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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.