Stat Table 1

8/11/2019 Stat Table 1

1/17

Table

I

Cumulative

Binomial

Probabilities

p: probability

of success n a

single

tial;

n:

number

of trials.

The

table

gives

the

probability

of obtaining

r

or

more

successes

n n independenttrials.That

is

When here s no entry for a

particular

pair

of valuesof

r

and

p,

this

indicates

hat

tlre

appropriate

probability

is less

than

0.000 05. Similarly,

except

or

the

case

=

0,

when he

entry.s

exact,a tabulated

alue

of

1.0000

epresents

probabilitygreaterhan0.99995.

Z(.)o.tr-P)'-'

p:

0,01 0.02 0.03

0.04

0.05

0.06

0.07

0.08

0.09

n=2

n:5

n: l0

n=20

n: 50

r:0

I

2

a

.f

4

r:0

I

2

3

4

.0107

.0019

.0003

5

6

r:0

I

2

a

)

4

5

6

7

8

r:0

I

2

a

J

4

r=0

I

L

5

6

7

8

9

1.0000 10000

1.0000

.0199 .0396

.0591

.0001 .0004

.0009

1.0000 1,0000 1.0000

.0490 .0961

.1413

.0010

.0038

.0085

.0001

.

.0003

1.0000 1.0000

1.0000

.0956 .1829

.2626

.0043 .0162 .0345

.0001 .0009 .0028

.0001

1.0000 1.0000

.0975 .1164

.0025 .0036

1.0000

1.0000

.2262

.2661

.0226 .0319

.0012

.0020

.0001

1.0000

1.0000

.4013 .46t4

.0861

.t176

.0115

.0188

.0010

.0020

.0002

1.0000

.7099

.3395

.1 50

.0290

.0056

.0009

.0001

1.0000

.9547

.8100

.5838

.3527

.1794

.0776

.0289

.0094

.0027

1.0000

1.0000

.1351

.1536

.0049

.0064

1.0000

1.0000

.3043

.3409

.0425

.0s44

.0031

.0045

.0001

.0002

1.0000

.17t9

.0081

1.0000

.3760

.0674

.0063

.0003

1.0000

1.0000

1.0000

.5160

.5656 .6106

.1517

.1879 .2254

.0283 0401

.0540

.0036

.0058 .0088

.0003

.0006 .0010

.0001

1.0000.

1.0000 1.0000

.7658

.81 3 .8484

.4131

.4831 .5484

.1610 .212r .266,6

.047t .a706 .0993

1.0000

.9734

.8735

.6892

.4673

.2710

.1350

.0583

.0220

.0073

.0022

.0006

.0001

.0183 .0290

.0038 .0068

.0006 .0013

.0001 .0002

L0000 1.0000

.9845 .9910

.9t73 .9468

.7740

.8395

.5747 .6697

.3710 .4723

.2081

.2928

.1019 .1596

.0438

0768

.0t67

.0328

.0056

.0125

.0017

.0043

.0005 .0013

.0001 .0004

.0001

1.0000

.0784

.0016

1.0000

.1 46

.0148

.0006

1.0000

.3352

.0582

.0062

.0004

1.0000

.5580

.1897

.0439

.0074

.0010

.0001

1.0000

.8701

.5995

.3233

.

39l

.0490

.0144

.0036

.0008

.0001

1.0000

.6415

.2642

.0755

.0159

1.0000

.9231

.7206

.4595

.2396

.1036

.0378

.01l8

.0032

.0008

.0002

1.0000

1.0000 1.0000

.1821

.3324

.4562

.0169

.0599

. l

198

.0010

.0071 .0210

.0006 .0027

.0003

1.0000 1.0000

1.0000

.3950

.6358

.7819

.0894

.2642

.4447

.0138 .0784

..1892

.0016

.0178

.0628

.0001

.0032 .0168

.0005

.0037

.0001 .0007

.0001

-\e-

t0

l t

t2

l3

l4

/


2/17

Tabte

I

Cumulative

Binomial

Probabilities

continued

n:

r

0.01

0.02

0.03

0.04

0.08

.0 7

.06

.0s

0.09

n=100

r:0

I

2

J

4

J

6

1

8

9

l0

1l

l2

13

l4

15

l6

I'7

l8

19

1.0000

.6340

.2642

.0'194

.0184

.0034

.0005

.0001

1.0000

.9831

.9128

.7679

.5705

.3711

.2116

.1064

.0475

.0190

.0068

.0022

.0007

.0002

1.0000

.9993

.9940

.9742

.9256

.8368

.7086

.s557

.4012

.2660

.1620

.0908

.0469

.0224

.0099

.0041

.0016

.0006

.0002

.0001

1.0000

1.0000

.8674

.9524

.s967

.8054

.3233

.5802

.1410

.3528

.0508 .1s21

.0155

.0808

.0041

.0312

.0009

.0106

.0002

.0032

1.0000

1.0000

.994r

.99',79

.9629

.9848

.8817

.9434

.7422

.8570

.5640 .7232

.3840

.5593

.2340

.3936

.1280

.2517

.0631

.1463

.0282

.0775

.0115

.03',16

.0043

.0168

.0015

.0069

.0005

.0026

.0001

.0009

.0003

.0001

1.0000

1.0000

.9998

.9999

.9977

.999r

.9887

.99s2

.9633

.9827

.9097 .9526

.8201

.8955

.6968

.8060

.5s29

.68',72

.4074

.5506

.2780

.4125

.1757

.2882

.1028

.1876

.0559

.1138

.0282

.0645

.0133

.0341

.0058

.0169

.0024

.0078

.0009

.0034

.0003

.0014

.0001 .0005

.0002

.0001

0009

0002

20

2l

22

0.50

.30

.20

.15

.10

0.35

0.40

0.45

.25

=

r

r :0

I

2

r :0

I

a

L

J

4

n=2

n:5

5

n

=

l0

r

:0

1.0000

I

.6513

2

.2639

3

.0702

4 .0128

1.0000

.1900

.0100

1.0000

.4095

.0815

.0086

.0005

n:20 r:0 1.0000

I

.8784

2

.6083

3

.3231

4

.1330

5

.0432

6 .0113

7 .0024

8 .0004

9 .0001

l0

l l

t2

13

l4

15

l6

t' l

18

1.0000

1.0000

.2775

.3600

.0225

.0400

1.0000

1.0000

.5563

.6723

.1648

.2627

.0266

.0579

.0022 .006'l

.0001

.0003

1.0000

1.0000

.8031

.8926

.4557

.6242

.1798

.3222

.0500

.1209

.0099

.0328

.0014

.0064

.0001

.0009

.0001

\

\

1.0000 L0q0o

.9612

.9885

.8244

.9308

.s951

.7939

.T23

.5886

.t702

.3704

.06'73

.1958

.0219

.0867

.0059

.0321

.0013

.0100

.0002

.0026

.0006

.0001

1.0000

1.0000

.43'7s

.5100

.0625

.0900

1.0000

1.0000

.7627

.8319

.3612

.4',118

.1035

.1631

.0156

.0308

.0010

.0024

1.0000

1.0000

.9437

.9718

.7560

.8507

.4744

.6172

.2241

.3504

.0781

.1503

.0t9'l

.0473

.0035

.0106

.0004

.0016

.0001

1.0000 1.0000

.9968

.9992

.9',751

.9924

.9087

.9645

.7148

.8929

.5852

.7625

.3828

.5836

.2142

.3920

.1018

.227',1

.0409

.1133

.0139

.0480

.0039

.0171

.0009

.0051

.0002

.0013

.0003

1.0000

1.0000

.5775

.6400

.t225

.1600

1.0000

.8840

.5716

.2352

.0540

1.0000

1.0000'

1.0000

.9222

.949',7

.9688

.6630

.',7438

.8125

.31'74

.4069

.5000

.0870

.1312

.1875

.0185

.0313

1.0000

1.0000

.991s

.9990

.9"767

.9893

.9004

.9453

.7430

.8281

.4956

.6230

.2616

.3',770

.1020

.1719

.0274

.0547

.0045

.0107

.0003

.0010

1.0000

1.0000

.697s

.7500

.202s

.2500

5

.0016

6

.0001

'7

8

9

l0

.0053

.0102

1.0000

1.0000

.9865

.9940

.9140

.9s36

1384

.832',7

.4862

.617',7

.2485

.3669

.0949

.1662

.0260

.0548

.0048

.0123

.0005

.0017

.0001

.8818

.7546

.5834

.3990

.2376

.

2l8

.0532

.0196

.0060

.001s

.9490

.9811

.9941

.

.8744

.9447

.9793

{--.7500r

.8701

.9423

.5841

.7480

.8684

.4044 .58s7

.7483

.2447 .4086

.s881

.t275

.2493

.4119

.0565

.1308

.2517

.0210

.0580

.1316

.0065

.0214

.0577

.0207

.0059

.0013

.0002

1.0000 1.0000 1.0000

1.0000

.9998

1.0000

1.0000 1.0000

.9979

.9995

.9999

1.0000

.9879

.9964

.9991

.9998

.9556

.9840

.9951

.9987

.0003 .0016 .0064

.0003

.0015

.0003

5

3


3/17

Table

I Cumulative

Binomial

Probabilites

continued

0. 0 0.15

0.20

0.25

0.30 0.35

0.40

0.45 0.50

n:

50

1.0000

.9997

.9971

.9858

.9540

.8879

.7806

.6387

.48t2

.3319

.2089

.1

199

.0628

.0301

.0132

.0053

.0019

.0007

.0002

.0001

r

:

0

1.0000

I .9948

2

.9662

3

.8883

4 .7497

5

.5688

6

.3839

'7

.2298

8 .1221

9

.0579

l0

.0245

11 .0094

tz .0032

13 .0010

t4 .0003

15 .0001

l6

l'7

l8

19

20

2l

22

23

24

25

26

2',7

28

29

30

3l

JZ

JJ

34

L0000

1.0000 1.0000

1.0000 1.0000

1.0000

.9998

1.0000 1.0000

.9987

.9999

1.0000

.9943 .9995 1.0000

1.0000 1.0000

1.0000

1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

.9999

1.0000

.9998

1.0000

.9992 .9999

.9975

.9998

.9933 .9992

.9840

.9978

.9658 .9943

.9339 .986',7

.8837 .9720

.8t22 .9460

.7t99 .9045

.61I .8439

.4940 .7631

.3784

.6644

.2736

.5535

.1861

.4390

.1187

.3299

.0710 .2340

.0396

.1562

.0207 .0978

.0100 .0573

.0045 .0314

.0019 .0160

.0007 .0076

.0003 .0034

.0001 .0014

.0005

.0002

.0001

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

l 0000 1.0000

1.0000 1.0000

1.0000

1.0000

L0000 1.0000

1.0000

1.0000

1.0000 1.0000

.9999 1.0000

.9998 1.0000

.9994

1.0000

.9982

.9998

.9955

.9995

.9896 .9987

.9780 .9967

.9573 .9923

.9235 .9836

.8727 .967s

.8026 .9405

.7138 .8987

.6100 .8389

.4981 .7601

.3866' .6641

.2840 .5561

.1966 .4439

.1279 .3359

.0780 .2399

.0444

.1611

.0235 .1013

.0116 .0595

.0053 .032s

.0022 .0164

.0009

.007-l

.0003 .0033

.0001

.0013

.0005

.0002

.9815

.9520

.8966

.8096

.6927

.5563

.4164

.2893

.

86l

.1

06

.(r60'7

.0308

.0t44

.0063

.0025

.9979

.9998

.9930 .9993

.9806 .9975

.9s47

.9927

.9084

.9817

.8363 .9598

.7378

.9211

.6184 .8610

.4890 .7771

.3630 .6721

.2519 .5532

.163l .4308

.0983 .3161

.0551 .2t78

.0287 .t406

.0009

.0139 .0848

.0003

.0063 .0478

.0001

.0026 .0251

.0010 .0123

.0004 .00s6

.0001

.0024

.0009

.0003

.0001

35

36

)I

38

Table

I

gives

binomial

probabilities

only

for a limited

range of values

of

r

and

p

since,

n

practice,

either

the more compact

tabulation

of the

Poissondistribution

(Table

2) or that

of

the

Normal

distribution

(Table

3)

can usually

be used o

give

an

adequate

pproximation.

As a

reasonable

orking rule:

(0

use he

Poisson pproximationlf

p

e

-t*

r

Where

there

is no

entry

for

a particular pair of values of r and ra, this indicates hat the appropriate probability is les

than

0.000

05. Sirnilarly,

except

for

the

case,':

0 when the entry

is

exact,

a tabulated value

of

1.0000 represents

probability

greater

han

0.999

95.

1.0

.9

.8.7

.6

.5

.4

.3

2

. t

.0037

.0006

.0001

r:0

I

2

3

4

5

6

7

r.0000

1.0000

.a9s2

.1813

.0047

.0175

.0002

.001I

.0001

1.0000

1:0000

.3297

.3935

.0616

.0902

.0079

.0144

.0008

..0018

.0001

.0002

r.0000

1.0000

.4512

.5034

.1219

.1558

.023t

.0341

.0034

.0058

.0004 .0008

.0001

1.0000

.2592

.0369

.0036

.0003

1.0000

.5507

.t9t2

.0474

.0091

.0014

.0002

1.0000

.5934

.2275

.0629

.0135

.0023

.0003

1.0000

.632r

.2642

.0803

.0190

2.0

.9

.8.7

.6

.5.4

.3

.2

=

l. l

0054

.0077

.0010

.0015

.0001

.0003

r=0

I

I

z

i

4

5

6

n

8

9

.0000

1.0000

.667

.6988

.3010

.3374

.0996

.1205

.0257 .0338

1.0000

.7275

.3732

.t429

.0431

.0107

.0022

.0004

.0001

1.0000

.8347

.5372

.2694

.1087

.0364

.0104

.0026

.0006

.0001

1.0000

.8504

.5663

.2963

.1253

.0441

0132

.0034

.0008

.0002

t.0000

.8647

.5940

.3233

.1429

.0527

.0166

.0045

.001.1

.0002

1.0000

1.0000

.7534

.7769

.4082

.4422

.1665

.r9t2

.0s37 .0656

.0143

.0r86

.0032

.0045

.0006

.0009

.0001

.

.0002

1.0000

1.0000

.798r .8173

.4751

.s068

.2166

.2428

.0788 .0932

.0237 .0296

.0060

.0080

.0013

.0019

.0003 .0004

.0001

3.0

.9

.8.7

.6.5

.4

.3

.2

.1

r

=

0 1.0000

| .8775

2 .6204

3 .3504

4

.1614

5

.0621

6

.0204

7 .0059

8

.00l-5

9 .0003

1.0000

1.0000

.8892 .8997

.6454

.6691

.3773

.4040

. 806

.2007

.0725

.0838

.0249

.0300

.0075

.0094

.0020

.0026

.0005

.0006

.0001

.0001

1.0000

1.0000

.9328 .9392

.7513 .7689

.5064 .5305

.2859

.3081

1.0000

.9093

.6916

.4303

.2213

.0959

.0357

.01l6

.0033

.0009

.0002

t.0000

.9t79

.7t27

.4562

.2424

.1088

.0420

.0142

.0047

.001I

.0003

.0001

1.0000

.9257

.7326

.4816

.2640

1.0000

.9450

.7854

.5540

.3304

.1682

.0742

.0287

.0099

.0031

.0009

.0002

.0001

1.0000

.9502

.8009

.5768

.3528

.1847

.0839

.0335

.01l9

.0038

.001I

.0003

.0001

.t226 .1371

.1s23

.0490

.0567

.0651

.0172 .0206

.0744

.0053 .0066

.0081

.0015

.0019 .0024

0004 .0005 .0007

.0001 .0001 .0002

l0

.0001

I I

t2


6/17

Table 2

Cumulative

PoissonProbabilities

continued

4. O.9.8

.7.6

.5

.4

.3

.2

.1

r=0

I

2

3

4

1.0000

.9550

.8

153

.5988

.3752

.2018

.0943

.0388

.0t42

.0047

.0014

.0004

.0001

1.0000

.9592

.8288

.620r

.3975

.2194

.1054

.0446

.0168

.0057

1.0000

.9631

.8414

.6406

.4197

.2374

.1171

.0510

.0198

.0069

1.0000

.9666

.8s32

.6603

.4416

.2558

.1295

.0579

.0231

.0083

1.0000

.9698

.8641

.6792

.4634

.2746

.1424

.0653

.0267

.0099

.0033

.0010

.0003

.0001

1.0000

.9727

.8743

.6973

..4848

.2936

.1559

.0733

.0308

.0117

.0040

.0013

.0004

.0001

t.0000

.9753

.8838

.7t46

.5058

.3128

.1699

.0818

.0352

.0137

.0048

.0016

.0005

.0001

1.0000

.9776

.8926

.73t1

.5265

.3322

.1844

.0909

.0401

.0160

.0058

.0019

.0006

.0002

1.0000 1.0000

.9798

.9817

.9008 .9084

.7469 .76L9

.5468 .5665

.3516 .3712

.1994

.2149

.1005

.1107

.0454 .0511

.0185 .0214

.0069 .0081

.0023 .0028

.0007 .0009

.0002

.0003

.0001

.0001

5

6

7

8

9

l0

l l

t2

l3

l4

0018 .0022

.0027

0005

.0006

.0008

0001 .0002

.0002

0001

5.0

.9.8.7.6.5

.4

.3

.2

.1

r=0

I

2

J

4

r.0000

.9834

.915s

.7762

.5858

.3907

.2307

.1214

.05'73

.0245

.0095

.0034

.0011

.0003

.0001

1.0000

.9850

.9220

.7898

.6046

.4t02

.2469

.1325

.0639

.0279

.0 l l l

.0041

.0014

.0004

.0001

1.0000

.9864

.928r

.8026

.6228

.4296

.2633

.1442

.0710

.o3t7

.o129

.0048

.0017

.0005

.0002

1.0000

.9899

.9437

.8374

.6743

.4868

.3142

.1820

.0951

.0451

.0195

.0078

.0029

.0010

.0003

.0001

r.0000

.9909

,9482

.8477

.6903

.5054

.3316

.1954

.1040

.0503

.0222

.0090

.0034

.0012

.0004

.0001

1.0000

.9918

.9523

.8575

.7058

.5237

.3490

.2092

.1133

.0558

.0251

.0104

.0040

.0014

.0005

.0001

1.0000

1.0000

.9877 .9889

.9337

.9389

.8149

.8264

.6406

.6577

.4488

.4679

.2801

.2971

.t564

.1689

.0786

.0866

.0358

.0403

.0t49

.0171

.0057

.0067

.0020

.0024

.0007

.0008

.0002 .0003

.0001 .0001

1.0000 1.0000

.9926 .9933

.9561

.9596

.8667

.8753

.7207

.7350

.5418

.559s

.3665 .3840

.2233

.2378

.t231

.1334

.0618

.0681

.0283

.0318

.0120 .0t37

.0047 .0055

.0017 .0020

.0006 .0007

.0002

.0002

.0001 .0001

)

6

8

9

t0

n

12

l3

l4

l5

l6

7.0

. 8

.6.4.2

.0

.8

.6

.4

.2

r:0

I

2

4

1.0000

.9945

.9658

.8912

.'76t9

.5939

.4191

.2676

.155

.Otr

9

.0397

.0t77

.007:i

.(x)2tt

.( )0o

1.0000

.9955

.9711

.9052

.7867

.6267

.4539

.2983

.1783

.0974

.0488

.0225

.0096

.0038

.0014

.()005

.0002

.0001

1.0000

.9963

.9756

.9176

.8094

.65',79

.4881

.329',7

.2030

.1

143

.059

.0282

.0125

.0051

.0020

.0007

.0002

.0001

1.0000

.9986

.9897

.9600

.8948

.7873

.6453

.4892

.3419

.2204

.1314

.0726

.0373

.0t79

.0080

.0034

.0014

.0005

.0002

.0001

1.0000

1.0000

.9970

.997s

.9794

.9826

.9285

.9380

.8300

.8488

.6873

.7149

.5217

.5543

.3616 .393',7

.2290

.2560

.1328

.1528

.0708

.0839

.0349

.0426

.0160

.0201

.0068

.0088

.0027

.0036

.0010 .0014

.0004

.0005

.0001

.0002

.0001

1.0000 1.0000

.9980 .9983

.9854 .9877

.9464

.9s37

.8658

.881I

.7408 .7649

.5859 .6163

.4258 .45',77

.2840

.3t27

.1741 .1967

.0984 .1142

.0514 .0614

.0250 .0307

.0

13

.0

143

.0048 .0063

.0019

.0026

.0007

.0010

.0003 .0004

.0001 .0001

r.0000

r.0000

.9989

.9991

.9913

.9927

.9656

.9704

.90'72 .9182

.8080

.8270

.6730

.6993

.5201 .5503

.3715

.4013

.2452

.2709

.1498

.1695

.0849

.0985

.0448

.0534

.022r

.0270

.0102

.0128

.0044

.0057

.0018

.0024

.0007 .0010

.0003

.0004

.0001

.0001

5

6

1

ti

9

l0

l l

l2

l3

T4

l5

t6

l7

l8

l9

(x)03

0001


7/17

Table

2

Cumulative

Poisson

Probabilities

continued

9.0

.8

.6

.0

.8

.6

.4

.2

8.2

8.4

m=

r=O

I

2

J

4

1.0000

1.0000

.9993

.9994

.9939

.9949

.974s

.9781

.9281

.9368

.8445 .8605

.7241

.7474

.5796

.6080

.4311

.4607

.2913

.3243

.1904

.2123

.1133

.1293

.0629

.0735

.032'7

.0391

.0159

.0195

.0073

.0092

.0031

.0041

.0013

.0017

.0005 .0007

.0002

.0003

.0001

.0001

1.0000

1.0000

.9996

.9997

.9964

.9910

.9839

.9862

.9515

.9576

.8883

.9004

.789'l

.8088

.6616

.6866

.5188

.5470

.3796

.4075

.2589

.2834

.1648

.1841

.0980

. l119

.0546

.0638

.0286

.0342

.0141

.0173

.0066

.0082

.0029

.0037

.0012 .0016

.0005

.0006

.0002

.0003

.0001

.0001

1.0000

1.0000

.9991

,9998

.9975

.9979

.9882

.9900

.9630

.9677

.9113

.921r

.8264 .8427

.7t04

:1330

.5746

.6013

.4353

.4631

.3085

.334r

.204s

.225'.7

.1269

.1429

.0739

.0850

.0405

.0476

.0209

.0251

.0102

.0125

.004'7

.0059

.0021 .002'7

.0009

.0011

.0003

.0005

.0001

.0002

.0001

.9379

.9450

.8716 .8843

.7744

.7932

.6522

.6761

.5177

.5443

.3863

.4126

.2706

.2940

.

1780

.1970

.1102

.1242

.0642

.0739

.0353

.0415

.0184

.0220

.0091

.0111

.0043 .00s3

.0019

.0024

.0008

.0011

.0003

.0004

.0001

.0002

.0001

1.0000

.999s

.9957

.9812

.9446

.8751

.7693

.6354

.4900

.3518

.2351

.1465

.0852

.0464

.0238

.0114

.0052

.0022

.0009

.0004

.0001

1.0000

.9998

.9982

.9914

.9719

.9299

.8578

.7543

.6272

.4906

.3600

.2478

.1600

.0971

.0555

.0299

.0r52

.0074

.0034

.0015

.0006

.0002

.0001

1.0000

.9998

.9985

.9927

.9756

1.0000

.9999

.9988

.9938

.9788

5

6

7

8

9

l0

l l

t2

l3

l4

15

l6

T7

l8

t9

20

2l

22

23

9.8

.6

.4

.2

10.0

11.0

t2.0

13.0

14.0

15.0

m=

r :0

I

2

3

4

I.0000

1.0000

.9999

.9999

.9990

.9991

.994',1 .9955

.9816

.9840

.9514

.9571

.8959

.9065

.8108

.8273

.6990

1208

.5',704

.5958

.4389

.3180

.2t68

.1393

.0844

.0483

.0262

.0135

.0066

003

.0014

.0006

.0002

.0001

.4651

.3424

.2374

.t552

.0958

.0s59

.0309

.0162

.0081

.0038

.0017

.0008

.Off)3

.0001

1.0000

1.0000

.9999

1.0000

.9994

.999s

.9967 .9972

.9880

.9897

.9667

.9707

.92s0

.9329

.856'l

.8699

.76t2

.7'798

.6442

.6672

.5168

.3920

.2807

.1899

.t214

.0735

.0421

.0230

.01l9

.0059

.0028

.0012

.0005

.0002

.0001

.542r

.4170

.3032

.2084

.1355

.0835

.0487

.0270

.0143

.0072

.0035

.0016

.0007

.0003

.0001

1.0000

1.0000

r.0000

1.0000

.9998

.9999

.9988 .9995

.9951

.9977

.9849

.9924

.9625

.919'.7

.9214

.9542

.8568

.9105

.7680

.8450

.659s

.s401

.4207

.31l3

.2187

.1460

.0926

.0559

.o322

.0177

.0093

.0047

.0023

.0010

.0005

.0002

.0001

.7576

.6528

.5384

.4240

.3185

.2280

.1556

. 0l3

.0630

.0374

.0213

.0116

.0061

.0030

.0015

.0007

.0003

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999 1.0000

.999s

.9998

.9982

.9991

.9945

.9972

.9858

.9924

.9684

.9820

.9379

.9626

.8906

.9301

.8243

.8815

.7400

.8152

.64rs

.7324

.5356

.6368

.4296 .5343

.3306

.4319

.2441

.3359

.1728

.2511

. t174

.1805

.0765

.1248

.0479

.0830

.0288

.0531

.0167

.0327

.0093

.0195

.0050

.0122

.0026

.0062

.0013

.0033

.0006 .0017

.0003

.0009

.0001

.0004

.0001

.0002

0001

1.0000

.9999

.9993

.9962

.9862

.9622

.9162

.8426

.7416

.6204

.491I

.3671

.2588

.172r

.1081

.0643

.0362

.0194

.0098

.0048

.0022

.0010

.0004

.0002

.0001

1.0000

1.0000

1.0000

,9998

.9990

.9963

.9893

.9141

.9460

.9002

.8342

.7483

.6468

.5369

.4270

.3249

.2364

.t645

.1095

.0698

.o427

.0250

.0141

.0076

.0040

.0020

.0010

.0005

.0002

.0001

)

6

7

8

9

l0

l1

t2

l3

14

t5

l6

t'l

l8

l9

2( l

2 l

22

23

24

25

26

27

28

29

30

3l

'L


8/17

Tglble

2

Cumulative

Poisson

Probabilities

-

continued

m:

16.0

17.0

18.0

19.0

20.0

2r.0

22.0

23.0

24.0

25.O

r :0

I

2

a

)

4

5

6

7

8

9

10

11

l2

l3

l4

l5

16

l7

18

19

20

2l

22

23

24

25

26

27

z8

29

30

31

JZ

33

34

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

1.0000

1.0000

.9996

.9998

.9999

.9986

.9993

.9997

.9960

.9979

.9990

.9900

.9946

.997r

.9780

.9874

.9929

.9s67

.9739

.9846

.9226

.9509

.9696

.8730

.9153

.9451

.8069

.8650

.9083

.7255

.7991

.8574

.6325 .7192 .7919

.5333

.628s

.7133

.4340

.5323

.6249

.3407

.4360

.5314

.2577

.3450

.4378

.1878

.2637

.3491

1318

.1945

.2693

0892

.1385

.2009

.0582

.0953

.1449

.0367

.0633

.1011

.0223

.0131

.0075

.0041

.0022

.0011

.0006

.0003

.0001

.0001

.0406

.0252

.0152

.0088

.0050

.0027

.0014

.0007

.0683

.0446

.0282

.0173

.0103

.0059

.0033

.0018

.0010

.0005

.0002

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9998

.9999

.9995

.9997

.9985

.9992

.996r

.9979

.9911

.9950

.9817

.9892

.9653

.9786

.9394

.9610

.9016

.9339

.8503 .8951

.7852

.8435

.7080

.7789

.6216

.7030

.5305

.6186

.4394

.5297

.3528

.4409

.2745

.3563

.2069

.2194

.1510

.2125

.1067

.0731

.0486

.0313

.0195

.0118

.0070

.0040

.0022

.0012

.0006

.0003

.0002

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9999

1.0000

.9996

.9998

.9999

.9989

.9994

.9997

.9972

.9985

.9992

.9937

.9965

.9980

.9871

.9924

.9956

.9755

.9849

.9909

.9566

.9722

.9826

.9284 .9523 .9689

.8889

.9231

.9480

.8371

.8830

.9179

.7730

.8310

.8772

.6983

.7675

.8252

.6t57

.6940

.7623

.5290

.6131

.6899

.4423

.5284

.6106

.3595

.4436

.s277

.2840

.3626

.4449

.2r78

.1623

.1174

.0825

.0564

.0374

.0242

.0152

.0093

.0055

.0032

.0018

.0010

.0005

.0003

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9998

.9999

.9996

.9998

.9989

.9994

.9975

.9986

.9946

.9969

.9893

.9935

.9802 .9876

.9656

.9777

.9437

.9623

.9129

.9395

.8717

.9080

.8197

.8664

.7574

.8145

.6861

.7527

.5083

.6825

.5272

.6061

.4460

.5266

.3681 .4471

.2962

.3706

.2323

.2998

.1775

.2366

.t321

.1821

.0958

.1367

.0678

.1001

.0467

.0715

.0314

.0498

.0206

.0338

.0132

.0225

.0082

.0146

.0050

.0092

.0030

.0057

.0017

.0034

.0010

.0020

.0005

.0012

.0003

.0007

.0002

.0004

.0001

.0002

.0001

35

36

37

38

39

.0001

.1568

. r t22

.0779

.0525

.0343

.0218

.0135

.0081

.0047

.0027

.0015

.0008

.0004

.0002

.0001

.0001

.2883

.2229

.1676

.1225

.0871

.0602

.0405

.0265

.0169

.0105

.0064

.0038

.0022

.0012

.0007

.0004

.0002

.0001

.3654

.2923

.2277

.t726

.1274

.0915

.0640

.0436

.0289

.0187

.0118

.0073

.0044

.0026

.0015

.0008

.0004

.0002

.0001

.0001

40

41

42

43

44

45

46


9/17

Table

2 Cumulative

PoissonProbabilities continued

9.0

.8.6.4

.2.0.8

.6

.4

.2

=

r :0

I

2

J

4

20

2l

22

23

)

6

7

8

9

l0

l l

t2

l3

l4

l5

16

T7

t8

l9

1.0000

.9993

.9939

.9145

.9281

.8445

.724r

.5796

.431I

.2973

.1904

.1133

.0629

.0327

.0159

.0073

.0031

.0013

.0005

.0002

.0001

1.0000

.9994

.9949

.9781

.9368

.8605

.7474

.6080

.4607

.3243

.2123

.1293

.0735

.0391

.0195

.0092

.0041

.0017

.0007

.0003

.000r

1.0000

.9995

.9957

.98t2

.9446

.8751

.7693

.6354

.4900

.3518

.2351

.1465

.0852

.0464

.0238

.0114

.o052

.0022

.0009

.0004

.0001

1.0000

.9996

.9964

.9839

.9515

.8883

.7897

.66t6

.5188

.3796

.2589

.1648

.0980

.0546

.0286

.0141

.0066

.0029

.0012

.000s

.0002

.0001

1.0000

.9997

.9970

.9862

.9576

,9004

.8088

.6866

.5470

.4075

.2834

.1841

.1119

.0638

.0342

.ot't3

.0082

.0037

.0016

.0006

.0003

.0001

1.0000

.9991

.9975

.9882

.9630

.91l3

.8264

.7t04

.5746

.4353

.3085

.2045

.1269

.0739

.0405

.0209

.0102

.0047

.0021

.0009

.0003

.0001

1.0000

.9998

.9979

.9900

.9677

.921r

.8427

.7330

.6013

.4631

.3341

.2257

.1429

.0850

.0476

.0251

.0125

.0059

.0027

.0011

.0005

.0002

.0001

1.0000

.9998

.9982

.9914

.9719

.9299

.8578

.7543

.6272

.4906

.3600

.2478

.1600

.097r

.0555

.0299

.0r52

.0074

.0034

.0015

.0006

.0002

.0001

r.0000

r.0000

.9998 .9999

.9985

.9988

.9927 .9938

.97s6

.9788

.9379 .9450

.8716 .8843

.7744 .7932

.6s22 .6761

.5177 .s443

.3863 .4t26

.2706 .2940

.1780 .19'70

.1102 .1242

.0642

.0739

.0353 .0415

.0184

.0220

.0091

.0111

.0043 .0053

.0019

.0024

.0008 .0011

.0003 .0004

.0001 .0002

.0001

m=

9.6

.4

.2

9.8 10.0 11.0 12.0 13.0 14.0 15.0

r=(l

I

2

3

4

1.0000

1.0000

.9999

.9999

.9990

.9991

.9947 .995s

.9816

,9840

.9514

.9571

.8959

.9065

.8108

.8273

.6990

.7208

.s704

.5958

.4389

.46sr

.3180

.3424

.2168

.2374

.1393

.1552

.0844

.0958

.0483 .0559

.0262

.0309

.0135

.0162

.0066

.0081

.0031

.0038

.0014

.0017

.([0(r

.0008

.fix)2

.0003

.(x)01

.0001

1.0000

.9999

.9993

.9962

.9862

.9622

.9t62

.8426

.7416

.6204

.491I

.3671

.2588

.1721

.

08l

.0643

.0362

.0194

.0098

.0048

.0022

.0010

.0004

.0002

.0001

1.0000

.9999

.9994

.9967

.9880

.9667

.9250

.856?

.7612

.6442

.5168

.3920

.2807

.1899

.1214

.073s

.0421

.0230

.0119

.0059

.0028

.0012

.0005

.0002

.0001

1.0000

1.0000

.9995

.9g',t2

.9897

.9701

.9329

.8699

.7798

.6672

.s421

.4t'10

.3032

.2084

.1355

.0835

.0487

.02'70

.0143

.0072

.0035

.0016

.0007

.0003

.0001

1.0000

r.0000

.9998

.9988

.9951

.9849

.962s

.9214

.8568

.7680

.6595

.5401

.4207

.3113

.2187

.1460

.0926

.0559

.o322

.0t77

.0093

.o047

.0023

.0010

.0005

.0002

.0001

1.0000

1.0000

.9999

.9995

.9977

.9924

.9797

.9542

.9105

.8450

.7576

.6528

.5384

.4240

.3185

.2280

.1556

.1013

.0630

.0374

.02t3

.01l6

.0061

.0030

.0015

.0007

.0003

.0001

.0001

1.0000

1.0000

1.0000

.9998

.9990

.9963

.9893

.9741

.9460

.9002

.8342

.7483

.6468

.5369

.4270

.3249

.2364

.1645

.1095

.0698

.0427

.0250

.0141

.0076

.0040

.0020

.0010

.0005

.0002

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999 1.0000

.999s

.9998

.9982

.9991

.994s .9972

.9858

.9924

.9684 .9820

.9379

.9626

.8906 .9301

.8243

.881s

.7400

.8152

.6415

.7324

.5356

.6368

.4296 .5343

.3306

.4319

.2441

.3359

.1728 .2s

1

.t174 .1805

.0765

.1248

.0479

.0830

.0288

.0531

.0167

.0327

.0093

.0195

.0050

.0122

.0026 .0062

.0013 .0033

.0006 .0017

.0003 .0009

.0001

.0004

.0001 .0002

0001

)

6

7

8

9

l0

l l

t2

l3

l4

l5

l6

t7

l8

l9

20

2l

22

23

24

25

26

27

28

29

30

3l

tz


10/17

2 Cumulative


continued

m= 16.0 17.0 18.0

19.0 20.0

24.0 25.0

1.0

22.0

23.0

r=0

I

2

4

5

6

7

8

9

l0

l l

t2

l3

I4

l5

l6

T7

l8

19

20

2l

22

23

74

25

26

27

28

29

30

3l

JZ

55

34

1.0000

1.0000

1.0000

1.0000

1.0000 1.0000

1.0000

l.0000

.9999 1.0000

.9996

.9998

.9986

.9993

.9960

.9979

.9900 .9946

.9780

.9874

.9567

.9739

.9226 .9509

.8730 .9153

.8069

.8650

.7255 .7991

.6325 :7192

.5333 .6285

.4340 .5323

.3407

.4360

.2577

.3450

.1878

.2637

.1318

.1945

.0892

.1385

.0582 .0953

.0367 .0633

.0223 .0406

.0131 .0252

.0075 .0152

.0041 .0088

.0022

.0050

.0011 .0027

.0006 .0014

.0003 .0007

.0001 .0004

.0001 .0002

.0001

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

1.0000 1.0000

.9998

.9999

.999s .9997

.9985 .9992

.9961 .9979

.9911 .9950

.9817 .9892

.9653 .9786

.9394 .9610

.9016 .9339

.8503 .8951

.7852 .8435

.7080

.7789

.6216 .7030

.5305

.6186

.4394

.5297

.3528

.4409

.2745 .3563

.2069 .2794

.1510 .2125

.t067 .1568

.073t .t122

.0486 .0779

.0313 .0525

.0195 .0343

.0118

.0218

.0070

.0135

.0040 .0081

.0022

.0047

.0012 .0027

.0006 .0015

.0003 .0008

.0002 .0004

.0001

.0002

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000 1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9999

.9996

.9998

.9989

.9994

.9972

.9985

.9937 .9965

.9871

.9924

.9755 .9849

.9566 .9722

.9284

.9523

.8889

.9231

.8371

.8830

.7730 .8310

.6983

.7675

.6157 .6940

.5290

.6131

.4423 .5284

.3595

.4436

.2840 .3626

.2171

.2883

.1623

.2229

.t t74

.1676

.0825

.1225

.0564

.0871

.0374

.0602

.0242 .0405

.0152 .0265

.0093

.0169

.0055 .0105

.0032 .0064

.0018

.0038

.0010

.0022

.0005

.0012

.0003

.0007

.0001

.0004

.0001

.0002

.0001

1.0000 1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000 1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9998

.9999

.9996 .9998

.9989

.9994

.9975

.9986

.9946

.9969

.9893 .9935

.9802

.9876

.9656

.9777

.9437 .9623

.9129

.9395

.87t7

.9080

.8t97 .8664

.7574

.8145

.6861

.7527

.6083 .6825

.52'.t2 .6061

.4460 .5266

.3681 .4471

.2962 .3706

.2323 .2998

.1775 .2366

.1321 .1821

.0958 .1367

.0678

.1001

.0467 .0715

.0314 .0498

.0206 .0338

.0t32 .0225

.0082 .0146

.0050 .0092

.0030 .0057

.0017 .0034

.0010

.0020

.0005 .0012

.0003 .0007

.0002 .0004

.0001 .0002

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9997

.9990

.9971

.9929

.9846

.9696

.9451

.9083

.8574

.79t9

.7t33

.6249

.53t4

.4378

.3491

.2693

.2009

.1449

.101

.0683

.0446

.0282

.0173

.0103

.0059

.0033

.0018

.0010

.0005

.0002

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9997

.9992

.9980

.9956

.9909

.9826

.9689

.9480

.9179

.8772

.8252

.7623

.6899

.6106

.s277

.4449

.3654

.2923

.2277

.1726

.1274

.0915

.0640

.0436

.0289

.0187

.0118

.0073

.0044

.0026

.0015

.0008

.0004

.0002

.0001

.0001

35

36

37

38

39

40

4l

42

43

44

45

46


11/17

Table

2 Cumulative


continued

26.0 27.0

28.0

29.0 30.0

32.0

34.0 36.0

38.0 40.0

r

-

9 1.0000

l0 .9999

l l .9997

12 .9992

13 .9982

t4 .9962

15 .9924

t6 .9858

t7

.9752

l8

.9580

19 .9354

.9032

.8613

.8095

.7483

.6791

.6041

.5261

.4481

.3730

:3033

.2407

.1866

.1411

.t042

.0751

.0528

.0363

.o244

.0160

.0103

.0064

.0039

.oo24

.0014

.0008

.0004

.0002

.0001

.0001

20

2I

22

23

24

25

26

27

28

29

1.0000

.9999

.9998

.9996

.9990

.99',18

.9954

.9912

.9840

.9726

.9s55

.9313

.8985

.8564

.8048

.7441

.6758

.6021

.5256

.4491

.3753

.3065

.2447

.1908

.1454

.1082

.0787

.0559

.0388

.0263

.0175

.0113

.0072

.0045

.0027

.0016

.0009

.0005

.0003

.0002

.0001

1.0000

1.0000

.9999

.9998

.9994

.9987

.9973

.9946

.9899

.9821

.9700

.

.9522

.9273

.8940

.8517

.8002

.7401

.6728

.6003

.5251

.4500

.3774

.3097

.2485

.1949

. 49s

.tt2l

.0822

.0s89

.0413

.0283

.0190

.0125

.0080

.0050

.0031

.0019.

.001I

.0006

.0004

.0002

.0001

.0001

1.0000

1.0000

1.0000

.9999

.9997

.9993

.9984

.9967

.9937

.9885

.9801

.9674

.9489

.9233

.8896

.8471

.7958

.7363

.6699

.5986

.5247

.4508

.3794

.3126

.2521

.1989

.1535

.1

59

.0856

.0619

.0438

.0303

.0205

.0136

.0089

.0056

.0035

.0022

.0013

.0008

.0004

.0002

.0001

.0001

1.0000

1.0000

1.0000

.9999

.9998

.9996

.9991

.9981

.996r

.9927

.9871

.9781

.9647

.9456

.9t94

.8854

.8428

.'t916

.7327

.66',71

.s969

.5243

.4s16

.3814

.3155

.2556

.2027

.1574

.1

96

.0890

.0648

.0463

.0323

.0221

.0148

.0097

.0063

..0040

.0025

.0015

.0009

.0005

.0003

.0002

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9997

.9993

.9986

.9972

.9948

.994',1

.9841

.9740

.9594

.9390

.9119

.8772

.8344

.7838

.7259

.6620'

.s939

.5235

.4532

.3850

.3208

.2621

.2099

.1648

.1268

.0956

.0707

.0512

.0364

.0253

.0173

.0116

.o076

.0049

.0031

.0019

.0012

.0007

.0004

.0002

.0001

.0001

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

.9998

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

.9999

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000

1.0000 1.0000

.9999 1.0000

.9998 .9999

.9995 .9998

.9990

.9997

.9980

.9993

.9963

.9986

.9932

.9973

.9884

.9951

.9809 .99rs

.9698 .9859

.9540 .9776

.9326 .9655

.9047

.9487

.8694 .9264

.8267 .8977

.7765

.8621

.7196 .8194

.6573 .769'7

.591l, .7t39

.5228

.6530

.4546

.s885

.3883 .5222

.32s6

.4558

.2681 .3913

.2166

.3301

.1717

.2737

.t336 .2229

.1019 .1783

.0763

.1401

.0561 .1081

.0404 .0819

.0286

.0609

.0199 .0445

.0136 .0320

.0091

.o22s

.0060

.0156

.0039 .0106

.0024

.0071

.0015 .0047

.0009 .0030

.0006 .0019

.0003

.0012

.0002

.0007

.0001

.0005

.0001

.0003

.0002

.0001

.0001

.999s

.9998

.9990

.9996

.9981 .9993

.9965

.9986

.9938 .99'14

,s897

.ssss

.9834,i,. .9924

.e74r{1$. .e877

.961l'rHi. 9807

.9435 8.9706

.9204

.9568

.8911

.9383

.8552 .9145

.8125 .88ry7

.'7635

.8486

.7086

.8061

.6490 3576

.5862 .7037

.5216 .6453

.4570

.5840

.3941 .5210

.3343 .4581

.2789 .3967

.2288 .3382

.184s .2838

.t462 .2343

.1139

.1903

.08'72 .1521

.0657 .1196

.0486 .0925

.0353 .0703

.0253 .0526

.0178 .0387

.0123

.0281

.0084

.0200

.0056

.0140

.0037

.0097

.0024

.0066

.0015 .0044

.0010

.0029

.0006

.0019

.0004 .0012

.0002 .0008

.0001 .0005

.0001 .0003

,0002

.0001

.0001

40

4l

42

43

44

45

46

47

48

49

50

51

52

53

54

))

56

)l

58

59

60

6l

62

63

64

65

66

67

30

3l

32

JJ

34

35

36

5t

38

39

For values of

m

greater

han 30,

use

he table of

areas nder he Normal

curve

Table

3)

to obtain

approximate oisson

probabilit ies.

utting

=

m

and

o=Ji

t2 '

'


12/17

Table

3

Areas

n

upper

TaiI

of the

Normal

Distribution

The

function

tabulated s |

-

aQ)

where


13/17

Table

7 PercentagePoints of the

t

Distribution

The table

gives

the

value of lo

,

- the

I 00

a

percentagepoint

of the r

distribution

for

v

degreesof freedom.

The valuesof

r

are obtainedby

solutionof

the equation:

a

:

fl%(v+ I\)lr(%v)l-'

(r,l-"

Note:Thetabuftrtion s for one ail only,that is, for positivevaluesof I

For

lr

I

the

columnheadings or

cr,

hould

be doubled.

t

a, ,

fit.

,2 1

y-Q+Dtz

o

0. 0

0.05 0.025

0.005

0.001

0.0005

v: l

2

a

)

4

5

3.078

1.886

1.63

1.533

t.476

1.440

1.415

1.397

1.383

1.372

t.363

1.356

1.350

1.345

1.341

t.337

I .JJJ

1.330

1.328

t.325

t.323

1.321

1.319

1.318

1.36

r.315

1.314

1.3 3

l .3 l

I

1.310

1.303

t.296

1.289

t.282

6.314

2.920

2.353

2.t32

2.015,

1.943

1.895

1.860

1.833

1.812

r.796

1.782

t.771

1.761

1.753

1.746

1.740

1.734

1.729

t.725

t.721

1.7r7

1.7r4

1.711

1.708

1.706

1.703

1.701

1.699

1.697

1.684

r.671

1.658

1.645

t2.706

4.303

3.r82

2.776

2.571

2.447

2.365

2.306

2.262

2.228

2.201

2.r79

2.160

2.145

2.131

2.120

z. I IO

2.IOT

2.093

2.086

2.080

2,074

2.069

2.064

2.060

2.056

2.052

2.048

2.045

2.042

2.021

2.000

1.980

.1.960

31.821

6.965

4.541

3.747

3.365

3.r43

2.998

2.896

2.82r

2.764

2.718

2.68r

2.650

2.624

2.602

2.583

2 567

2.552

2.539

2.528

2.s18

2.508

2.500

2.492

2.48s

2.479

2.473

2.467

2.462

2.457

2.423

2.390

2.358

2.326

63.657

9.925

5.841

4.604

4.032

3.707

3.499

3.355

3.250

3.169

3.106

3.055

3.012

2.977

2.947

2.921

2.898

2.878

2.86r

2.845

2.83r

2.819

2.807

2.797

2.787

2.779

2.771

2.763

2.756

2.750

'

2.704

2.660

2.617

2.576

318.31

22.326

t0.2r3

7.t73

5.893

5.208

4.785

4.501

4.297

4.r44

4.025

3

930

3.852

3.787

3.733

3.686

3.646

3.610

3.579

3.552

3.527

3.505

3.485

3.467

3.450

3.435

3.421

3.408

3.396

3.385

3.307

3.232

3.160

3.090

636.62

3

1.598

12.924

8.610

6.869

5.959

5.408

5.041

4.781

4.587

4.437

4.318

4.221

4.140

4.073

4.015

3.965

3.922

3.883

3.850

3.819

3.792

3.767

3.745

3.725

3.707

3.690

3.674

3.659

3.646

3.551

3.460

3.373

3.291

6

7

8

9

l0

l l

t2

l3

t4

l5

t6

17

l8

l9

20

2l

22

23

24

25

26

27

28

29

30

40

60

r20

O

This

table s taken rom Table III of

Fisher

& Yates: Statistical

Tabtes

or

Biological, Agicultural

and Medical

Research,

reprinted

by

permission

of

Addison W.esleyLongman Ltd. Also from Table 12 of

Biometika

Tables

or

Statisticians,

Volume

I

,

by

permission.of

Oxford University Pressand the

Biometrika Trustees.

t7


14/17

Table

8

Percentage

oints

of

the

Distribution

Table

of

f

o,

- the

l00a

percentage

oint

of

the

f

distribution

or v

degrees

f

freedom.

.50

7075

8090

95

975

98

99

995

v=I

2

4

)

6

8

9

10

.0039:

.0100

.0717

.207

.412

.676

.989

1.344

1.735

2.156

2.603

3.074

3.56s

4.075

4.601

5.r42

5.691

6.26s

6.844

7.434

8.034

8.643

9.260

9.886

10.520

I 1.

60

11.808

12.46r

t3.tzL

t3.787

20.706

27.991

35.535

43.275

51.171

59.196

6'1.32',1

.o3ts7

.0201

.115

.297

.554

.872

t.239

1.646

2.088

2.558

3.053

3.s71

4.107

4.660

5.229

5.812

6.408

7.0t5

7.633

8.260

8.897

9.542

10.196

10.856

r1.524

12.198

12.879

13.565

14.256

t4.953

22.164

29:707

37.485

45.442

53.539

6t.754

70.065

.00393

.103

.352

.7t l

1.145

1.635

2.167

2.733

3.325

3.940

4.57s

5.226

5.892

6.571

't.261

7.962

8.612

9.390

10.117

10.851

11.591

12.338

13.091

13.848

14.611

15.379

16.5

1

16.928

17.708

18.493

26.509

34.764

43.188

5t.739

60.391

69.t26

77.929

7.584

8.438

9.299

10.16s

11.036

.o'628

.a39t2

.0404

.0506

.185

.216

.429

.484

.752

.831

1.134

1.237

t.564

1.690

2.032

?.180

2.532

2.700

3.059 3.247

3.609

3.816

4.178

4.404

4.76s

5.009

5.368

5.629

5.985

6.262

6.614

6.908

7.255

1.564

7 906

8.231

8.567

8.907

9.237

9.591

9.915 10.283

10.600

10.982

1t.293

11.688

tt.992

12.401

12.697

13.120

13.409

14.tzs

14.847

15.574

16.306

23.838

31.664

39.699

47.893

56.2t3

64.634

73.142

13.844

14.573

15.308

16.047

t6.791

24.433

32.357

40.482

48.758

57.1s3

65.646

74.222

.01s8

.0642

.2tr

.446

.584

1.005

1.064

1.649

1.610

2.343

2.204

3.070

2.833

3.822

3.490

4.594

4.168

5.380

4.865 6.119

5.578

6.989

6.304

7.807

7.042 8.634

'7.790

9.46',7

8.547 10.307

9.3t2 11.152

10.085

l2.oo2

10.865

12.857

11.651

13.716

t2.443

14.578

13.240 1s.445

14.041

16.314

14.848

r7.r87

1s.659

18.062

16.473

18.940

I7.292

19.820

18.114

20.703

18.939

21.588

19.768 22.475

20.599 23.364

29.0st

32.345

37.689 41.449

46.459

s0.641

s5329 59.898

64.278

69.207

'73.29t

?8.558

82.358

87.94s

.r02 .148

.455

.575 .7t3

1.386

1.2t3

t.424

2.366

1.923 2.195

3.3s7

2.67s

3.000

4.3sr

3.45s

3.828

5.348

4.255

4.671

6.346

5.071

5.s27

7.344

5.899

6.393

8.343

6.731 7.267 9.342

8.148

10.341

9.034

11.340

9.926

12.340

10.821

13.339

tr.72r

14.339

11

t2

13

l4

l5

l6

T7

18

l9

20

2l

22

23

24

25

26

27

28

29

30

40

50

60

70

80

90

100

tl.9r2

12.624

15.338

12.792 13.531

16.338

r3.67s t4.440

17.338

t4.562

15.3s2

18.338

ts.452

t6.266

19.337

16.344

r7.240

18.137

19.037

19.939

33.660

42.942

52.294

61.698

'n.145

20.843 2t.792

25.336

2r.749

22.719

26.336

22.657

23.647

27336

23.s67 24.577

28.336

24.418

25.508

29.336

t'l.t82 20.337

18.101

21.337

r9.o2l

22.337

t9.943

23.337

20.86',7

24.33',1

34.872

39.335

44.3t3 49.33s

s3.809

59.335

63.346

69.334

72.915

79.334

82.511

89.334

92.129 99.334

80.62s

90.133

For values

of v

>

30, approximate

values

of

f

may

be obtained

rom

the

expression

v

r

-.:,3

l t -2-tL- lL l

*n","

L'ev-o1/r"_l

o

is the

normal

deviate

cutting

offthe

corresponding

ails

of a

normal

distribution.

f

It

taken at the

0.02 level, so that

0.01 of

the

o

normal

distribution

is

in each ail,

the expression

i

elds

at

the

0.99 and

0.01

points.

For

very

large values

of

v, it is sufficiently

accurate

o

compute

Jr/,

the

distribution of which is approximately

normal

around

a

meanof

, Zv

-t

andwith a

standard

eviation

of

l.

Table

taken

from

Table

IV

of Fisher and Yates:

Statistica

Tabtes

for

Biological,

Agricultural

and

Medical

Research, rqinteA by

permission of Addison

Weslcl'

Lnngrnan

Ltct,

and

from

Table

8 of Biometrika

Tables

for

Statisticians,Vol.

l, by

permission of Oford Uuivenity Press

and the Biometrika Trustees.


15/17

Table

8 PercentagePoints

of the

Distribution

-

continued

.001

=a

005

01

10

2025

30

.025

.02

1.074

2.408

3.665

4.878

6.064

7.23r

8.383

9.s24

10.656

n.781

t.323

2.773

4.108

5.385

6.626

7.841

9.037

r0.2t9

l1.389

t2.549

12.899

13.701

14.01I 14.845

15.119

15.984

16.222

t7.tt"l

17.322

t8.24s

18.418 19.369

19.511

20.489

20.601

21.60s

2t.689

22.718

22.',17s 23.828

?3.858

24.935

24.939 26.039

26.018

27.141

27.096

28.241

28.172

29.339

29.246 30.434

30.319

31.528

31.391

32.620

32.461 33.7t1

33.530

34.800

44.165

4s.6t6

s4323

s6.334

6s.227 66.981

7s.689 77.577

86.120 88.130

96.524

98.650

106.906

109.141

3.841

5.024

5.991

7.378

7.815

9.348

9.488

11.143

11.070

12.832

r2.s92

t4.449

t4.067

16.013

15.507

t7.535

16.9t9

t9.023

18.307

20.483

5.412

7.824

9.837

11.668

13.3

8

15.033

16.622

18.168

19.679

2t.16l

22.618

24.O54

25.472

26.873

28.259

6.635

9.2t0

I1.345

13.277

15.086

16.812

18.475

20.090

2r.666

23.209

24.725

26.2r7

27.688

29.141

30.578

29.633

32.000

30.995

33.409

32.346

34.805

33.687

36.191

35.020

37.566

36.343

38.932

37.659

40.289

38.968 41.638

40.270

42.980

41.566

44.314

42.856

45.642

44.140

46.963

45.419

48.278

46.693

49.588

47.962

50.892

60.436

63.691

72.613

76.154

84.580

88.379

96.388

100.425

108.069 t12.329

I19.648

t24.tt6

t3t.t42

135.807

t.642

3.219

4.642

5.989

7.289

8.558

9.803

11.030

12.242

13.442

14.631

1s.812

16.985

18.151

19.311

20.465

2I.6ts

22.760

23.900

25.038

26.171

27.301

28.429

29.553

30.675

31.79s

32.9r2

34.027

3s.139

36.250

47.269

58.164

68.972

79.715

90.405

101.054

rtl.667

2.706

4.605

6.251

7.779

9.236

10.645

12.017

13.362

t4.684

15.987

t7.275

18.549

19.812

2r.064

22.307

23.542

24.769

25.989

27.204

28.412

29.615

30.813

32.OO7

33.t96

34.382

35.563

36.741

37.916

39.087

40.256

s1.805

63.t67

74.397

85.527

96.s78

107.56s

I18.498

19.675

2t.026

22.362

23.685

24.996

26.296

27.587

28.869

30.144

31.410

32.671

33.924

35.172

36.4.15

37.652

38.885

40.1

3

41.337

42.557

43.713

ss.759

67.s05

79.O82

90.531

101.880

113.145

t24.342

21.920

23.337

24.736

26.t19

27.488

28.845

30.191

31.526

32.852

34.170

35.479

36.781

38.076

39.364

40.646

4t.923

43.r94

44.461

45.722

46.979

s9.342

71.420

83.298

95.023

t06.629

I 18.136

r29.s6l

7.879

t0.597

r2.838

14.860

t6.750

18.548

20.278

2r.9ss

23.589

25.188

26.757

28.300

29.819

31.319

32.801

34.267

35.718

37.156

38.582

39.997

41.401

42.796

44.181

45.558

46.928

48.290

49.645

50.993

52.336

53.672

66.766

79.490

9r.952

104.215

tt6.32l

128.299

140.170

t0.827

13.815

16.268

18.465

20.5t7

22.457

24.322

26.125

27.877

29.588

3t.264

32.909

34.528

36.t23

37.697

39.252

40.790

42.3t2

43.820

145.3

5

46.797

48.268

49.728

51.179

52.620

54.052

ss.476

56.893

58.302

59.703

73.402

86.661

99.607

rtz.3t7

t24.839

137.208

149.449.

I

2

J

f

6

7

,8

9

10

l l

t2

13

t4

l5

16

I7

l8

19

20

2l

22

23

24

25

26

27

28

29

30

40

50

60

70

80

90

100

t9


16/17

Table

9

Percentage

Points

of the

F

Distribution

The table

gives

the

values of

Forur,r,

the

l00a

percentage

point

of the F distribution having

4

degrees of freedom

in the

numerator

arrd

vzdegrees

f

freedom

n the denominator.

For each

pair

of

values of

4

and vz,

Fa;vt,vzis

abulated

or

a

=

0.05,

0.025,0.01, 0.001, he

0.025-values

eingbracketed.

The lower

percentage

oints

of

the distribution

may be obtained

from the relation:

| ,-

Fl-o;ur,r,

='

|

tso;vz,ut

Example:

.ss,rz,a

'lF.os,r,r, '

I

z.ss

-q35.L

Fo;rr,r,

161.4

199.5t

215.7

(648),

(800) (8tr)

40s2

5000

5403

4053*

5000* 5405*

18.5

19.0 19.2

(38.5)

(3e.0) (3e.2)

98.5 99.0

99.2

998.5 999.0 999.2

10. 3

9.55

9.28

(17.4)

(16.0)

(15.4)

34.1

30.8

29.5

167.0

148.5

141.7

224.6

230.2

(e00)

(e22)

5625

5764

5625*

5764*

19.2 19.3

(3e.2) (3e.3)

99.2

99.3

999.2 999.3

9.12 9.01

( ls. l ) (14.e)

28.7

28.2

137.1

134.6

6.39

6.26

(e.60)

(e.36)

16.0 15.5

53.44 51.71

5.19

5.05

(7.3e)

(7.15)

11.39

10.97

31.09 29.75

4.53 4.39

(6.23) (5.ee)

9.15

8.7s

21.92

20.80

4.t2 3.9'7

(s.s2) (s.ze)

7.85

7.46

17.20 16.21

3.84 3.69

(s.05) (4.82)

7.01

6.63

t4.39 13.48

3.63

3.48

(4.72) (4.48)

6.42 6.06

12.56 tt.1l

3.48

3.33

(4.47)

(4.24)

5.99

5.64

11 28 10-48

3.36

3.20

(4.28) (4.04)

5.67 5.32

10.35

9.58

3.26 3.11

(4.12) (3.8e)

5.41 5.06

9.63 8.89

234.0

236.8

(e37) (e48)

5859 s928

5859*

5929*

19.3 19.4

(3e.3) (3e.4)

99.3 99.4

999.3 999.4

8.94

8.89

(r4.7) (14.6)

27.9 27.7

t32.8 131.5

6.16

6.09

(e.20)

(e.07)

15.2

15.0

50.53

49.66

4.95

4.88

(6.e8) (6.85)

10.67 10.46

2&83 28.16

4.28

4.21

(s.82)

(s.70)

8.47

8.26

20.03 19.46

3.87

3.79

(5.12) (4.ee)

7.19 6.99

15.52

15.02

3.58

3.50

(4.6s)

(4.s3)

6.37 6.18

12.86 t2.40

3.37

3.29

(4.32) (4.20)

5.80 s.61

I I .13

10.69

3.22 3.14

(4.07) (3.e5)

5.39

5.20

9.93 9.52

3.09 3.01

(3.88) (3.76)

5.07 4.89

9.05 8.66

3.00 2.91

(3.73)

(3.61)

4.82 4.64

8.38 8.00

238.9 241.9

(e57) (e6e)

5981 6056

5981f 6056*

t9.4

19.4

(3e.4)

(3e.4)

99.4 99.4

999.4 999.4

8.85 8.79

(14.5) ( r4.4)

27.5

27.2

130.6 129.2,

6.04 5.96

(8.e8) (8.84)

14.8 l4.s

49.00 48.05

4.82 4.74

(6.76) (6.62)

t0.29

10.05

27.65 26.92

4.15 4.06

(s.60)

(5.46)

8.10

7.87

19.03 18.41

3.73 3.64

(4.e0) (4.76)

6.84 6.62

t4.63 14.08

3.44 3.35

(4.43) (4.30)

6.03 5-81

12.05 11.54

3.23 3. t4

(4.10) (3.e6)

5.47

5.26

10.37

9.87

3.07 2.98

(3.85) (3.72)

5.06 4.85

9.20 8;74

2.95 2.85

(3.66) (3.53)

4.74 4.54

8.35 7.92

2.85 2.75

(3.51) (3.37)

4.50 4.30

7;11

7.29

249.0 254.3

(ee7)

(lol8)

6235

6366

6235* 6366r

19.5

19.5

(3e.5)

(3e.5)

99.5

99.5

999.s 999.5

243.9

(e77)

6106

6107*

19.4

(3e.4)

99.4

999.4

7.71

(r2.22)

21.2

74.14

6.61

(r0.01)

16.26

47.18

6

5.99

(8.81)

13.74

35.51

L

s.14

Ma>

6.94/

6.59

(10.65)

(e.e8)

18.0

16.7

61.2s

56.18

5.'79 5_41

(8.43)

(7.76)

13.27

12.06

37.12 33.20

8.74 8.64

8.53

(14.3) (14.1)

(13.e)

27.1 26.6 26.1

128.3 125.9 t23.5

5.91 5.77

5.63

(8.7s) (8.51)

(8.26)

r4.4

13.9

13.5

47.41 45.77

44.0s

4.68

.

4.53

4.36

(6.s2) (6.28)

(6.02)

9.89

9.47 9.02

26.42 25.14 23.79

4.00

3.84

3.67

(5.37) (s.r2) (4.85)

7.72 7.31

6.88

17.99 16.90

15.75

3.41

3.23

(4.42)

(4.r4)

6.07

5.65

12.73 11.70

4.76

(6.60)

9.78

23.70

r0.92

27.00

7

5.59

4.74

4.35

(8.07

(6.s4)

(s.8e)

t2.25

9.55

8.45

29.25

21.69

18.77

8

s.32 4.46

4.07

(7

s7)

(6.06)

(5.42)

11.26

8.65

7.59

25.42 18.49 15.83

g

5.12j 4.26

3.86

(7.21)

(5.71)

(5.08)

10.56

8.02

6.99

22.86

16.39

13.90

l0

4.96

(6.e4)

10.04

21.04

I

I 4.84

(6.72)

9.65

19.69

4.10

3.71

(s.46) (4.83)

7.56

6.55

14.91

12.55

3.98

3.59

(5.26)

(4.63)

7.21

6.22

13.81

11.56

3.57

(4.67)

6.47

13.71

3.28

3.12

2.93

(4.20) (3r5) (3.67)

s.67 5.28 4.86

l l . l9 10.30 9.y

3.07 2.90

2.71

(3.87) (3.61)

(3.33)

5.1 4.73 4.31

9.57 8.72

7.81

l2

4.75 3.89

3.49

(6.s5) (5.10) (4.47)

9.33

6.93 5.95

18.64 12.97 10.80

2.91 2.74

(3.62) (3.37)

4.71 4.33

8.44 7.64

2.79

2.61

(3.43) (3.r7)

4.40 4.02

7.63 6.85

2.69 2.51

(3.28)

(3.02)

4.16 3.78

7.00 6.25

2.v

(3.

3.91

6.76

2. N

tz .

3.ffi

6.00

2.to

(2

3.36

5.42

*

Entries

marked

thus must

be multiplied by 100


17/17

Table 9

PercentagePoints

of

the F Distribution

-

continued

24

2

0

ta

16

l8

20

30

40

60

t20

4.67

3.81

(6.4t) (4.e7)

9.07

6.70

17.82 t2.31

4.60 3.74

(6.30) (4.86)

8.86 6.51

17.14 11.78

4.49 3.63

(6.12) (4.6e)

8.53 6.23

16.12 10.97

4.41 3.55

(s.e8) (4.s6)

8.29

6.01

15.38 10.39

4.35 3.49

(s.87) (4.46)

8.10 5.85

14.82 9.95

4.30 3.44

(s.7e) (4.38)

7.9s

s.72

14.38 9.61

4.26 3.40

(s.72) (4.32)

7.82 5.61

14.03 9.34

4.23 3.37

(5.66) (4.27)

7.72 5.53

13.74 9.12

4.20

3.34

(5.61) (4.22)

7.64 5.45

13_50 8.93

4.17 3.32

(s.57)

(4.

18 )

7.56 5.39

13.29 8.77

4.08 3.23

(s.42) (4.05)

7 31 5.18

12.61 8.25

4.00 3. 5

(s.2e)

(3.e3)

7.08 4.98

11.97 7.77

3.92 3.07

(s.15) (3.80)

6.85 4.79

r

1.38 7.32

3.84 3.00

(s.02) (3.6e)

6.63 4.61

10.83

6.91

3.41 3.18

(4.35)

(4.00)

5.74 5.21

10.21

9.07

3.34 3.1I

(4.24) (3.8e)

5.56

5.04

9.73 8.62

3.24 3.01

(4.08)

(3.73)

5.29 4.77

9.0r 7.94

3.16

2.93

(3.e5) (3.61)

5.09

4.58

8.49 7.46

3.10

2.87

(3.86) (3.s1)

4.94

4.43

8.10 7.10

3.05

2.82

(3.78) (3.44)

4.82 4.31

7,80 6.81

3.01 2.78

(3.72

(3.38)

4.72

4.22

7.55 6.59

2.98

2.74

(3.67)

(3.33)

4.64

4.t4

7.36 6.41

2.95

2.71

(3.63) (3.2e)

4.57 4.07

7.19 6.25

2.92 2.69

(3.5e) (3.25)

4.51 4.02

7.05 6.12

2.84 2.61

(3.46) (3.13)

4.31 3.83

6.59 5.70

216 2.s3

(3.34)

(3.01)

4.13 3.65

6.17 5.31

2.68

2.45

(3.23)

(2.8e)

3.95

3.48

5.'78

4.95

2.60 2.37

(3.r2) (2.7e)

3.78 3.32

5.42

4.62

3.03

2.92

(3.77)

(3.60)

4.86

4.62

8.35

7.86

2.96

2.85

(3.66) (3.50)

4.70

4.46

'7.92

7.44

2.85

2.74

(3.50)

(3.34)

4.44 4.20

7.27

6.80

2.77

2.66

(3.38)

(3.22)

4.25

4.01

6.81

6.35

2.71

2.60

(3.2e) (3.13)

4.10 3.87

6.46

6.02

2.66 2.55

(3.22) (3.0s)

3.99

3.76

6.19 s.76

2.62

2.5',1

(3.15)

(2.ee)

3.90

3.67

5.98

5.55

2.59 2.47

(3.r0)

(2.e4)

3.82 3.59

5.80 5.38

2.s6

2.45

(3.06)

(2.e0)

3.75 3.53

5.66

5.24

2.53

2.42

(3.03) (2.87)

3.70

3.47

5.53

5.12

2.45

2.34

(2.e0)

(2.74)

3.51 3.29

5.13

4.73

2.31

2.25

(2.7e)

(2.63)

3.34

3.12

4.76 4.37

2.29

2.18

(2.67)

(2.s2)

3.17

2.96

4.42

4.04

2.21 2.10

(2.57)

(2.41)

3.02 2.80

4.10

3.74

2.83

2.77

(3.48)

(3.3e)

4.44

4.30

7.49

7.21

2.76

2.70

(3.38) (3.2e)

4.28

4.14

7.08

6.80

2.66

2.59

(3.22)

(3.r2)

4.03

3.89

6.46

6.19

2.58

2.sl

(3.10)

(3.01)

3.84

3.71

6.02

5.76

2.51

2.4s

(3.0r) (2.e1)

3.70

3.56

5.69

5.44

2.46

2.40

(2.e3)

(2.84)

3.59

3.4s

5.44

5.19

2.42

2.36

(2.87)

(2.78)

3.50

3.36

5.23

4.99

2.39

23 2

(2.82)

(2.73)

3.42

3.29

s.a7

4.83

2.36

2.29

(2.78)

(2.6e)

3.36

3.23

4.93

4.69

2.33

2.27

(2.7s)

(2.6s)

3.30

3.17

4.82

4.58

2.25

2.18

(2.62)

(2.s3)

3.12 2.99

4.44

4.2r

2.17

2.10

(2.s1)

(2.41)

2.95

2.82

4.09

3.86

2.09

2.02

(2.3e)

(2.30)

2.79'

2.66

3.77

3.55

2.01

r.94

(2.2e)

(2.1e)

2.64 2.51

3.47

3.27

2.67

2.60

2.42

(3.2s)

(3.1s)

(z.se)

4.10

3.96

3.59

6.80

6.s2

5.78

2.60

2.53

2.35

(3.1s) (3.05) (2.7e)

3.94

3.80

3.43

6.40

6.13

5.41

2.49

2.42

2.24

(2.ee)

(2.8e)

(2.63)

3.69

3.55

3.18

5.81

5.55

4.85

2.41

2.34

2.15

(2.87)

(2.77)

(2.50)

3.51

3.37

3.00

5.39

5.

13

4.45

2.21

(2.60)

3.t7

4.97

2.t3

(2.4e)

3.00

4.60

2.01

(2.32)

2.75

4.06

1.92

(2.1e)

2.57

3.67

1.91

1.65

(2.r7)

(1.83)

2.52

2.06

3.46

2.69

2.35

2.28

2.08

1.84

(2.77) (2.68) (2.41) (2.0e)

3.37

3.23

2.86

2.42

5.08

4.82

4.15

3.38

22

24

26

28

2.22

2.75

1.95

1.69

(z.se) (2.4e) (2.22) (1.88)

3.09

2.96

2.58

2.13

4.48

4.24

3.59 2.82

2.30

2.23

{2.70)

(2.60)

3.26

3.12

4.83

4.58

2.25

2.18

(2.64)

(2.s4)

3.17

3.03

4.64

4.39

2.19

2.12

(2.55)

(2.4s)

3.03

2.90

4.35

4.11

2.08

2.00

(2.3e)

(2.2e)

2.80 2.66

3.87

3.64

1.99

1.92

(2.27)

(2.r'/)

2.63

2.50

3.54

3.32

l.9l 1.83

(2.16)

(2.0s)

2.47 2.34

3.24

3.02

l .83

1.75

(2.05)

(1.e4)

2.32 2.18

2.96

2.'t4

2.03

1.78

(2.33)

(2.00)

2.75

2.31

3.92

3.15

1 98

| .73

(2.27)

(1.e4)

\.66

2.21

3.74

2.97

2.16

2.09

1.89

1.62

(2.s1)

(2.41)

(2.r4)

(1.7e)

2.98

2.84

2.47 2.01

4.24

4.00

3.36 2.59

1 79

I

.51

(2.01)

(1.64)

2.29

1.80

3.01

2.23

1.70 1.39

(1.88)

(1.48)

2.12

1.60

2.69 1.89

1.61 1.25

(1;76) (1.3r)

1 95

I .38

2.40

1.54

1.s2 1.00

(1

64)

(1.00)

r."79 1.00

2.t3 1.00

This table is taken from Table V of

Fisher &

Yates: Statistical

Tables

or

Biological,

Agricultural

and

Medical

R"t""*,\r, reprinte

Documents

Stat Table 1