Document ID: EPA-HQ-OPPT-2012-0725-0051
Agency: epa
Document Type: Supporting & Related Material
Title: 
Posted Date: 2013-11-14T05:00Z

BMD Analysis (Pooled Data, Cmax)

                                   Kan Shao
                               September 6, 2013

Dose 
N
Effect
                                                                              0
                                                                             48
                                                                             22
                                                                           11.9
                                                                             20
                                                                              5
                                                                           24.5
                                                                             19
                                                                              8
                                                                          49.57
                                                                             25
                                                                              5
                                                                          202.4
                                                                             22
                                                                             11
                                                                          641.1
                                                                             23
                                                                             14
                                                                         2049.6
                                                                             22
                                                                             18

                            BMD Estimation Results
                                       
Model
P-Value
AIC
BMD 
(BMR=10%)
BMDL
(BMR=10%) 
BMD
(BMR=5%)
BMDL 
(BMR=5%)
Gamma
0.125
235.31
180.45
102.61
91.49
49.95
Logistic
0.179
233.77
244.03
169.56
123.48
85.78
LogLogistic
0.140
235
174.78
57.27
98.26
27.13
LogProbit
0.203
233.329
277.44
169.82
192.93
118.09
Multistage
0.205
233.327
162.95
102.49
79.33
49.90
Probit
0.175
233.84
251.66
181.67
127.01
91.67
Weibull
0.125
235.33
168.05
102.5
82.63
49.90
Quantal-Linear
0.205
233.327
162.95
102.49
79.33
49.90
Note: Multistage model and Quantal-Linear model have the lowest AIC. But the BMDLs exceed 3-fold range, so the BMDL from the Loglogistic model should be selected.

The best fitted model Quantal-linear is shown below.