Table 2
Tests for ¾2 = 0
P
Frequency of Rejections in 2000 Replications
½ = 0:0
|
N, T |
W |
Л |
Hb; ¾M = 0 two-sided |
(assuming Л = 0) |
LRi |
H0; ¾M = 0 (assuming Л 6= 0) | |||
|
LMi |
one-sided | ||||||||
|
LMg |
LRg |
LMM |
lRM | ||||||
|
25, 3 |
Rook |
0.0 |
0.037 |
0.014 |
0.038 |
0.038 |
0.045 |
0.036 |
0.027 |
|
0.1 |
0.052 |
0.020 |
0.044 |
0.047 |
0.050 |
0.043 |
0.041 | ||
|
0.2 |
0.044 |
0.015 |
0.039 |
0.045 |
0.045 |
0.040 |
0.039 | ||
|
0.3 |
0.055 |
0.023 |
0.044 |
0.049 |
0.047 |
0.040 |
0.036 | ||
|
0.4 |
0.058 |
0.023 |
0.046 |
0.049 |
0.054 |
0.031 |
0.039 | ||
|
0.5 |
0.069 |
0.017 |
0.043 |
0.046 |
0.048 |
0.041 |
0.038 | ||
|
0.6 |
0.100 |
0.031 |
0.060 |
0.067 |
0.067 |
0.043 |
0.038 | ||
|
0.7 |
0.143 |
0.043 |
0.067 |
0.070 |
0.075 |
0.043 |
0.035 | ||
|
0.8 |
0.215 |
0.050 |
0.074 |
0.080 |
0.083 |
0.040 |
0.034 | ||
|
0.9 |
0.341 |
0.055 |
0.068 |
0.074 |
0.072 |
0.036 |
0.035 | ||
|
25, 3 |
Queen |
0.0 |
0.038 |
0.016 |
0.037 |
0.043 |
0.042 |
0.039 |
0.033 |
|
0.1 |
0.045 |
0.020 |
0.042 |
0.046 |
0.050 |
0.036 |
0.041 | ||
|
0.2 |
0.044 |
0.020 |
0.044 |
0.045 |
0.053 |
0.045 |
0.041 | ||
|
0.3 |
0.058 |
0.020 |
0.043 |
0.043 |
0.051 |
0.039 |
0.040 | ||
|
0.4 |
0.054 |
0.017 |
0.038 |
0.041 |
0.043 |
0.030 |
0.030 | ||
|
0.5 |
0.083 |
0.033 |
0.054 |
0.062 |
0.062 |
0.038 |
0.042 | ||
|
0.6 |
0.089 |
0.032 |
0.055 |
0.060 |
0.058 |
0.041 |
0.034 | ||
|
0.7 |
0.154 |
0.041 |
0.068 |
0.073 |
0.072 |
0.044 |
0.030 | ||
|
0.8 |
0.239 |
0.038 |
0.057 |
0.066 |
0.063 |
0.042 |
0.049 | ||
|
0.9 |
0.388 |
0.033 |
0.039 |
0.045 |
0.051 |
0.031 |
0.035 | ||
|
25, 7 |
Rook |
0.0 |
0.053 |
0.020 |
0.052 |
0.058 |
0.059 |
0.043 |
0.042 |
|
0.1 |
0.045 |
0.018 |
0.045 |
0.047 |
0.053 |
0.039 |
0.030 | ||
|
0.2 |
0.033 |
0.011 |
0.035 |
0.039 |
0.033 |
0.051 |
0.032 | ||
|
0.3 |
0.051 |
0.018 |
0.049 |
0.050 |
0.051 |
0.045 |
0.044 | ||
|
0.4 |
0.063 |
0.022 |
0.046 |
0.046 |
0.047 |
0.051 |
0.036 | ||
|
0.5 |
0.062 |
0.018 |
0.044 |
0.044 |
0.046 |
0.052 |
0.039 | ||
|
0.6 |
0.100 |
0.023 |
0.051 |
0.050 |
0.055 |
0.066 |
0.046 | ||
|
0.7 |
0.168 |
0.035 |
0.056 |
0.059 |
0.058 |
0.050 |
0.036 | ||
|
0.8 |
0.257 |
0.032 |
0.050 |
0.050 |
0.050 |
0.061 |
0.049 | ||
|
0.9 |
0.510 |
0.017 |
0.024 |
0.024 |
0.023 |
0.050 |
0.035 | ||
|
25, 7 |
Queen |
0.0 |
0.059 |
0.022 |
0.059 |
0.057 |
0.058 |
0.052 |
0.044 |
|
0.1 |
0.043 |
0.014 |
0.038 |
0.041 |
0.043 |
0.039 |
0.031 | ||
|
0.2 |
0.036 |
0.014 |
0.041 |
0.039 |
0.039 |
0.053 |
0.037 | ||
|
0.3 |
0.050 |
0.012 |
0.045 |
0.044 |
0.049 |
0.055 |
0.041 | ||
|
0.4 |
0.050 |
0.014 |
0.040 |
0.044 |
0.040 |
0.061 |
0.046 | ||
|
0.5 |
0.069 |
0.025 |
0.050 |
0.054 |
0.049 |
0.053 |
0.039 | ||
|
0.6 |
0.089 |
0.023 |
0.036 |
0.036 |
0.041 |
0.042 |
0.030 | ||
|
0.7 |
0.151 |
0.022 |
0.040 |
0.038 |
0.041 |
0.049 |
0.045 | ||
|
0.8 |
0.307 |
0.015 |
0.030 |
0.030 |
0.030 |
0.052 |
0.051 | ||
|
0.9 |
0.589 |
0.008 |
0.014 |
0.014 |
0.014 |
0.042 |
0.057 | ||
14