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| Salers |
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| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | 25 | 26 | 27 | 28 | 29 | 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 |
| 1 | 0.066 | 0.036 | 0.028 | 0.029 | 0.024 | 0.026 | 0.056 | 0.027 | 0.030 | 0.032 | 0.031 | 0.029 | 0.033 | 0.030 | 0.030 | 0.023 | 0.019 | 0.020 | 0.027 | 0.030 | 0.030 | 0.029 | 0.029 | 0.025 | 0.028 | 0.036 | 0.026 | 0.028 | 0.035 | 0.028 | 0.016 | 0.025 | 0.024 | 0.027 | 0.014 | 0.011 | 0.011 | 0.020 | 0.026 |
| 2 | | 0.302 | 0.038 | 0.029 | 0.033 | 0.035 | 0.034 | 0.048 | 0.068 | 0.034 | 0.048 | 0.046 | 0.050 | 0.046 | 0.066 | 0.029 | 0.020 | 0.023 | 0.045 | 0.061 | 0.071 | 0.050 | 0.030 | 0.037 | 0.032 | 0.037 | 0.036 | 0.039 | 0.034 | 0.041 | 0.018 | 0.036 | 0.033 | 0.030 | 0.016 | 0.012 | 0.018 | 0.023 | 0.035 |
| 3 | | | 0.131 | 0.033 | 0.044 | 0.040 | 0.031 | 0.047 | 0.051 | 0.042 | 0.046 | 0.058 | 0.094 | 0.037 | 0.049 | 0.036 | 0.024 | 0.028 | 0.043 | 0.052 | 0.045 | 0.050 | 0.037 | 0.056 | 0.049 | 0.069 | 0.035 | 0.057 | 0.042 | 0.046 | 0.029 | 0.050 | 0.068 | 0.045 | 0.018 | 0.017 | 0.017 | 0.034 | 0.043 |
| 4 | | | | 0.152 | 0.029 | 0.035 | 0.031 | 0.029 | 0.034 | 0.038 | 0.040 | 0.032 | 0.031 | 0.026 | 0.034 | 0.026 | 0.028 | 0.025 | 0.032 | 0.034 | 0.029 | 0.035 | 0.041 | 0.036 | 0.039 | 0.032 | 0.029 | 0.031 | 0.064 | 0.067 | 0.016 | 0.027 | 0.031 | 0.111 | 0.026 | 0.016 | 0.021 | 0.026 | 0.034 |
| 5 | | | | | 0.157 | 0.040 | 0.023 | 0.039 | 0.047 | 0.034 | 0.041 | 0.048 | 0.051 | 0.033 | 0.046 | 0.114 | 0.023 | 0.024 | 0.037 | 0.051 | 0.041 | 0.045 | 0.034 | 0.040 | 0.043 | 0.039 | 0.032 | 0.039 | 0.031 | 0.040 | 0.024 | 0.042 | 0.041 | 0.031 | 0.018 | 0.017 | 0.016 | 0.023 | 0.039 |
| 6 | | | | | | 0.133 | 0.027 | 0.048 | 0.056 | 0.073 | 0.040 | 0.049 | 0.048 | 0.035 | 0.048 | 0.036 | 0.025 | 0.024 | 0.044 | 0.061 | 0.048 | 0.050 | 0.042 | 0.034 | 0.040 | 0.042 | 0.034 | 0.061 | 0.034 | 0.044 | 0.019 | 0.043 | 0.048 | 0.037 | 0.018 | 0.017 | 0.016 | 0.024 | 0.047 |
| 7 | | | | | | | 0.292 | 0.024 | 0.025 | 0.038 | 0.029 | 0.026 | 0.028 | 0.022 | 0.025 | 0.023 | 0.026 | 0.021 | 0.022 | 0.027 | 0.023 | 0.025 | 0.037 | 0.024 | 0.032 | 0.035 | 0.024 | 0.027 | 0.082 | 0.029 | 0.019 | 0.022 | 0.022 | 0.032 | 0.018 | 0.015 | 0.012 | 0.019 | 0.027 |
| 8 | | | | | | | | 0.071 | 0.084 | 0.043 | 0.058 | 0.057 | 0.062 | 0.048 | 0.085 | 0.034 | 0.020 | 0.026 | 0.060 | 0.083 | 0.079 | 0.061 | 0.031 | 0.045 | 0.036 | 0.043 | 0.042 | 0.051 | 0.034 | 0.051 | 0.027 | 0.046 | 0.044 | 0.033 | 0.019 | 0.014 | 0.023 | 0.028 | 0.043 |
| 9 | | | | | | | | | 0.224 | 0.048 | 0.082 | 0.083 | 0.083 | 0.069 | 0.128 | 0.039 | 0.021 | 0.030 | 0.086 | 0.118 | 0.122 | 0.085 | 0.032 | 0.051 | 0.042 | 0.047 | 0.054 | 0.064 | 0.041 | 0.061 | 0.022 | 0.070 | 0.049 | 0.037 | 0.020 | 0.014 | 0.030 | 0.030 | 0.051 |
| 10 | | | | | | | | | | 0.166 | 0.038 | 0.042 | 0.041 | 0.031 | 0.041 | 0.034 | 0.026 | 0.026 | 0.039 | 0.053 | 0.038 | 0.044 | 0.052 | 0.035 | 0.042 | 0.046 | 0.032 | 0.057 | 0.046 | 0.050 | 0.021 | 0.039 | 0.045 | 0.057 | 0.019 | 0.017 | 0.016 | 0.026 | 0.047 |
| 11 | | | | | | | | | | | 0.272 | 0.090 | 0.086 | 0.057 | 0.096 | 0.034 | 0.022 | 0.028 | 0.058 | 0.083 | 0.073 | 0.133 | 0.032 | 0.047 | 0.050 | 0.038 | 0.046 | 0.043 | 0.049 | 0.059 | 0.020 | 0.072 | 0.037 | 0.047 | 0.026 | 0.016 | 0.027 | 0.026 | 0.043 |
| 12 | | | | | | | | | | | | 0.118 | 0.116 | 0.063 | 0.094 | 0.039 | 0.023 | 0.028 | 0.065 | 0.088 | 0.072 | 0.100 | 0.036 | 0.046 | 0.050 | 0.044 | 0.044 | 0.053 | 0.037 | 0.053 | 0.020 | 0.102 | 0.046 | 0.033 | 0.020 | 0.017 | 0.022 | 0.027 | 0.049 |
| 13 | | | | | | | | | | | | | 0.301 | 0.065 | 0.085 | 0.039 | 0.023 | 0.030 | 0.066 | 0.087 | 0.072 | 0.099 | 0.034 | 0.054 | 0.054 | 0.078 | 0.044 | 0.061 | 0.038 | 0.052 | 0.022 | 0.104 | 0.063 | 0.031 | 0.019 | 0.016 | 0.021 | 0.032 | 0.048 |
| 14 | | | | | | | | | | | | | | 0.178 | 0.077 | 0.028 | 0.016 | 0.022 | 0.053 | 0.067 | 0.096 | 0.065 | 0.025 | 0.038 | 0.033 | 0.033 | 0.034 | 0.039 | 0.028 | 0.041 | 0.016 | 0.054 | 0.033 | 0.026 | 0.015 | 0.012 | 0.018 | 0.022 | 0.037 |
| 15 | | | | | | | | | | | | | | | 0.211 | 0.036 | 0.021 | 0.028 | 0.079 | 0.117 | 0.130 | 0.090 | 0.032 | 0.056 | 0.041 | 0.047 | 0.057 | 0.054 | 0.040 | 0.061 | 0.021 | 0.065 | 0.043 | 0.041 | 0.019 | 0.014 | 0.038 | 0.029 | 0.047 |
| 16 | | | | | | | | | | | | | | | | 0.226 | 0.028 | 0.024 | 0.032 | 0.044 | 0.033 | 0.037 | 0.045 | 0.035 | 0.032 | 0.037 | 0.032 | 0.035 | 0.028 | 0.037 | 0.018 | 0.037 | 0.036 | 0.028 | 0.018 | 0.019 | 0.017 | 0.023 | 0.034 |
| 17 | | | | | | | | | | | | | | | | | 0.059 | 0.018 | 0.019 | 0.023 | 0.018 | 0.021 | 0.053 | 0.023 | 0.022 | 0.023 | 0.031 | 0.020 | 0.029 | 0.031 | 0.014 | 0.020 | 0.019 | 0.035 | 0.026 | 0.048 | 0.014 | 0.021 | 0.021 |
| 18 | | | | | | | | | | | | | | | | | | 0.020 | 0.024 | 0.032 | 0.027 | 0.028 | 0.025 | 0.027 | 0.026 | 0.026 | 0.023 | 0.026 | 0.025 | 0.028 | 0.017 | 0.026 | 0.025 | 0.027 | 0.016 | 0.014 | 0.015 | 0.020 | 0.025 |
| 19 | | | | | | | | | | | | | | | | | | | 0.140 | 0.083 | 0.072 | 0.065 | 0.030 | 0.041 | 0.035 | 0.038 | 0.040 | 0.050 | 0.033 | 0.054 | 0.018 | 0.063 | 0.039 | 0.034 | 0.018 | 0.012 | 0.019 | 0.025 | 0.052 |
| 20 | | | | | | | | | | | | | | | | | | | | 0.304 | 0.119 | 0.094 | 0.033 | 0.057 | 0.051 | 0.046 | 0.064 | 0.067 | 0.041 | 0.059 | 0.025 | 0.072 | 0.053 | 0.036 | 0.023 | 0.015 | 0.028 | 0.030 | 0.057 |
| 21 | | | | | | | | | | | | | | | | | | | | | 0.273 | 0.078 | 0.027 | 0.051 | 0.035 | 0.042 | 0.060 | 0.054 | 0.033 | 0.059 | 0.019 | 0.049 | 0.042 | 0.031 | 0.017 | 0.011 | 0.029 | 0.027 | 0.043 |
| 22 | | | | | | | | | | | | | | | | | | | | | | 0.215 | 0.033 | 0.050 | 0.046 | 0.040 | 0.046 | 0.051 | 0.041 | 0.057 | 0.020 | 0.084 | 0.043 | 0.035 | 0.021 | 0.016 | 0.023 | 0.027 | 0.048 |
| 23 | | | | | | | | | | | | | | | | | | | | | | | 0.177 | 0.035 | 0.032 | 0.036 | 0.043 | 0.032 | 0.045 | 0.058 | 0.017 | 0.032 | 0.028 | 0.055 | 0.028 | 0.040 | 0.019 | 0.027 | 0.032 |
| 24 | | | | | | | | | | | | | | | | | | | | | | | | 0.110 | 0.045 | 0.044 | 0.049 | 0.043 | 0.036 | 0.044 | 0.028 | 0.038 | 0.042 | 0.039 | 0.020 | 0.016 | 0.025 | 0.027 | 0.068 |
| 25 | | | | | | | | | | | | | | | | | | | | | | | | | 0.182 | 0.039 | 0.029 | 0.039 | 0.040 | 0.042 | 0.025 | 0.046 | 0.044 | 0.043 | 0.026 | 0.017 | 0.017 | 0.027 | 0.045 |
| 26 | | | | | | | | | | | | | | | | | | | | | | | | | | 0.124 | 0.035 | 0.055 | 0.036 | 0.044 | 0.019 | 0.036 | 0.053 | 0.039 | 0.017 | 0.015 | 0.017 | 0.027 | 0.038 |
| 27 | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.164 | 0.035 | 0.030 | 0.042 | 0.019 | 0.036 | 0.030 | 0.030 | 0.023 | 0.021 | 0.020 | 0.023 | 0.039 |
| 28 | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.119 | 0.033 | 0.047 | 0.021 | 0.044 | 0.073 | 0.035 | 0.018 | 0.013 | 0.018 | 0.026 | 0.076 |
| 29 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.165 | 0.064 | 0.019 | 0.032 | 0.030 | 0.098 | 0.024 | 0.017 | 0.017 | 0.026 | 0.037 |
| 30 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.190 | 0.021 | 0.042 | 0.038 | 0.131 | 0.023 | 0.018 | 0.024 | 0.037 | 0.038 |
| 31 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.127 | 0.018 | 0.022 | 0.018 | 0.018 | 0.014 | 0.014 | 0.019 | 0.025 |
| 32 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.266 | 0.042 | 0.029 | 0.018 | 0.016 | 0.016 | 0.025 | 0.042 |
| 33 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.241 | 0.031 | 0.017 | 0.014 | 0.016 | 0.027 | 0.053 |
| 34 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.261 | 0.026 | 0.018 | 0.026 | 0.034 | 0.032 |
| 35 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.121 | 0.031 | 0.022 | 0.016 | 0.022 |
| 36 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.264 | 0.010 | 0.017 | 0.014 |
| 37 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.249 | 0.013 | 0.023 |
| 38 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.133 | 0.023 |
| 39 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 0.289 |
Between Clusters | | |
| | n | Mean | Variance |
| | 4438 | 0.0369 | 0.0012 |
| | | |
| | | |
| Within Cluster | | |
| | n | Mean | Bulls in Repository |
| Cluster 1 | 244 | 0.06585 | 23 |
| Cluster 2 | 28 | 0.30213 | |
| Cluster 3 | 102 | 0.13142 | |
| Cluster 4 | 123 | 0.15156 | |
| Cluster 5 | 89 | 0.15707 | |
| Cluster 6 | 81 | 0.13333 | |
| Cluster 7 | 32 | 0.29208 | |
| Cluster 8 | 340 | 0.07070 | 5 |
| Cluster 9 | 66 | 0.22406 | |
| Cluster 10 | 117 | 0.16574 | |
| Cluster 11 | 55 | 0.27195 | |
| Cluster 12 | 363 | 0.11832 | 2 |
| Cluster 13 | 39 | 0.30066 | |
| Cluster 14 | 87 | 0.17824 | |
| Cluster 15 | 136 | 0.21091 | |
| Cluster 16 | 82 | 0.22563 | |
| Cluster 17 | 202 | 0.05932 | |
| Cluster 18 | 870 | 0.01967 | 70 |
| Cluster 19 | 87 | 0.14000 | |
| Cluster 20 | 45 | 0.30354 | |
| Cluster 21 | 38 | 0.27330 | |
| Cluster 22 | 72 | 0.21536 | |
| Cluster 23 | 83 | 0.17723 | |
| Cluster 24 | 125 | 0.10997 | |
| Cluster 25 | 75 | 0.18183 | |
| Cluster 26 | 87 | 0.12413 | |
| Cluster 27 | 46 | 0.16375 | |
| Cluster 28 | 138 | 0.11914 | |
| Cluster 29 | 69 | 0.16478 | |
| Cluster 30 | 94 | 0.19043 | |
| Cluster 31 | 77 | 0.12737 | |
| Cluster 32 | 49 | 0.26599 | |
| Cluster 33 | 44 | 0.24088 | 1 |
| Cluster 34 | 57 | 0.26073 | |
| Cluster 35 | 57 | 0.12122 | |
| Cluster 36 | 31 | 0.26361 | |
| Cluster 37 | 25 | 0.24899 | |
| Cluster 38 | 53 | 0.13329 | |
| Cluster 39 | 30 | 0.28930 | |