6533b85ffe1ef96bd12c23ea

RESEARCH PRODUCT

Equivalence of the Pecka–Ponec Correlation Probability and the Statistical F Significance for MLR Models

J.v. De Julián-ortizEmili Besalú

subject

Multilinear mapApplied MathematicsMathematical statisticsGeneral ChemistryF-distributionsymbols.namesakeJoint probability distributionStatisticssymbolsProbability mass functionProbability distributionApplied mathematicsRandom variableMathematicsProbability measure

description

In an article of this journal Pecka and Ponec [J. Math. Chem. 27 (2000) 13] have proposed, by means of a probability calculation, a method to evaluate the statistical importance of correlations obtained from multilinear regression equations involving an arbitrary number of experimental points and parameters. Here, it is demonstrated how this probability exactly coincides with a more general concept: the confidence probability of an F distribution having the appropriate degrees of freedom.

https://doi.org/10.1023/b:jomc.0000044523.96357.49