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Table 2 RRs and ORs and corresponding CIs of associations between a rare event (incidence = 5%) 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

6 (2.4 - 14.98)

6.41 (2.52 - 16.28)

6 (2.4 - 14.99)

6 (2.36 - 15.25)

   Adjusted *

4.96 (1.89 - 12.98)

5.26 (1.97 - 14.06)

4.97 (1.91 - 12.92)

4.99 (1.86 - 13.34)

Predictor B

    

   Unadjusted

2.57 (1.4 - 4.71)

2.69 (1.43 - 5.06)

2.57 (1.4 - 4.71)

2.57 (1.37 - 4.83)

   Adjusted *

1.59 (0.85 - 2.97)

1.64 (0.85 - 3.18)

1.59 (0.84 - 3.01)

1.59 (0.82 - 3.09)

Predictor C

    

   Unadjusted

1.28 (0.74 - 2.2)

1.29 (0.73 - 2.29)

1.28 (0.74 - 2.2)

1.28 (0.72 - 2.26)

   Adjusted *

0.98 (0.57 - 1.69)

0.97 (0.54 - 1.74)

0.97 (0.57 - 1.65)

0.96 (0.54 - 1.72)

  1. * Adjusted by the other independent variables.