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. Author manuscript; available in PMC: 2009 Sep 14.
Published in final edited form as: Paediatr Perinat Epidemiol. 2009 Sep;23(5):394–402. doi: 10.1111/j.1365-3016.2009.01053.x

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|BWD MSE β̂RF β̂RFT 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
a

Adjusted model includes birthweight (BW) and risk factor (RF) as independent variables.

b

Unadjusted model includes only RF as an independent variable.

c

b = log (p[NM = 1|U = 1]/p[NM = 1|U = 0]).

d

d = log (p[NM = 1|bw = k + 1]/p[NM = 1|bw = k]).

e

e = E[bw|RF = 1] - E[bw|RF = 0] = -200 g.

f

ΘI: the indirect effect of RF=d * e.

g

c ≡ ΘD=log (p[NM=1|RF=1]/p[NM=1|RF=0]).

h

ΘT: the total effect of RF=c+(d * e).