(µ1, µ2, γ1, γ2 ) n=100 n=1000 (0,0,0,0) 0.038 0.038 (1, -1, 0.1, 0.1) (1, -1, 0.2, 0.2) (2, -2, 0.1, 0.1) (2, -2, 0.2, 0.2) 0.050 0.021 0.092 0.015 0.054 0.033 0.521 0.046 (1, 0, 0.2, 0.1)   ( 0, -1, 0.2, 0.1) (2, 0, 0.2, 0.1)  ( 0, -2, 0.2, 0.1) 0.291  0.091 0.845 0.408 1.000 0.780 1.000 1.000 (1, -1, 0.2, 0.1) (1, -2, 0.1, 0.1) (2, -2, 0.2, 0.1) (2, -1, 0.2, 0.2) 0.096 0.170 0.137 0.256 0.657 0.979 0.975 1.000

Shown above are results from testing the omnibus null hypothesis based on a simulation of size 1000 and using the procedure from Section 2.

Table 1: Type I Error and Power for BCN+NP Data: α1=α2=α3=α4=0.0125.