Team:Paris/Modeling/BOB/Akaike
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* It is remarquable that Akaike criterion and Hurvich and Tsai criterion are alike. AICc is therefore used for smal sample size, but converges to AIC as n gets large. Since we will work with 20 points for each experiment, it seemed relevant to present both models. | * It is remarquable that Akaike criterion and Hurvich and Tsai criterion are alike. AICc is therefore used for smal sample size, but converges to AIC as n gets large. Since we will work with 20 points for each experiment, it seemed relevant to present both models. | ||
* As an experiment, we wished to compare two models presented below : | * As an experiment, we wished to compare two models presented below : | ||
- | [[Image:syste_akaike_1.jpg]][[Image:syste_akaike_2.jpg]] | + | System #1 : using the linear equations : [[Image:syste_akaike_1.jpg]] |
+ | System #2 : using classical Hill functions : [[Image:syste_akaike_2.jpg]] | ||
+ | |||
Revision as of 12:31, 3 September 2008
(Under Construction) Model Comparison
where n denotes the number of experimental values, k the number of parameters and RSS the residual sum of squares.
System #1 : using the linear equations : System #2 : using classical Hill functions :
We mostly used the definition of the criteria given in : K. Kikkawa.Statistical issue of regression analysis on development of an age predictive equation. Rejuvenation research, Volume 9, n°2, 2006. |