APPENDIX E: The Chi-Square Distribution
‘dtp; 995 | 990 | 975 | 950
}
900 |ii .750 |: 500 | 250 |} 100 © oso | 025 | .o10 | .005
| 1 [0.00004 [0.00016 [0.00098 0.00393 [0.01579 [0.10153 {0.45494 |1.32330 [2.70554 | 3.84146 |5.02389 | 6.63490 [7.87944 |
_2 {0.01003 |o.02010 [0.05064 0.10259 {0.21072 |0.57536 [1.38629 |2.77259 (4.60517 [5.99146 [7.37776 (9.21034 |10.59663
| 3 [0.07172
[0.11483 [0.21580 [0.35185 [0.58437 [1.2
,
3 [2.36597 [4.10834 [6.25139 [7.81473 [9.34840 |11.34487 [1283816
Ta [0.20699 fo.29711 {0.48442 71072 |1.06362 {1.92256 [3.35669 [5.38527 | 7.77944 19.4873 |11.| 131.2746703[124.896026
|S [0.41174 [0.55430 (0.83121 [1.14548 |1.61031 |2.67460 [4.35146 | 6.62568 [9.23636 1.07050 | 12.83250 | 15.08627 | 16.74960
| 6 (0.67573 |0.87209 1.23734 |1.63538 [2.20413 [3.45460 |5.34812 |7.84080 | 10.6464 12.59159 | 14.44938 | 16.81189 [18.54758
98926 | 1.23904 1.68987 |2.16735 | 2.83311 [4.25485 | 6.34581 (9.03715 | 12.0170$ | 14.06714 | 16.01276 | 18.47531 [20.2774
“8 (1.3444) [1.64650 | 17973. {2.73264 {3.48954 [5.07064 [7.34412 | 10.2|1138.3861557 | 15.50731 | 1753455 20.09024 [21.95495
9 (1.73493 | 2.08790 2.70039 [3.32511 [4.16816 |5.89883 [8.34283 | 11.38875 | 14.68366 | 16.91898 | 19.02277 |21.66599 [23.58935
| 10 2.18586 [2.55821 (3.24697 [3.94030 [4.86518 6.73720 [9.34182 | 12.54886 |15.98718 | 18.30704 |2048518 |23.20925 [25.18818
| H1 [2.60322 |3.05348 [3.81575 [4.57481 (5.57778 [7.58414 [10|.13.3700469 |1170.27501 | 19.67514 |21.92005 |24.72497 |26.75685
[a2 [3o7ae2 [3.5787 [4.40579 {5.22603 [6.30380 [8.43842 {1.|314.4845400 |318.254935 |21.02607 {23.3366 | 26.21697 [2829952
| 43 [3.56503 }4.10692 |5.00875 [5.89186 |7.04150 [9.29907 | 12.3|9157.986391 | 19.81193 | 22.36203 |24.73560 27.6825 |29.81947,
| 14 [4.07467 [4.66043 5.62873 | 6.57063 | 7.78953 | 10.16531 | 1333927 | 17.1693 | 21.06414 |23.68479 | 26.1895 {9.14124 [3131935 |
[15 [4.60092 [5.22935 [6.26214 |7.26004 {8.54676 {11.3654 | 14.33886 | 18.24509 [2.30713 | 24.99579 |27.48839 |30.57791 |32.80132 |
| U6 [5.14221 [5.91221 [6.90766 (7.96165 [9.31224 {1.91222 | 15.33850 | 19.36886 | 23.54183 |26.| 282.8495356| 321.93999 [34.26719
{17 [5.69722 1640776 | 7.56419 | 8.67176 | 10.0|8152.1799193 | 16.33818 20.4868 |24.76904 |27.58711 |30.19101 | 3.40866 [35.71847
| 18 [6.26480 [7.01491 8.23075 9.39046 | 10.86494 | 13.67529 | 17.3790 : 21.60489 | 25.98942 |28.86930 |31.52638 |34.80531 |37.15645.
[19 [6.84397 [7.63273 [8.9065|2 10.11701 | 11.65091 | 14.5620 | 18.33765 |22.71781 |
| 20 [7.43384 [826040 [9.59078 [10.85081 | 12.44261 {15.4517 | 19.33743 | 23.82769 |28.41198 |31.41043 |34.16961 |37.56623 |39.99685.
[aa [8.03365 [8.89720 | 10.28290 !11.59131 , 13.23960 | 16.3438 | 20.33723 | 24.93478 29.61509 | 32.67057 | 35.47888 | 38.93217 [4140106
| 22 | 8.64272 | 9.54249 |10.98| 212.3332801 | 14.04149 | 17.23962 | 21.|326.3039277 |030.481328 33.9244 |36.78071 | 40.28936 |42.79565
| 23 19,26042 | 10.19572 |11.68855 , 13.09051 | 14.84796 | 18.13730 | 22.3688 |27.14134 "32.00690 |35.17246 |38.07563.(41.63840 (4.18128.
| 24 {9.88623 | 10.85|6132.640115 | 13.84843 | 15.65868 | 19.03725 |23.3673 | 28.24115 | 3.19624 | 36.41503 ; 39.36408 | 42.97982 |45.55851.
[25| 10.51965 | 11.52398 [13.1972 | 14.61 141 | 16.47341 | 19.93934 | 24.33659 | 2933885 | 34.38159 |37.65248 | 40.64647 | 44,31410 [46.92789
|26 {1.16024 {12.19815 /13.84390 | 15.37916 |17.29188 |20.84343 { 25.3646 | 30.43657| 35.56317 |38.88514 | 41.92| 435.1647168 | 48.28988
| 27 |11.80759| 12.8|7184.5570338 | 16.15140./ 18.1390 |21.74940 | 26.33634 |31.52841 36.74122 | 40.11327 (43.19451 | 46.96294 [49.64492
| 28 [1246134 { 13.56471 | 15.30786 | 16.92788 | 18.93924 |22.65716 | 27.33623 | 32,62049 | 37.91592 | 41.3714 |44.46079 | 48.27824 |50.99338
a9 [13.12115| 14.| 216.0547067 |817.570837 |19.76774 [23.5659 |28.33613 (33.71091 | 39.08747 {42.55697 | 45.7229 | 49.58788 [52.33562
} 30 | 13.78672| 14.95346 | 16.79077 | 18.4926 |20.59923 |24.47761 | 29.33603 | 34.7|9407.254602 |43.77297 | 46,97924 | 50.89218 | 53.67196
Pag7 eof 7