Team:Paris/Network analysis and design/Core system/Model construction/Akaike
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Why can we introduce this seemingly awkard criteria as being a fundamental tool? This precise criteria enables the mathematician to adapt its model. In fact, in that respect, conducting this analysis over his model gives tangible arguments to the mathematician to use such and such model. Indeed, for example in our precise case, if we have about 20 experimental points to fit, BOB approach is sufficient. However, if we get 50 points, BOB approach would be inadequate compared to APE. We believe that this kind of criteria is an essential tool, that might help the model maker to comprehend and control the assumptions he made while creating his model. | Why can we introduce this seemingly awkard criteria as being a fundamental tool? This precise criteria enables the mathematician to adapt its model. In fact, in that respect, conducting this analysis over his model gives tangible arguments to the mathematician to use such and such model. Indeed, for example in our precise case, if we have about 20 experimental points to fit, BOB approach is sufficient. However, if we get 50 points, BOB approach would be inadequate compared to APE. We believe that this kind of criteria is an essential tool, that might help the model maker to comprehend and control the assumptions he made while creating his model. | ||
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Revision as of 16:34, 25 October 2008
Depending on the experimental constraints, how can we be helped by mathematical criterions ?
Short introduction to the criteria
where n denotes the number of experimental values, k the number of parameters and RSS the residual sum of squares. The best fitting model is the one for which those criteria are minimized.
Experiment
System#1 : using the linear equations found in bibliography : System#2 : using classical Hill functions :
A fundamental tool?Why can we introduce this seemingly awkard criteria as being a fundamental tool? This precise criteria enables the mathematician to adapt its model. In fact, in that respect, conducting this analysis over his model gives tangible arguments to the mathematician to use such and such model. Indeed, for example in our precise case, if we have about 20 experimental points to fit, BOB approach is sufficient. However, if we get 50 points, BOB approach would be inadequate compared to APE. We believe that this kind of criteria is an essential tool, that might help the model maker to comprehend and control the assumptions he made while creating his model.
[http://www.liebertonline.com/doi/pdf/10.1089/rej.2006.9.324 K. Kikkawa.Statistical issue of regression analysis on development of an age predictive equation. Rejuvenation research, Volume 9, n°2, 2006.]
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