Table 5.
BMD10 for glomerulosclerosis in female rat (data from Larson, 1979, dose group 1 excluded)
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 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Gamma | 3 | 74.198 | 0.594 | 0.01 | 0.0043 | 0.0011 |
Logistic | 2 | 78.734 | 0.009 | 1.19 | 0.2102 | 0.0537 |
LogLogistic-Restricted | 3 | 72.206 | 0.848 | −0.02 | 0.0495 | 0.0126 |
LogLogistic | 3 | 74.083 | 0.679 | 0.01 | 0.0259 | 0.0066 |
LogProbit-Restricted | 3 | 73.859 | 0.215 | −0.15 | 0.1235 | 0.0315 |
LogProbit | 3 | 74.093 | 0.671 | 0.01 | 0.0288 | 0.0073 |
Multistage-Restricted | 2 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Multistage | 2 | 73.915 | 0.969 | 0.00 | 0.0552 | 0.0141 |
Multistage-Cancer 1 | 2 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Multistage-Cancer 2 | 3 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Multistage-Cancer 3 | 4 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Probit | 2 | 79.168 | 0.016 | 1.28 | 0.2378 | 0.0607 |
Weibull-Restricted | 3 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Weibull | 3 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Quantal-Linear | 3 | 73.996 | 0.218 | −0.25 | 0.0857 | 0.0219 |
Minimal BMD | 0.001 | |||||
Maximal BMD | 0.032 | |||||
Ratio max/min | 29 | |||||
BMD from best AIC model | 0.0126 | |||||
Geometric mean of acceptable models BMD | Not applicable |
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 = 4); 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