| Comparing Guessing Games with Homogeneous and Heterogeneous Players: | ||||||||||||
| Experimental Results and a CH Explanation | ||||||||||||
| Eugen Kovac, Andreas Ortmann, and Martin Vojtek | ||||||||||||
| (March 2007) | ||||||||||||
| Results of Mann-Whitney tests | ||||||||||||
| our HOM > HET | q=1/3: GKS > our | q=2/3: GKS > our | q=1/2: GKS <> our | |||||||||
| Round | z-statistics | p-value | z-statistics | p-value | z-statistics | p-value | z-statistics | p-value | ||||
| 1 | 0.06 | 0.476 | 1.21 | 0.113 | 2.52 | 0.006 | 0.90 | 0.368 | ||||
| 2 | 1.42 | 0.078 | 1.49 | 0.068 | 4.16 | 0.000 | -0.33 | 0.741 | ||||
| 3 | 2.29 | 0.011 | 3.07 | 0.001 | 3.92 | 0.000 | -1.31 | 0.190 | ||||
| 4 | 2.38 | 0.009 | 3.54 | 0.000 | 4.03 | 0.000 | -0.58 | 0.565 | ||||
| 5 | 2.74 | 0.003 | 3.61 | 0.000 | 4.25 | 0.000 | -0.99 | 0.320 | ||||
| Test | Data | Alternative hypothesis | ||||||||||
| our HOM > HET | Our data HOM vs. pooled HET | Distribution in HET is closer to the equilibrium than distribution in HOM (1-sided). | ||||||||||
| q=1/3: GKS > our | Our q=1/3 vs. GKS q=1/3 | For q=1/3: Our distribution is closer to the equilibrium than GKS's distribution (1-sided). | ||||||||||
| q=2/3: GKS > our | Our q=2/3 vs. GKS q=2/3 | For q=2/3: Our distribution is closer to the equilibrium than GKS's distribution (1-sided). | ||||||||||
| q=1/2: GKS <> our | Our q=1/2 vs. GKS q=1/2 | For q=1/2: Our distribution differs from GKS's distribution (2-sided). | ||||||||||