The above presented results are statistically interpreted using the correlation coefficients presented above under ‘Methods in numerical algorithm verification’. Table 1 shows obtained values of the correlation coefficient. Analysis of Table 1 shows that there are no significant differences between the obtained values for five out of six implementations. The achieved values are 0.956 for the Schnerr & Sauer (2001) model and 0.942 for the Zwart et al. (2004) model. It means the results are consistent in more than 90%, even more than 95% for the Schnerr & Sauer (2001) model. One exception is the interface implementation of the Singhal et al. (2002) model, which is also visible in Figure 10. The results are correlated only in about 50%. The results obtained with the Singhal et al. (2002) model using the UDF are very good related to the results obtained using the Schnerr & Sauer (2001) and Zwart et al. (2004) models. The compatibility level is more than 95%.
Values of the rI correlation coefficients for each pair of considered models
| Schnerr & Sauer (2001) interface | Schnerr & Sauer (2001) UDF | Singhal et al. (2002) interface | Singhal et al. (2002) UDF | Zwart et al. (2004) interface | Zwart et al. (2004) UDF | |
|---|---|---|---|---|---|---|
| Schnerr & Sauer (2001) interface | – | 0.956 | 0.474 | 0.960 | 0.989 | 0.949 |
| Schnerr & Sauer (2001) UDF | 0.956 | – | 0.518 | 0.972 | 0.945 | 0.993 |
| Singhal et al. (2002) interface | 0.474 | 0.518 | – | 0.495 | 0.465 | 0.519 |
| Singhal et al. (2002) UDF | 0.960 | 0.972 | 0.495 | – | 0.955 | 0.971 |
| Zwart et al. (2004) interface | 0.989 | 0.945 | 0.465 | 0.955 | – | 0.942 |
| Zwart et al. (2004) UDF | 0.949 | 0.993 | 0.519 | 0.971 | 0.942 | – |
| Schnerr & Sauer (2001) interface | Schnerr & Sauer (2001) UDF | Singhal et al. (2002) interface | Singhal et al. (2002) UDF | Zwart et al. (2004) interface | Zwart et al. (2004) UDF | |
|---|---|---|---|---|---|---|
| Schnerr & Sauer (2001) interface | – | 0.956 | 0.474 | 0.960 | 0.989 | 0.949 |
| Schnerr & Sauer (2001) UDF | 0.956 | – | 0.518 | 0.972 | 0.945 | 0.993 |
| Singhal et al. (2002) interface | 0.474 | 0.518 | – | 0.495 | 0.465 | 0.519 |
| Singhal et al. (2002) UDF | 0.960 | 0.972 | 0.495 | – | 0.955 | 0.971 |
| Zwart et al. (2004) interface | 0.989 | 0.945 | 0.465 | 0.955 | – | 0.942 |
| Zwart et al. (2004) UDF | 0.949 | 0.993 | 0.519 | 0.971 | 0.942 | – |
The coefficients showing correlations between the UDF and interface implementations are shown in bold.