## 3 Results
### Correction
#### 3.2.2 Realistic Setting--Dataset  
Figure 16 shows the Accuracy values achieved during the classification process using the RF model trained on the control data (i.e., Standard Positioning), pre- and post-application of the correction method. The dashed curves represent the accuracy values \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline \multicolumn{1}{c}{\multirow{2}{*}{**Second**}} & \multicolumn{2}{c}{**Test Diff Ref Diff Chs**} & \multicolumn{3}{c}{**Test Diff Ref Diff Chs**} & \multicolumn{3}{c}{**Test Same Chs Diff Ref**} \\ \hline
**Second** & **Acc Pre** & **Acc Post** & \(\mathbf{p}\)**-Value** & **Acc Pre** & **Acc Post** & \(\mathbf{p}\)**-Value** & **Acc Pre** & **Acc Post** & \(\mathbf{p}\)**-Value** \\ \hline
10 & 0.64 & 0.7 & \(1\times 10^{-3}\) & 0.78 & 0.71 & \(8\times 10^{-5}\) & 0.8 & 0.71 & \(3\times 10^{-4}\) \\
30 & 0.63 & 0.72 & \(4\times 10^{-4}\) & 0.8 & 0.73 & \(2\times 10^{-4}\) & 0.82 & 0.73 & \(1\times 10^{-3}\) \\
60 & 0.63 & 0.72 & \(7\times 10^{-4}\) & 0.8 & 0.72 & \(1\times 10^{-9}\) & 0.81 & 0.74 & \(1\times 10^{-8}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 11: Accuracy values achieved pre- and post-correction in each configuration. Figure 14: Comparison of classification accuracy before and after correction. Dashed curves show pre-correction accuracy using registration data (see Figure 8), while solid curves represent post-correction accuracy. Colors indicate test data configurations. The bottom box displays \(p\)-values of accuracy comparison at each decimation point, evaluating the impact of the correction function on the same configuration’s data. All \(p\)-values are below \(10^{-4}\), except for the first value of _Test diff Ref diff Chs_ comparison. Figure 15: Comparison of anomaly detection results before and after correction. Dashed curves show the percentage of anomalies identified using the registration data, while solid curves represent post-correction results. The bottom box displays Wilcoxon \(p\)-values of the comparison of anomaly percentages before and after applying the correction function on the same configuration’s data based on different contamination levels in the isolation forest method. achieved by the model in classification using the registration data before the application of the correction function (as also depicted in Figure 12). Conversely, the solid curves depict the accuracy values achieved by the model in classification using the data after the application of the correction function. For both types of curves, the color denotes the configuration used for the test data. At the bottom, there is a box displaying \(p\)-value values for each decimation point. The comparison is made between the accuracy values before and after the application of the transformation function on data from the same configuration. The statistical analysis reveals \(p\)-values all exceeding the chosen level of significance (0.05). When comparing the average accuracy achieved pre- and post-correction using [PERSON]'s test, we observe that, unlike what we observed in the laboratory dataset, the difference is not as pronounced for both configurations. Specifically, [PERSON]'s D value when comparing the values recorded with the \"Different Positioning\" configuration is 0.63, whereas in the other configuration (i.e., \"Similar Positioning\"), it is 1.58. Table 12 compares the accuracy values achieved pre- and post-correction for some selected decimation values for all positioning configurations except the Standard one. For each comparison, the Wilcoxon \(p\)-value is also reported. Figure 17 shows the values (in %) of records identified with covariate shift at different values of contamination, using a subsample of the first 15 records in each test condition. The values achieved pre- and post-application of the correction function are also compared. The dashed curves represent the percentage of values identified with shift by isolation forest using the registration data before the application of the correction function.