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Table 4 RRs and ORs and corresponding CIs of associations between a common event (incidence = 50%) and three independent variables, estimated by Log-binomial regression, ordinary logistic regression, Cox regression with robust variance and logistic regression with the proposed modification

From: A simple method for estimating relative risk using logistic regression

Independent
variable
Log-binomial
regression: RR
(CI)
Logistic
regression: OR
(CI)
Cox
regression -
robust: RR
(CI)
Modified
Logistic
regression: RR
(CI)
Predictor A     
   Unadjusted 3 (2.48 - 3.62) 7.27 (5.44 - 9.72) 3 (2.48 - 3.62) 3 (2.31 - 3.89)
   Adjusted * 1.9 (1.58 - 2.28) 4.07 (2.88 - 5.74) 1.89 (1.56 - 2.28) 1.88 (1.41 - 2.51)
Predictor B     
   Unadjusted 3.9 (3.26 - 4.67) 15.23 (11.19 - 20.71) 3.9 (3.26 - 4.67) 3.9 (3.04 - 5.01)
   Adjusted * 3.08 (2.56 - 3.72) 10.97 (7.95 - 15.14) 3.09 (2.56 - 3.72) 3.09 (2.36 - 4.04)
Predictor C     
   Unadjusted 1.25 (1.1 - 1.41) 1.57 (1.22 - 2.03) 1.25 (1.1 - 1.41) 1.25 (1 - 1.55)
   Adjusted * 1.02 (0.95 - 1.1) 1.12 (0.8 - 1.57) 1.05 (0.96 - 1.15) 1.06 (0.84 - 1.34)
  1. * Adjusted by the other independent variables.