| Upper tail | 0.25 | 0.2 | 0.15 | 0.125 | 0.1 | 0.075 | 0.05 | 0.025 | 0.005 | 0.0025 | 5e-04 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| \(DF\) | |||||||||||
| 1 | 1.323 | 1.642 | 2.072 | 2.354 | 2.706 | 3.17 | 3.841 | 5.024 | 7.879 | 9.141 | 12.116 |
| 2 | 2.773 | 3.219 | 3.794 | 4.159 | 4.605 | 5.181 | 5.991 | 7.378 | 10.597 | 11.983 | 15.202 |
| 3 | 4.108 | 4.642 | 5.317 | 5.739 | 6.251 | 6.905 | 7.815 | 9.348 | 12.838 | 14.32 | 17.73 |
| 4 | 5.385 | 5.989 | 6.745 | 7.214 | 7.779 | 8.496 | 9.488 | 11.143 | 14.86 | 16.424 | 19.997 |
| 5 | 6.626 | 7.289 | 8.115 | 8.625 | 9.236 | 10.008 | 11.07 | 12.833 | 16.75 | 18.386 | 22.105 |
| 6 | 7.841 | 8.558 | 9.446 | 9.992 | 10.645 | 11.466 | 12.592 | 14.449 | 18.548 | 20.249 | 24.103 |
| 7 | 9.037 | 9.803 | 10.748 | 11.326 | 12.017 | 12.883 | 14.067 | 16.013 | 20.278 | 22.04 | 26.018 |
| 8 | 10.219 | 11.03 | 12.027 | 12.636 | 13.362 | 14.27 | 15.507 | 17.535 | 21.955 | 23.774 | 27.868 |
| 9 | 11.389 | 12.242 | 13.288 | 13.926 | 14.684 | 15.631 | 16.919 | 19.023 | 23.589 | 25.462 | 29.666 |
| 10 | 12.549 | 13.442 | 14.534 | 15.198 | 15.987 | 16.971 | 18.307 | 20.483 | 25.188 | 27.112 | 31.42 |
| 11 | 13.701 | 14.631 | 15.767 | 16.457 | 17.275 | 18.294 | 19.675 | 21.92 | 26.757 | 28.729 | 33.137 |
| 12 | 14.845 | 15.812 | 16.989 | 17.703 | 18.549 | 19.602 | 21.026 | 23.337 | 28.3 | 30.318 | 34.821 |
| 13 | 15.984 | 16.985 | 18.202 | 18.939 | 19.812 | 20.897 | 22.362 | 24.736 | 29.819 | 31.883 | 36.478 |
| 14 | 17.117 | 18.151 | 19.406 | 20.166 | 21.064 | 22.18 | 23.685 | 26.119 | 31.319 | 33.426 | 38.109 |
| 15 | 18.245 | 19.311 | 20.603 | 21.384 | 22.307 | 23.452 | 24.996 | 27.488 | 32.801 | 34.95 | 39.719 |
| 16 | 19.369 | 20.465 | 21.793 | 22.595 | 23.542 | 24.716 | 26.296 | 28.845 | 34.267 | 36.456 | 41.308 |
| 17 | 20.489 | 21.615 | 22.977 | 23.799 | 24.769 | 25.97 | 27.587 | 30.191 | 35.718 | 37.946 | 42.879 |
| 18 | 21.605 | 22.76 | 24.155 | 24.997 | 25.989 | 27.218 | 28.869 | 31.526 | 37.156 | 39.422 | 44.434 |
| 19 | 22.718 | 23.9 | 25.329 | 26.189 | 27.204 | 28.458 | 30.144 | 32.852 | 38.582 | 40.885 | 45.973 |
| 20 | 23.828 | 25.038 | 26.498 | 27.376 | 28.412 | 29.692 | 31.41 | 34.17 | 39.997 | 42.336 | 47.498 |
| 21 | 24.935 | 26.171 | 27.662 | 28.559 | 29.615 | 30.92 | 32.671 | 35.479 | 41.401 | 43.775 | 49.011 |
| 22 | 26.039 | 27.301 | 28.822 | 29.737 | 30.813 | 32.142 | 33.924 | 36.781 | 42.796 | 45.204 | 50.511 |
| 23 | 27.141 | 28.429 | 29.979 | 30.911 | 32.007 | 33.36 | 35.172 | 38.076 | 44.181 | 46.623 | 52 |
| 24 | 28.241 | 29.553 | 31.132 | 32.081 | 33.196 | 34.572 | 36.415 | 39.364 | 45.559 | 48.034 | 53.479 |
| 25 | 29.339 | 30.675 | 32.282 | 33.247 | 34.382 | 35.78 | 37.652 | 40.646 | 46.928 | 49.435 | 54.947 |
| 26 | 30.435 | 31.795 | 33.429 | 34.41 | 35.563 | 36.984 | 38.885 | 41.923 | 48.29 | 50.829 | 56.407 |
| 27 | 31.528 | 32.912 | 34.574 | 35.57 | 36.741 | 38.184 | 40.113 | 43.195 | 49.645 | 52.215 | 57.858 |
| 28 | 32.62 | 34.027 | 35.715 | 36.727 | 37.916 | 39.38 | 41.337 | 44.461 | 50.993 | 53.594 | 59.3 |
| 29 | 33.711 | 35.139 | 36.854 | 37.881 | 39.087 | 40.573 | 42.557 | 45.722 | 52.336 | 54.967 | 60.735 |
| 30 | 34.8 | 36.25 | 37.99 | 39.033 | 40.256 | 41.762 | 43.773 | 46.979 | 53.672 | 56.332 | 62.162 |
| 40 | 45.616 | 47.269 | 49.244 | 50.424 | 51.805 | 53.501 | 55.758 | 59.342 | 66.766 | 69.699 | 76.095 |
| 50 | 56.334 | 58.164 | 60.346 | 61.647 | 63.167 | 65.03 | 67.505 | 71.42 | 79.49 | 82.664 | 89.561 |
| 100 | 109.141 | 111.667 | 114.659 | 116.433 | 118.498 | 121.017 | 124.342 | 129.561 | 140.169 | 144.293 | 153.167 |
| Z-score | 0.674 | 0.842 | 1.036 | 1.15 | 1.282 | 1.44 | 1.645 | 1.96 | 2.576 | 2.807 | 3.291 |
| Confidence Level: | \(50\%\) | \(60\%\) | \(70\%\) | \(75\%\) | \(80\%\) | \(85\%\) | \(90\%\) | \(95\%\) | \(99\%\) | \(99.5\%\) | \(99.9\%\) |