Faq more info on R Squared statistic

Issue:

Can you give me more information on the R-Squared statistic?

Possible Solutions:

R-Squared (R²) is an assessment of how well the model does the prediction (it is similar to RMSEC except that it doesn't show if there is a bias).

You can access the R² by right-clicking on a scores plot of predicted vs. measured. It is one of the items which show up in the information box ("Show on figure" puts it on the figure).

Note: in other software, R² is for the MODELED data only. In PLS_Toolbox we calculate it for the DISPLAYED data. That means that if you show excluded data, or if you show predicted/test data with calibration data ("Show Cal with Test") the R² will be for what is shown and will be different from the calibration data. Turn off the "Show Cal with Test" checkbox on the Plot Controls window to view the R² for only the test data.

R² is calculated as the square of the correlation coefficient between the X and Y axes plotted in the figure. If the only data shown is the estimation of the calibration Y data vs. the actual calibration Y data, this is nearly the same as the standard R² for a model as defined by, e.g. Martens and Naes.

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