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.