Wartości krytyczne χ²α
Źródło: Dziunikowski i Kalita, Metody pomiarów jądrowych, wyd. elektr. 2008, strony PDF: 112. Podpis w źródle: Tab. 7.3. Wartości krytyczne χ2α
Wartości krytyczne rozkładu chi-kwadrat dla stopni swobody n=1-30 i szerokiego zestawu poziomów α. Tabela może zasilać ćwiczenia z wariancji, testów zgodności i kontroli rozrzutu pomiarów.
Tabela jest szeroka w oryginale; przepisano ją jako CSV z jedną kolumną dla każdego poziomu α.
Wiersze 21-23 skontrolowano obrazem strony, ponieważ znak wodny utrudnia ekstrakcję tekstową.
Pokazano 30 z 30 wierszy.
| n | α=0,99 | α=0,98 | α=0,95 | α=0,90 | α=0,80 | α=0,70 | α=0,50 | α=0,30 | α=0,20 | α=0,10 | α=0,05 | α=0,02 | α=0,01 | α=0,001 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 0.000157 | 0.000628 | 0.00393 | 0.0158 | 0.0642 | 0.148 | 0.455 | 1.074 | 1.642 | 2.706 | 3.841 | 5.412 | 6.635 | 10.827 |
| 2 | 0.0201 | 0.0404 | 0.103 | 0.211 | 0.446 | 0.713 | 1.386 | 2.408 | 3.219 | 4.605 | 5.991 | 7.824 | 9.21 | 13.815 |
| 3 | 0.115 | 0.185 | 0.352 | 0.584 | 1.005 | 1.424 | 2.366 | 3.665 | 4.642 | 6.251 | 7.815 | 9.837 | 11.345 | 16.268 |
| 4 | 0.297 | 0.429 | 0.711 | 1.064 | 1.649 | 2.195 | 3.357 | 4.878 | 5.989 | 7.779 | 9.488 | 11.668 | 13.277 | 18.465 |
| 5 | 0.554 | 0.752 | 1.145 | 1.61 | 2.343 | 3 | 4.351 | 6.064 | 7.289 | 9.236 | 11.07 | 13.388 | 15.086 | 20.517 |
| 6 | 0.872 | 1.134 | 1.635 | 2.204 | 3.07 | 3.828 | 5.348 | 7.231 | 8.558 | 10.645 | 12.592 | 15.033 | 16.812 | 22.457 |
| 7 | 1.239 | 1.564 | 2.167 | 2.833 | 3.822 | 4.671 | 6.346 | 8.383 | 9.803 | 12.017 | 14.067 | 16.622 | 18.475 | 24.322 |
| 8 | 1.646 | 2.032 | 2.733 | 3.49 | 4.594 | 5.527 | 7.344 | 9.524 | 11.03 | 13.362 | 15.507 | 18.168 | 20.09 | 26.125 |
| 9 | 2.088 | 2.532 | 3.325 | 4.168 | 5.38 | 6.393 | 8.343 | 10.656 | 12.242 | 14.684 | 16.919 | 19.679 | 21.666 | 27.877 |
| 10 | 2.558 | 3.059 | 3.94 | 4.865 | 6.179 | 7.267 | 9.342 | 11.781 | 13.442 | 15.987 | 18.307 | 21.161 | 23.209 | 29.588 |
| 11 | 3.053 | 3.609 | 4.575 | 5.578 | 6.989 | 8.148 | 10.341 | 12.899 | 14.631 | 17.275 | 19.675 | 22.618 | 24.725 | 31.264 |
| 12 | 3.571 | 4.178 | 5.226 | 6.304 | 7.807 | 9.034 | 11.34 | 14.011 | 15.812 | 18.549 | 21.026 | 24.054 | 26.217 | 32.909 |
| 13 | 4.107 | 4.765 | 5.892 | 7.042 | 8.634 | 9.926 | 12.34 | 15.119 | 16.985 | 19.812 | 22.362 | 25.472 | 27.688 | 34.528 |
| 14 | 4.66 | 5.368 | 6.571 | 7.79 | 9.467 | 10.821 | 13.339 | 16.22 | 18.151 | 21.064 | 23.685 | 26.873 | 29.141 | 36.123 |
| 15 | 5.229 | 5.985 | 7.261 | 8.547 | 10.307 | 11.721 | 14.339 | 17.332 | 19.311 | 22.307 | 24.996 | 28.259 | 30.578 | 37.697 |
| 16 | 5.812 | 6.614 | 7.962 | 9.312 | 11.152 | 12.624 | 15.338 | 18.418 | 20.465 | 23.542 | 26.296 | 29.633 | 32 | 39.252 |
| 17 | 6.408 | 7.255 | 8.672 | 10.085 | 12.002 | 13.531 | 16.338 | 19.511 | 21.615 | 24.769 | 27.587 | 30.995 | 33.409 | 40.79 |
| 18 | 7.015 | 7.906 | 9.39 | 10.865 | 12.857 | 14.44 | 17.338 | 20.601 | 22.76 | 25.989 | 28.869 | 32.346 | 34.805 | 42.312 |
| 19 | 7.633 | 8.567 | 10.117 | 11.651 | 13.716 | 15.352 | 18.338 | 21.689 | 23.9 | 27.204 | 30.144 | 33.687 | 36.191 | 43.82 |
| 20 | 8.26 | 9.237 | 10.851 | 12.443 | 14.578 | 16.266 | 19.337 | 22.775 | 25.038 | 28.412 | 31.41 | 35.02 | 37.566 | 45.318 |
| 21 | 8.897 | 9.915 | 11.591 | 13.24 | 15.445 | 17.182 | 20.337 | 23.858 | 26.171 | 29.615 | 32.671 | 36.343 | 38.932 | 46.797 |
| 22 | 9.542 | 10.6 | 12.338 | 14.041 | 16.314 | 18.101 | 21.337 | 24.939 | 27.301 | 30.813 | 33.924 | 37.659 | 40.289 | 48.268 |
| 23 | 10.196 | 11.293 | 13.091 | 14.848 | 17.187 | 19.021 | 22.337 | 26.018 | 28.429 | 32.007 | 35.172 | 38.368 | 41.638 | 49.728 |
| 24 | 10.856 | 11.992 | 13.848 | 15.659 | 18.062 | 19.943 | 23.337 | 27.096 | 29.553 | 33.196 | 36.415 | 40.27 | 42.98 | 51.179 |
| 25 | 11.524 | 12.697 | 14.611 | 16.473 | 18.94 | 20.867 | 24.337 | 28.172 | 30.675 | 34.382 | 37.652 | 41.566 | 44.314 | 52.62 |
| 26 | 12.198 | 13.409 | 15.379 | 17.292 | 19.82 | 21.792 | 25.336 | 29.246 | 31.795 | 35.563 | 38.885 | 42.856 | 45.642 | 54.052 |
| 27 | 12.879 | 14.125 | 16.151 | 18.114 | 20.703 | 22.719 | 26.336 | 30.319 | 32.912 | 36.741 | 40.113 | 44.14 | 46.963 | 55.476 |
| 28 | 13.565 | 14.847 | 16.928 | 18.939 | 21.588 | 23.647 | 27.336 | 31.391 | 34.027 | 37.916 | 41.337 | 45.419 | 48.278 | 56.893 |
| 29 | 14.256 | 15.574 | 17.708 | 19.768 | 22.475 | 24.577 | 28.336 | 32.461 | 35.139 | 39.087 | 42.557 | 46.693 | 49.588 | 58.302 |
| 30 | 14.953 | 16.306 | 18.493 | 20.599 | 23.364 | 25.508 | 29.336 | 33.53 | 36.25 | 40.256 | 43.773 | 47.962 | 50.892 | 59.703 |