# Binary logistic regression: interpretation of regression coefficients

I have performed a logistic regression with whether or not an athlete was re-contracted by their sports team as the DV. One of the significant predictors of the final model was draft order (OR 0.888).

Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept)                     -120.69457   46.78377  -2.580 0.009885 **
Debut.first.year                   0.67977    0.21772   3.122 0.001795 **
Grouped.by.fives                  -0.11849    0.02361  -5.019 5.21e-07 ***
Draft.year                         0.06109    0.02334   2.617 0.008863 **
Maturity                          -0.65844    0.40981  -1.607 0.108118
Games.second.season.DC             1.87716    0.34011   5.519 3.40e-08 ***
Interstate.vic.team                0.47625    0.19390   2.456 0.014044 *
Rising.star                        1.50635    0.44429   3.390 0.000698 ***
Team.EOS.ladder.second.year.raw   -0.04403    0.02062  -2.135 0.032728 *


I understand that this indicates that being selected later in the draft results in a reduced odds of being re-contracted. There are 8 predictors overall therefore my question is, does this indicate that being selected later in the draft results in a reduced odds of being re-contracted when all other predictors are held constant? Does this then mean that draft order is associated with being re-contracted irrespective of rising star nomination, maturity, draft year etc?

The text books I have read and online forums are quite vague and I am struggling to understand the relationship between the regression coefficients.

Thank you!

No, what you are doing is forced entry regression, to be able to interpret it as you did, you will need a hierarchical regression. So you should first fit a model without draft order and then fit a model with draft order and compare if the fit is significantly better in the second case. If it is, you can then look at how much additional variability is being explained by including draft order.

• What does the OR for draft order tell me then? Feb 29, 2016 at 22:09