Classification of Cases and Odds Ratio

A classification matrix displays the frequencies of the predicted and observed classification of cases and percentage of correct predictions based on the logistic regression model.

An observation is predicted as 1 if the predicted probability is greater than 0.5 else it is predicted as 0. The format of the classification matrix is as follows:

 Predicted

0

Predicted

1

Observed:

0

ƒ0,0ƒ0,1
Observed:

1

ƒ1,0ƒ1,1

The odds ratio of the classification matrix is given by:

The log odds ratio is the natural log of the odds ratio as defined above.

The Percent correct is given as the percentage correct for a given observed category i and predicted category j.