Table 1.
Actual size of the tests based on the statistics P, M, W, G, and A ( 100 000 simulated values each), at nominal size α = 0.01, 0.05, 0.10, for d = 2, k = 2, (n1, n2) = (10, 10), and d = 3, k = 3, (n1, n2, n3) = (20, 30, 40), and ρ = 0.45, 0.60, 0.75, 0.85.
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d = 2, k = 2, (n1, n2) = (10, 10)
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|---|---|---|---|---|---|---|
| ρ = | 0.45 | 0.60 | ||||
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| α = | 0.01 | 0.05 | 0.10 | 0.01 | 0.05 | 0.10 |
| P | 0.011 | 0.055 | 0.110 | 0.010 | 0.050 | 0.099 |
| M | 0.024 | 0.088 | 0.154 | 0.011 | 0.053 | 0.106 |
| W | 0.007 | 0.043 | 0.093 | 0.005 | 0.033 | 0.072 |
| G | 0.017 | 0.073 | 0.135 | 0.016 | 0.066 | 0.122 |
| A | 0.002 | 0.021 | 0.064 | 0.002 | 0.023 | 0.064 |
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| ρ = | 0.75 | 0.85 | ||||
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| α = | 0.01 | 0.05 | 0.10 | 0.01 | 0.05 | 0.10 |
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| P | 0.010 | 0.050 | 0.099 | 0.010 | 0.050 | 0.099 |
| M | 0.010 | 0.048 | 0.097 | 0.010 | 0.050 | 0.099 |
| W | 0.006 | 0.035 | 0.077 | 0.007 | 0.041 | 0.085 |
| G | 0.016 | 0.066 | 0.123 | 0.016 | 0.066 | 0.122 |
| A | 0.004 | 0.030 | 0.072 | 0.006 | 0.037 | 0.081 |
|
d = 3, k = 3, (n1, n2, n3) = (20, 30, 40)
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|---|---|---|---|---|---|---|
| ρ = | 0.45 | 0.60 | ||||
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|
|
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| α = | 0.01 | 0.05 | 0.10 | 0.01 | 0.05 | 0.10 |
| P | 0.011 | 0.052 | 0.103 | 0.010 | 0.050 | 0.100 |
| M | 0.014 | 0.064 | 0.122 | 0.010 | 0.050 | 0.100 |
| W | 0.022 | 0.087 | 0.155 | 0.012 | 0.057 | 0.112 |
| G | 0.012 | 0.058 | 0.112 | 0.012 | 0.056 | 0.109 |
| A | 0.003 | 0.028 | 0.070 | 0.004 | 0.030 | 0.073 |
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| ρ = | 0.75 | 0.85 | ||||
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| α = | 0.01 | 0.05 | 0.10 | 0.01 | 0.05 | 0.10 |
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| P | 0.009 | 0.049 | 0.099 | 0.010 | 0.051 | 0.100 |
| M | 0.009 | 0.048 | 0.097 | 0.010 | 0.050 | 0.099 |
| W | 0.010 | 0.050 | 0.100 | 0.010 | 0.051 | 0.100 |
| G | 0.011 | 0.055 | 0.108 | 0.012 | 0.056 | 0.109 |
| A | 0.005 | 0.036 | 0.081 | 0.007 | 0.042 | 0.088 |