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Table 2 Comparison of simple parametric models fitted to parasite and leukocyte counts per field

From: Evidence for overdispersion in the distribution of malaria parasites and leukocytes in thick blood smears

 

Poisson

Negative Binomial

 

-â„’

AIC

BIC

-â„’

AIC

BIC

p a

6801.59

13605.17

13609.80

3200.63

6405.25

6414.50

p b

10838.95

21679.91

21684.75

4344.27

8692.54

8702.23

p c

2472.18

4946.36

4951.08

2302.96

4609.92

4619.38

â„“ a

3108.25

6218.51

6223.13

2532.77

5069.53

5078.79

â„“ b

3547.53

7097.06

7101.90

2965.34

5934.69

5944.38

â„“ c

3051.08

6104.15

6108.88

2728.46

5460.91

5470.37

 

Geometric

Logistic

 

-â„’

AIC

BIC

-â„’

AIC

BIC

p a

3249.22

6500.44

6505.06

3287.80

6579.60

6588.86

p b

4413.13

8828.26

8833.10

4407.19

8818.38

8828.06

p c

2488.96

4979.93

4984.65

2344.83

4693.66

4703.12

â„“ a

2719.04

5440.09

5444.72

2560.46

5124.92

5134.17

â„“ b

3122.84

6247.69

6252.53

2998.50

6001.01

6010.69

â„“ c

3122.55

6247.11

6251.84

2762.37

5528.74

5538.20

 

Gaussian

Exponential

 

-â„’

AIC

BIC

-â„’

AIC

BIC

p a

3279.99

6563.99

6573.24

3248.74

6499.48

6504.10

p b

4384.43

8772.85

8782.54

4412.85

8827.71

8832.55

p c

2327.71

4659.41

4668.87

2482.13

4966.25

4970.98

â„“ a

2560.19

5124.39

5133.64

2717.17

5436.34

5440.96

â„“ b

2995.11

5994.21

6003.90

3118.89

6239.77

6244.62

â„“ c

2765.26

5534.51

5543.97

3120.93

6243.86

6248.59

  1. Parasite (p a , p b , p c ) and leukocyte ( â„“ a , â„“ b , â„“ c ) counts are fitted to Poisson, Negative Binomial, Geometric, Logistic, Gaussian and Exponential models. Minus log-likelihood (-â„’) and information measures (AIC and BIC) are given. Direct optimization of the log-likelihood was performed using optim in R. The best AIC and BIC values are highlighted in bold.