Table 4 Correlation coefficient between universal and scenario-specific crowd quantities for the bottleneck case. Each trial of all experiments (both students and soldiers) has been used in computing the correlation (thus a total of 63 trials were considered). An higher correlation coefficient indicates a closer linear correlation between both quantities.
Correlation coefficient | Distance ratio | Side change ratio | Velocity fluctuation | Alignment parameter fluctuation | Mean flow rate at the exit |
|---|---|---|---|---|---|
Density | \(\mathbf{0 }.\mathbf{473 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{263 } \, (\mathbf{p } = \mathbf{0 }.\mathbf{038 })\) | \(\mathbf{0 }.\mathbf{509 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{558 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \({-}\mathbf{0 }.\mathbf{340 } \, (\mathbf{p } = \mathbf{0 }.\mathbf{007 })\) |
Congestion level | \(\mathbf{0 }.\mathbf{646 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{341 } \, (\mathbf{p } = \mathbf{0 }.\mathbf{006 })\) | \(\mathbf{0 }.\mathbf{548 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{588 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \({-}\mathbf{0 }.\mathbf{445 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) |
Crowd danger | \(\mathbf{0 }.\mathbf{570 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{286 } \, (\mathbf{p } = \mathbf{0 }.\mathbf{023 })\) | \(\mathbf{0 }.\mathbf{533 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \(\mathbf{0 }.\mathbf{579 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) | \({-}\mathbf{0 }.\mathbf{412 } \, (\mathbf{p } < \mathbf{0 }.\mathbf{001 })\) |