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).