M0 Population 1 Population 2 Populations 1 and 2   -2ln(Λ)   d.f.  χ2p-value 
0 -91.8939 -91.8939 -183.7877      
1 -72.8523 -71.1008 -144.1506 0.3949 2 0.8208 
2 -68.7839 -66.1711 -135.5405 1.1710 4 0.8829 
3 -68.2188 -65.0110 -134.3438 2.2281 6 0.8976 
4 -65.6811 -64.7347 -133.2813 5.7310 8 0.6773 
5 -64.6047 -64.6029 -132.6212 6.8271 10 0.7417 
6 -63.9279 -64.4850 -131.9476 7.0695 12 0.8530 
Table 1: Results of the NNTS likelihood ratio test for homogeneity when applied to two samples of 50 data points from a von Mises population with µ = 3.1962 and κ = 1.5510.