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Table 1 Preferences of Model Selection Criteria on Real Data

From: Thinking outside the curve, part I: modeling birthweight distribution

Number of Components

FLIC

5000

BIC

5000

AIC

5000

FLIC

10000

BIC

10000

AIC

10000

1

0

0

0

0

0

0

2

20

21

1

8

11

0

3

5

4

4

5

5

0

4

0

0

14

12

9

15

5

0

0

1

0

0

1

6

0

0

4

0

0

8

7

0

0

1

0

0

1

Number of Components

FLIC

25000

BIC

25000

AIC

25000

FLIC

50000

BIC

50000

AIC

50000

1

0

0

0

0

0

0

2

0

0

0

0

0

0

3

0

0

0

0

0

0

4

25

25

5

22

22

1

5

0

0

1

0

0

0

6

0

0

10

3

3

6

7

0

0

9

0

0

18

  1. The columns "FLIC 5000", "BIC 5000", and "AIC 5000" contain the preferences of the three model selection criteria for the number of components in a normal mixture model for birthweight distribution, based on 25 samples of size 5000 from the population of white singletons born to heavily smoking mothers. The next nine columns correspond to sample sizes of 10000, 25000, and 50000.