Optimization Output for Exp. 262

Basic Information

Experiment ID	262
Pathogen	Mycobacterium avium
Contains Preferred Model	1
Reference	Quantitative studies of Mycobacterium johnei in tissues of sheep. III. Intestinal histopathology

Detailed information

Host type

# of Doses

3.00

Μodel

6.93E-04

LD50/ID50

1000

Dose Units

Response

Agent Strain

sub sp. Paratuberculosis Bovine

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	3.07e-05	7.15e-06	2	3.84 0.998	5.99 1
Beta Poisson	2.36e-05	7.15e-06	1	3.84 0.998	3.84 0.996
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	6.93E-04	2.08E-04	2.88E-04	3.75E-04	1.16E-03	1.39E-03	1.67E-03
ID50/LD50/ETC*	1E+03	4.14E+02	5.00E+02	5.96E+02	1.85E+03	2.41E+03	3.34E+03
*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