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Table 4 BMD10 for liver carcinomas in male mice (data from NCI, 1976)

From: Public health and chronic low chlordecone exposure in Guadeloupe, Part 1: hazards, exposure-response functions, and exposures

Model

Total number of parameters in the model

AIC

Goodness of fit test P-value

Scaled residual near BMR

BMD10 (mg/kg/d)

BMD10-HED (mg/kg/d)

Gamma-Restricted

3

157.911

NA

0

0.841

0.1279

Gamma

3

157.911

NA

0

0.841

0.1279

Logistic

2

155.911

0.9773

0.002

0.545

0.0828

LogLogistic-Restricted

3

157.911

NA

0

1.136

0.1725

LogLogistic

3

157.911

NA

0

1.136

0.1725

LogProbit-Restricted

3

157.911

NA

0

1.078

0.1638

LogProbit

3

157.911

NA

0

1.078

0.1638

Multistage-Restricted

2

157.911

NA

0

0.536

0.0814

Multistage

2

157.911

NA

0

0.536

0.0814

Multistage-Cancer 1

2

156.027

0.733

0.007

0.257

0.0391

Multistage-Cancer 2

3

157.911

NA

0

0.536

0.0814

Multistage-Cancer 3

4

159.911

NA

0

0.373

0.0567

Probit

2

155.914

0.9557

−0.005

0.535

0.0812

Weibull-Restricted

3

157.911

NA

0

0.674

0.1024

Weibull

3

157.911

NA

0

0.674

0.1024

Quantal-Linear

3

156.027

0.733

0.007

0.257

0.0391

Minimal BMD

0.0391

Maximal BMD

0.0828

Ratio max/min

2.1

BMD from best AIC model

0.083

Geometric mean of acceptable models BMD

0.057

  1. The benchmark response is 10 %. AIC: Akaïke’s Information Criterion. BMD10: Benchmark dose for 10 % excess risk. Results in bold are acceptable models according to these criteria: total number of parameters does not exceed the number of groups modeled (n = 3); and p-value > 0.1; and scaled residual < │2│ and no computation error or unrealistic graphical BMD10. If ratio max/min is less than 3, then geometric mean of acceptable models is selected, else best AIC model is selected. “NA”: not applicable