | 0 | 0 | 0 | -0.314 | -0.314 | 0.111 | -0.004 | -0.004 | 0.011 | ||
0.2 | 0 | 0.2 | 0.2 | 0 | -0.111 | -0.311 | 0.108 | 0.199 | -0.001 | 0.009 | |
1.6 | 0.4 | 0.4 | 0.4 | 0 | 0.089 | -0.311 | 0.107 | 0.399 | -0.001 | 0.008 | |
0 | 0.2 | 0 | 0.2 | -0.350 | -0.350 | 0.183 | 0.190 | -0.010 | 0.052 | ||
0.2 | -0.0005 | 0.4 | 0.2 | 0.2 | -0.145 | -0.345 | 0.171 | 0.391 | -0.009 | 0.044 | |
0.4 | 0.6 | 0.4 | 0.2 | 0.060 | -0.340 | 0.163 | 0.598 | -0.002 | 0.039 |
Adjusted model includes birthweight (BW) and risk factor (RF) as independent variables.
Unadjusted model includes only RF as an independent variable.
b = log (p[NM = 1|U = 1]/p[NM = 1|U = 0]).
d = log (p[NM = 1|bw = k + 1]/p[NM = 1|bw = k]).
e = E[bw|RF = 1] - E[bw|RF = 0] = -200 g.
ΘI: the indirect effect of RF=d * e.
c ≡ ΘD=log (p[NM=1|RF=1]/p[NM=1|RF=0]).
ΘT: the total effect of RF=c+(d * e).