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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