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# Nagelkerke R-squared in Logistic Regression Analysis

## 1. Nagelkerke R-squared in Logistic Regression Analysis

Nagelkerke R Squared is an adjusted version of Cox and Snell R Squared. The range of values for Nagelkerke fall between 0 and 1. It measures the proportion of the total variation of the dependent variable can be explained by independent variables in the current model.

## 2. Formula for Calculating Nagelkerke R Squared:

Nagelkerke R-Squared = [1-(L0/L1)^(2/N)]/[1-L0^(2/N)]

Exercise

Calcuate the Nagelkerke R-squared for the following datasets.

Question 1

 DV1 IV1 0 4 1 9 1 6 1 5 1 5 0 2 0 4 1 4 1 4 0 10 1 3 1 9 0 3 1 1 0 8 0 7 0 4 1 1 1 10 1 10 0 4

Question 2

 DV2 IV2 1 4 1 6 0 8 1 6 1 9 1 3 1 7 1 5 1 2 0 10 0 1 1 7 1 2 1 5 1 2 0 4 0 9 1 3 1 10 0 9 0 1

Question 3

 DV3 IV3 0 4 1 3 1 6 0 3 0 2 0 4 0 6 1 7 1 10 1 10 0 5 1 6 1 7 0 10 0 5 1 3 0 4 1 5 1 3 1 1 1 5

Question 4

 DV4 IV4 0 10 1 1 1 3 0 10 0 8 0 8 0 10 1 1 0 1 0 7 1 8 0 1 0 10 1 5 0 3 1 10 0 3 0 10 1 4 1 2 0 3

Question 5

 DV5 IV5 0 3 1 10 0 10 0 8 0 7 1 6 0 6 1 4 0 10 1 1 0 6 1 6 0 9 1 10 1 7 0 5 1 2 1 6 1 4 1 5 1 10

Question 6

 DV6 IV6 1 5 1 9 1 2 1 5 1 10 0 7 0 5 0 4 1 1 0 4 1 6 0 6 0 7 0 6 0 7 1 3 0 1 1 2 0 8 0 4 0 5

1. 0.00892
2. 0.0303
3. 0.0281
4. 0.123
5. 0.0650
6. 0.0175

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