# 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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