Table 3 External validation of the models generated

\( {R}_{\mathrm{pred}}^2 \)

\( {R}_{\mathrm{pred}}^2 \) > 0.5

0.7543

0.7315

0.7423

0.6620

0.5781

R²_test

R²_test > 0.6

0.6993

0.6858

0.6656

0.2745

0.8572

Average \( {\overline{R}}_m^2 \) (test)

> 0.5

0.5954

0.6501

0.5530

0.0776

0.7284

Δ\( {\overline{R}}_m^2 \) (test)

< 0.5

0.0244

0.0680

0.1295

0.3724

0.1310

RMSEP

–

1.0657

1.1101

1.132

0.9995

0.3388

\( {r}_0^2 \)

> 0.5

0.5246

0.4725

0.3121

0.26839

0.8556

r′²₀

> 0.5

0.6975

0.6825

0.6531

− 0.98759

0.8168

\( \left|{r}_0^2-\mathrm{r}{\prime}_0\right| \)

\( \left|{r}_0^2-\mathrm{r}{\prime}_0\right| \) < 0.3

0.1728

0.2100

0.3409

1.25598

0.0388

k

0.85 < k < 1.15

0.8674

0.8631

0.8671

0.89299

0.98011

k′

0.85 < k′ < 1.15

1.1419

1.1464

1.1374

1.10363

1.0164

(r² − r₀²)/r²

(r² − r₀²)/r² < 0.1

0.2497

0.3109

0.5308

0.0225

0.0018

(r² − r′²₀)/r²

(r² − r′²₀)/r² < 0.1

0.0026

0.0047

0.0187

4.59689

0.0471