Based on the below tables, which model should be chosen among the three? Please

Question

Based on the below tables, which model should be chosen among the three? Please explain your answers in terms of AIC, McFadden R2 , Area under the ROC curve, and Model Complexity (i.e., Number of Predictor Variables).

Training

Model 1

Model 2

Model 3

AIC

9242

2749

9235.8

McFadden R-squared

0.334

0.40

0.334

Validation

Model 1

Model 2

Model 3

Area under the ROC curve

0.9010

0.9019

0.9012

Number of predictor variables

20

19

15

Training

Model 1

Model 2

Model 3

AIC

9242

2749

9235.8

McFadden R-squared

0.334

0.40

0.334

Explanation / Answer

Since the ROC curve area is very similar in the three models, that criteria should not be used for comparison.

The less the AIC the better the model and the more the R - squared the better the model is.

Therefore, since the model 2 has lowest AIC and highest R-Squared, it is the best model.

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