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Table 3 Overall statistics of all referral paths in 2006-2011

From: Referral paths in the U.S. physician network

Year 2006 2007 2008 2009 2010 2011
#referral paths 4.44M 4.45M 4.54M 4.59M 4.63M 4.66M
Avg length 3.850 3.907 3.983 4.023 4.061 4.115
Avg gap for a referral 8.509 8.506 8.369 8.352 8.230 8.060
Avg time range 24.247 24.727 24.969 25.245 25.192 25.109
Percent of paths with recurrent nodes 33.418 32.879 32.836 32.784 32.573 32.301
Avg #nodes before recurrence 4.087 4.130 4.179 4.196 4.223 4.271
Avg physician entropy 1.400 1.410 1.423 1.427 1.436 1.448
Avg hospital entropy 0.475 0.473 0.476 0.459 0.480 0.481
Avg HRR entropy 0.107 0.109 0.108 0.105 0.112 0.116
Avg bidirectional pairs in a path 0.450 0.455 0.465 0.474 0.476 0.479