How is the R/R2 statistics value defined in Qlucore Omics Explorer?

Answer

What Qlucore computes is the "coefficient of partial determination". From en.wikipedia.org/wiki/Coefficient_of_determination we have:

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The coefficient of partial determination can be defined as the proportion of variation that cannot be explained in a reduced model, but can be explained by the predictors specified in a full(er) model. This coefficient is used to provide insight into whether or not one or more additional predictors may be useful in a more fully specified regression model.

The calculation for the partial R2 is relatively straight forward after estimating two models and generating the ANOVA tables for them. The calculation for the partial R2 is:

(SSEreduced − SSEfull) / SSEreduced

which is analogous to the usual coefficient of determination