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Table 2 Mean and Variance of drawn liabilities and of normal order statistics

From: Validation of models for analysis of ranks in horse breeding evaluation

Ranking Mean Variance
  Drawing Order Stat. Drawing Order Stat.
1 1.527 1.539 0.352 0.344
2 0.990 1.001 0.220 0.215
3 0.640 0.656 0.172 0.175
4 0.359 0.376 0.151 0.158
5 0.110 0.123 0.148 0.151
6 -0.136 -0.123 0.154 0.151
7 -0.385 -0.376 0.153 0.158
8 -0.665 -0.656 0.171 0.175
9 -1.008 -1.001 0.202 0.215
10 -1.538 -1.539 0.344 0.344
  1. 10 "equal" competitors by event, 1000 repetitions, 100 iterations for each event