Table 2.
Median, median absolute deviation, mean and maximum variability ratios for all pair combinations of source groups; ratios in bold pass the threshold values for further inclusion in the apportionment modelling.
| Two-cluster | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Median | χlf | χfd | χARM | SIRM | BackIRM | HIRM | R | G | B | HRGB | IRGB | SRGB | SI | HI | CI | RI |
| Cluster 1 (35 samples) | 0.72 | 43.57 | 6.32 | 7.33 | 6.01 | 0.68 | 182.1 | 147.1 | 124.4 | 2.98 | 151.73 | 28.75 | 0.19 | 4.03 | 0.11 | 0.84 |
| Cluster 2 (64 samples) | 0.34 | 16.85 | 2.73 | 4.08 | 3.09 | 0.49 | 187.3 | 158.2 | 135.05 | 1.26 | 160.22 | 24.85 | 0.16 | 3.46 | 0.08 | 0.64 |
| Median absolute deviation | ||||||||||||||||
| Cluster 1 | 0.53 | 46.23 | 6.35 | 6.03 | 5.32 | 0.38 | 4 | 3.11 | 3.11 | 0.37 | 2.77 | 2.59 | 0.02 | 0.2 | 0.01 | 0.05 |
| Cluster 2 | 0.19 | 13.64 | 2.28 | 2.32 | 2.12 | 0.18 | 5.93 | 4.89 | 4.74 | 0.78 | 4.87 | 2.52 | 0.01 | 0.27 | 0.01 | 0.07 |
| Mean variability ratio | 1.7 | 1.7 | 1.43 | 1.15 | 1.2 | 0.8 | 1.06 | 2.9 | 2.85 | 3.66 | 2.3 | 1.64 | 2.38 | 2.59 | 2.83 | 3.8 |
| Max variability ratio | 1.7 | 1.7 | 1.43 | 1.15 | 1.2 | 0.8 | 1.06 | 2.9 | 2.85 | 3.66 | 2.3 | 1.64 | 2.38 | 2.59 | 2.83 | 3.8 |
| Three-cluster | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Median | Xlf | xfd | XARM | SIRM | BackIRM | HIRM | R | G | B | HRGB | IRGB | SRGB | SI | HI | CI | RI |
| Cluster 1 (11 samples) | 1.35 | 108.71 | 14.46 | 16.64 | 13.85 | 1.39 | 183 | 145.4 | 121.2 | 3.13 | 149.53 | 31.4 | 0.2 | 4.05 | 0.11 | 0.89 |
| Cluster 2 (38 samples) | 0.45 | 22.9 | 3.28 | 5 | 4 | 0.52 | 182.3 | 149.2 | 127.1 | 2.62 | 152.67 | 28 | 0.18 | 3.91 | 0.1 | 0.78 |
| Cluster 3 (50 samples) | 0.34 | 16.59 | 2.73 | 4.01 | 3.09 | 0.5 | 187.15 | 160.8 | 137.8 | 1.06 | 161.95 | 24.7 | 0.15 | 3.36 | 0.08 | 0.62 |
| Median absolute deviation | ||||||||||||||||
| Cluster 1 | 0.36 | 24.56 | 7.21 | 4.08 | 2.47 | 0.33 | 3.71 | 5.11 | 2.82 | 0.72 | 4.47 | 1.19 | 0.01 | 0.29 | 0 | 0.05 |
| Cluster 2 | 0.3 | 21.8 | 2.96 | 3.38 | 2.91 | 0.21 | 5.93 | 5.04 | 5.19 | 0.52 | 4.15 | 1.26 | 0.01 | 0.23 | 0.01 | 0.09 |
| Cluster 3 | 0.16 | 11.78 | 1.95 | 2.23 | 1.89 | 0.17 | 5.49 | 5.34 | 4.45 | 0.54 | 5.31 | 1.74 | 0.01 | 0.17 | 0.01 | 0.04 |
| Mean variability ratio | 4.69 | 7.04 | 4.39 | 4.86 | 5.43 | 3.95 | 0.64 | 2.08 | 2.96 | 3.88 | 1.82 | 3.55 | 4.13 | 2.33 | 5.54 | 4.02 |
| Max variability ratio | 7.89 | 11.86 | 7.08 | 7.86 | 8.81 | 6.24 | 0.92 | 3.1 | 4.93 | 5.27 | 2.65 | 5.01 | 6.07 | 3.37 | 8.22 | 7.06 |
| Four-cluster | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Median | Xlf | Xfd | XARM | SIRM | BackIRM | HIRM | R | G | B | HRGB | IRGB | SRGB | SI | HI | CI | RI |
| Cluster 1 (31 samples) | 0.54 | 28.37 | 3.8 | 5.35 | 4.24 | 0.54 | 182.1 | 148.2 | 125.5 | 2.8 | 151.77 | 28 | 0.18 | 4 | 0.1 | 0.81 |
| Cluster 2 (47 samples) | 0.3 | 14.8 | 2.55 | 3.89 | 2.9 | 0.46 | 187.1 | 157.6 | 134.9 | 1.3 | 159.9 | 25.2 | 0.16 | 3.47 | 0.08 | 0.65 |
| Cluster 3 (10 samples) | 1.41 | 112.15 | 15.42 | 16.72 | 13.85 | 1.41 | 182.45 | 143.7 | 121.2 | 3.21 | 148.43 | 31.1 | 0.2 | 4.16 | 0.11 | 0.89 |
| Cluster 4 (11 samples) | 0.57 | 35.1 | 6.03 | 5.71 | 4.6 | 0.57 | 189.7 | 165.9 | 144.5 | 0.58 | 166.8 | 22.2 | 0.13 | 3.21 | 0.07 | 0.55 |
| Median absolute deviation | ||||||||||||||||
| Cluster 1 | 0.29 | 23.71 | 3.67 | 3.18 | 2.76 | 0.22 | 4.45 | 3.11 | 2.97 | 0.37 | 2.72 | 1.26 | 0.01 | 0.2 | 0.01 | 0.05 |
| Cluster 2 | 0.14 | 10.21 | 1.97 | 2.04 | 1.61 | 0.16 | 5.93 | 3.26 | 3.41 | 0.59 | 3.11 | 1.33 | 0.01 | 0.2 | 0.01 | 0.04 |
| Cluster 3 | 0.34 | 16.59 | 4.08 | 4.08 | 2.47 | 0.3 | 4.23 | 5.26 | 3.85 | 0.72 | 5.54 | 1.45 | 0.01 | 0.24 | 0.01 | 0.06 |
| Cluster 4 | 0.32 | 26.51 | 4.65 | 1.71 | 1.65 | 0.11 | 3.26 | 2.67 | 3.85 | 0.3 | 2.37 | 3.85 | 0.02 | 0.13 | 0 | 0.02 |
| Mean Variability Ratio | 4.68 | 7.07 | 4.6 | 4.67 | 5.41 | 4.11 | 1.09 | 3.87 | 4.04 | 8.26 | 3.39 | 3.03 | 3.99 | 3.45 | 6.33 | 6.58 |
| Max Variability Ratio | 10.46 | 15.71 | 9.75 | 10.42 | 11.88 | 9.25 | 2.01 | 6.64 | 6.57 | 12.39 | 6.3 | 5.35 | 5.98 | 6.05 | 11.6 | 12.54 |
| Geology classification 1 | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Median | Xlf | Xfd | XARM | SIRM | BackIRM | HIRM | R | G | B | HRGB | IRGB | SRGB | SI | HI | CI | RI |
| Ironstone | 1.18 | 102.32 | 13.64 | 13.15 | 10.94 | 1.18 | 183 | 145.4 | 121.2 | 2.94 | 149.53 | 31.28 | 0.2 | 4.01 | 0.11 | 0.89 |
| Sand, lime, clay and banks | 0.36 | 17.64 | 2.73 | 4.47 | 3.36 | 0.5 | 184.7 | 156.75 | 134.05 | 1.61 | 158.67 | 25.67 | 0.16 | 3.57 | 0.08 | 0.67 |
| Median absolute deviation | ||||||||||||||||
| Ironstone | 0.55 | 66.32 | 8.74 | 5.97 | 4.72 | 0.38 | 4.52 | 6.15 | 4.97 | 0.52 | 4.65 | 1.37 | 0.01 | 0.21 | 0.01 | 0.06 |
| Sand, lime, clay and banks | 0.21 | 14.12 | 2.26 | 2.73 | 2.25 | 0.18 | 5.93 | 7.04 | 6.75 | 1.02 | 7.02 | 3.04 | 0.02 | 0.34 | 0.02 | 0.08 |
| Mean variability ratio | 4.34 | 6.63 | 5.45 | 3.65 | 4.1 | 3.96 | 0.33 | 1.79 | 2.32 | 2.03 | 1.62 | 2.69 | 3.2 | 1.65 | 2.77 | 3.52 |
| Max variability ratio | 4.34 | 6.63 | 5.45 | 3.65 | 4.1 | 3.96 | 0.33 | 1.79 | 2.32 | 2.03 | 1.62 | 2.69 | 3.2 | 1.65 | 2.77 | 3.52 |
| Geology classification 2 | ||||||||||||||||
| Median | Xlf | Xfd | XARM | SIRM | BackIRM | HIRM | R | G | B | HRGB | IRGB | SRGB | SI | HI | CI | RI |
| Ironstone | 1.18 | 102.32 | 13.64 | 13.15 | 10.94 | 1.18 | 183 | 145.4 | 121.2 | 2.94 | 149.53 | 31.28 | 0.2 | 4.01 | 0.11 | 0.89 |
| Sandstone | 0.37 | 19.58 | 3.49 | 4.75 | 3.59 | 0.57 | 190.4 | 161.4 | 138.7 | 1.65 | 162.97 | 27.45 | 0.16 | 3.56 | 0.09 | 0.62 |
| Lime, clay and banks | 0.35 | 16.73 | 2.46 | 4.06 | 3.07 | 0.46 | 183.3 | 154.9 | 132.2 | 1.57 | 157.33 | 25.65 | 0.16 | 3.59 | 0.08 | 0.68 |
| Median absolute deviation | ||||||||||||||||
| Ironstone | 0.55 | 66.32 | 8.74 | 5.97 | 4.72 | 0.38 | 4.52 | 6.15 | 4.97 | 0.52 | 4.65 | 1.37 | 0.01 | 0.21 | 0.01 | 0.06 |
| Sandstone | 0.11 | 10.83 | 1.54 | 2.15 | 1.83 | 0.13 | 4 | 4.15 | 6.82 | 0.7 | 3.31 | 2.74 | 0.02 | 0.18 | 0.02 | 0.09 |
| Lime, clay and banks | 0.23 | 16.82 | 1.97 | 2.65 | 2.27 | 0.15 | 5.63 | 8.01 | 7.12 | 1.19 | 6.47 | 2.52 | 0.02 | 0.41 | 0.02 | 0.11 |
| Mean variability ratio | 3.44 | 4.74 | 4.61 | 2.83 | 3.1 | 3.43 | 1.11 | 1.93 | 2.05 | 1.53 | 2.06 | 1.96 | 2.18 | 1.3 | 1.96 | 2.4 |
| Max variability ratio | 5.93 | 7.81 | 6.86 | 4.14 | 4.64 | 4.98 | 1.77 | 3.23 | 3.2 | 2.65 | 3.5 | 3.09 | 3.34 | 2.4 | 2.94 | 3.65 |
Bold values signify values exceeding the threshold of 1 for the mean variability ratio and 2 for the maximum variability ratio.