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Nested models
Statistical calculator for model discrimination analysis

Statement of the problem Statement of the problem
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Let us assume that the same set of experimental data was fit to two different fitting models (equations), one of which is a simler case of the other.

Example

A set of enzyme kinetic data waas fit to the competitive inhibition equation with three adjustable parameters (Vmax, KM, and Kis) and also to the mixed noncompetitive inhibition equation with four adjustable parameters (previous three, plus Kii).

Very often a fitting model with more adjustable parameters will produce a better fit (in the least-squares sense) than an alternative model with fewer adjustable parameters. The question is than whether the decrease in the sum of squares is statistically significant. The statistical calculator below provides the answer.


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This calculator will compute the probability that a decrease in sum of squares upon the introduction of an additional fitting parameter could arise by random chance.

For the more complex model (with greater number of adjustable parameters) to be accepted, typically we want the computed probability to be lower than 5% (P < 0.05).

Number of data points:
Model A
Number of parameters:
Model A
Sum of squares:
Model B
Number of parameters:
Model B
Sum of squares:


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www.biokin.com/tools/nestedmodels.html
Tue Nov 29 06:58:35 2016