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 |
Answer
- 0.00892
- 0.0303
- 0.0281
- 0.123
- 0.0650
- 0.0175
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