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Table 6 ECPs 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

0.9260

0.9750

0.9460

0.9510

0.9020

0.9470

0.9470

0.9500

0.9500

  

0

1

1

0.9060

0.9590

0.9490

0.9340

0.8820

0.9450

0.9450

0.9510

0.9510

  

0.5

2

1.5

0.9160

0.9710

0.9370

0.9480

0.8930

0.9490

0.9490

0.9530

0.9530

 

8

-0.25

0

0.25

0.8950

0.9630

0.9380

0.9460

0.8920

0.9490

0.9380

0.9410

0.9410

  

0

1

1

0.9030

0.9580

0.9430

0.9450

0.9020

0.9400

0.9410

0.9410

0.9410

  

0.5

2

1.5

0.9080

0.9640

0.9370

0.9490

0.9070

0.9500

0.9480

0.9520

0.9520

-0.5

1

-0.25

0

0.25

0.9160

0.9700

0.9460

0.9380

0.8810

0.9440

0.9410

0.9430

0.9420

  

0

1

1

0.9150

0.9670

0.9510

0.9380

0.8970

0.9470

0.9480

0.9480

0.9480

  

0.5

2

1.5

0.9190

0.9650

0.9440

0.9440

0.8940

0.9480

0.9520

0.9540

0.9540

 

8

-0.25

0

0.25

0.9160

0.9680

0.9490

0.9580

0.9160

0.9530

0.9480

0.9440

0.9510

  

0

1

1

0.9080

0.9690

0.9510

0.9590

0.9200

0.9460

0.9450

0.9400

0.9480

  

0.5

2

1.5

0.9130

0.9750

0.9400

0.9630

0.9200

0.9410

0.9410

0.9230

0.9460

-0.1

1

-0.25

0

0.25

0.9230

0.9660

0.9480

0.9500

0.9020

0.9530

0.9470

0.9410

0.9490

  

0

1

1

0.9060

0.9600

0.9380

0.9370

0.8920

0.9430

0.9450

0.9390

0.9500

  

0.5

2

1.5

0.9020

0.9660

0.9410

0.9400

0.8910

0.9530

0.9460

0.9350

0.9460

 

8

-0.25

0

0.25

0.9110

0.9670

0.9450

0.9650

0.9290

0.9440

0.9420

0.8800

0.9470

  

0

1

1

0.9190

0.9720

0.9360

0.9650

0.9270

0.9510

0.9450

0.8810

0.9470

  

0.5

2

1.5

0.9140

0.9700

0.9390

0.9630

0.9270

0.9480

0.9440

0.8890

0.9470

0

1

-0.25

0

0.25

0.9180

0.9580

0.9430

0.9500

0.8980

0.9470

0.9390

0.7900

0.9420

  

0

1

1

0.9150

0.9710

0.9550

0.9550

0.9130

0.9490

0.9500

0.8030

0.9500

  

0.5

2

1.5

0.9180

0.9670

0.9500

0.9590

0.9200

0.9450

0.9510

0.7940

0.9540

 

8

-0.25

0

0.25

0.9380

0.9660

0.9380

0.9560

0.9280

0.9510

0.9510

0.9380

0.9530

  

0

1

1

0.9360

0.9650

0.9340

0.9530

0.9220

0.9560

0.9520

0.9370

0.9540

  

0.5

2

1.5

0.9310

0.9540

0.9340

0.9510

0.9230

0.9450

0.9530

0.9400

0.9540

0.1

1

-0.25

0

0.25

0.9360

0.9640

0.9420

0.9530

0.9210

0.9480

0.9510

0.9430

0.9550

  

0

1

1

0.9350

0.9620

0.9340

0.9520

0.9190

0.9560

0.9520

0.9400

0.9520

  

0.5

2

1.5

0.9290

0.9600

0.9340

0.9440

0.9160

0.9440

0.9470

0.9340

0.9480

 

8

-0.25

0

0.25

0.9300

0.9530

0.9330

0.9470

0.9190

0.9400

0.9380

0.9350

0.9400

  

0

1

1

0.9340

0.9590

0.9310

0.9520

0.9160

0.9410

0.9410

0.9360

0.9420

  

0.5

2

1.5

0.9390

0.9660

0.9330

0.9520

0.9210

0.9530

0.9500

0.9490

0.9530

0.5

1

-0.25

0

0.25

0.9370

0.9640

0.9370

0.9490

0.9120

0.9450

0.9440

0.9430

0.9470

  

0

1

1

0.9450

0.9590

0.9360

0.9450

0.9080

0.9460

0.9420

0.9380

0.9440

  

0.5

2

1.5

0.9430

0.9680

0.9400

0.9520

0.9200

0.9540

0.9480

0.9490

0.9540

 

8

-0.25

0

0.25

0.9340

0.9580

0.9460

0.9520

0.9190

0.9420

0.9450

0.9470

0.9480

  

0

1

1

0.9400

0.9630

0.9470

0.9530

0.9210

0.9550

0.9560

0.9580

0.9580

  

0.5

2

1.5

0.9270

0.9610

0.9330

0.9470

0.9230

0.9420

0.9420

0.9470

0.9460

0.9

1

-0.25

0

0.25

0.9430

0.9660

0.9410

0.9500

0.9140

0.9470

0.9470

0.9480

0.9480

  

0

1

1

0.9410

0.9530

0.9440

0.9400

0.9040

0.9470

0.9460

0.9510

0.9500

  

0.5

2

1.5

0.9430

0.9660

0.9480

0.9490

0.9160

0.9540

0.9560

0.9550

0.9560

 

8

-0.25

0

0.25

0.9320

0.9540

0.9520

0.9450

0.9200

0.9460

0.9460

0.9490

0.9490

  

0

1

1

0.9460

0.9660

0.9470

0.9590

0.9300

0.9470

0.9470

0.9490

0.9490

  

0.5

2

1.5

0.9410

0.9580

0.9460

0.9510

0.9200

0.9550

0.9550

0.9580

0.9580