Multivariate responses
Peter Ralph
1 February 2021 – Advanced Biological Statistics
When you’ve got more than one response variable
How often do you really just measure one thing?
Even if you’re interested in just one thing, how often is there one way to measure it?
Examples
how oral and axillary temperature depend on age and treatment
how gene expression in four tissue types varies with time of day, sex, and metabolic state
how jaw length and eye size vary with age and habitat
Things we might want to know
How do the responses depend on the predictors?
How do the responses covary after accounting for the predictors?
\(\ast\) “predictor” = “explanatory variable”
Multivariate model
Suppose the responses, \((X_1, \ldots, X_k)\) depend on the predictors \((Y_1, \ldots, Y_m)\).
\[\begin{aligned} \text{(response)}_1 &= \text{(intercept)}_1 + \text{(predictors)}_1 + \text{(noise)}_1 \\ \vdots & \qquad \vdots \\ \text{(response)}_k &= \text{(intercept)}_k + \text{(predictors)}_k + \text{(noise)}_k \end{aligned}\]
In symbols, \[\begin{aligned} X_1 &= \beta_{0,1} + \beta_{1,1} Y_1 + \cdots + \beta_{m,1} Y_m + \epsilon_1 \\ \vdots & \qquad \vdots \\ X_k &= \beta_{0,k} + \beta_{1,k} Y_1 + \cdots + \beta_{m,k} Y_m + \epsilon_k \end{aligned}\]
and the noise is \[\begin{aligned} \epsilon &\sim \MVN(0, \Sigma) . \end{aligned}\]
(interlude on the multivariate normal distribution)
Baby birds
https://doi.org/10.1086/662172
Their data, at ../Datasets/Incubation_temperature/nestling_biometric_data.txt:
nestlings <- read.table("../Datasets/Incubation_temperature/nestling_biometric_data.txt", header=TRUE, stringsAsFactors=TRUE)
nestlings$treat <- factor(nestlings$treat, levels=c("L", "M", "H")) # enforce a sensible ordering## id nest treat mass6 tars6 mass14 tars14 wing14 laydate year
## 1 CK59989 690 H 5.1 11.10 10.8 18.20 41.0 17 2010
## 2 CK59990 690 H 5.6 12.30 11.2 19.00 42.0 17 2010
## 3 CK59991 690 H 5.8 12.00 11.6 18.80 43.0 17 2010
## 4 CK59992 690 H 5.9 12.40 12.0 19.30 42.5 17 2010
## 5 CK59993 690 H 5.6 11.30 12.6 19.40 42.0 17 2010
## 6 CK59994 690 H 5.7 11.20 11.6 18.40 42.0 17 2010
## 7 CK59995 690 H 5.4 11.60 11.1 18.50 42.0 17 2010
## 8 CK59996 690 H 5.7 12.30 11.8 18.90 41.5 17 2010
## 9 CK59997 690 H 5.3 11.20 11.7 18.60 39.5 17 2010
## 10 CK59998 690 H 4.6 10.20 12.2 18.80 41.0 17 2010
## 11 CK59979 623 M 5.3 11.30 11.2 19.20 41.0 17 2010
## 12 CK59980 623 M 4.7 10.50 9.9 18.40 38.5 17 2010
## 13 CK59981 623 M 5.2 11.00 9.4 18.00 38.5 17 2010
## 14 CK59982 623 M 4.6 9.80 9.7 17.40 38.5 17 2010
## 15 CK59983 623 M 5.1 10.90 9.7 18.40 38.0 17 2010
## 16 CK59984 623 M 4.4 9.80 9.3 17.70 37.5 17 2010
## 17 CK59985 623 M 5.3 11.20 11.3 18.80 40.0 17 2010
## 18 CK59810 623 M 3.7 9.20 7.2 15.50 28.5 17 2010
## 19 <NA> 623 M 3.0 8.90 NA NA NA 17 2010
## 20 CK59986 867 L 4.8 9.80 10.8 17.70 38.5 17 2010
## 21 CK59987 867 L 6.2 11.10 12.1 18.10 43.5 17 2010
## 22 CK59988 867 L 5.6 10.50 11.2 17.50 41.5 17 2010
## 23 CK59812 867 L 3.8 9.80 9.4 17.00 35.5 17 2010
## 24 CK59813 H8 M 5.3 10.80 10.7 18.40 40.5 18 2010
## 25 CK59814 H8 M 4.4 10.10 10.2 18.60 37.0 18 2010
## 26 CK59815 H8 M 4.0 9.30 10.3 18.00 34.5 18 2010
## 27 CK59816 H8 M 5.0 10.60 10.2 18.50 39.5 18 2010
## 28 CK59817 H8 M 5.1 10.60 10.5 18.30 40.0 18 2010
## 29 CL77375 H8 M 2.6 NA 9.2 17.30 31.0 18 2010
## 30 CK59961 515 M 3.8 9.50 10.6 17.70 34.5 16 2010
## 31 CK59962 515 M 3.8 9.10 NA NA NA 16 2010
## 32 CK59963 515 M 4.8 10.20 11.5 18.60 37.5 16 2010
## 33 CK59964 515 M 4.3 9.60 11.4 17.60 35.0 16 2010
## 34 <NA> 515 M 2.6 8.20 NA NA NA 16 2010
## 35 CK59806 161 H 5.4 10.90 11.0 18.60 41.0 19 2010
## 36 CK59807 161 H 4.7 10.00 10.1 17.80 39.5 19 2010
## 37 CK59808 161 H 5.6 10.60 11.8 18.80 42.0 19 2010
## 38 CK59809 161 H 4.9 10.00 11.1 18.50 40.0 19 2010
## 39 CL77376 161 H 3.2 8.20 10.2 17.30 32.5 19 2010
## 40 <NA> 161 H 2.9 8.40 NA NA NA 19 2010
## 41 CK59999 82 H 3.4 9.30 NA NA NA 18 2010
## 42 CK59801 82 H 4.2 10.00 NA NA NA 18 2010
## 43 CK59802 82 H 4.1 9.70 NA NA NA 18 2010
## 44 CK59803 82 H 4.3 10.10 NA NA NA 18 2010
## 45 CK59804 82 H 4.3 10.10 NA NA NA 18 2010
## 46 CK59805 82 H 4.2 10.70 NA NA NA 18 2010
## 47 CK59818 82 H 3.4 9.30 NA NA NA 18 2010
## 48 <NA> 82 H 2.7 8.60 NA NA NA 18 2010
## 49 <NA> 82 H 2.3 8.50 NA NA NA 18 2010
## 50 CK59819 119 M 5.4 11.40 11.1 18.40 41.0 19 2010
## 51 CK59820 119 M 6.1 11.90 10.8 18.20 41.5 19 2010
## 52 CK59821 119 M 4.7 10.40 10.3 17.50 38.5 19 2010
## 53 CK59822 119 M 6.0 11.60 11.6 19.10 41.5 19 2010
## 54 CK59823 119 M 5.0 10.30 11.4 18.00 39.5 19 2010
## 55 CK59824 119 M 5.7 11.10 11.3 18.00 42.0 19 2010
## 56 CK59825 510 L 6.3 11.30 10.8 18.40 41.5 19 2010
## 57 CK59826 510 L 5.7 10.80 11.1 18.20 41.0 19 2010
## 58 CK59827 510 L 6.1 11.20 10.9 18.40 41.0 19 2010
## 59 CK59828 510 L 5.9 10.60 10.3 17.40 40.0 19 2010
## 60 1 694 M 5.3 10.30 11.6 17.80 43.0 20 2010
## 61 2 694 M 6.4 11.70 11.1 18.10 39.0 20 2010
## 62 3 694 M 5.9 11.20 11.3 18.20 43.0 20 2010
## 63 4 694 M 4.3 9.30 11.1 18.70 41.0 20 2010
## 64 5 694 M 6.2 11.40 11.6 18.40 43.0 20 2010
## 65 6 694 M 6.1 11.30 10.5 18.30 41.5 20 2010
## 66 7 694 M 4.8 10.10 11.2 18.50 41.5 20 2010
## 67 8 694 M 5.8 11.10 11.5 19.30 44.5 20 2010
## 68 CK59850 61 M 3.7 9.00 NA NA NA 18 2010
## 69 CK59851 61 M 4.3 9.90 NA NA NA 18 2010
## 70 CK59852 61 M 5.1 10.40 NA NA NA 18 2010
## 71 CK59853 61 M 4.3 9.70 NA NA NA 18 2010
## 72 CK59854 61 M 3.0 9.20 NA NA NA 18 2010
## 73 CK59855 61 M 3.9 9.40 NA NA NA 18 2010
## 74 CK59856 61 M 4.8 10.30 NA NA NA 18 2010
## 75 CK59857 545 H 4.2 9.20 11.3 18.70 37.5 21 2010
## 76 CK59858 545 H 4.5 10.00 11.2 18.30 37.5 21 2010
## 77 CK59859 545 H 4.9 10.40 11.7 18.60 39.0 21 2010
## 78 CK59860 545 H 3.7 9.10 10.7 18.30 36.0 21 2010
## 79 CK59861 545 H 3.7 8.90 10.6 18.70 36.0 21 2010
## 80 CK59862 545 H 4.3 9.30 11.7 18.40 38.0 21 2010
## 81 CK59863 545 H 4.8 10.10 11.0 18.90 39.0 21 2010
## 82 CK59864 223 H 5.2 10.50 9.7 18.10 39.5 18 2010
## 83 CK59865 223 H 5.8 11.80 10.3 18.20 41.0 18 2010
## 84 CK59866 223 H 5.6 10.90 9.5 18.40 40.0 18 2010
## 85 CK59867 223 H 5.8 11.60 9.6 18.20 41.0 18 2010
## 86 CK59868 223 H 6.0 11.50 9.7 18.40 40.0 18 2010
## 87 CK59869 223 H 5.8 11.40 10.3 18.80 40.5 18 2010
## 88 CK59870 223 H 5.7 11.30 10.0 18.30 40.0 18 2010
## 89 CK59871 223 H 4.9 9.60 10.0 18.70 38.5 18 2010
## 90 CK59872 223 H 4.8 10.40 9.7 17.60 39.5 18 2010
## 91 CK59890 806 L 5.4 10.30 NA NA NA 20 2010
## 92 CK59891 806 L 4.8 9.80 NA NA NA 20 2010
## 93 CK59892 806 L 5.3 10.14 NA NA NA 20 2010
## 94 CK59893 806 L 3.3 7.90 NA NA NA 20 2010
## 95 CK59894 806 L 5.2 10.90 NA NA NA 20 2010
## 96 CK59895 806 L 4.0 9.40 NA NA NA 20 2010
## 97 CK59896 806 L 4.9 10.10 NA NA NA 20 2010
## 98 CK59897 284 M 6.0 10.90 NA NA NA 20 2010
## 99 CK59898 284 M 6.8 12.00 NA NA NA 20 2010
## 100 CK59899 284 M 6.0 11.10 NA NA NA 20 2010
## 101 CL77300 284 M 5.2 10.20 NA NA NA 20 2010
## 102 CL77301 284 M 5.2 10.20 NA NA NA 20 2010
## 103 CL77302 284 M 6.4 11.80 NA NA NA 20 2010
## 104 CL77303 284 M 5.4 10.60 NA NA NA 20 2010
## 105 <NA> 284 M 2.8 7.60 NA NA NA 20 2010
## 106 CL77304 68 M 5.1 10.50 9.4 17.60 37.0 17 2010
## 107 CL77305 68 M 4.8 9.80 9.3 17.70 36.0 17 2010
## 108 CL77306 68 M 5.7 10.70 10.8 18.50 40.5 17 2010
## 109 CL77307 68 M 3.1 8.40 NA NA NA 17 2010
## 110 CL77308 68 M 5.1 10.60 10.5 17.30 40.0 17 2010
## 111 CL77309 68 M 4.2 9.60 NA NA NA 17 2010
## 112 CL77310 68 M 4.1 9.70 9.1 17.50 34.0 17 2010
## 113 CL77311 68 M 5.4 10.30 NA NA NA 17 2010
## 114 CL77312 68 M 5.0 10.50 10.7 17.60 37.0 17 2010
## 115 CL77313 68 M 4.6 10.50 9.3 17.40 36.0 17 2010
## 116 CL77314 68 M 5.2 10.80 9.7 17.80 39.0 17 2010
## 117 <NA> 68 M 4.1 NA NA NA NA 17 2010
## 118 CL77315 60 L 4.4 9.80 NA NA NA 18 2010
## 119 CL77316 60 L 5.1 10.40 NA NA NA 18 2010
## 120 CL77317 60 L 4.7 10.40 NA NA NA 18 2010
## 121 CL77318 60 L 4.6 10.20 NA NA NA 18 2010
## 122 CL77319 60 L 5.3 10.20 NA NA NA 18 2010
## 123 CL77320 637 M 5.2 10.20 10.6 18.40 39.5 21 2010
## 124 CL77321 637 M 6.3 11.80 11.3 18.70 41.0 21 2010
## 125 CL77322 637 M 6.3 11.70 11.1 18.80 40.0 21 2010
## 126 CL77323 637 M 6.6 11.70 11.6 19.00 41.0 21 2010
## 127 CL77324 637 M 5.2 10.20 10.7 18.60 37.5 21 2010
## 128 CL77325 637 M 4.3 8.20 10.3 18.20 37.0 21 2010
## 129 CL77326 637 M 5.6 10.70 10.6 18.10 39.0 21 2010
## 130 CL77327 637 M 5.8 11.20 11.1 18.90 39.0 21 2010
## 131 CL77328 247 L 6.4 11.10 12.6 17.90 44.0 18 2010
## 132 CL77329 247 L 6.1 11.50 11.1 18.20 43.0 18 2010
## 133 CL77330 247 L 5.7 11.30 11.2 18.20 43.5 18 2010
## 134 CL77331 247 L 5.1 9.70 10.5 17.80 40.5 18 2010
## 135 CL77332 247 L 5.3 10.60 10.7 18.40 41.5 18 2010
## 136 CL77338 365 H 5.2 10.60 11.5 17.70 39.5 21 2010
## 137 CL77339 365 H 4.0 9.50 10.5 17.80 35.5 21 2010
## 138 CL77340 365 H 3.8 9.60 10.7 18.30 36.0 21 2010
## 139 CL77341 365 H 4.5 9.80 10.4 17.50 39.0 21 2010
## 140 CL77342 365 H 3.8 9.70 10.3 17.80 35.0 21 2010
## 141 CL77343 365 H 5.3 11.50 11.7 18.80 42.0 21 2010
## 142 CL77344 365 H 5.9 11.40 13.0 18.70 42.5 21 2010
## 143 <NA> 365 H 2.7 8.00 NA NA NA 21 2010
## 144 CL77345 571 M 6.4 11.10 10.6 18.10 40.5 20 2010
## 145 CL77346 571 M 5.4 10.10 11.2 18.30 39.5 20 2010
## 146 CL77347 571 M 5.7 10.90 11.3 18.50 41.0 20 2010
## 147 CL77348 571 M 6.3 11.50 11.5 18.50 41.5 20 2010
## 148 CL77349 571 M 4.0 8.90 9.6 17.30 35.0 20 2010
## 149 CL77350 571 M 6.1 11.20 11.2 17.80 41.0 20 2010
## 150 CL77351 571 M 6.1 10.90 10.6 18.00 41.0 20 2010
## 151 CL77352 571 M 4.8 10.00 11.4 18.50 40.0 20 2010
## 152 CL77353 571 M 3.7 8.20 8.0 16.90 29.0 20 2010
## 153 CL77354 571 M 5.8 11.00 10.7 17.60 40.5 20 2010
## 154 CL77355 191 H 6.2 12.20 11.9 19.40 42.5 24 2010
## 155 CL77356 191 H 6.5 12.20 12.6 19.10 42.0 24 2010
## 156 CL77357 191 H 6.3 12.10 12.1 19.10 42.5 24 2010
## 157 CL77358 191 H 4.3 9.40 11.8 18.90 36.5 24 2010
## 158 CL77359 191 H 7.0 12.50 12.9 18.80 44.0 24 2010
## 159 CL77360 191 H 4.4 9.50 10.8 18.20 37.0 24 2010
## 160 CL77361 191 H 6.0 12.00 12.5 19.20 42.0 24 2010
## 161 CL77362 524 L 6.3 11.60 12.4 19.00 42.0 23 2010
## 162 CL77363 524 L 7.0 11.90 11.8 18.00 44.0 23 2010
## 163 CL77364 524 L 7.6 12.60 12.4 18.60 41.5 23 2010
## 164 1ER79930 89 H 7.3 13.30 12.3 19.10 44.5 27 2010
## 165 1ER79931 89 H 7.9 13.30 12.8 19.40 46.0 27 2010
## 166 1ER79932 89 H 7.0 12.50 12.2 19.10 44.0 27 2010
## 167 1ER79933 89 H 6.4 12.30 12.5 19.00 41.5 27 2010
## 168 1ER79934 89 H 5.6 11.10 10.8 18.40 40.0 27 2010
## 169 1ER79935 89 H 6.7 12.40 11.8 18.70 44.0 27 2010
## 170 1ER79936 89 H 6.7 12.60 11.5 19.00 42.0 27 2010
## 171 1ER79937 89 H 7.8 13.00 11.8 18.70 45.0 27 2010
## 172 1ER79938 89 H 6.6 12.80 11.3 18.90 43.0 27 2010
## 173 <NA> 89 H 2.9 7.50 NA NA NA 27 2010
## 174 1ER79939 729 M 6.9 12.40 10.8 19.40 43.0 24 2010
## 175 1ER79940 729 M 7.8 13.20 12.2 19.30 45.0 24 2010
## 176 1ER79941 729 M 7.2 13.20 11.1 19.10 44.0 24 2010
## 177 1ER79942 729 M 5.3 11.40 9.6 18.40 41.0 24 2010
## 178 1ER79943 729 M 7.3 13.00 11.0 18.80 45.0 24 2010
## 179 1ER79944 729 M 7.1 13.00 10.7 18.70 41.0 24 2010
## 180 1ER79945 729 M 7.8 12.90 11.9 18.70 43.5 24 2010
## 181 1ER79946 729 M 5.0 11.20 10.5 18.70 39.5 24 2010
## 182 1ER79947 729 M 5.8 11.80 10.6 18.30 40.0 24 2010
## 183 1ER79948 729 M 7.1 13.30 11.9 19.10 44.5 24 2010
## 184 1ER79949 729 M 6.7 12.70 10.7 18.70 41.0 24 2010
## 185 1ER79951 176 H 5.9 11.20 11.8 19.00 40.0 28 2010
## 186 1ER79952 176 H 6.6 12.20 12.4 19.50 42.0 28 2010
## 187 1ER79953 176 H 6.6 12.50 12.8 19.80 43.0 28 2010
## 188 CL77379 176 H 6.0 12.10 11.8 18.80 35.5 28 2010
## 189 1ER79955 176 H 5.6 11.30 11.7 19.30 42.5 28 2010
## 190 1ER79956 176 H 5.1 10.40 12.0 19.40 39.0 28 2010
## 191 1ER79957 176 H 5.2 10.40 12.5 19.00 39.5 28 2010
## 192 <NA> 176 H 3.8 8.50 NA NA NA 28 2010
## 193 1ER79959 695 L 4.6 9.80 11.7 18.60 40.0 27 2010
## 194 1ER79960 695 L 7.8 12.80 11.8 18.50 46.0 27 2010
## 195 1ER79961 695 L 7.4 12.50 12.7 18.30 45.5 27 2010
## 196 1ER79962 695 L 7.3 12.90 11.4 18.80 46.0 27 2010
## 197 1ER79963 695 L 6.2 11.50 12.3 19.40 43.0 27 2010
## 198 1ER79826 695 L 3.7 8.60 11.6 18.50 37.0 27 2010
## 199 1ER79827 695 L 2.1 NA 9.8 17.30 25.5 27 2010
## 200 1ER79966 215 M 6.3 12.10 NA NA NA 25 2010
## 201 1ER79967 215 M 6.6 12.30 NA NA NA 25 2010
## 202 1ER79968 215 M 5.2 10.40 NA NA NA 25 2010
## 203 1ER79969 215 M 6.4 12.00 NA NA NA 25 2010
## 204 1ER79970 215 M 6.6 11.90 NA NA NA 25 2010
## 205 1ER79971 215 M 6.6 11.70 NA NA NA 25 2010
## 206 1ER79972 215 M 6.3 11.80 NA NA NA 25 2010
## 207 1ER79973 215 M 5.8 11.50 NA NA NA 25 2010
## 208 1ER79974 215 M 5.7 10.20 NA NA NA 25 2010
## 209 <NA> 215 M 3.3 8.70 NA NA NA 25 2010
## 210 1ER79975 96 L 6.5 11.20 10.4 17.00 43.5 21 2010
## 211 1ER79976 96 L 5.2 10.60 11.6 18.00 40.5 21 2010
## 212 1ER79977 96 L 6.2 11.70 11.6 18.00 45.0 21 2010
## 213 1ER79979 96 L 5.4 11.10 9.8 16.60 43.0 21 2010
## 214 1ER79980 96 L 5.6 10.80 10.2 16.80 42.5 21 2010
## 215 1ER79981 96 L 4.7 9.50 NA NA NA 21 2010
## 216 1ER79982 654 H 6.3 12.20 10.9 19.10 41.5 26 2010
## 217 1ER79983 654 H 5.6 11.00 10.8 18.10 40.5 26 2010
## 218 1ER79984 654 H 5.0 10.10 11.0 18.70 38.5 26 2010
## 219 1ER79985 654 H 6.1 11.60 11.2 19.20 41.0 26 2010
## 220 1ER79986 654 H 5.6 11.70 11.0 18.30 40.0 26 2010
## 221 1ER79987 654 H 6.1 11.70 10.3 18.50 41.0 26 2010
## 222 1ER79988 654 H 6.6 12.30 11.1 19.20 43.0 26 2010
## 223 1ER79989 654 H 5.5 11.30 11.2 19.20 40.5 26 2010
## 224 1ER79830 654 H 2.9 8.20 9.3 17.10 31.0 26 2010
## 225 1ER79990 211 M 6.1 11.30 11.6 18.80 42.0 28 2010
## 226 1ER79991 211 M 6.7 12.20 11.4 18.40 44.0 28 2010
## 227 1ER79992 211 M 6.1 11.50 11.7 19.00 42.5 28 2010
## 228 1ER79993 211 M 5.4 10.90 11.4 18.70 42.5 28 2010
## 229 1ER79994 211 M 6.4 12.00 11.5 19.40 44.5 28 2010
## 230 1ER79995 211 M 7.3 13.20 11.9 19.30 45.0 28 2010
## 231 1ER79996 211 M 6.6 11.50 11.6 18.40 42.0 28 2010
## 232 1ER79997 211 M 5.4 10.80 11.6 18.90 41.5 28 2010
## 233 1ER79837 211 M 3.6 8.70 10.8 17.50 35.5 28 2010
## 234 1ER79838 211 M 2.7 7.30 10.0 17.60 30.0 28 2010
## 235 1ER79700 625 M 6.7 12.60 9.2 18.40 41.5 24 2010
## 236 1ER79701 625 M 6.3 12.40 10.9 18.40 41.5 24 2010
## 237 1ER79702 625 M 6.7 12.40 11.4 18.20 41.0 24 2010
## 238 1ER79703 625 M 4.5 9.80 NA NA NA 24 2010
## 239 1ER79704 625 M 6.2 11.70 10.3 17.80 42.0 24 2010
## 240 1ER79705 625 M 5.6 11.20 10.1 17.70 39.5 24 2010
## 241 1ER79706 625 M 5.2 10.80 10.6 18.50 38.0 24 2010
## 242 1ER79707 625 M 6.7 12.40 10.5 18.40 43.0 24 2010
## 243 1ER79708 625 M 6.1 11.50 10.6 18.00 43.0 24 2010
## 244 1ER79709 625 M 5.7 10.60 11.1 18.20 41.0 24 2010
## 245 1ER79710 625 M 7.6 12.70 11.6 18.30 43.0 24 2010
## 246 1ER79713 213 H 6.5 12.20 12.1 19.00 42.0 28 2010
## 247 1ER79714 213 H 6.6 12.40 11.9 19.40 42.0 28 2010
## 248 1ER79715 213 H 6.6 12.40 11.7 18.90 40.5 28 2010
## 249 1ER79716 213 H 7.1 12.80 12.3 19.20 41.0 28 2010
## 250 1ER79717 213 H 6.2 9.70 10.8 18.10 38.0 28 2010
## 251 1ER79718 213 H 7.5 13.10 12.4 19.90 43.5 28 2010
## 252 1ER79719 213 H 6.7 12.10 11.7 18.30 42.0 28 2010
## 253 1ER79720 213 H 6.1 12.00 11.6 18.80 39.5 28 2010
## 254 1ER79856 213 H 3.2 8.20 10.5 18.10 33.0 28 2010
## 255 1ER79726 779 H 7.1 12.60 11.7 18.00 45.0 29 2010
## 256 1ER79727 779 H 4.6 9.30 12.5 18.20 44.5 29 2010
## 257 1ER79728 779 H 6.9 12.50 12.5 18.20 44.5 29 2010
## 258 1ER79729 779 H 6.2 11.60 11.5 18.20 41.5 29 2010
## 259 1ER79730 779 H 7.4 12.80 11.8 19.10 44.0 29 2010
## 260 1ER79731 779 H 7.3 12.50 12.3 18.40 42.5 29 2010
## 261 1ER79732 779 H 7.3 12.60 12.4 18.70 42.0 29 2010
## 262 1ER79733 779 H 5.6 11.40 10.9 18.10 38.0 29 2010
## 263 1ER79734 779 H 5.8 10.70 11.5 17.70 39.0 29 2010
## 264 1ER79735 779 H 6.7 12.50 11.5 18.10 45.0 29 2010
## 265 1ER79737 112 H 5.6 11.60 NA NA NA 29 2010
## 266 1ER79738 112 H 4.4 10.00 NA NA NA 29 2010
## 267 1ER79739 112 H 5.6 11.40 NA NA NA 29 2010
## 268 1ER79740 112 H 4.7 10.70 NA NA NA 29 2010
## 269 1ER79741 112 H 6.5 12.10 NA NA NA 29 2010
## 270 1ER79858 112 H 3.7 9.00 NA NA NA 29 2010
## 271 1ER79743 112 H 4.3 9.40 NA NA NA 29 2010
## 272 1ER79744 112 H 5.4 10.70 NA NA NA 29 2010
## 273 1ER79745 112 H 6.4 12.10 NA NA NA 29 2010
## 274 1ER79746 112 H 6.2 12.00 NA NA NA 29 2010
## 275 <NA> 112 H 2.3 NA NA NA NA 29 2010
## 276 1ER79747 727 L 5.3 10.40 12.2 18.50 42.0 26 2010
## 277 1ER79748 727 L 5.3 10.40 11.3 18.00 40.0 26 2010
## 278 1ER79749 727 L 4.4 9.20 10.8 18.40 37.0 26 2010
## 279 1ER79750 727 L 5.6 10.50 11.4 18.50 41.5 26 2010
## 280 1ER79752 29 L 7.2 12.40 NA NA NA 28 2010
## 281 1ER79753 29 L 6.3 11.60 NA NA NA 28 2010
## 282 1ER79754 29 L 4.1 9.20 NA NA NA 28 2010
## 283 1ER79756 29 L 6.6 12.10 NA NA NA 28 2010
## 284 1ER79757 29 L 6.4 11.90 NA NA NA 28 2010
## 285 1ER79857 29 L 3.9 8.80 NA NA NA 28 2010
## 286 1ER79759 608 M 5.9 11.10 NA NA NA 29 2010
## 287 1ER79760 608 M 5.5 11.40 NA NA NA 29 2010
## 288 1ER79761 608 M 6.1 11.20 NA NA NA 29 2010
## 289 1ER79762 608 M 5.2 10.40 NA NA NA 29 2010
## 290 1ER79763 608 M 4.3 9.60 NA NA NA 29 2010
## 291 1ER79764 608 M 6.7 12.00 NA NA NA 29 2010
## 292 1ER79765 608 M 5.7 11.40 NA NA NA 29 2010
## 293 1ER79766 860 L 5.3 10.30 12.1 18.10 42.0 28 2010
## 294 1ER79767 860 L 5.8 9.80 12.5 18.50 40.5 28 2010
## 295 1ER79768 860 L 5.4 10.60 12.2 18.50 42.5 28 2010
## 296 1ER79769 860 L 5.6 10.80 12.4 18.90 42.5 28 2010
## 297 1ER79770 860 L 5.5 10.40 12.7 18.20 43.0 28 2010
## 298 1ER79771 860 L 5.8 10.80 11.7 17.50 42.5 28 2010
## 299 1ER79772 860 L 5.9 10.90 12.1 18.00 43.0 28 2010
## 300 1ER79773 94 M 6.6 13.20 11.8 19.10 45.0 26 2010
## 301 1ER79774 94 M 6.7 12.70 11.5 18.70 44.5 26 2010
## 302 1ER79775 94 M 6.4 12.80 11.2 19.10 44.0 26 2010
## 303 1ER79776 94 M 6.4 13.00 11.0 19.60 43.0 26 2010
## 304 1ER79777 94 M 6.5 12.40 11.1 18.50 39.5 26 2010
## 305 1ER79778 94 M 6.6 12.30 11.0 18.60 42.5 26 2010
## 306 1ER79779 94 M 6.3 12.40 10.1 18.50 45.0 26 2010
## 307 1ER79780 94 M 5.4 11.80 10.6 18.70 43.0 26 2010
## 308 1ER79781 94 M 6.0 12.50 10.3 18.70 44.0 26 2010
## 309 1ER79782 94 M 6.0 12.60 10.0 18.10 44.0 26 2010
## 310 1ER79783 648 M 6.2 11.60 11.5 18.70 39.5 30 2010
## 311 1ER79784 648 M 6.3 11.40 11.8 18.60 41.0 30 2010
## 312 1ER79785 648 M 6.3 11.50 10.9 17.60 39.5 30 2010
## 313 1ER79786 648 M 6.0 10.70 11.5 17.80 39.0 30 2010
## 314 1ER79787 648 M 4.7 9.70 NA NA NA 30 2010
## 315 1ER79788 648 M 6.1 11.40 11.3 17.90 39.5 30 2010
## 316 1ER79789 648 M 6.1 11.70 11.7 18.60 40.0 30 2010
## 317 1ER79790 648 M 4.8 9.80 10.3 17.40 36.0 30 2010
## 318 <NA> 648 M 3.0 7.80 NA NA NA 30 2010
## 319 1ER79791 689 M 5.3 10.70 11.5 19.40 40.0 32 2010
## 320 1ER79792 689 M 4.2 9.80 10.2 18.10 36.5 32 2010
## 321 1ER79793 689 M 6.3 12.50 11.7 19.60 43.0 32 2010
## 322 1ER79794 689 M 5.3 11.40 10.6 19.50 40.0 32 2010
## 323 1ER79795 689 M 5.4 11.20 10.8 19.30 40.5 32 2010
## 324 1ER79796 689 M 4.8 10.40 9.7 18.70 38.0 32 2010
## 325 1ER79797 689 M 3.9 9.10 9.6 17.90 35.5 32 2010
## 326 1ER79798 689 M 4.6 10.20 10.5 18.80 38.5 32 2010
## 327 1ER79808 364 H 7.1 12.40 11.4 18.80 42.5 30 2010
## 328 1ER79809 364 H 6.9 12.30 12.0 19.10 43.5 30 2010
## 329 1ER79810 364 H 7.0 12.30 11.8 19.50 43.5 30 2010
## 330 1ER79811 364 H 6.2 11.70 11.6 19.50 42.0 30 2010
## 331 1ER79812 364 H 4.2 9.40 NA NA NA 30 2010
## 332 1ER79813 364 H 7.1 12.10 12.7 19.20 43.5 30 2010
## 333 1ER79814 364 H 6.9 12.20 11.1 18.20 43.0 30 2010
## 334 1ER79815 364 H 7.3 12.10 11.5 19.20 44.0 30 2010
## 335 1ER79816 364 H 6.8 12.30 12.3 19.60 41.0 30 2010
## 336 1ER79817 364 H 6.9 12.30 11.6 19.00 44.0 30 2010
## 337 1ER79818 506 L 5.5 11.50 12.3 19.50 43.5 31 2010
## 338 1ER79819 506 L 6.1 12.00 12.8 19.80 43.0 31 2010
## 339 1ER79820 506 L 6.7 12.70 12.3 19.40 45.0 31 2010
## 340 1ER79821 506 L 6.2 11.90 12.7 19.70 44.0 31 2010
## 341 1ER79822 506 L 6.2 12.30 11.8 19.20 44.0 31 2010
## 342 1ER79823 506 L 5.2 11.50 11.3 18.30 41.0 31 2010
## 343 1ER17601 838 H 6.4 11.60 11.2 18.60 41.0 16 2009
## 344 1ER17602 838 H 4.9 9.80 10.3 17.70 39.5 16 2009
## 345 1ER17603 838 H 6.6 11.30 11.2 18.20 40.5 16 2009
## 346 1ER17604 838 H 6.9 11.30 11.1 17.90 43.0 16 2009
## 347 1ER17605 838 H 6.2 10.30 10.1 17.20 39.0 16 2009
## 348 1ER17606 838 H 4.1 8.90 9.4 17.60 29.0 16 2009
## 349 1ER17607 838 H 6.1 10.70 11.0 17.90 41.0 16 2009
## 350 1ER17608 838 H 6.4 11.70 10.6 17.60 43.0 16 2009
## 351 <NA> 838 H 3.2 8.20 NA NA NA 16 2009
## 352 1EP51290 617 H 7.1 11.50 12.2 18.70 45.0 17 2009
## 353 1EP51291 617 H 6.3 10.50 12.9 18.60 42.5 17 2009
## 354 1EP51292 617 H 6.0 10.20 12.3 18.60 42.0 17 2009
## 355 1EP51294 247 H 6.0 10.80 11.4 18.10 41.0 15 2009
## 356 1EP51295 247 H 5.8 10.90 11.3 18.40 43.0 15 2009
## 357 1EP51296 247 H 5.7 10.30 11.1 18.50 42.0 15 2009
## 358 1EP51297 247 H 5.8 9.80 12.6 18.60 40.0 15 2009
## 359 1EP51298 247 H 4.6 9.10 10.8 18.40 39.0 15 2009
## 360 1EP51299 247 H 5.9 10.30 11.2 17.80 41.0 15 2009
## 361 1ER17600 247 H 5.8 10.70 11.0 17.80 42.0 15 2009
## 362 1ER17610 21 M 6.2 11.30 12.1 19.10 44.5 16 2009
## 363 1ER17611 21 M 6.1 10.80 12.1 19.00 41.5 16 2009
## 364 1ER17612 21 M 5.8 10.60 11.5 18.40 44.0 16 2009
## 365 1ER17613 21 M 5.0 9.90 11.8 18.70 42.5 16 2009
## 366 1ER17614 21 M 6.4 11.60 12.4 18.70 44.0 16 2009
## 367 1ER17615 21 M 6.8 11.60 12.4 18.80 44.0 16 2009
## 368 1ER17616 21 M 6.9 11.40 12.2 18.50 44.0 16 2009
## 369 1ER17617 21 M 4.6 8.50 11.7 17.70 39.5 16 2009
## 370 1ER17618 21 M 5.4 10.40 11.8 18.10 43.0 16 2009
## 371 1ER17620 7001 L 5.2 10.10 13.1 18.90 40.5 18 2009
## 372 1ER17621 7001 L 4.3 9.40 12.5 18.30 34.0 18 2009
## 373 1ER17622 7001 L 5.0 9.60 12.4 18.40 39.0 18 2009
## 374 1ER17623 7001 L 4.9 9.20 12.9 18.20 39.0 18 2009
## 375 1ER17624 7001 L 4.6 9.30 12.3 18.10 38.5 18 2009
## 376 <NA> 7001 L 4.0 8.70 NA NA NA 18 2009
## 377 <NA> 7001 L 3.7 8.40 NA NA NA 18 2009
## 378 <NA> 7001 L 1.3 NA NA NA NA 18 2009
## 379 1ER17627 875 L 6.6 11.10 10.4 18.30 42.5 14 2009
## 380 1ER17628 875 L 5.7 10.80 10.2 18.40 40.5 14 2009
## 381 1ER17629 875 L 5.6 9.80 10.9 18.90 39.5 14 2009
## 382 1ER17630 875 L 5.2 9.60 10.5 17.70 38.5 14 2009
## 383 1ER17631 875 L 5.0 9.60 10.4 18.30 40.5 14 2009
## 384 1ER17632 875 L 4.6 9.30 10.3 17.90 38.0 14 2009
## 385 1ER17633 875 L 5.6 9.80 10.3 17.80 40.0 14 2009
## 386 1ER17636 674 H 3.9 8.40 NA NA NA 18 2009
## 387 1ER17637 674 H 6.1 10.90 NA NA NA 18 2009
## 388 1ER17638 674 H 6.0 10.60 NA NA NA 18 2009
## 389 1ER17937 674 H 3.8 8.40 NA NA NA 18 2009
## 390 1ER17640 674 H 5.8 10.70 NA NA NA 18 2009
## 391 1ER17641 674 H 6.3 11.10 NA NA NA 18 2009
## 392 1ER17642 674 H 4.8 9.40 NA NA NA 18 2009
## 393 1ER17643 674 H 5.4 9.90 NA NA NA 18 2009
## 394 1ER17644 674 H 5.7 10.70 NA NA NA 18 2009
## 395 1ER17645 674 H 5.3 10.20 NA NA NA 18 2009
## 396 1ER17646 674 H 6.2 10.80 NA NA NA 18 2009
## 397 1ER17649 4 M 6.2 10.90 11.3 18.30 42.5 18 2009
## 398 1ER17650 4 M 5.9 10.70 11.3 18.00 42.0 18 2009
## 399 1ER17651 4 M 7.2 11.00 12.7 18.30 42.5 18 2009
## 400 1ER17652 4 M 5.8 10.30 11.7 18.40 40.0 18 2009
## 401 1ER17653 4 M 6.1 11.10 12.4 19.30 43.0 18 2009
## 402 1ER17654 4 M 5.8 10.10 12.2 18.10 42.0 18 2009
## 403 1ER17655 4 M 6.3 11.00 12.2 19.20 42.0 18 2009
## 404 1ER17936 4 M 3.5 7.90 11.0 17.20 35.0 18 2009
## 405 1ER17671 836 L 7.2 12.20 11.9 18.55 44.5 17 2009
## 406 1ER17672 836 L 6.0 11.60 11.7 18.72 46.0 17 2009
## 407 1ER17673 836 L 6.7 12.50 11.5 18.52 47.0 17 2009
## 408 1ER17674 836 L 6.7 12.30 11.8 18.49 45.5 17 2009
## 409 1ER17675 836 L 7.3 12.10 12.8 18.81 47.0 17 2009
## 410 1ER17676 836 L 7.0 12.70 11.7 18.97 45.0 17 2009
## 411 1ER17677 836 L 5.7 10.90 11.6 18.93 42.0 17 2009
## 412 1ER17678 836 L 6.8 12.20 11.9 19.20 46.5 17 2009
## 413 1ER17679 836 L 5.1 10.10 11.4 19.25 43.0 17 2009
## 414 1ER17200 753 M 5.6 10.20 NA NA NA 18 2009
## 415 1ER17201 753 M 5.9 10.30 NA NA NA 18 2009
## 416 1ER17202 753 M 6.7 10.90 NA NA NA 18 2009
## 417 1ER17203 753 M 6.3 11.00 NA NA NA 18 2009
## 418 1ER17691 548 M 6.9 11.90 11.6 18.40 45.5 19 2009
## 419 1ER17692 548 M 5.6 10.80 11.4 17.70 43.0 19 2009
## 420 1ER17693 548 M 4.8 9.80 11.4 17.70 40.0 19 2009
## 421 1ER17694 548 M 6.3 11.90 11.3 18.30 44.0 19 2009
## 422 1ER17695 548 M 5.7 11.20 11.3 17.40 43.0 19 2009
## 423 1ER17696 548 M 6.8 12.00 12.5 17.90 45.0 19 2009
## 424 1ER17697 548 M 6.0 11.40 12.6 18.60 45.5 19 2009
## 425 1ER17698 548 M 5.7 10.90 12.1 18.40 43.5 19 2009
## 426 1ER17699 548 M 6.4 11.50 11.7 17.70 45.5 19 2009
## 427 1ER17969 548 M 4.2 8.00 11.2 17.10 39.5 19 2009
## 428 1ER17214 277 L 5.6 10.70 10.3 18.00 39.5 17 2009
## 429 1ER17215 277 L 5.5 10.60 10.7 17.90 39.0 17 2009
## 430 1ER17216 277 L 6.2 11.50 11.0 18.40 42.0 17 2009
## 431 1ER17217 277 L 6.7 12.00 11.7 18.60 42.0 17 2009
## 432 1ER17218 277 L 6.4 11.40 11.2 17.90 42.0 17 2009
## 433 1ER17219 277 L 5.3 9.30 10.3 17.40 37.0 17 2009
## 434 1ER17220 277 L 6.1 11.10 10.9 18.20 41.5 17 2009
## 435 1ER17970 277 L 3.2 7.70 6.7 15.10 26.5 17 2009
## 436 1ER17682 207 M 4.6 9.60 12.5 19.30 43.0 19 2009
## 437 1ER17683 207 M 6.2 11.30 11.5 18.40 43.0 19 2009
## 438 1ER17684 207 M 5.7 10.40 12.4 19.00 42.5 19 2009
## 439 1ER17685 207 M 6.2 11.90 11.6 18.40 43.5 19 2009
## 440 1ER17686 207 M 5.7 10.70 12.0 19.00 44.0 19 2009
## 441 1ER17687 207 M 6.7 11.80 12.5 18.80 45.0 19 2009
## 442 1ER17688 207 M 4.2 9.00 10.8 18.10 37.0 19 2009
## 443 1ER17689 207 M 7.2 12.30 12.5 19.30 45.5 19 2009
## 444 1ER17690 207 M 6.7 12.20 11.7 19.00 45.0 19 2009
## 445 1ER17206 7009 H 7.3 11.50 12.4 18.20 45.0 18 2009
## 446 1ER17207 7009 H 7.7 12.00 12.6 18.80 45.5 18 2009
## 447 1ER17208 7009 H 5.9 11.30 11.9 18.50 43.0 18 2009
## 448 1ER17209 7009 H 5.3 9.40 11.9 17.80 41.0 18 2009
## 449 1ER17210 7009 H 7.8 11.80 12.2 18.20 44.0 18 2009
## 450 1ER17211 7009 H 6.3 8.80 12.6 18.30 42.0 18 2009
## 451 1ER17212 7009 H 6.9 10.90 11.4 17.30 42.5 18 2009
## 452 1ER17663 H8 L 5.0 10.30 NA NA NA 17 2009
## 453 1ER17664 H8 L 5.6 10.60 10.6 18.60 44.0 17 2009
## 454 1ER17665 H8 L 6.6 12.20 11.9 19.40 45.0 17 2009
## 455 1ER17666 H8 L 5.0 9.80 11.5 18.70 42.0 17 2009
## 456 1ER17667 H8 L 6.2 11.40 11.2 19.10 43.0 17 2009
## 457 1ER17668 H8 L 6.4 12.20 11.1 19.20 45.0 17 2009
## 458 1ER17669 H8 L 5.4 10.50 11.1 18.40 41.5 17 2009
## 459 1ER17968 H8 L 3.8 7.90 10.4 16.50 38.0 17 2009
## 460 1ER17221 730 H 5.3 10.10 11.4 18.10 40.0 16 2009
## 461 1ER17222 730 H 5.7 10.50 12.4 18.30 42.5 16 2009
## 462 1ER17223 730 H 5.5 10.50 10.7 17.90 41.0 16 2009
## 463 1ER17227 693 L 7.7 12.20 13.4 19.20 47.5 20 2009
## 464 1ER17228 693 L 6.3 11.20 11.8 18.30 42.5 20 2009
## 465 1ER17229 693 L 5.6 9.80 12.3 17.70 42.0 20 2009
## 466 1ER17230 693 L 4.7 9.10 12.3 18.80 40.0 20 2009
## 467 1ER17231 693 L 5.8 10.90 10.8 18.70 42.0 20 2009
## 468 1ER17232 693 L 6.8 11.70 11.8 18.60 45.5 20 2009
## 469 1ER17233 693 L 7.1 12.00 11.9 18.50 46.0 20 2009
## 470 1ER17234 693 L 4.8 9.20 11.7 17.50 40.5 20 2009
## 471 1ER17235 606 L 5.7 10.60 11.2 18.10 43.0 19 2009
## 472 1ER17236 606 L 6.1 11.30 10.6 17.90 45.0 19 2009
## 473 1ER17237 606 L 4.2 8.90 11.5 18.50 39.5 19 2009
## 474 1ER17238 606 L 5.6 10.70 11.9 18.60 44.0 19 2009
## 475 1ER17239 606 L 5.6 11.10 11.5 18.70 45.0 19 2009
## 476 1ER17240 606 L 4.7 10.00 11.2 18.70 42.0 19 2009
## 477 1ER17241 606 L 6.4 11.40 12.0 18.50 44.5 19 2009
## 478 1ER17242 606 L 6.1 11.20 11.4 18.40 45.0 19 2009
## 479 1ER17243 606 L 6.0 11.30 11.6 18.10 44.5 19 2009
## 480 1ER17244 606 L 5.6 10.60 10.3 18.20 43.0 19 2009
## 481 1ER17245 606 L 5.4 10.70 11.1 18.30 43.5 19 2009
## 482 1ER17246 533 L 4.3 9.10 10.7 17.10 38.0 18 2009
## 483 1ER17247 533 L 5.9 11.00 12.0 17.70 42.0 18 2009
## 484 1ER17248 533 L 5.4 10.80 11.9 17.60 41.5 18 2009
## 485 1ER17249 533 L 6.4 11.70 12.6 17.80 43.0 18 2009
## 486 1ER17250 533 L 6.7 12.10 12.4 18.00 45.0 18 2009
## 487 1ER17251 533 L 5.7 11.20 11.8 18.00 43.0 18 2009
## 488 1ER17252 533 L 6.6 11.80 12.6 18.10 44.0 18 2009
## 489 1ER17253 533 L 7.4 12.50 12.9 18.50 46.0 18 2009
## 490 1ER17254 533 L 6.2 11.70 12.1 18.50 43.5 18 2009
## 491 1ER17255 533 L 6.7 12.30 13.1 18.90 45.0 18 2009
## 492 <NA> 533 L 1.9 NA NA NA NA 18 2009
## 493 1ER17256 7004 M 7.2 12.10 11.6 17.80 42.0 19 2009
## 494 1ER17257 7004 M 6.9 12.30 11.8 17.90 40.5 19 2009
## 495 1ER17258 7004 M 6.8 12.30 12.0 18.60 42.0 19 2009
## 496 1ER17259 7004 M 5.4 10.80 10.8 18.10 38.0 19 2009
## 497 1ER17260 7004 M 6.1 11.70 10.8 17.90 38.5 19 2009
## 498 1ER17261 7004 M 7.4 12.70 12.2 18.80 43.0 19 2009
## 499 1ER17262 7004 M 6.7 12.10 12.2 18.40 43.0 19 2009
## 500 1ER17275 863 H 7.3 12.80 12.7 19.60 46.5 22 2009
## 501 1ER17276 863 H 6.3 12.00 12.7 19.30 45.5 22 2009
## 502 1ER17277 863 H 7.1 12.20 11.3 18.50 42.5 22 2009
## 503 1ER17278 863 H 7.3 12.80 12.2 19.00 47.0 22 2009
## 504 1ER17279 863 H 6.9 12.10 13.3 20.00 43.0 22 2009
## 505 1ER17280 863 H 7.4 12.50 12.2 19.70 46.0 22 2009
## 506 1ER17281 863 H 5.6 10.00 12.5 18.80 40.0 22 2009
## 507 1ER17282 863 H 5.1 9.80 11.4 18.50 40.0 22 2009
## 508 1ER17283 863 H 7.1 12.30 12.1 18.70 44.0 22 2009
## 509 1ER17264 78 M 4.6 10.30 NA NA NA 21 2009
## 510 1ER17265 78 M 5.3 11.10 NA NA NA 21 2009
## 511 1ER17266 78 M 5.2 10.70 NA NA NA 21 2009
## 512 1ER17267 78 M 6.6 11.70 NA NA NA 21 2009
## 513 1ER17268 78 M 5.6 11.60 NA NA NA 21 2009
## 514 1ER17269 78 M 6.2 11.60 NA NA NA 21 2009
## 515 1ER17270 78 M 6.3 11.70 NA NA NA 21 2009
## 516 1ER17271 78 M 5.8 11.90 NA NA NA 21 2009
## 517 1ER17272 78 M 5.8 11.40 NA NA NA 21 2009
## 518 <NA> 78 M 3.2 8.50 NA NA NA 21 2009
## 519 1ER17431 771 L 7.0 12.50 12.9 18.70 45.0 24 2009
## 520 1ER17432 771 L 6.3 11.40 12.6 18.30 44.0 24 2009
## 521 1ER17433 771 L 6.3 11.70 11.7 18.00 42.0 24 2009
## 522 1ER17434 771 L 5.7 10.70 9.2 16.40 36.5 24 2009
## 523 1ER17435 771 L 6.9 12.90 12.1 18.60 46.0 24 2009
## 524 1ER17436 771 L 7.4 12.70 13.2 18.70 45.5 24 2009
## 525 1ER17437 771 L 4.6 9.70 13.3 18.40 45.0 24 2009
## 526 1ER79505 771 L 2.4 NA 10.3 16.70 29.0 24 2009
## 527 1ER17407 274 H 5.6 10.20 NA NA NA 23 2009
## 528 1ER17408 274 H 5.2 9.90 NA NA NA 23 2009
## 529 1ER17409 274 H 6.2 10.90 NA NA NA 23 2009
## 530 1ER17410 274 H 5.3 10.00 NA NA NA 23 2009
## 531 1ER17411 274 H 5.6 10.10 NA NA NA 23 2009
## 532 1ER17412 274 H 5.8 10.30 NA NA NA 23 2009
## 533 1ER17413 274 H 6.3 10.80 NA NA NA 23 2009
## 534 1ER17414 274 H 4.7 9.30 NA NA NA 23 2009
## 535 <NA> 274 H 3.5 7.90 NA NA NA 23 2009
## 536 1ER17296 203 M 5.8 11.10 12.4 18.40 40.0 23 2009
## 537 1ER17297 203 M 4.1 8.70 11.2 16.50 35.0 23 2009
## 538 1ER17298 203 M 6.1 11.20 11.8 18.20 43.0 23 2009
## 539 1ER17299 203 M 5.6 10.40 11.7 17.00 41.0 23 2009
## 540 1ER17400 203 M 5.3 10.00 12.2 17.60 42.0 23 2009
## 541 1ER17401 203 M 6.7 11.20 13.2 18.00 44.0 23 2009
## 542 1ER17402 203 M 6.7 11.10 13.6 17.90 44.0 23 2009
## 543 1ER17403 203 M 6.3 11.50 12.7 18.10 43.0 23 2009
## 544 1ER17404 203 M 6.7 11.50 12.7 17.80 43.0 23 2009
## 545 1ER79506 203 M 2.3 NA 10.3 16.30 25.0 23 2009
## 546 1ER17417 97 M 6.2 11.20 12.5 18.40 42.0 24 2009
## 547 1ER17418 97 M 6.6 11.40 13.5 19.20 44.0 24 2009
## 548 1ER17419 97 M 6.5 11.50 12.7 18.50 43.0 24 2009
## 549 1ER17420 97 M 4.8 9.10 12.0 18.30 39.5 24 2009
## 550 1ER17421 97 M 7.0 11.60 13.9 18.90 44.0 24 2009
## 551 1ER17422 97 M 5.3 10.00 13.1 18.80 40.5 24 2009
## 552 1ER17423 97 M 6.4 10.80 13.3 19.10 42.0 24 2009
## 553 1ER17424 97 M 4.0 8.30 12.6 17.70 36.5 24 2009
## 554 1ER79504 97 M 1.9 NA 11.2 16.30 27.5 24 2009
## 555 1ER17425 61 H 7.2 12.90 12.7 19.80 44.0 25 2009
## 556 1ER17426 61 H 5.6 11.70 12.7 20.10 43.5 25 2009
## 557 1ER17427 61 H 6.3 11.50 11.8 18.90 42.0 25 2009
## 558 1ER17428 61 H 7.1 12.30 12.1 19.50 44.5 25 2009
## 559 1ER17429 61 H 4.3 8.70 12.3 19.30 38.0 25 2009
## 560 1ER17430 61 H 6.9 12.00 13.7 20.00 44.0 25 2009
## 561 1ER17287 26 M 5.7 11.30 12.3 18.60 44.5 22 2009
## 562 1ER17288 26 M 5.2 10.30 12.0 18.50 39.5 22 2009
## 563 1ER17289 26 M 6.2 10.90 12.3 18.60 42.0 22 2009
## 564 1ER17290 26 M 6.3 11.30 13.3 19.00 44.0 22 2009
## 565 1ER17291 26 M 4.9 9.50 11.2 17.80 39.0 22 2009
## 566 1ER17292 26 M 5.3 10.50 12.0 18.30 42.0 22 2009
## 567 1ER17293 26 M 3.8 8.10 12.1 17.50 36.0 22 2009
## 568 1ER17294 26 M 5.2 10.30 12.2 18.60 39.0 22 2009
## 569 1ER17295 26 M 5.1 10.30 11.9 18.20 39.5 22 2009
## 570 1ER17462 729 H 6.2 12.40 10.8 19.10 43.0 24 2009
## 571 1ER17463 729 H 6.2 12.80 11.2 19.60 44.5 24 2009
## 572 1ER17464 729 H 5.0 10.50 11.1 19.00 40.0 24 2009
## 573 1ER17465 729 H 5.6 11.30 11.3 19.40 44.0 24 2009
## 574 1ER17466 729 H 6.2 12.30 11.5 19.30 45.0 24 2009
## 575 1ER17467 729 H 6.0 12.00 11.0 19.10 42.5 24 2009
## 576 1ER17468 729 H 6.5 13.10 10.3 19.40 45.0 24 2009
## 577 1ER17469 729 H 6.5 12.80 10.7 19.00 44.0 24 2009
## 578 1ER17452 629 H 5.8 10.60 12.0 18.50 40.5 23 2009
## 579 1ER17453 629 H 5.7 11.60 11.7 19.00 40.0 23 2009
## 580 1ER17454 629 H 5.2 10.30 11.9 18.70 39.0 23 2009
## 581 1ER17455 629 H 3.8 8.80 9.8 17.70 33.5 23 2009
## 582 1ER17456 629 H 5.1 10.00 11.2 18.40 37.0 23 2009
## 583 1ER17457 629 H 5.8 10.90 12.0 19.30 39.0 23 2009
## 584 1ER17458 629 H 4.8 9.90 11.1 18.30 39.0 23 2009
## 585 1ER17459 629 H 5.8 11.20 11.9 19.40 39.0 23 2009
## 586 1ER17460 629 H 5.1 10.50 11.7 18.80 38.0 23 2009
## 587 1ER17461 629 H 3.7 8.50 10.2 17.40 31.5 23 2009
## 588 <NA> 629 H 1.4 NA NA NA NA 23 2009
## 589 1ER17443 62 M 5.3 10.60 NA NA NA 24 2009
## 590 1ER17444 62 M 5.1 10.60 NA NA NA 24 2009
## 591 1ER17445 62 M 5.0 10.40 NA NA NA 24 2009
## 592 1ER17446 62 M 5.7 11.30 NA NA NA 24 2009
## 593 1ER17447 62 M 5.7 11.30 NA NA NA 24 2009
## 594 1ER17448 62 M 5.4 11.20 NA NA NA 24 2009
## 595 1ER17449 62 M 5.9 10.90 NA NA NA 24 2009
## 596 1ER17450 62 M 5.8 11.70 NA NA NA 24 2009
## 597 1ER17451 62 M 3.2 8.20 NA NA NA 24 2009
## 598 1ER17470 7013 M 5.2 10.10 11.2 17.70 39.0 24 2009
## 599 1ER17471 7013 M 6.8 11.50 12.1 18.60 44.5 24 2009
## 600 1ER17472 7013 M 6.2 10.80 11.7 18.10 44.0 24 2009
## 601 1ER17473 7013 M 5.6 10.40 11.8 18.40 43.0 24 2009
## 602 1ER17474 7013 M 6.1 11.10 12.7 18.20 44.0 24 2009
## 603 1ER17475 7013 M 6.3 11.50 12.5 18.60 45.0 24 2009
## 604 1ER17476 7013 M 5.8 11.20 11.3 18.00 43.0 24 2009
## 605 1ER17478 7013 M 4.7 9.60 12.2 18.30 44.0 24 2009
## 606 1ER17479 7013 M 6.3 11.00 11.7 18.00 41.5 24 2009
## 607 1ER79507 7013 M 3.3 8.00 10.8 17.40 36.0 24 2009
## 608 1ER17481 257 M 6.2 10.90 13.6 18.80 44.5 23 2009
## 609 1ER17482 257 M 6.6 11.80 12.3 18.90 45.0 23 2009
## 610 1ER17483 257 M 5.7 10.80 12.2 18.20 42.5 23 2009
## 611 1ER17484 257 M 4.6 9.60 12.2 18.20 39.0 23 2009
## 612 1ER17485 257 M 5.6 10.50 12.6 18.80 41.5 23 2009
## 613 1ER17486 257 M 5.8 11.20 12.0 18.20 43.0 23 2009
## 614 1ER17487 257 M 4.4 9.20 11.2 17.20 38.0 23 2009
## 615 1ER17488 257 M 6.0 10.80 12.7 18.90 42.5 23 2009
## 616 1ER17489 257 M 4.8 9.90 11.7 18.90 39.5 23 2009
## 617 1ER17490 257 M 4.0 8.50 10.6 17.70 37.5 23 2009
## 618 1ER17491 257 M 5.3 10.50 12.0 18.70 42.0 23 2009
## 619 1ER79528 257 M 2.8 NA 11.2 18.40 34.5 23 2009
## 620 1ER17492 508 L 5.9 10.80 10.9 17.50 43.0 21 2009
## 621 1ER17493 508 L 6.6 11.80 12.2 18.30 44.5 21 2009
## 622 1ER17494 508 L 5.0 10.30 11.3 17.70 40.0 21 2009
## 623 1ER17495 508 L 3.8 8.80 10.6 17.40 37.5 21 2009
## 624 1ER17496 508 L 7.0 12.00 12.3 18.30 44.0 21 2009
## 625 1ER17497 508 L 6.6 12.10 11.8 18.60 45.0 21 2009
## 626 1ER17498 508 L 6.7 12.50 11.7 18.90 45.0 21 2009
## 627 1ER17499 508 L 7.0 12.20 11.9 18.90 44.0 21 2009
## 628 1ER17900 508 L 6.6 12.60 12.0 18.70 45.0 21 2009
## 629 1ER17901 508 L 6.4 11.40 11.7 18.40 45.0 21 2009
## 630 1ER17902 508 L 5.5 10.60 10.7 17.10 41.0 21 2009
## 631 1ER17925 299 H 4.8 9.60 NA NA NA 25 2009
## 632 1ER17926 299 H 6.2 11.30 NA NA NA 25 2009
## 633 1ER17927 299 H 6.8 12.20 NA NA NA 25 2009
## 634 1ER17928 299 H 6.0 11.60 NA NA NA 25 2009
## 635 1ER17929 299 H 6.6 11.10 NA NA NA 25 2009
## 636 1ER17930 299 H 5.4 10.40 NA NA NA 25 2009
## 637 1ER17931 299 H 7.1 12.20 NA NA NA 25 2009
## 638 1ER17932 299 H 6.5 11.90 NA NA NA 25 2009
## 639 1ER17933 299 H 6.6 10.90 NA NA NA 25 2009
## 640 1ER17934 299 H 6.3 11.90 NA NA NA 25 2009
## 641 1ER17905 756 L 4.6 9.60 11.7 18.30 38.0 21 2009
## 642 1ER17906 756 L 7.1 11.80 12.3 19.10 43.5 21 2009
## 643 1ER17907 756 L 5.1 10.60 12.0 18.00 41.0 21 2009
## 644 1ER17908 756 L 5.2 10.50 10.6 18.30 41.0 21 2009
## 645 1ER17909 756 L 6.5 11.60 12.2 18.20 44.0 21 2009
## 646 1ER17910 756 L 6.5 11.90 11.4 18.60 42.0 21 2009
## 647 1ER17911 756 L 4.8 10.00 11.8 18.20 40.5 21 2009
## 648 1ER17912 756 L 5.4 10.60 10.7 17.90 43.5 21 2009
## 649 1ER79539 756 L 2.6 NA 11.5 18.00 34.5 21 2009
## 650 1ER17913 569 H 6.6 12.10 NA NA NA 24 2009
## 651 1ER17914 569 H 5.8 11.20 NA NA NA 24 2009
## 652 1ER17915 569 H 6.0 12.00 NA NA NA 24 2009
## 653 1ER17916 569 H 4.6 9.60 NA NA NA 24 2009
## 654 1ER17917 569 H 5.6 10.90 NA NA NA 24 2009
## 655 1ER17918 569 H 6.6 12.40 NA NA NA 24 2009
## 656 1ER17920 569 H 7.1 12.50 NA NA NA 24 2009
## 657 1ER17921 569 H 6.3 11.50 NA NA NA 24 2009
## 658 1ER17922 569 H 6.3 12.10 NA NA NA 24 2009
## 659 1ER17923 569 H 6.4 12.40 NA NA NA 24 2009
## 660 <NA> 569 H 2.9 NA NA NA NA 24 2009
## 661 <NA> 569 H 3.1 NA NA NA NA 24 2009
## 662 1ER17958 58 L 5.8 11.50 NA NA NA 26 2009
## 663 1ER17959 58 L 5.3 10.80 NA NA NA 26 2009
## 664 1ER17961 58 L 5.6 11.20 NA NA NA 26 2009
## 665 1ER17962 58 L 6.4 11.40 NA NA NA 26 2009
## 666 1ER17963 58 L 5.6 10.50 NA NA NA 26 2009
## 667 1ER17964 58 L 5.1 9.40 NA NA NA 26 2009
## 668 1ER17965 58 L 6.8 11.80 NA NA NA 26 2009
## 669 1ER17966 58 L 5.6 10.90 NA NA NA 26 2009
## 670 1ER17967 58 L 4.1 8.80 NA NA NA 26 2009
## 671 1ER79540 58 L 2.9 NA NA NA NA 26 2009
## 672 1ER17945 811 M 6.6 12.40 11.5 18.80 45.0 26 2009
## 673 1ER17946 811 M 4.6 9.90 11.3 18.50 40.0 26 2009
## 674 1ER17947 811 M 5.5 11.20 11.9 18.90 46.0 26 2009
## 675 1ER17948 811 M 7.0 13.00 11.8 18.40 45.0 26 2009
## 676 1ER17949 811 M 7.0 12.70 12.2 18.50 44.5 26 2009
## 677 1ER17950 811 M 6.3 11.60 13.4 18.90 45.0 26 2009
## 678 1ER17951 811 M 6.4 11.40 12.5 19.00 44.5 26 2009
## 679 1ER17952 811 M 5.3 10.80 11.1 18.50 42.5 26 2009
## 680 1ER17953 811 M 7.1 12.90 12.6 19.30 46.0 26 2009
## 681 1ER17954 811 M 7.1 12.60 11.8 19.10 44.0 26 2009
## 682 1ER17955 811 M 6.3 11.80 11.9 18.20 44.0 26 2009
## 683 1ER17938 860 L 5.4 9.90 12.3 16.80 43.0 26 2009
## 684 1ER17939 860 L 6.3 11.30 11.5 17.50 44.0 26 2009
## 685 1ER17940 860 L 5.5 10.20 11.9 17.90 43.0 26 2009
## 686 1ER17941 860 L 6.4 11.60 12.1 18.10 45.0 26 2009
## 687 1ER17942 860 L 6.8 10.70 12.8 18.30 45.0 26 2009
## 688 1ER17971 367 L 6.1 11.40 11.4 18.20 44.0 23 2009
## 689 1ER17972 367 L 6.1 11.00 12.1 18.80 44.0 23 2009
## 690 1ER17973 367 L 6.1 11.80 12.0 18.30 44.5 23 2009
## 691 1ER17974 367 L 5.1 9.90 10.8 18.20 41.0 23 2009
## 692 1ER17975 367 L 6.2 11.10 12.5 18.70 45.0 23 2009
## 693 1ER17976 367 L 6.5 12.00 12.2 18.70 45.0 23 2009
## 694 1ER17977 367 L 6.7 12.10 11.6 18.40 44.0 23 2009
## 695 1ER17978 367 L 6.4 12.00 12.6 19.10 45.5 23 2009
## 696 1ER17979 367 L 6.8 12.00 11.2 18.10 45.0 23 2009
## 697 1ER17980 367 L 5.6 11.00 10.9 17.80 38.5 23 2009
## 698 1ER17981 367 L 3.9 9.10 10.9 17.80 38.5 23 2009
## 699 CJ32961 298 L 5.7 11.40 11.3 18.20 43.0 26 2009
## 700 CJ32962 298 L 4.8 9.80 12.2 18.30 42.0 26 2009
## 701 CJ32963 298 L 6.0 11.50 11.6 18.80 42.5 26 2009
## 702 CJ32964 298 L 6.6 11.70 10.8 17.90 41.0 26 2009
## 703 CJ32966 298 L 6.0 11.50 10.4 17.60 44.5 26 2009
## 704 CJ32967 298 L 6.1 12.50 11.3 18.90 42.5 26 2009
## 705 CJ32968 298 L 6.2 11.80 10.8 17.70 43.5 26 2009
## 706 CJ32969 298 L 6.6 12.00 12.0 18.20 45.0 26 2009
## 707 CJ32954 269 M 6.9 11.30 NA NA NA 27 2009
## 708 CJ32955 269 M 6.3 11.30 NA NA NA 27 2009
## 709 CJ32956 269 M 6.4 11.60 NA NA NA 27 2009
## 710 CJ32957 269 M 6.5 11.90 NA NA NA 27 2009
## 711 CJ32958 269 M 7.1 11.70 NA NA NA 27 2009
## 712 CJ32959 269 M 6.5 11.20 NA NA NA 27 2009
## 713 CJ32960 269 M 6.5 11.40 NA NA NA 27 2009
## 714 1ER17984 31 M 6.9 12.00 11.1 17.60 44.5 28 2009
## 715 1ER17985 31 M 6.8 12.20 11.3 18.20 42.0 28 2009
## 716 1ER17986 31 M 7.9 13.20 10.9 18.30 44.5 28 2009
## 717 1ER17987 31 M 7.2 13.20 11.2 18.30 45.0 28 2009
## 718 1ER17988 31 M 6.8 12.60 10.1 18.30 42.5 28 2009
## 719 1ER17989 31 M 6.5 11.90 11.0 17.50 42.0 28 2009
## 720 1ER17990 31 M 5.0 10.10 8.3 17.00 35.0 28 2009
## 721 1ER17991 31 M 7.7 13.30 10.6 18.50 44.0 28 2009
## 722 1ER17992 31 M 6.1 12.00 9.9 17.80 42.0 28 2009
## 723 1ER17993 31 M 6.4 12.40 10.1 17.80 43.0 28 2009
## 724 1ER79525 375 L 5.8 10.70 NA NA NA 29 2009
## 725 1ER17526 375 L 5.8 10.50 NA NA NA 29 2009
## 726 CJ32970 375 L 4.0 9.10 NA NA NA 29 2009
## 727 CJ32971 375 L 4.8 9.50 NA NA NA 29 2009
## 728 1EP51709 17 H 5.8 11.70 11.1 18.30 41.5 20 2008
## 729 1EP51710 17 H 6.4 12.10 11.3 18.70 42.0 20 2008
## 730 1EP51711 17 H 5.6 10.60 11.4 17.70 38.0 20 2008
## 731 1EP51712 17 H 5.4 9.90 11.7 18.30 40.0 20 2008
## 732 1EP51714 17 H 4.9 10.40 10.3 17.90 37.5 20 2008
## 733 1EP51715 17 H 6.2 11.70 11.2 18.20 41.5 20 2008
## 734 1EP51716 17 H 6.2 11.60 11.4 18.20 41.0 20 2008
## 735 1EP52183 17 H 4.1 9.80 9.8 17.60 35.0 20 2008
## 736 1EP51717 17 H 6.5 11.80 11.6 18.00 40.0 20 2008
## 737 1EP51751 67 H 6.4 11.60 11.8 18.60 43.0 19 2008
## 738 1EP51752 67 H 5.9 11.00 11.4 18.70 43.5 19 2008
## 739 1EP51753 67 H 5.8 10.80 10.9 18.60 41.5 19 2008
## 740 1EP51754 67 H 5.7 11.00 11.2 18.80 42.0 19 2008
## 741 1EP51755 67 H 6.0 11.70 10.4 18.10 43.5 19 2008
## 742 1EP51756 67 H 5.8 11.70 10.6 18.10 41.0 19 2008
## 743 1EP51757 67 H 6.6 12.30 11.3 18.30 44.5 19 2008
## 744 1EP51758 67 H 6.2 12.10 11.7 19.40 45.0 19 2008
## 745 1EP51759 67 H 5.4 11.00 10.5 19.00 41.0 19 2008
## 746 1EP51760 67 H 6.1 11.60 11.2 18.70 42.5 19 2008
## 747 1EP51761 189 H 6.8 12.30 12.1 18.70 44.5 22 2008
## 748 1EP51762 189 H 4.1 8.60 10.6 18.00 36.0 22 2008
## 749 1EP51763 189 H 6.3 11.40 12.2 18.80 41.0 22 2008
## 750 1EP51764 189 H 6.8 12.10 11.9 19.20 45.0 22 2008
## 751 1EP51765 189 H 6.1 12.20 11.4 18.80 44.0 22 2008
## 752 1EP51766 189 H 6.6 12.10 11.8 18.60 43.0 22 2008
## 753 1EP51767 189 H 4.8 9.40 12.2 18.70 39.0 22 2008
## 754 1EP51768 189 H 5.8 10.60 11.6 18.70 42.5 22 2008
## 755 1EP51769 823 H 5.9 11.40 11.9 18.90 42.0 23 2008
## 756 1EP51770 823 H 6.5 11.80 11.1 18.20 44.0 23 2008
## 757 1EP51771 823 H 4.7 9.60 11.6 18.10 40.0 23 2008
## 758 1EP51772 823 H 6.3 12.20 11.7 18.50 44.0 23 2008
## 759 1EP51773 823 H 6.3 12.30 11.3 18.40 43.0 23 2008
## 760 1EP51774 823 H 5.8 11.80 12.1 19.40 43.0 23 2008
## 761 1EP51775 823 H 6.8 12.00 11.7 18.40 45.0 23 2008
## 762 1EP51776 823 H 6.9 12.10 12.3 18.80 46.0 23 2008
## 763 1EP51777 823 H 6.8 11.30 11.9 18.80 43.5 23 2008
## 764 1EP51778 613 H 6.3 11.20 12.2 18.80 43.0 23 2008
## 765 1EP51779 613 H 6.8 11.80 11.5 17.80 42.5 23 2008
## 766 1EP51780 613 H 7.7 13.30 12.1 19.00 46.0 23 2008
## 767 1EP51781 613 H 6.6 12.10 11.3 18.50 44.5 23 2008
## 768 1EP51782 613 H 6.7 11.70 12.0 18.10 44.0 23 2008
## 769 1EP51783 613 H 6.7 12.10 11.3 18.30 45.0 23 2008
## 770 1EP51784 613 H 7.7 13.30 11.6 19.10 47.0 23 2008
## 771 1EP51785 613 H 4.8 9.50 11.3 18.20 40.5 23 2008
## 772 1EP51786 613 H 7.6 12.60 11.8 18.40 45.5 23 2008
## 773 1EP51787 613 H 5.9 10.60 12.8 18.90 43.0 23 2008
## 774 1EP51788 687 H 6.9 12.00 11.2 18.50 44.0 23 2008
## 775 1EP51789 687 H 7.2 12.40 12.1 18.60 45.5 23 2008
## 776 1EP51790 687 H 6.7 12.70 11.2 18.30 44.0 23 2008
## 777 1EP51791 687 H 6.7 12.40 11.2 18.10 45.0 23 2008
## 778 1EP51792 687 H 5.6 11.70 12.1 18.90 42.5 23 2008
## 779 1EP51793 687 H 6.1 11.60 12.2 18.30 43.0 23 2008
## 780 1EP51794 687 H 6.6 12.30 11.8 17.90 44.0 23 2008
## 781 1EP51795 687 H 5.6 10.20 11.3 18.40 41.0 23 2008
## 782 1EP51798 204 H 9.1 13.70 11.7 19.10 46.0 22 2008
## 783 1EP51799 204 H 9.6 14.40 13.1 19.40 47.0 22 2008
## 784 1EP52300 204 H 9.6 10.20 12.6 19.30 40.5 22 2008
## 785 1EP52301 204 H 9.6 14.50 11.6 19.20 47.5 22 2008
## 786 1EP52302 204 H 8.9 13.50 12.1 18.90 48.0 22 2008
## 787 1EP52303 204 H 6.6 10.50 11.3 18.00 39.0 22 2008
## 788 1EP52304 204 H 8.4 12.80 11.5 18.60 46.0 22 2008
## 789 1EP52336 207 H 7.0 11.20 12.2 18.40 44.0 23 2008
## 790 1EP52337 207 H 5.5 11.80 11.2 18.90 44.5 23 2008
## 791 1EP52338 207 H 6.1 11.40 11.6 18.30 44.0 23 2008
## 792 1EP52339 207 H 6.7 11.40 12.0 18.70 44.5 23 2008
## 793 1EP52340 207 H 4.2 8.50 11.6 18.00 39.5 23 2008
## 794 1EP52341 207 H 5.0 10.00 12.8 19.40 41.5 23 2008
## 795 1EP52342 207 H 5.8 10.40 10.4 17.70 42.5 23 2008
## 796 1EP52343 207 H 6.0 10.60 11.1 17.50 42.0 23 2008
## 797 1EP52344 207 H 5.4 9.70 11.5 17.90 42.5 23 2008
## 798 1EP52373 566 H 6.2 11.50 NA NA NA 25 2008
## 799 1EP52374 566 H 6.6 11.60 NA NA NA 25 2008
## 800 1EP52375 566 H 5.8 10.60 NA NA NA 25 2008
## 801 1EP52376 566 H 6.2 10.40 NA NA NA 25 2008
## 802 1EP52378 566 H 6.1 11.10 NA NA NA 25 2008
## 803 1EP52379 566 H 6.3 10.80 NA NA NA 25 2008
## 804 1EP52380 566 H 7.1 11.80 NA NA NA 25 2008
## 805 1EP52385 632 H 5.1 9.00 NA NA NA 26 2008
## 806 1EP52386 632 H 4.9 9.80 NA NA NA 26 2008
## 807 1EP52387 632 H 6.1 10.90 NA NA NA 26 2008
## 808 1EP52388 632 H 4.7 9.60 NA NA NA 26 2008
## 809 1EP52389 632 H 6.0 11.00 NA NA NA 26 2008
## 810 1EP52391 632 H 5.4 9.80 NA NA NA 26 2008
## 811 1EP52392 632 H 6.0 10.50 NA NA NA 26 2008
## 812 1EP52403 808 H 6.3 11.30 11.7 18.30 43.5 24 2008
## 813 1EP52404 808 H 7.1 12.20 11.6 18.80 44.5 24 2008
## 814 1EP52405 808 H 6.7 11.50 11.8 17.90 45.0 24 2008
## 815 1EP52406 808 H 5.4 10.20 11.3 18.00 43.0 24 2008
## 816 1EP52407 808 H 6.9 11.20 12.5 18.70 45.0 24 2008
## 817 1EP52408 808 H 4.5 8.60 11.7 17.40 39.5 24 2008
## 818 1EP52409 699 H 6.2 10.80 12.1 18.30 44.0 26 2008
## 819 1EP52410 699 H 6.3 11.30 12.2 18.60 43.5 26 2008
## 820 1EP52411 699 H 4.6 8.20 12.1 17.30 39.0 26 2008
## 821 1EP52412 699 H 7.1 11.10 12.4 18.30 45.0 26 2008
## 822 1EP52413 699 H 5.3 9.80 12.2 18.40 42.5 26 2008
## 823 1EP52414 699 H 4.6 8.30 11.8 18.00 39.0 26 2008
## 824 1EP52415 699 H 6.4 11.40 11.6 18.10 45.0 26 2008
## 825 1EP52416 699 H 6.6 11.20 11.4 18.10 45.0 26 2008
## 826 1EP52417 699 H 6.1 10.10 11.1 17.90 43.0 26 2008
## 827 1EP52418 869 H 7.1 11.50 11.6 19.20 43.5 25 2008
## 828 1EP52419 869 H 5.8 9.00 11.5 18.40 40.0 25 2008
## 829 1EP52420 869 H 7.5 11.10 11.9 18.50 44.0 25 2008
## 830 1EP52421 869 H 7.1 11.40 10.4 18.60 42.0 25 2008
## 831 1EP52437 185 H 6.0 9.90 12.1 17.80 44.0 25 2008
## 832 1EP52438 185 H 7.3 12.50 11.8 19.00 46.0 25 2008
## 833 1EP52439 185 H 7.5 12.40 12.1 18.60 44.5 25 2008
## 834 1EP52440 185 H 7.5 11.90 11.8 18.70 46.0 25 2008
## 835 1EP52441 185 H 5.4 9.90 11.7 18.60 45.0 25 2008
## 836 1EP52442 185 H 5.7 10.80 10.6 18.30 42.5 25 2008
## 837 1EP52443 185 H 6.6 12.40 12.2 18.70 44.5 25 2008
## 838 1EP52444 185 H 6.0 10.70 11.6 19.40 43.0 25 2008
## 839 1EP52445 185 H 6.8 11.40 11.7 19.00 46.0 25 2008
## 840 1EP52446 185 H 7.0 12.00 11.9 18.50 44.0 25 2008
## 841 1EP52460 V53 H 6.2 10.70 13.2 19.00 44.0 27 2008
## 842 1EP52461 V53 H 5.7 10.40 13.2 19.50 44.0 27 2008
## 843 1EP52462 V53 H 5.8 10.40 13.7 19.30 43.0 27 2008
## 844 1EP52463 V53 H 5.3 9.80 12.4 17.90 44.5 27 2008
## 845 1EP52464 V53 H 6.0 10.70 11.6 18.30 44.0 27 2008
## 846 1EP52465 V53 H 6.1 10.40 13.1 19.50 43.0 27 2008
## 847 1EP52466 V53 H 5.7 10.50 12.7 18.70 43.5 27 2008
## 848 1EP52467 V53 H 5.5 10.00 12.8 18.80 42.5 27 2008
## 849 1EP51827 V53 H 3.1 NA 11.5 18.10 36.0 27 2008
## 850 1EP52119 279 H 5.6 10.90 11.2 18.40 41.0 26 2008
## 851 1EP52120 279 H 5.8 10.40 10.8 17.90 41.0 26 2008
## 852 1EP52121 279 H 5.2 9.50 10.4 17.70 38.5 26 2008
## 853 1EP52122 279 H 6.2 10.80 11.8 19.10 43.0 26 2008
## 854 1EP52123 279 H 6.3 10.70 11.7 18.60 43.5 26 2008
## 855 1EP52124 279 H 5.9 10.40 10.8 17.80 42.5 26 2008
## 856 1EP52125 279 H 5.9 8.90 10.9 17.50 41.0 26 2008
## 857 1EP52126 279 H 4.9 9.40 10.0 17.80 39.0 26 2008
## 858 1EP51828 279 H 4.6 8.40 11.5 18.00 39.0 26 2008
## 859 1EP52127 46 H 8.2 12.90 13.2 19.50 48.0 29 2008
## 860 1EP52128 46 H 7.6 12.20 12.3 18.40 47.0 29 2008
## 861 1EP52129 46 H 5.2 10.10 11.6 18.60 43.5 29 2008
## 862 1EP52130 46 H 6.3 10.70 12.3 18.30 44.5 29 2008
## 863 1EP52131 46 H 6.8 11.90 11.8 19.00 47.5 29 2008
## 864 1EP52133 46 H 4.3 9.00 11.1 18.00 39.5 29 2008
## 865 1EP52134 46 H 7.3 12.70 11.8 19.40 46.0 29 2008
## 866 1EP52135 46 H 7.8 12.80 12.7 18.90 48.0 29 2008
## 867 1EP52136 46 H 7.6 13.30 11.9 19.70 48.0 29 2008
## 868 1EP52137 46 H 7.6 13.30 12.3 19.60 47.0 29 2008
## 869 1EP52145 826 H 8.0 13.60 12.2 19.80 48.5 27 2008
## 870 1EP52146 826 H 7.5 13.20 13.3 19.20 49.0 27 2008
## 871 1EP52147 826 H 5.8 11.10 12.1 18.60 43.5 27 2008
## 872 1EP52148 826 H 7.2 13.00 12.8 18.60 48.0 27 2008
## 873 1EP52149 826 H 6.8 13.20 11.3 19.20 48.0 27 2008
## 874 1EP52150 826 H 6.7 12.10 12.6 18.90 46.0 27 2008
## 875 1EP52151 826 H 7.5 13.30 12.3 19.00 48.0 27 2008
## 876 1EP52152 826 H 7.7 13.70 13.2 19.70 49.5 27 2008
## 877 <NA> 826 H 1.6 NA NA NA NA 27 2008
## 878 <NA> 826 H 2.9 NA NA NA NA 27 2008
## 879 1EP52163 574 H 6.1 10.20 12.7 19.20 43.0 29 2008
## 880 1EP52164 574 H 6.2 10.00 12.2 18.10 41.5 29 2008
## 881 1EP52165 574 H 6.4 10.50 11.8 18.70 43.5 29 2008
## 882 1EP52166 574 H 6.6 10.90 11.1 18.60 44.0 29 2008
## 883 1EP52167 574 H 6.2 10.30 11.6 18.00 42.5 29 2008
## 884 1EP52168 574 H 5.8 10.40 12.0 18.50 42.5 29 2008
## 885 1EP52169 574 H 5.7 9.90 11.3 17.50 43.0 29 2008
## 886 1EP52170 574 H 7.1 10.50 13.0 18.70 44.5 29 2008
## 887 1EP52171 574 H 4.3 7.10 12.1 18.00 38.0 29 2008
## 888 1EP51726 28 L 5.6 10.30 12.7 18.20 41.0 19 2008
## 889 1EP51727 28 L 5.3 10.40 11.8 18.10 40.0 19 2008
## 890 1EP51728 28 L 5.6 10.20 13.2 18.50 43.5 19 2008
## 891 1EP52196 28 L 3.6 8.20 12.4 17.60 34.0 19 2008
## 892 1EP51742 372 L 5.8 11.00 NA NA NA 20 2008
## 893 1EP51743 372 L 6.1 11.70 NA NA NA 20 2008
## 894 1EP51744 372 L 5.1 10.40 NA NA NA 20 2008
## 895 1EP51745 372 L 5.3 10.00 NA NA NA 20 2008
## 896 1EP51746 372 L 6.0 10.40 NA NA NA 20 2008
## 897 1EP51747 372 L 5.9 10.70 NA NA NA 20 2008
## 898 1EP51748 372 L 4.4 8.80 NA NA NA 20 2008
## 899 1EP51749 372 L 5.1 9.50 NA NA NA 20 2008
## 900 1EP51750 372 L 5.1 10.00 NA NA NA 20 2008
## 901 1EP51796 693 L 5.7 10.50 10.2 16.60 39.5 20 2008
## 902 1EP51797 693 L 5.6 10.20 10.3 17.30 40.0 20 2008
## 903 1EP52331 211 L 5.3 9.60 11.5 18.00 43.5 20 2008
## 904 1EP52332 211 L 5.4 NA 12.2 18.00 42.5 20 2008
## 905 1EP52333 211 L 5.3 10.20 11.9 18.00 43.5 20 2008
## 906 1EP52334 211 L 4.7 9.40 10.8 17.40 41.5 20 2008
## 907 1EP52335 211 L 5.6 10.00 11.6 17.60 42.0 20 2008
## 908 1EP52369 773 L 5.0 10.00 11.7 17.30 43.0 20 2008
## 909 1EP52370 773 L 4.6 8.60 10.9 16.50 38.0 20 2008
## 910 1EP52371 773 L 5.3 9.20 12.0 17.20 42.0 20 2008
## 911 1EP52372 773 L 4.7 8.70 11.1 17.30 40.5 20 2008
## 912 1EP51818 773 L 4.2 7.30 11.4 15.70 38.0 20 2008
## 913 1EP52393 608 L 7.3 12.30 12.2 18.40 47.0 22 2008
## 914 1EP52394 608 L 7.2 11.80 12.3 18.00 47.5 22 2008
## 915 1EP52395 608 L 7.1 12.30 12.5 18.30 46.0 22 2008
## 916 1EP52396 608 L 5.6 11.30 11.1 18.40 44.0 22 2008
## 917 1EP52397 608 L 6.3 11.80 11.7 18.40 45.5 22 2008
## 918 1EP52398 608 L 7.0 11.90 11.8 18.00 46.5 22 2008
## 919 1EP52399 608 L 6.5 10.80 11.7 17.70 44.0 22 2008
## 920 1EP52400 608 L 7.0 11.90 12.2 18.80 47.5 22 2008
## 921 1EP52401 608 L 6.9 11.70 11.7 18.10 46.5 22 2008
## 922 1EP52402 608 L 6.6 12.20 11.3 17.70 45.5 22 2008
## 923 1EP51820 608 L 3.3 NA 12.3 17.60 36.5 22 2008
## 924 1EP52447 736 L 6.9 12.20 11.9 18.50 45.0 24 2008
## 925 1EP52448 736 L 6.6 10.80 12.4 18.30 45.5 24 2008
## 926 1EP52449 736 L 7.2 12.60 11.8 18.90 47.5 24 2008
## 927 1EP52450 736 L 6.3 11.20 11.8 18.80 42.0 24 2008
## 928 1EP52451 736 L 6.9 11.80 11.8 18.30 44.0 24 2008
## 929 1EP52452 736 L 7.3 12.10 12.1 18.70 47.0 24 2008
## 930 1EP52453 736 L 7.3 11.30 11.2 17.40 44.0 24 2008
## 931 1EP52454 736 L 7.6 11.40 12.5 18.40 46.0 24 2008
## 932 1EP52455 845 L 4.5 9.00 9.7 16.90 39.0 25 2008
## 933 1EP52456 845 L 6.2 10.70 10.2 17.50 43.5 25 2008
## 934 1EP52457 845 L 6.5 NA 9.3 17.10 44.0 25 2008
## 935 1EP52458 845 L NA NA 11.3 18.10 45.0 25 2008
## 936 1EP52476 727 L 7.1 11.20 12.8 19.10 44.5 25 2008
## 937 1EP52477 727 L 6.1 10.90 12.1 18.60 43.5 25 2008
## 938 1EP52478 727 L 6.7 10.80 12.6 18.80 44.0 25 2008
## 939 1EP52479 727 L 5.8 9.50 12.6 18.80 41.5 25 2008
## 940 1EP52480 727 L 6.2 10.70 12.2 17.80 43.0 25 2008
## 941 1EP52486 835 L 7.2 11.50 12.3 18.00 45.0 26 2008
## 942 1EP52487 835 L 7.6 12.10 12.1 17.50 46.5 26 2008
## 943 1EP52488 835 L 7.1 11.50 11.4 17.80 43.5 26 2008
## 944 1EP52489 835 L 7.9 12.70 13.3 18.70 47.0 26 2008
## 945 1EP52490 835 L 7.9 12.60 11.2 17.90 45.5 26 2008
## 946 1EP52491 835 L 7.2 12.50 11.6 17.30 46.0 26 2008
## 947 1EP52492 835 L 5.6 10.40 10.8 17.90 42.0 26 2008
## 948 1EP52493 835 L 7.2 12.30 11.4 17.60 46.0 26 2008
## 949 1EP52115 603 L 6.1 9.90 11.3 17.40 43.5 26 2008
## 950 1EP52116 603 L 7.1 10.80 11.8 17.80 45.0 26 2008
## 951 1EP52117 603 L 7.1 11.30 11.9 18.30 45.5 26 2008
## 952 1EP52118 603 L 5.2 NA 12.7 17.50 41.0 26 2008
## 953 CG53578 678 L 4.4 8.70 11.1 17.50 40.5 28 2008
## 954 CG53579 678 L 4.2 8.10 10.4 16.80 37.0 28 2008
## 955 CG53580 678 L 4.7 8.80 10.9 17.70 42.5 28 2008
## 956 1EP51832 678 L 2.7 NA 9.5 17.00 33.5 28 2008
## 957 1EP52153 158 L 6.7 11.00 12.3 18.40 45.0 23 2008
## 958 1EP52154 158 L 5.5 8.70 12.2 18.00 42.5 23 2008
## 959 1EP52155 158 L 4.6 8.80 11.1 17.00 38.0 23 2008
## 960 1EP52156 158 L 5.7 10.80 11.6 18.30 43.0 23 2008
## 961 1EP52157 158 L 6.2 11.00 11.9 17.70 43.5 23 2008
## 962 1EP52158 158 L 5.0 9.70 11.6 18.70 39.5 23 2008
## 963 1EP52159 158 L 6.0 9.40 11.7 17.50 43.0 23 2008
## 964 1EP52160 158 L 6.1 10.00 11.8 17.40 44.0 23 2008
## 965 1EP52161 158 L 6.6 11.10 12.6 17.80 43.0 23 2008
## 966 1EP52172 606 L 6.1 10.70 11.2 17.80 45.0 28 2008
## 967 1EP52173 606 L 6.2 11.00 11.6 18.40 45.5 28 2008
## 968 1EP52174 606 L 4.3 8.10 11.2 17.40 40.0 28 2008
## 969 1EP51834 606 L 3.8 8.10 11.6 18.20 38.0 28 2008
## 970 1EP52177 606 L 7.1 11.60 12.1 18.70 48.0 28 2008
## 971 1EP52178 606 L 6.8 11.70 11.4 18.30 47.0 28 2008
## 972 1EP52179 606 L 6.7 11.20 11.6 18.20 46.5 28 2008
## 973 1EP52180 606 L 7.2 11.60 11.6 18.70 47.0 28 2008
## 974 1EP52198 159 L 5.7 10.00 11.9 17.50 44.0 28 2008
## 975 1EP52199 159 L 4.1 8.80 12.1 18.20 41.0 28 2008
## 976 1EP51800 159 L 6.0 11.10 12.6 18.60 45.0 28 2008
## 977 1EP51801 159 L 6.7 12.10 13.2 18.90 46.0 28 2008
## 978 1EP51845 159 L 3.8 8.20 10.2 17.00 38.5 28 2008
## 979 1EP51718 839 M 5.7 10.60 9.1 17.50 38.0 19 2008
## 980 1EP51719 839 M 5.9 11.10 9.8 17.80 38.5 19 2008
## 981 1EP51720 839 M 5.5 10.80 10.1 18.30 37.0 19 2008
## 982 1EP51721 839 M 5.1 10.10 10.3 18.00 38.0 19 2008
## 983 1EP51722 839 M 6.4 11.50 10.2 18.60 39.0 19 2008
## 984 1EP51723 839 M 5.3 10.50 9.8 17.60 38.5 19 2008
## 985 1EP51724 839 M 5.7 11.10 10.7 18.20 37.0 19 2008
## 986 1EP51725 839 M 4.8 9.90 8.6 16.80 34.5 19 2008
## 987 1EP52182 839 M 2.8 NA 6.3 15.70 27.5 19 2008
## 988 1EP52181 839 M 3.2 NA 7.4 16.40 32.0 19 2008
## 989 <NA> 839 M 2.2 NA NA NA NA 19 2008
## 990 1EP51729 723 M 6.7 13.00 11.3 19.30 46.0 22 2008
## 991 1EP51730 723 M 6.7 12.60 11.4 19.90 44.5 22 2008
## 992 1EP51731 723 M 6.3 12.40 12.7 19.70 44.0 22 2008
## 993 1EP51732 723 M 5.1 10.10 12.6 19.60 42.0 22 2008
## 994 1EP51733 723 M 7.2 13.20 12.0 20.00 45.5 22 2008
## 995 1EP51734 723 M 7.2 13.00 12.4 19.90 45.0 22 2008
## 996 1EP51735 817 M 5.1 10.90 11.8 18.80 40.5 23 2008
## 997 1EP51736 817 M 5.2 10.90 12.4 18.60 42.0 23 2008
## 998 1EP51737 817 M 6.2 12.60 12.0 18.70 45.5 23 2008
## 999 1EP51738 817 M 6.1 12.30 11.6 18.30 43.0 23 2008
## 1000 1EP51739 817 M 6.7 13.00 12.5 19.40 44.0 23 2008
## 1001 1EP51740 817 M 5.8 11.60 12.3 18.80 44.0 23 2008
## 1002 1EP51741 817 M 6.5 12.30 12.9 19.10 44.0 23 2008
## 1003 1EP52305 642 M 7.4 12.30 11.6 19.20 47.5 21 2008
## 1004 1EP52306 642 M 5.9 11.00 10.7 17.60 43.5 21 2008
## 1005 1EP52307 642 M 6.6 11.80 10.7 17.80 46.0 21 2008
## 1006 1EP52308 642 M 6.6 11.50 11.2 18.40 46.0 21 2008
## 1007 1EP52309 642 M 7.6 12.10 12.2 19.00 48.5 21 2008
## 1008 1EP52310 642 M 7.1 11.60 11.9 18.60 46.5 21 2008
## 1009 1EP52311 642 M 4.8 8.80 10.9 17.70 40.5 21 2008
## 1010 1EP52312 642 M 5.5 9.30 12.0 18.20 42.0 21 2008
## 1011 1EP51802 642 M 3.6 8.10 11.2 18.10 38.0 21 2008
## 1012 1EP52313 637 M 6.3 11.40 12.3 18.80 46.0 23 2008
## 1013 1EP52314 637 M 5.7 10.40 11.1 17.60 39.5 23 2008
## 1014 1EP52315 637 M 5.8 11.00 12.3 18.90 43.0 23 2008
## 1015 1EP52316 637 M 4.4 8.80 12.3 18.70 40.0 23 2008
## 1016 1EP52317 637 M 5.7 11.10 11.8 18.60 44.5 23 2008
## 1017 1EP52318 637 M 6.0 10.40 12.4 18.10 43.5 23 2008
## 1018 1EP52319 637 M 5.5 9.50 10.6 17.60 42.5 23 2008
## 1019 1EP52320 637 M 5.3 9.70 11.3 18.00 41.5 23 2008
## 1020 1EP52321 637 M 5.3 9.30 11.2 17.10 43.0 23 2008
## 1021 1EP51817 637 M 4.2 7.70 11.8 17.00 38.5 23 2008
## 1022 1EP52322 689 M 5.8 10.70 10.0 18.00 42.5 25 2008
## 1023 1EP52323 689 M 6.2 11.10 9.7 18.30 43.0 25 2008
## 1024 1EP52324 689 M 4.3 8.10 9.3 17.50 38.0 25 2008
## 1025 1EP52325 689 M 5.1 9.50 9.6 17.90 40.0 25 2008
## 1026 1EP52326 689 M 5.6 10.20 9.1 17.40 42.0 25 2008
## 1027 1EP52327 689 M 5.6 9.70 9.5 17.50 40.5 25 2008
## 1028 1EP52328 689 M 6.1 10.30 10.1 18.30 43.0 25 2008
## 1029 1EP52329 689 M 5.8 10.30 11.0 18.60 44.0 25 2008
## 1030 1EP52330 689 M 6.4 10.50 10.4 18.60 44.0 25 2008
## 1031 1EP52345 763 M 6.2 11.40 11.5 18.10 44.0 23 2008
## 1032 1EP52346 763 M 6.6 11.60 12.2 19.10 45.0 23 2008
## 1033 1EP52347 763 M 5.2 9.90 12.6 18.30 42.0 23 2008
## 1034 1EP52348 763 M 6.2 11.30 12.3 19.00 45.0 23 2008
## 1035 1EP52349 763 M 6.7 11.80 12.2 18.90 46.0 23 2008
## 1036 1EP52350 763 M 6.7 11.70 11.9 18.80 45.0 23 2008
## 1037 1EP52351 763 M 4.6 8.90 12.0 18.80 45.0 23 2008
## 1038 1EP52352 651 M 4.3 8.60 11.9 18.20 38.5 24 2008
## 1039 1EP52353 651 M 5.7 10.10 12.3 18.20 43.5 24 2008
## 1040 1EP52354 651 M 5.8 10.10 12.1 18.60 43.5 24 2008
## 1041 1EP52355 651 M 5.8 10.70 11.6 17.80 43.0 24 2008
## 1042 1EP52356 651 M 7.0 11.60 12.4 19.10 45.0 24 2008
## 1043 1EP52357 651 M 6.8 11.70 11.6 18.20 43.0 24 2008
## 1044 1EP52358 651 M 6.3 10.50 12.0 18.40 43.0 24 2008
## 1045 1EP52359 651 M 6.2 10.60 11.3 17.60 44.0 24 2008
## 1046 1EP52360 651 M 6.3 11.30 12.3 19.00 45.5 24 2008
## 1047 1EP52361 801 M 5.6 9.70 NA NA NA 25 2008
## 1048 1EP52362 801 M 5.8 10.20 NA NA NA 25 2008
## 1049 1EP52363 801 M 5.5 9.60 NA NA NA 25 2008
## 1050 1EP52364 801 M 5.1 9.00 NA NA NA 25 2008
## 1051 1EP52365 801 M 5.3 9.30 NA NA NA 25 2008
## 1052 1EP52366 6 M 5.9 10.40 NA NA NA 23 2008
## 1053 1EP52367 6 M 5.9 10.60 NA NA NA 23 2008
## 1054 1EP52368 6 M 4.5 8.90 NA NA NA 23 2008
## 1055 1EP52381 692 M 7.4 12.10 11.9 18.70 44.5 26 2008
## 1056 1EP52382 692 M 6.9 11.30 12.1 18.20 43.0 26 2008
## 1057 1EP52383 692 M 4.4 7.70 12.2 18.00 38.0 26 2008
## 1058 1EP52384 692 M 6.7 11.00 13.0 18.80 44.0 26 2008
## 1059 1EP52819 692 M 2.6 NA 11.7 17.40 36.0 26 2008
## 1060 1EP52468 V211 M 6.2 10.80 13.0 19.10 43.0 27 2008
## 1061 1EP52469 V211 M 6.6 11.10 12.2 18.30 43.0 27 2008
## 1062 1EP52470 V211 M 7.1 11.40 13.3 19.10 46.0 27 2008
## 1063 1EP52471 V211 M 6.1 10.70 12.6 18.30 45.0 27 2008
## 1064 1EP52472 V211 M 6.7 11.40 12.7 18.50 44.0 27 2008
## 1065 1EP52473 V211 M 5.6 9.70 13.4 19.10 42.0 27 2008
## 1066 1EP52474 V211 M 7.0 11.40 13.5 19.10 44.5 27 2008
## 1067 1EP52475 V211 M 4.7 8.70 12.6 18.20 39.5 27 2008
## 1068 1EP51826 V211 M 3.7 NA 12.8 18.40 44.0 27 2008
## 1069 1EP52481 824 M 7.7 12.70 13.5 19.30 47.0 24 2008
## 1070 1EP52482 824 M 7.7 12.70 12.5 19.40 46.0 24 2008
## 1071 1EP52483 824 M 8.4 12.40 12.6 18.50 44.0 24 2008
## 1072 1EP52484 824 M 7.3 12.30 12.9 19.30 45.5 24 2008
## 1073 1EP52485 824 M 7.4 12.00 12.7 19.20 45.0 24 2008
## 1074 1EP52494 627 M 6.0 10.50 11.2 18.60 44.0 24 2008
## 1075 1EP52495 627 M 4.6 8.90 11.1 19.10 44.0 24 2008
## 1076 1EP52496 627 M 6.2 11.70 11.0 19.60 44.0 24 2008
## 1077 1EP52497 627 M 6.9 11.20 11.2 18.98 45.0 24 2008
## 1078 1EP52498 627 M 7.7 12.50 11.8 19.70 47.0 24 2008
## 1079 1EP52499 627 M 6.3 11.30 11.9 19.60 45.5 24 2008
## 1080 1EP52100 627 M 6.3 10.60 11.8 18.30 44.0 24 2008
## 1081 1EP52101 627 M 6.3 10.60 NA NA NA 24 2008
## 1082 1EP52102 627 M 6.5 11.00 12.2 19.80 44.0 24 2008
## 1083 1EP52103 627 M 5.7 10.20 12.2 19.40 44.5 24 2008
## 1084 1EP52104 11 M 6.6 11.10 12.6 19.60 44.5 25 2008
## 1085 1EP52105 11 M 6.8 11.70 12.6 19.50 44.5 25 2008
## 1086 1EP52106 11 M 6.7 11.40 11.7 19.40 43.5 25 2008
## 1087 1EP52107 11 M 6.5 11.40 12.1 19.50 44.0 25 2008
## 1088 1EP52108 11 M 6.6 10.90 12.1 19.60 44.0 25 2008
## 1089 1EP52109 11 M 6.3 10.70 12.6 19.20 44.0 25 2008
## 1090 1EP52110 11 M 6.3 11.20 10.3 19.10 42.5 25 2008
## 1091 1EP52111 11 M 7.1 12.20 12.7 19.70 45.5 25 2008
## 1092 1EP52112 11 M 7.2 11.80 12.0 19.40 45.5 25 2008
## 1093 1EP52113 11 M 5.7 10.50 11.4 19.00 41.0 25 2008
## 1094 1EP52114 11 M 6.1 10.60 12.2 19.30 42.5 25 2008
## 1095 1EP52138 675 M 7.0 10.50 NA NA NA 29 2008
## 1096 1EP52139 675 M 5.9 10.40 NA NA NA 29 2008
## 1097 1EP52140 675 M 7.1 11.50 NA NA NA 29 2008
## 1098 1EP52141 675 M 7.3 12.00 NA NA NA 29 2008
## 1099 1EP52142 675 M 6.4 11.00 NA NA NA 29 2008
## 1100 1EP52143 675 M 5.7 10.50 NA NA NA 29 2008
## 1101 1EP52144 675 M 5.2 9.60 NA NA NA 29 2008
## 1102 <NA> 675 M 3.8 8.40 NA NA NA 29 2008
## 1103 1EP52185 V32 M 5.9 11.00 NA NA NA 27 2008
## 1104 1EP52186 V32 M 7.1 12.30 NA NA NA 27 2008
## 1105 1EP52187 V32 M 7.4 12.50 NA NA NA 27 2008
## 1106 1EP52188 V32 M 6.7 11.80 NA NA NA 27 2008
## 1107 1EP52189 V32 M 6.8 12.20 NA NA NA 27 2008
## 1108 1EP52190 V32 M 7.2 12.50 NA NA NA 27 2008
## 1109 1EP52191 V32 M 8.1 13.20 NA NA NA 27 2008
## 1110 1EP52192 V32 M 6.7 12.30 NA NA NA 27 2008
## 1111 1EP52193 V32 M 4.2 8.90 NA NA NA 27 2008
## 1112 1EP52194 V32 M 5.8 11.30 NA NA NA 27 2008
## 1113 1EP52195 V32 M 7.7 12.80 NA NA NA 27 2008Sample sizes:
There are 1113 nestlings from 127 distinct nests; of these, 291 were incubated at the L temperature, 434 at the M temperature, and 388 at the H temperature.
## treat
## nest L M H
## 11 0 11 0
## 112 0 0 11
## 119 0 6 0
## 158 9 0 0
## 159 5 0 0
## 161 0 0 6
## 17 0 0 9
## 176 0 0 8
## 185 0 0 10
## 189 0 0 8
## 191 0 0 7
## 203 0 10 0
## 204 0 0 7
## 207 0 9 9
## 21 0 9 0
## 211 5 10 0
## 213 0 0 9
## 215 0 10 0
## 223 0 0 9
## 247 5 0 7
## 257 0 12 0
## 26 0 9 0
## 269 0 7 0
## 274 0 0 9
## 277 8 0 0
## 279 0 0 9
## 28 4 0 0
## 284 0 8 0
## 29 6 0 0
## 298 8 0 0
## 299 0 0 10
## 31 0 10 0
## 364 0 0 10
## 365 0 0 8
## 367 11 0 0
## 372 9 0 0
## 375 4 0 0
## 4 0 8 0
## 46 0 0 10
## 506 6 0 0
## 508 11 0 0
## 510 4 0 0
## 515 0 5 0
## 524 3 0 0
## 533 11 0 0
## 545 0 0 7
## 548 0 10 0
## 566 0 0 7
## 569 0 0 12
## 571 0 10 0
## 574 0 0 9
## 58 10 0 0
## 6 0 3 0
## 60 5 0 0
## 603 4 0 0
## 606 19 0 0
## 608 11 7 0
## 61 0 7 6
## 613 0 0 10
## 617 0 0 3
## 62 0 9 0
## 623 0 9 0
## 625 0 11 0
## 627 0 10 0
## 629 0 0 11
## 632 0 0 7
## 637 0 18 0
## 642 0 9 0
## 648 0 9 0
## 651 0 9 0
## 654 0 0 9
## 67 0 0 10
## 674 0 0 11
## 675 0 8 0
## 678 4 0 0
## 68 0 12 0
## 687 0 0 8
## 689 0 17 0
## 690 0 0 10
## 692 0 5 0
## 693 10 0 0
## 694 0 8 0
## 695 7 0 0
## 699 0 0 9
## 7001 8 0 0
## 7004 0 7 0
## 7009 0 0 7
## 7013 0 10 0
## 723 0 6 0
## 727 9 0 0
## 729 0 11 8
## 730 0 0 3
## 736 8 0 0
## 753 0 4 0
## 756 9 0 0
## 763 0 7 0
## 771 8 0 0
## 773 5 0 0
## 779 0 0 10
## 78 0 10 0
## 801 0 5 0
## 806 7 0 0
## 808 0 0 6
## 811 0 11 0
## 817 0 7 0
## 82 0 0 9
## 823 0 0 9
## 824 0 5 0
## 826 0 0 10
## 835 8 0 0
## 836 9 0 0
## 838 0 0 9
## 839 0 11 0
## 845 4 0 0
## 860 12 0 0
## 863 0 0 9
## 867 4 0 0
## 869 0 0 4
## 875 7 0 0
## 89 0 0 10
## 94 0 10 0
## 96 6 0 0
## 97 0 9 0
## H8 8 6 0
## V211 0 9 0
## V32 0 11 0
## V53 0 0 9Response variables
We’ll look at mass and tarsus length on days 6 and 14. Color = treatment: 
Questions
- How much are the four measures of size affected by incubation temperature?
- How does this effect (if any) compare to other sources of variation?
- Is there an effect of “nest”, and is it correlated between the four measures?
- How correlated are the four measurements, after accounting for other variables?
A multivariate model
We’d like to fit \[\begin{aligned} \text{mass6}[i] &= \beta_{1,\text{treat[i]}} + \epsilon_{1,i} \\ \text{tarsus6}[i] &= \beta_{2,\text{treat[i]}} + \epsilon_{2,i} \\ \text{mass14}[i] &= \beta_{3,\text{treat[i]}} + \epsilon_{3,i} \\ \text{tarsus14}[i] &= \beta_{4,\text{treat[i]}} + \epsilon_{4,i} \\ \epsilon_i &\sim \MVN(0, \Sigma) . \end{aligned}\]
- \(\beta\) is the mean effect of each treatment
- \(\epsilon\) are the residuals
- \(\Sigma\) is the covariance matrix of the residuals
bf1 <- brmsformula( mvbind(mass6, tars6, mass14, tars14) ~ treat )
priors <- set_prior("normal(0, 5)", class='b', resp=c("mass6", "tars6", "mass14", "tars14"))
bm1 <- brm( bf1 + set_rescor(TRUE), data=nestlings,
prior=priors)## Warning: Rows containing NAs were excluded from the model.## Compiling Stan program...## Start samplingNotes:
set_rescor(TRUE)enables residual correlations.With
set_rescor(FALSE)we’d just have four independent linear models.This:
brmsformula(
mvbind(mass6, tars6, mass14, tars14) ~ treat
)is just shorthand for this:
( brmsformula( mass6 ~ treat ) +
brmsformula( tars6 ~ treat ) +
brmsformula( mass14 ~ treat ) +
brmsformula( tars14 ~ treat ) )Summary:
## Family: MV(gaussian, gaussian, gaussian, gaussian)
## Links: mu = identity; sigma = identity
## mu = identity; sigma = identity
## mu = identity; sigma = identity
## mu = identity; sigma = identity
## Formula: mass6 ~ treat
## tars6 ~ treat
## mass14 ~ treat
## tars14 ~ treat
## Data: nestlings (Number of observations: 862)
## Samples: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
## total post-warmup samples = 4000
##
## Population-Level Effects:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## mass6_Intercept 5.93 0.07 5.80 6.05 1.00 2169 2037
## tars6_Intercept 10.87 0.08 10.71 11.02 1.00 2245 2755
## mass14_Intercept 11.61 0.06 11.49 11.73 1.00 2866 2837
## tars14_Intercept 18.16 0.04 18.07 18.23 1.00 2795 2321
## mass6_treatM -0.05 0.09 -0.22 0.12 1.00 2289 2677
## mass6_treatH 0.17 0.09 -0.01 0.33 1.00 2195 2452
## tars6_treatM 0.13 0.11 -0.08 0.34 1.00 2350 2833
## tars6_treatH 0.34 0.11 0.13 0.54 1.00 2188 2599
## mass14_treatM -0.18 0.08 -0.33 -0.02 1.00 2936 3113
## mass14_treatH 0.00 0.08 -0.15 0.16 1.00 2881 3302
## tars14_treatM 0.28 0.05 0.17 0.38 1.00 3040 3226
## tars14_treatH 0.44 0.06 0.34 0.55 1.00 2784 2874
##
## Family Specific Parameters:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma_mass6 1.00 0.02 0.95 1.05 1.00 2721 2855
## sigma_tars6 1.22 0.03 1.16 1.28 1.00 2514 2772
## sigma_mass14 0.91 0.02 0.87 0.95 1.00 3840 3243
## sigma_tars14 0.63 0.02 0.61 0.67 1.00 3650 3014
##
## Residual Correlations:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## rescor(mass6,tars6) 0.85 0.01 0.83 0.87 1.00 2940 2985
## rescor(mass6,mass14) 0.43 0.03 0.37 0.48 1.00 3842 3043
## rescor(tars6,mass14) 0.27 0.03 0.21 0.34 1.00 3260 2787
## rescor(mass6,tars14) 0.45 0.03 0.39 0.50 1.00 2886 2622
## rescor(tars6,tars14) 0.53 0.02 0.48 0.57 1.00 3139 2995
## rescor(mass14,tars14) 0.54 0.02 0.49 0.59 1.00 3959 3460
##
## Samples were drawn using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).Let’s compare the residual correlations with the actual correlations in the data:
## mass6 tars6 mass14 tars14
## mass6 1.0000 0.8684 0.4433 0.4894
## tars6 0.8684 1.0000 0.2776 0.5347
## mass14 0.4433 0.2776 1.0000 0.5409
## tars14 0.4894 0.5347 0.5409 1.0000Conditional effects:
But what about the “nest” effect?
We assumed that the residuals are independent between nestlings.
But, some are from the same nest?
Seems bad.
Also, recall that
- Is there an effect of “nest”, and is it correlated between the four measures?
Let’s add random effects by nest: \[\begin{aligned} \text{mass6}[i] &= \beta_{1,\text{treat[i]}} + \gamma_{1,\text{nest[i]}} + \epsilon_{1,i} \\ \text{tarsus6}[i] &= \beta_{2,\text{treat[i]}} + \gamma_{2,\text{nest[i]}} + \epsilon_{2,i} \\ \text{mass14}[i] &= \beta_{3,\text{treat[i]}} + \gamma_{3,\text{nest[i]}} + \epsilon_{3,i} \\ \text{tarsus14}[i] &= \beta_{4,\text{treat[i]}} + \gamma_{4,\text{nest[i]}} + \epsilon_{4,i} \\ \epsilon_i &\sim \MVN(0, \Sigma) \\ \gamma_n &\sim \MVN(0, S) \end{aligned}\]
Here:
- \(\beta\) is the mean effect of each treatment
- \(\epsilon\) are the residuals
- \(\Sigma\) is the covariance matrix of the residuals
- \(S\) is the covariance matrix of nest effects
bf2 <- brmsformula( mvbind(mass6, tars6, mass14, tars14) ~ treat + (1|n|nest) )
bm2 <- brm( bf2 + set_rescor(TRUE), data=nestlings, prior=priors )## Warning: Rows containing NAs were excluded from the model.## Compiling Stan program...## Start samplingNew feature:
mvbind(mass6, tars6, mass14, tars14) ~ treat + (1|n|nest)Here (1|n|nest) means that the random effects will be correlated with each other (and all others with label n).
Summary:
## Family: MV(gaussian, gaussian, gaussian, gaussian)
## Links: mu = identity; sigma = identity
## mu = identity; sigma = identity
## mu = identity; sigma = identity
## mu = identity; sigma = identity
## Formula: mass6 ~ treat + (1 | n | nest)
## tars6 ~ treat + (1 | n | nest)
## mass14 ~ treat + (1 | n | nest)
## tars14 ~ treat + (1 | n | nest)
## Data: nestlings (Number of observations: 862)
## Samples: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
## total post-warmup samples = 4000
##
## Group-Level Effects:
## ~nest (Number of levels: 103)
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sd(mass6_Intercept) 0.61 0.06 0.51 0.73 1.00 1112 1626
## sd(tars6_Intercept) 0.72 0.07 0.60 0.86 1.01 458 728
## sd(mass14_Intercept) 0.67 0.05 0.57 0.79 1.01 779 1547
## sd(tars14_Intercept) 0.40 0.04 0.34 0.48 1.00 725 1437
## cor(mass6_Intercept,tars6_Intercept) 0.72 0.06 0.60 0.82 1.00 791 1563
## cor(mass6_Intercept,mass14_Intercept) 0.35 0.10 0.13 0.54 1.01 455 722
## cor(tars6_Intercept,mass14_Intercept) 0.12 0.12 -0.11 0.36 1.00 512 899
## cor(mass6_Intercept,tars14_Intercept) 0.37 0.11 0.14 0.55 1.01 689 1255
## cor(tars6_Intercept,tars14_Intercept) 0.48 0.09 0.28 0.64 1.01 638 1300
## cor(mass14_Intercept,tars14_Intercept) 0.45 0.09 0.26 0.62 1.01 702 1290
##
## Population-Level Effects:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## mass6_Intercept 5.92 0.11 5.71 6.14 1.00 1089 1656
## tars6_Intercept 10.82 0.13 10.57 11.08 1.00 893 1410
## mass14_Intercept 11.62 0.11 11.40 11.84 1.00 934 1497
## tars14_Intercept 18.12 0.07 17.98 18.27 1.01 953 1670
## mass6_treatM 0.02 0.14 -0.26 0.29 1.00 1019 1880
## mass6_treatH 0.10 0.14 -0.18 0.38 1.00 1018 1586
## tars6_treatM 0.26 0.17 -0.08 0.59 1.00 922 1625
## tars6_treatH 0.26 0.17 -0.08 0.59 1.00 1025 1562
## mass14_treatM -0.12 0.14 -0.38 0.15 1.00 943 1752
## mass14_treatH -0.01 0.14 -0.29 0.26 1.00 895 1475
## tars14_treatM 0.33 0.09 0.15 0.52 1.00 1085 1720
## tars14_treatH 0.44 0.10 0.24 0.61 1.00 1117 1893
##
## Family Specific Parameters:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## sigma_mass6 0.82 0.02 0.78 0.86 1.00 1944 2784
## sigma_tars6 1.01 0.03 0.96 1.06 1.00 1800 2629
## sigma_mass14 0.64 0.02 0.61 0.68 1.00 2459 2702
## sigma_tars14 0.51 0.01 0.49 0.54 1.00 2143 2778
##
## Residual Correlations:
## Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
## rescor(mass6,tars6) 0.90 0.01 0.89 0.92 1.00 2276 2748
## rescor(mass6,mass14) 0.48 0.03 0.43 0.54 1.00 2177 3121
## rescor(tars6,mass14) 0.39 0.03 0.33 0.45 1.00 2138 2853
## rescor(mass6,tars14) 0.48 0.03 0.43 0.54 1.00 2089 2898
## rescor(tars6,tars14) 0.54 0.03 0.49 0.59 1.00 2177 2508
## rescor(mass14,tars14) 0.64 0.02 0.60 0.68 1.00 2291 2405
##
## Samples were drawn using sampling(NUTS). For each parameter, Bulk_ESS
## and Tail_ESS are effective sample size measures, and Rhat is the potential
## scale reduction factor on split chains (at convergence, Rhat = 1).Conditional effects:
Exercise:
Without fitting a model, how would you estimate the strength of correlation between (the nest effect on tarsus length at 6 days) and (the nest effect on mass at 6 days)?
Back to the questions
1. How much are the four measures of size affected by incubation temperature?
2. How does this effect (if any) compare to other sources of variation?
3. Is there an effect of “nest”
Well,* 
…and is it correlated between the four measures?
4. How correlated are the four measurements, after accounting for other variables?
Model comparison
Did adding nest improve the model?
Comparing the models comes down to asking: (how much) does knowing measurements of others in the same nest help predict a nestling’s measurements?
this is a job for
crossvalidation
Fancy-pants crossvalidation
## Fitting model 1 out of 5## Fitting model 2 out of 5## Fitting model 3 out of 5## Fitting model 4 out of 5## Fitting model 5 out of 5## Start sampling
## Start sampling
## Start sampling
## Start sampling
## Start sampling## Fitting model 1 out of 5## Fitting model 2 out of 5## Fitting model 3 out of 5## Fitting model 4 out of 5## Fitting model 5 out of 5## Start sampling
## Start sampling
## Start sampling
## Start sampling
## Start samplingExtract out-of-sample predictions
get_rmse <- function (kf) {
varnames <- c("mass6", "tars6", "mass14", "tars14")
rmse <- expand.grid(variable=varnames,
fold=1:5)
rmse$rmse <- NA
for (k in 1:5) {
oos_indices <- kf$fits[[5+k]]
stopifnot(all(oos_indices <= nrow(kf$data)))
obs <- kf$data[oos_indices,]
oos_data <- data.frame(lapply(kf$data, "[", oos_indices))
exp <- predict(kf$fits[[k]], newdata=oos_data)[,"Estimate",]
for (vn in varnames) {
which_row <- which(rmse$variable == vn & rmse$fold == k)
stopifnot(length(which_row) == 1)
rmse$rmse[which_row] <- sqrt(mean((obs[,vn] - exp[,vn])^2))
}
}
return(rmse)
}
rmse <- rbind(cbind(get_rmse(bm1_kfold), model=1),
cbind(get_rmse(bm2_kfold), model=2))Compute root-mean-squared-error
