Table 3-1: Critical Values of the χ2 Distribution

P

df

0.995

0.975

0.9

0.5

0.1

0.05

0.025

0.01

0.005

df

1

.000

.000

0.016

0.455

2.706

3.841

5.024

6.635

7.879

1

2

0.010

0.051

0.211

1.386

4.605

5.991

7.378

9.210

10.597

2

3

0.072

0.216

0.584

2.366

6.251

7.815

9.348

11.345

12.838

3

4

0.207

0.484

1.064

3.357

7.779

9.488

11.143

13.277

14.860

4

5

0.412

0.831

1.610

4.351

9.236

11.070

12.832

15.086

16.750

5

6

0.676

1.237

2.204

5.348

10.645

12.592

14.449

16.812

18.548

6

7

0.989

1.690

2.833

6.346

12.017

14.067

16.013

18.475

20.278

7

8

1.344

2.180

3.490

7.344

13.362

15.507

17.535

20.090

21.955

8

9

1.735

2.700

4.168

8.343

14.684

16.919

19.023

21.666

23.589

9

10

2.156

3.247

4.865

9.342

15.987

18.307

20.483

23.209

25.188

10

11

2.603

3.816

5.578

10.341

17.275

19.675

21.920

24.725

26.757

11

12

3.074

4.404

6.304

11.340

18.549

21.026

23.337

26.217

28.300

12

13

3.565

5.009

7.042

12.340

19.812

22.362

24.736

27.688

29.819

13

14

4.075

5.629

7.790

13.339

21.064

23.685

26.119

29.141

31.319

14

15

4.601

6.262

8.547

14.339

22.307

24.996

27.488

30.578

32.801

15