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Table 2 Model assessment for alternative models

From: Robustness of zero-augmented models over generalized linear models in analysing fertility data in Nigeria

Model selection criteria

Fitted models

Poisson

NB

ZIP

ZINB

HP

HNB

North Central

 DF

25

26

50

51

50

51

 Loglikelihood

− 7421.56

− 7306.18

− 7253.18

− 7224.78

− 7249.53

− 7216.54

 AIC

14,893.11

14,664.36

14,606.37

14,551.56

14,599.07

14,535.08

 BIC

15,048.30

14,825.76

14,916.75

14,865.13

14,909.45

14,851.67

North East

 DF

19

20

38

39

38

39

 Loglikelihood

− 14,780.34

− 12607.10

− 12802.35

− 12243.64

− 12805.15

− 12261.91

 AIC

29,598.67

25,254.21

25,680.70

24,565.28

25,686.30

24,601.82

 BIC

29,726.82

25,389.10

25,936.99

24,828.33

25,942.60

24,828.33

North West

 DF

25

26

50

48

50

51

 Loglikelihood

− 24,795.29

− 22,881.19

− 23,568.25

− 22,679.93

− 23,561.91

− 22,659.60

 AIC

49,640.59

45,814.39

47,236.50

45,455.85

47,223.83

45,421.19

 BIC

49,814.34

45,995.09

47,583.99

45,789.45

47,571.32

45,775.64

South East

 DF

20

21

40

41

40

41

 Loglikelihood

− 8369.57

− 7439.37

− 6887.56

− 6848.18

− 6881.34

− 6842.69

 AIC

16,779.13

14,920.73

13,855.13

13,778.35

13,842.68

13,767.37

 BIC

16,905.69

15,053.62

14,108.25

14,037.80

14,095.80

14,026.82

South South

 DF

20

21

40

41

40

41

 Loglikelihood

− 9129.94

− 8375.15

− 8099.40

− 8028.25

− 8099.58

− 8031.54

 AIC

18,299.88

16,792.30

16,278.79

16,138.50

16,279.15

16,145.07

 BIC

18,432.92

16,932.00

16,544.88

16,411.23

16,545.23

16417.80

South West

 DF

20

21

40

41

40

41

 Loglikelihood

− 11,155.07

− 10,890.47

− 10,162.28

− 10,158.6

− 10,188.28

− 10,187.45

 AIC

22350.14

21,822.95

20,404.56

20,399.20

20,456.56

20,456.89

 BIC

22,482.74

21,962.18

20,669.75

20,671.03

20,721.76

20,722.39