Table 13 Power of various confidence intervals with different ρ and δ, μ 1, μ 2, (n,n 1,n 2)=(5,5,2), when \({\sigma _{1}^{2}}={\sigma _{2}^{2}}=4\)
From: Confidence intervals construction for difference of two means with incomplete correlated data
Bivariate normal distribution | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
ρ | δ | μ 1 | μ 2 | T 3 | T 4 | T 5 | W s | W a | B 1 | B 2 | B 3 | B 4 |
-0.9 | -0.25 | 0 | 0.25 | 1.5 | 2.5 | 4.3 | 7.5 | 12.4 | 5.2 | 4.8 | 6.6 | 5.0 |
0.5 | 2 | 1.5 | 3.2 | 4.1 | 6.4 | 10.8 | 15.6 | 7.5 | 7.4 | 9.4 | 7.4 | |
-0.5 | -0.25 | 0 | 0.25 | 3.9 | 3.0 | 5.7 | 8.5 | 12.9 | 5.6 | 5.1 | 5.6 | 5.2 |
0.5 | 2 | 1.5 | 4.0 | 3.0 | 6.5 | 9.9 | 14.4 | 6.8 | 6.9 | 7.3 | 6.8 | |
-0.1 | -0.25 | 0 | 0.25 | 3.6 | 2.9 | 6.2 | 9.5 | 14.8 | 5.8 | 5.8 | 5.9 | 6.0 |
0.5 | 2 | 1.5 | 5.5 | 4.9 | 8.7 | 11.3 | 16.4 | 8.3 | 8.2 | 7.9 | 7.9 | |
0 | -0.25 | 0 | 0.25 | 4.4 | 3.3 | 6.9 | 9.8 | 14.7 | 5.7 | 5.7 | 5.9 | 5.9 |
0.5 | 2 | 1.5 | 4.7 | 4.0 | 7.6 | 10.8 | 16.7 | 7.9 | 7.9 | 7.6 | 7.6 | |
0.1 | -0.25 | 0 | 0.25 | 3.5 | 2.9 | 5.5 | 8.2 | 13.3 | 5.8 | 5.7 | 5.7 | 5.7 |
0.5 | 2 | 1.5 | 5.1 | 4.3 | 8.1 | 11.6 | 16.2 | 7.6 | 7.3 | 7.5 | 7.4 | |
0.5 | -0.25 | 0 | 0.25 | 4.7 | 3.3 | 5.9 | 9.6 | 14.7 | 6.7 | 6.5 | 8.5 | 6.3 |
0.5 | 2 | 1.5 | 5.3 | 5.1 | 8.4 | 13.1 | 17.9 | 11.1 | 10.8 | 13.2 | 10.6 | |
0.9 | -0.25 | 0 | 0.25 | 3.9 | 3.5 | 4.7 | 9.7 | 15.4 | 10.7 | 6.5 | 27.5 | 6.4 |
0.5 | 2 | 1.5 | 9.1 | 6.0 | 8.2 | 13.7 | 18.0 | 27.9 | 11.4 | 27.3 | 11.2 | |
Bivariate t-distribution | ||||||||||||
-0.9 | -0.25 | 0 | 0.25 | 1.2 | 2.1 | 4.0 | 6.7 | 11.6 | 4.9 | 5.1 | 5.9 | 4.7 |
0.5 | 2 | 1.5 | 1.5 | 2.0 | 4.0 | 6.1 | 11.4 | 4.9 | 5.0 | 6.1 | 4.3 | |
-0.5 | -0.25 | 0 | 0.25 | 2.0 | 1.5 | 4.2 | 6.2 | 12.2 | 4.8 | 5.1 | 5.1 | 4.9 |
0.5 | 2 | 1.5 | 2.0 | 1.8 | 5.0 | 6.8 | 12.7 | 6.3 | 6.3 | 6.4 | 5.9 | |
-0.1 | -0.25 | 0 | 0.25 | 2.9 | 2.8 | 6.0 | 8.3 | 15.2 | 7.1 | 7.0 | 6.7 | 6.4 |
0.5 | 2 | 1.5 | 2.0 | 1.9 | 5.0 | 7.0 | 12.7 | 4.4 | 4.4 | 4.1 | 4.0 | |
0 | -0.25 | 0 | 0.25 | 2.5 | 2.0 | 4.1 | 6.7 | 12.4 | 5.0 | 5.0 | 4.5 | 4.5 |
0.5 | 2 | 1.5 | 2.2 | 1.9 | 4.6 | 6.5 | 12.8 | 6.1 | 6.1 | 5.9 | 5.9 | |
0.1 | -0.25 | 0 | 0.25 | 2.4 | 2.1 | 4.4 | 7.0 | 12.0 | 5.2 | 5.1 | 5.0 | 5.0 |
0.5 | 2 | 1.5 | 2.9 | 2.7 | 5.6 | 7.4 | 13.2 | 5.3 | 5.1 | 4.9 | 5.0 | |
0.5 | -0.25 | 0 | 0.25 | 1.3 | 2.0 | 4.4 | 6.1 | 11.4 | 5.0 | 5.2 | 6.4 | 5.2 |
0.5 | 2 | 1.5 | 1.7 | 2.0 | 4.7 | 6.1 | 11.4 | 4.9 | 5.1 | 5.9 | 4.7 | |
0.9 | -0.25 | 0 | 0.25 | 1.3 | 2.8 | 3.4 | 5.0 | 10.4 | 5.0 | 4.8 | 5.4 | 4.4 |
0.5 | 2 | 1.5 | 2.1 | 2.2 | 2.7 | 5.1 | 11.7 | 5.7 | 5.8 | 5.8 | 5.2 | |