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Table 3 BMD10 for liver carcinomas in female mice (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

147.182

0.014

0

0.671

0.1005

Gamma

3

141.305

0.568

0

2E-35

na

Logistic

2

166.361

0.000

3.47

1.824

0.2734

LogLogistic-Restricted

3

143.927

0.081

0

0.464

0.0695

LogLogistic

3

139.233

0.881

0

computation failed

LogProbit-Restricted

3

149.575

0.004

0

1.149

0.1722

LogProbit

3

139.233

0.881

0

computation failed

Multistage-Restricted

2

147.182

0.014

0

0.671

0.1005

Multistage

2

140.979

1.000

0

0.275

0.0412

Multistage-Cancer 1

2

147.182

0.014

0

0.671

0.1005

Multistage-Cancer 2

3

147.182

0.014

0

0.671

0.1005

Multistage-Cancer 3

4

147.182

0.014

0

0.671

0.1005

Probit

2

164.975

0.000

3.509

1.704

0.2553

Weibull-Restricted

3

147.182

0.014

0

0.671

0.1005

Weibull

3

147.182

0.014

0

0.671

0.1005

Quantal-Linear

3

147.182

0.014

0

0.671

0.1005

Minimal BMD

na

Maximal BMD

na

Ratio max/min

na

BMD from best AIC model

0.0412

Geometric mean of BMDs for acceptable models

na

  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 the best AIC model is selected. “na”: not applicable