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Table 7 ECW of various confidence intervals under bivariate t-distribution with different ρ and δ, μ 1, μ 2, \({\sigma _{1}^{2}}\) and (n,n 1,n 2)=(5,5,5) 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

39.9860

40.8450

35.0080

27.6870

23.6020

35.9410

35.9410

36.4110

36.4110

  

0

1

1

39.5890

40.3210

34.6710

27.5260

23.4670

35.9280

35.9280

36.4080

36.4080

  

0.5

2

1.5

39.2290

40.6160

34.8600

27.6570

23.5830

35.9050

35.9050

36.3930

36.3930

 

8

-0.25

0

0.25

32.6680

34.3430

29.0000

22.6520

19.2790

29.8250

29.8650

30.3280

30.3510

  

0

1

1

32.7540

34.2080

28.8030

22.5610

19.2030

29.8370

29.8760

30.3360

30.3630

  

0.5

2

1.5

32.3510

34.3530

28.9420

22.6560

19.2890

29.8380

29.8770

30.3350

30.3580

-0.5

1

-0.25

0

0.25

38.5200

39.5450

34.4200

27.2240

23.2190

35.0120

35.0610

35.4930

35.5290

  

0

1

1

37.8690

39.0530

33.9970

26.9350

22.9710

35.0060

35.0530

35.4800

35.5150

  

0.5

2

1.5

38.7140

39.7290

34.1600

27.1930

23.1930

35.0190

35.0680

35.4960

35.5300

 

8

-0.25

0

0.25

29.3790

32.8700

27.8810

21.7710

18.5360

27.1550

28.3790

27.6280

28.8530

  

0

1

1

28.9240

32.3540

27.5350

21.5080

18.3100

27.1670

28.4000

27.6550

28.8590

  

0.5

2

1.5

30.1060

33.6320

28.5080

22.3350

19.0220

27.1880

28.4140

27.6570

28.8780

-0.1

1

-0.25

0

0.25

31.3890

36.1820

31.7890

25.3610

21.6710

29.6610

31.4040

30.1280

31.7960

  

0

1

1

30.9880

35.1900

30.9350

24.6920

21.0960

29.6870

31.4300

30.1620

31.8160

  

0.5

2

1.5

31.1860

35.2420

31.2250

24.8410

21.2380

29.6730

31.4220

30.1440

31.8080

 

8

-0.25

0

0.25

23.8340

31.2500

26.6610

20.8190

17.7300

20.9570

26.8340

21.2360

27.2880

  

0

1

1

23.4990

31.1470

26.6370

20.8520

17.7590

20.9660

26.8530

21.2550

27.3120

  

0.5

2

1.5

23.1750

30.4390

26.1330

20.3920

17.3770

20.9520

26.8280

21.2470

27.2670

0

1

-0.25

0

0.25

16.7960

30.7840

27.3290

21.9590

18.8280

16.6250

27.2590

16.9850

27.6450

  

0

1

1

17.1650

30.5510

27.3190

21.8760

18.7550

16.6250

27.2600

16.9750

27.6580

  

0.5

2

1.5

16.9980

30.6500

27.2430

22.0410

18.9120

16.6160

27.2610

16.9700

27.6440

 

8

-0.25

0

0.25

27.2420

29.7100

27.2280

22.7000

20.2600

26.0380

27.9560

26.2890

28.2960

  

0

1

1

27.6030

29.9040

27.3850

22.8460

20.3900

26.0420

27.9600

26.2820

28.2960

  

0.5

2

1.5

27.4440

29.6420

27.2230

22.6840

20.2480

26.0420

27.9660

26.2770

28.2950

0.1

1

-0.25

0

0.25

36.7630

38.5960

35.2540

29.7190

26.5230

35.0020

36.7010

35.3140

37.1130

  

0

1

1

36.9580

38.9090

35.4500

29.9490

26.7290

34.9960

36.6930

35.3230

37.1390

  

0.5

2

1.5

36.6820

38.7640

35.2490

29.7940

26.5910

34.9890

36.6840

35.3050

37.1090

 

8

-0.25

0

0.25

26.8170

28.2480

25.9750

21.6000

19.2790

25.9390

26.5530

26.1980

26.8650

  

0

1

1

27.0150

28.2910

26.0250

21.6540

19.3270

25.9380

26.5470

26.1960

26.8510

  

0.5

2

1.5

27.1980

28.6990

26.3160

21.9060

19.5540

25.9400

26.5480

26.1920

26.8500

0.5

1

-0.25

0

0.25

35.0610

35.8660

32.9600

27.7210

24.7450

33.0080

33.6310

33.3300

34.0030

  

0

1

1

35.2510

35.8450

32.9690

27.7590

24.7790

32.9910

33.6170

33.3000

33.9910

  

0.5

2

1.5

34.6160

35.6320

32.7980

27.5930

24.6330

32.9950

33.6200

33.3110

33.9920

 

8

-0.25

0

0.25

26.0830

26.9080

24.8210

20.5850

18.3740

25.0540

25.0810

25.3290

25.3590

  

0

1

1

25.6840

26.7000

24.6450

20.4400

18.2450

25.0390

25.0650

25.3160

25.3480

  

0.5

2

1.5

25.9800

26.9400

24.8400

20.5900

18.3810

25.0410

25.0680

25.3280

25.3580

0.9

1

-0.25

0

0.25

31.7980

32.2880

29.9420

25.1170

22.4300

30.2210

30.2530

30.5230

30.5690

  

0

1

1

31.8710

32.0900

29.8060

24.9940

22.3200

30.1980

30.2290

30.5050

30.5500

  

0.5

2

1.5

31.3990

32.0560

29.7450

24.9700

22.3010

30.2140

30.2440

30.5180

30.5600

 

8

-0.25

0

0.25

25.4700

26.4860

24.4770

20.2660

18.0900

24.6850

24.6850

24.9600

24.9600

  

0

1

1

25.5190

26.3770

24.3630

20.1840

18.0160

24.6740

24.6740

24.9450

24.9450

  

0.5

2

1.5

25.4630

26.4500

24.4990

20.2850

18.1100

24.6930

24.6930

24.9760

24.9760