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Table 4 ECW of various confidence intervals under bivariate normal distribution with different ρ and δ, μ 1, μ 2, \({\sigma _{1}^{2}}\) and (n,n 1,n 2)=(5,2,2) and \({\sigma _{2}^{2}}=4\)

From: Confidence intervals construction for difference of two means with incomplete correlated data

ρ \({\sigma _{1}^{2}}\) δ μ 1 μ 2 T 1 T 2 T g W s W a B 1 B 2 B 3 B 4
-0.9 1 -0.25 0 0.25 8.0510 9.8480 7.6040 4.9790 4.0830 6.5400 6.9700 6.5380 6.9700
   0 1 1 8.0980 9.8440 7.6290 4.9880 4.0930 6.5410 6.9710 6.5410 6.9710
   0.5 2 1.5 8.1690 9.7210 7.6410 5.0880 4.2070 6.5420 6.9700 6.5410 6.9680
  8 -0.25 0 0.25 10.8170 12.0750 9.6020 6.5090 5.2840 8.8020 9.1950 8.8010 9.1960
   0 1 1 10.8350 12.1090 9.5830 6.5080 5.2840 8.8030 9.1950 8.8050 9.1940
   0.5 2 1.5 10.8310 12.0670 9.5720 6.5610 5.3560 8.8080 9.2000 8.8070 9.1960
-0.5 1 -0.25 0 0.25 12.7390 14.0040 11.0300 7.6080 6.1620 10.2980 10.7370 10.2990 10.7370
   0 1 1 12.7510 14.0800 11.0500 7.6310 6.1810 10.3020 10.7410 10.3000 10.7380
   0.5 2 1.5 12.7460 14.0150 11.0120 7.6540 6.2220 10.3070 10.7470 10.3080 10.7450
  8 -0.25 0 0.25 7.9520 9.4420 7.3030 4.7520 3.8910 6.4600 6.5990 6.4620 6.6000
   0 1 1 7.9990 9.4880 7.3300 4.7760 3.9140 6.4630 6.6000 6.4630 6.6030
   0.5 2 1.5 7.9410 9.4190 7.3300 4.8830 4.0460 6.4650 6.6040 6.4630 6.6010
-0.1 1 -0.25 0 0.25 10.1230 11.1210 8.9290 6.0060 4.8870 8.2480 8.3910 8.2510 8.3940
   0 1 1 10.1150 11.2600 9.9060 6.0040 4.8850 8.2490 8.3920 8.2490 8.3930
   0.5 2 1.5 10.0550 11.1650 9.8830 6.0750 4.9860 8.2460 8.3880 8.2480 8.3890
  8 -0.25 0 0.25 11.8990 12.9260 10.2600 7.0330 5.7080 9.6020 9.7660 9.6030 9.7670
   0 1 1 11.9170 12.9540 10.2910 7.0500 5.7240 9.6030 9.7670 9.6020 9.7670
   0.5 2 1.5 11.9290 13.0050 10.2490 7.1130 5.8070 9.5990 9.7620 9.5980 9.7610
0 1 -0.25 0 0.25 7.4380 8.7970 6.9270 4.4570 3.6460 6.2020 6.2080 6.1980 6.2060
   0 1 1 7.4070 9.0290 6.9140 4.4570 3.6480 6.2100 6.2160 6.2100 6.2160
   0.5 2 1.5 7.4750 9.0040 6.9620 4.6380 3.8580 6.2020 6.2080 6.2000 6.2060
  8 -0.25 0 0.25 9.0700 10.2520 8.2140 5.4680 4.4610 7.4900 7.4970 7.4910 7.4960
   0 1 1 9.0480 10.0050 8.1310 5.4190 4.4290 7.4910 7.4980 7.4880 7.4960
   0.5 2 1.5 9.1370 10.2100 8.2110 5.5930 4.6170 7.4920 7.5000 7.4910 7.4970
0.1 1 -0.25 0 0.25 10.5430 11.8910 9.3750 6.3650 5.1880 8.6680 8.6760 8.6700 8.6770
   0 1 1 10.5330 11.7900 9.3610 6.3410 5.1710 8.6680 8.6760 8.6660 8.6740
   0.5 2 1.5 10.6010 11.7180 9.3710 6.4860 5.3310 8.6700 8.6780 8.6680 8.6770
  8 -0.25 0 0.25 7.3190 8.8790 6.8430 4.3920 3.5910 6.1080 6.1080 6.1070 6.1070
   0 1 1 7.2750 8.7620 6.8270 4.3840 3.5900 6.1090 6.1090 6.1090 6.1090
   0.5 2 1.5 7.3480 8.7970 6.8640 4.5800 3.8160 6.1070 6.1070 6.1040 6.1040
0.5 1 -0.25 0 0.25 8.7070 9.8380 7.9460 5.2650 4.3050 7.2590 7.2590 7.2570 7.2570
   0 1 1 8.7510 9.9250 7.9940 5.3100 4.3450 7.2570 7.2570 7.2540 7.2540
   0.5 2 1.5 8.8320 10.0890 8.0490 5.4970 4.5480 7.2590 7.2590 7.2590 7.2590
  8 -0.25 0 0.25 10.2360 11.4530 9.1100 6.1750 5.0390 8.3820 8.3820 8.3810 8.3810
   0 1 1 10.1380 11.2610 9.0610 6.1540 5.0260 8.3810 8.3810 8.3850 8.3850
   0.5 2 1.5 10.1020 11.3160 9.0800 6.2300 5.1320 8.3830 8.3830 8.3830 8.3830
0.9 1 -0.25 0 0.25 7.2300 8.9110 6.8140 4.3740 3.5750 6.0000 6.0070 6.0020 6.0090
   0 1 1 7.3030 8.6810 6.7940 4.3620 3.5700 5.9960 6.0020 5.9950 6.0020
   0.5 2 1.5 7.2340 8.8310 6.7930 4.5270 3.7720 5.9990 6.0060 5.9990 6.0050
  8 -0.25 0 0.25 8.4830 9.7340 7.8050 5.1900 4.2510 7.0030 7.0110 6.9980 7.0050
   0 1 1 8.4410 9.6700 7.7630 5.1400 4.2100 7.0010 7.0080 6.9970 7.0050
   0.5 2 1.5 8.4160 9.8250 7.8290 5.3240 4.4150 7.0000 7.0080 7.0020 7.0100