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. 2016 Jul 12;15:75. doi: 10.1186/s12940-016-0160-x

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