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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

 

Answer

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

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