Table 7 Random models parameters

Average of the correlation coefficient for randomized data \(\overline{R}_{{\text{r}}}\)

\(\overline{R} < 0.5\)

Average of determination coefficient for randomized data

\(\overline{R}_{{\text{r}}}^{2} < 0.5\)

Average of leave one out cross-validated determination coefficient for randomization data Q²:

\(\overline{Q}_{{\text{r}}}^{2} < 0.5\)

Coefficient for Y-randomization:\(cR_{{\text{p}}}^{2}\)

\(R^{2} \times \left( {1 - \sqrt {\left| {R^{2} - \overline{R}_{{\text{r}}}^{2} } \right|} } \right)\)

\(cR_{{\text{p}}}^{2} > 0.{6}\)