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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