Since the current NMR titration model has more than two parameters, the correlation of lgK 11 and lgK 12 will be analysed either neglecting or taking the parameters, e.g. the chemical shifts, into account. Therefore, a Monte Carlo simulation with σ MC = SE y and T = 10000, two runs of Weakened Grid Search, the first only for lgK 11 and lgK 12 and the second for all parameters and Model Comparison for lgK 11 and lgK 12 were performed. The scatter plots for lgK 11 vs lgK 12 are shown in Fig. and the confidence intervals are given in Table . The first two charts show the scattering of the complex formation constants after applying the Weakened Grid Search, where Fig. (a) contains only two series, since only two parameters were tested. However, the chart in Fig. shows more than two series, as all parameters were taken into account. Incorporating more parameters, the correlation coefficient drops from 0.80 to 0.74 since more points from the original series are available. However, the high correlation is an artefact as already pointed out in the example of the function with correlated parameters in the previous section. The scatter plot after Monte Carlo simulation in Fig. ) shows an ellipsoid, with the parameters having a correlation coefficient of 0.37. On the other hand, using Model Comparison with only taking two parameters into account, one obtains a complete ellipsoid, which however is rotated with respected to the Monte Carlo ellipsoid and to the series obtained after Weakened Grid Search (Fig. ). Therefore, naive Model Comparison leads to wrong results regarding confidence intervals and the ellipsoid, if correlated parameters are ignored.