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Table 4 Summary of cross-validation and experimental validation of the 2nd-round models

From: Modeling the dependence of respiration and photosynthesis upon light, acetate, carbon dioxide, nitrate and ammonium in Chlamydomonas reinhardtiiusing design of experiments and multiple regression

  2nd-round models K-fold cross-validation (average values fork = 5) Experimental validation sets Average scale
Training models Test sets
R2 R2adj. MAEF RMSEF R2 R2adj. MAEF RMSEF MAECV RMSECV MAEEV RMSEEV
CR 0.81 0.78 2.2 2.9 0.81 0.79 2.2 2.8 2.6 3.1 1.9 2.2 7.4
MA CYT 0.64 0.61 2.7 3.5 0.66 0.62 2.6 3.5 3.2 3.9 1.7 2.1 7.5
MA ALT 0.64 0.59 2.2 3.0 0.65 0.59 2.1 3.0 2.7 3.2 1.8 1.9 6.8
ΦPSII 800 0.66 0.65 0.053 0.068 0.65 0.64 0.053 0.068 0.054 0.067 0.068 0.078 0.201
NPQ 800 0.48 0.41 0.062 0.084 0.50 0.41 0.061 0.083 0.076 0.093 0.039 0.044 0.205
P 800 0.60 0.54 13.6 19.6 0.60 0.54 13.4 19.6 18.4 23.7 17.3 23.4 43.9
  1. Cross-validation was performed by the k-fold method with k = 5; the R2, R2 adjusted, MAE and RMSE presented for the training models (“F”) and the test data sets (“CV”) are the average values compiling the 5 iterations. For each response, the average scale (i.e. the difference between the mean and minimal experimental values of the DOE study) is also provided as a reference to assess the importance of the deviations. R2 adj., R2 adjusted.