Table 4 AIC and BIC of fitting models.

From: Evaluation of different mathematical models on fitting the in vitro gas production parameters in beef cattle

Items

EXP0

EXPL

GOM

LOG

LE0

LEL

MIT

MM

Energy feeds

        

Mean rank of AIC

4.88

3.96

5.92

7.54

3.08

3.75

4.58

2.29

Number of curves with smallest AIC

1

0

0

0

7

0

1

15

Number of curves with largest AIC

3

0

0

21

0

0

0

0

Mean rank of BIC

4.29

4.00

5.88

7.54

2.92

4.21

4.88

2.29

Number of curves with smallest BIC

1

0

0

0

7

0

1

15

Number of curves with largest BIC

2

0

0

21

0

0

1

0

Protein feeds

        

Mean rank of AIC

3.77

3.77

6.45

7.68

3.82

4.77

4.14

1.59

Number of curves with smallest AIC

1

0

0

0

3

0

0

18

Number of curves with largest AIC

3

0

0

19

0

0

0

0

Mean rank of BIC

3.32

3.77

6.45

7.68

3.68

5.00

4.50

1.59

Number of curves with smallest BIC

1

0

0

0

3

0

0

18

Number of curves with largest BIC

3

0

0

19

0

0

0

0

Roughages

        

Mean rank of AIC

4.64

3.55

6.09

7.36

4.27

4.45

4.14

2.09

Number of curves with smallest AIC

2

0

1

1

0

0

4

14

Number of curves with largest AIC

3

0

0

18

0

0

1

0

Mean rank of BIC

3.95

3.68

6.09

7.36

3.64

4.64

4.68

1.95

Number of curves with smallest BIC

2

0

1

1

0

0

3

15

Number of curves with largest BIC

3

0

0

18

0

0

1

0

All feedstuffs

        

Mean rank of AIC

4.44

3.78

6.12

7.50

3.62

4.24

4.31

2.00

Number of curves with smallest AIC

4

0

1

1

10

0

5

47

Number of curves with largest AIC

9

0

0

58

0

0

1

0

Mean rank of BIC

3.87

3.84

6.10

7.50

3.41

4.62

4.71

1.96

Number of curves with smallest BIC

4

0

1

1

10

0

4

48

Number of curves with largest BIC

8

0

0

58

0

0

2

0

  1. EXP0: exponential without lag phase; EXPL: exponential with lag phase; GOM: Gompertz; LOG: logistic; LE0: logistic-exponential without lag phase; LEL: logistic-exponential with lag phase; MIT: Mitscherlich; MM: Michaelis‒Menten; AIC: Akaike information criterion; BIC: Bayesian information criterion. Ranking according to AIC (BIC) of models fitted each feedstuff, the smaller the AIC(BIC), the higher the ranking.