Sample Size

(n = m)

π₁

π₂

Gamma Distribution Parameters

α₁ = 2

β₁ = 2

α₁ = 2.2

β₁ = 2.2

α₁ = 2.3

β₁ = 2.3

α₁ = 2.4

β₁ = 2.4

50

0.1

0.1

0.0467

0.1301

0.2536

0.4214

0.2

0.1605

0.2575

0.3918

0.5512

0.3

0.4914

0.5865

0.6786

0.7845

100

0.1

0.1

0.0511

0.2349

0.4961

0.7627

0.2

0.3089

0.5310

0.7169

0.8843

0.3

0.8419

0.9103

0.9582

0.9832

200

0.1

0.1

0.0500

0.4684

0.8387

0.9785

0.2

0.5975

0.8551

0.9672

0.9969

0.3

0.9938

0.9982

0.9998

1.0000

500

0.1

0.1

0.0527

0.8954

0.9987

1.0000

0.2

0.9619

0.9994

1.0000

1.0000

0.3

1.0000

1.0000

1.0000

1.0000

50

0.2

0.2

0.0476

0.1212

0.2326

0.3845

0.3

0.1211

0.2033

0.3123

0.4592

0.4

0.3719

0.4598

0.5620

0.6719

100

0.2

0.2

0.0493

0.2140

0.4599

0.7229

0.3

0.2178

0.4140

0.6173

0.8144

0.4

0.7015

0.8032

0.8920

0.9539

200

0.2

0.2

0.0508

0.4294

0.7991

0.9691

0.3

0.4218

0.7373

0.9243

0.9893

0.4

0.9585

0.9878

0.9967

0.9997

500

0.2

0.2

0.0503

0.8592

0.9971

1.0000

0.3

0.8459

0.9932

1.0000

1.0000

0.4

1.0000

1.0000

1.0000

1.0000