monkey | QMRA wiki

Description

**Goodness of fit and model selection**
Model	Deviance	Δ	Degrees of freedom	χ²_0.95,1 p-value	χ²_0.95,m-k p-value
Exponential	11.3	-0.000503	8	3.84 1	15.5 0.188
Beta Poisson	11.3	-0.000503	7	3.84 1	14.1 0.128
Exponential is preferred to beta-Poisson; cannot reject good fit for exponential.

**Optimized parameters for the exponential model, from 10000 bootstrap iterations**
Parameter	MLE estimate	Percentiles
Parameter	MLE estimate	0.5%	2.5%	5%	95%	97.5%	99.5%
k	7.16E-06	4.99E-06	5.47E-06	5.71E-06	9.09E-06	9.51E-06	1.05E-05
ID50/LD50/ETC*	9.69E+04	6.63E+04	7.29E+04	7.63E+04	1.21E+05	1.27E+05	1.39E+05
*Not a parameter of the exponential model; however, it facilitates comparison with other models.

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model

# of Doses

9.00

Μodel

LD50/ID50

9.69E+04

Dose Units

Response

Exposure Route

Contains Preferred Model

7.16E-06

Agent Strain

Vollum

Experiment ID

Host type

Description

**Goodness of fit and model selection**
Model	Deviance	Δ	Degrees of freedom	χ²_0.95,1 p-value	χ²_0.95,m-k p-value
Exponential	1.26	-0.000367	3	3.84 1	7.81 0.738
Beta Poisson	1.26	-0.000367	2	3.84 1	5.99 0.531
Exponential is preferred to beta-Poisson; cannot reject good fit for exponential.

**Optimized k parameter for the exponential model, from 10000 bootstrap iterations**
Parameter	MLE estimate	Percentiles
Parameter	MLE estimate	0.5%	2.5%	5%	95%	97.5%	99.5%
k	4.73E-02	2.28E-02	2.72E-02	2.98E-02	7.81E-02	9.03E-02	1.11E-01
ID50/LD50/ETC*	1.46E+01	6.27E+00	7.67E+00	8.88E+00	2.33E+01	2.55E+01	3.04E+01
*Not a parameter of the exponential model; however, it facilitates comparison with other models.