Tabla Chi-Squared PDF

 

Table A.5

 

Chi-Squared Chi-Squared Distribution Proba Probability bility Table  Table 

739

α 

Table A.5  Critical

Values of the Chi-Squared Distribution

0

 

 χ 2

α 

α v 

 

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 50 60

                 

0.995 0. 4

0.99 3

0.0 157 0.0201 0.115 0.297 0.554 0.872 1.239 1.647 2.088 2.558 3.053

0.98 3

0.0 628 0.0404 0.185 0.429 0.752 1.134 1.564 2.032 2.532 3.059 3.609

0.975 3

0.0 982 0.0506 0.216 0.484 0.831 1.237 1.690 2.180 2.700 3.247 3.816

0.95

0.00393 0.103 0.352 0.711 1.145 1.635 2.167 2.733 3.325 3.940 4.575

0.90

0.80

0.75

0.0158 0.211 0.584 1.064 1.610 2.204 2.833 3.490 4.168 4.865 5.578

0.0642 0.446 1.005 1.649 2.343 3.070 3.822 4.594 5.380 6.179 6.989

0.102 0.575 1.213 1.923 2.675 3.455 4.255 5.071 5.899 6.737 7.584

0.70

0.50

                     

0.0 393 0.0100 0.0717 0.207 0.412 0.676 0.989 1.344 1.735 2.156 2.603

0.148 0.455 0.713 1.386 1.424 2.366 2.195 3.357 3.000 4.351 3.828 5.348 4.671 6.346 5.527 7.344 6.393 8.343 7.267 9.342 8.148 10.341

                       

3.074 3.565 4.075 4.601 5.142 5.697 6.265 6.844 7.434 8.034 8.643 9.260

3.571 4.107 4.660 5.229 5.812 6.408 7.015 7.633 8.260 8.897 9.542 10.196

4.178 4.765 5.368 5.985 6.614 7.255 7.906 8.567 9.237 9.915 10.600 11.293

4.404 5.009 5.629 6.262 6.908 7.564 8.231 8.907 9.591 10.283 10.982 11.689

5.226 5.892 6.571 7.261 7.962 8.672 9.390 10.117 10.851 11.591 12.338 13.091

6.304 7.041 7.790 8.547 9.312 10.085 10.865 11.651 12.443 13.240 14.041 14.848

7.807 8.634 9.467 10.307 11.152 12.002 12.857 13.716 14.578 15.445 16.314 17.187

8.438 9.299 10.165 11.037 11.912 12.792 13.675 14.562 15.452 16.344 17.240 18.137

9.034 9.926 10.821 11.721 12.624 13.531 14.440 15.352 16.266 17.182 18.101 19.021

11.340 12.340 13.339 14.339 15.338 16.338 17.338 18.338 19.337 20.337 21.337 22.337

  9.886 10.520 11.160 11.808 12.461 13.121 13.787 20.707 27.991 35.534

10.856 11.524 12.198 12.878 13.565 14.256 14.953 22.164 29.707 37.485

11.992 12.697 13.409 14.125 14.847 15.574 16.306 23.838 31.664 39.699

12.401 13.120 13.844 14.573 15.308 16.047 16.791 24.433 32.357 40.482

13.848 14.611 15.379 16.151 16.928 17.708 18.493 26.509 34.764 43.188

15.659 16.473 17.292 18.114 18.939 19.768 20.599 29.051 37.689 46.459

18.062 18.940 19.820 20.703 21.588 22.475 23.364 32.345 41.449 50.641

19.037 19.939 20.843 21.749 22.657 23.567 24.478 33.66 42.942 52.294

19.943 20 20.867 21 21.792 22 22.719 23 23.647 24 24.577 25 25.508 34.872 44 44.313 53 53.809

23.337 2244.337 2255.336 2266.336 2277.336 2288.336 2299.336 39 39.335 4499.335 5599.335

 

740

 

Table A.5  (continued)

Appendi Appendixx A

Statisti Statistica call Tables and Pr Pro oofs 

Critical Values of the Chi-Squared Distribution α

 

v 

  11..074   2.408   3.665

16 17 18 19 20 21 22 23 24 25 26 27

0.01

0.005

0.001

6.635 9.210 11.345

7.879 10.597 12.838

10.827 13.815 16.266

             

64..086748 7.231 8.383 9.524 10.656 10 11.781 11 12.899 12 14.011 14 15.119 15 16.222 16 17.322 17

65..632865 7.841 9.037 10.219 11.389 12.549 13.701 14.845 15.984 17.117 18.245

75..298899 8.558 9.803 11.030 12.242 13.442 14.631 15.812 16.985 18.151 19.311

97..273769 10.645 12.017 13.362 14.684 15.987 17.275 18.549 19.812 21.064 22.307

119..047808 12.592 14.067 15.507 16.919 18.307 19.675 21.026 22.362 23.685 24.996

1121..813423 14.449 16.013 17.535 19.023 20.483 21.920 23.337 24.736 26.119 27.488

1131..368688 15.033 16.622 18.168 19.679 21.161 22.618 24.054 25.471 26.873 28.259

1153..028767 16.812 18.475 20.090 21.666 23.209 24.725 26.217 27.688 29.141 30.578

1164..785600 18.548 20.278 21.955 23.589 25.188 26.757 28.300 29.819 31.319 32.801

2108..541656 22.457 24.321 26.124 27.877 29.588 31.264 32.909 34.527 36.124 37.698

                       

18.418 18 1199.511 20.601 20 21.689 21 22.775 22 23.858 23 24.939 24 26.018 26 27.096 27 28.172 28 29.246 29 30.319 30

19.369 20.489 21.605 22.718 23.828 24.935 26.039 27.141 28.241 29.339 30.435 31.528

20.465 21.615 22.760 23.900 25.038 26.171 27.301 28.429 29.553 30.675 31.795 32.912

23.542 24.769 25.989 27.204 28.412 29.615 30.813 32.007 33.196 34.382 35.563 36.741

26.296 27.587 28.869 30.144 31.410 32.671 33.924 35.172 36.415 37.652 38.885 40.113

28.845 30.191 31.526 32.852 34.170 35.479 36.781 38.076 39.364 40.646 41.923 43.195

29.633 30.995 32.346 33.687 35.020 36.343 37.659 38.968 40.270 41.566 42.856 44.140

32.000 33.409 34.805 36.191 37.566 38.932 40.289 41.638 42.980 44.314 45.642 46.963

34.267 35.718 37.156 38.582 39.997 41.401 42.796 44.181 45.558 46.928 48.290 49.645

39.252 40.791 42.312 43.819 45.314 46.796 48.268 49.728 51.179 52.619 54.051 55.475

          

321..436911 31 332 33.530 33 44.165 44 54.723 54 65.226 65

3332..761210 34.800 45.616 56.334 66.981

3354..103297 36.250 47.269 58.164 68.972

3397..098176 40.256 51.805 63.167 74.397

4421..535377 43.773 55.758 67.505 79.082

4454..742621 46.979 59.342 71.420 83.298

4465..649139 47.962 60.436 72.613 84.58

4498..528788 50.892 63.691 76.154 88.379

5520..393954 53.672 66.766 79.490 91.952

5586..380912 59.702 73.403 86.660 99.608

        

8

15

0.02

5.412 7.824 9.837

7

14

0.025

5.024 7.378 9.348

6

13

0.05

3.841 5.991 7.815

4 5

12

0.10

2.706 4.605 6.251

3

11

0.20

1.642 3.219 4.642

2

10

0.25

1.323 2.773 4.108

1

9

0.30

28 29 30 40 50 60