Table 2.
Normal distribution | Scenario 1 |
Scenario 2 |
||||
---|---|---|---|---|---|---|
Covariance | Struct-1 | Struct-2 | Struct-3 | Struct-1 | Struct-2 | Struct-3 |
Empirical FDR | ||||||
Xie and Kang | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
Sparse CCA | 92.7 | 15.2 | 9.2 | 91.5 | 12.3 | 10.2 |
Our test | 4.1 | 2.9 | 4.1 | 4.0 | 3.1 | 4.5 |
Empirical power | ||||||
Xie and Kang | 88.5 | 10.8 | 37.4 | 94.7 | 20.6 | 49.8 |
Sparse CCA | 27.5 | 7.3 | 3.0 | 26.4 | 1.1 | 0.8 |
Our test | 100.0 | 90.2 | 95.3 | 100.0 | 91.5 | 95.5 |
t-distribution | Scenario 1 |
Scenario 2 |
||||
Covariance | Struct-1 | Struct-2 | Struct-3 | Struct-1 | Struct-2 | Struct-3 |
Empirical FDR | ||||||
Xie and Kang | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 | 0.0 |
Sparse CCA | 91.8 | 15.8 | 3.5 | 89.8 | 7.5 | 8.1 |
Our test | 2.6 | 2.1 | 2.8 | 2.7 | 2.2 | 2.7 |
Empirical power | ||||||
Xie and Kang | 59.9 | 6.2 | 23.7 | 76.8 | 11.4 | 32.4 |
Sparse CCA | 29.2 | 10.6 | 0.2 | 25.8 | 0.5 | 0.9 |
Our test | 99.8 | 81.4 | 88.0 | 99.8 | 82.1 | 88.3 |
NOTES: It is also compared with the testing method of Xie and Kang (2017) and sparse CCA. The results are based on 100 data replications. The significance level is set at α = 5%. The sample size is n = 150.