Optimization Output for Exp. 2

Basic Information

Experiment ID	2
Pathogen	Yersinia pestis
Contains Preferred Model	0
Reference	Cell-Mediated Protection against Pulmonary Yersinia pestis Infection

Detailed information

Host type

# of Doses

4.00

Μodel

1.07E-04

LD50/ID50

6.47E+03

Dose Units

Response

Agent Strain

KIM D27

Exposure Route

Experiment Dataset

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	1.21	0.138	3	3.84 0.711	7.81 0.75
Beta Poisson	1.07	0.138	2	3.84 0.711	5.99 0.585
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	1.07E-04	3.85E-05	4.70E-05	5.57E-05	1.93E-04	2.22E-04	3.29E-04
ID50/LD50/ETC*	6.47E+03	2.11E+03	3.12E+03	3.59E+03	1.24E+04	1.48E+04	1.80E+04
*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

References