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Table 7 : PERCENTAGE POINTS OF THE
F
DISTRIBUTION
Table 7 gives the value of
F
α,ν
1
,ν
2
with the respective value of
α
,
ν
1
and
ν
2
(degrees of freedom) where
f
α, ν
1
, ν
2
0
α
α
=
1
β
ν
1
2
,
ν
2
2
ν
1
ν
2
ν
1
2
∞
Fα,ν
1
,ν
2
x
(
ν
1
/
2)
−
1
1 +
ν
1
ν
2
x
−
ν
1 +
ν
2
2
dx
α
= 0
.
001
ν
1
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
ν
2
= 1 405284 500000 540379 562500 576405 585937 592873 598144 602284 605621 608368 610668 612622 614303 615764
2 998.5 999.0 999.2 999.2 999.3 999.3 999.4 999.4 999.4 999.4 999.4 999.4 999.4 999.4 999.4
3 167.029 148.500 141.109 137.100 134.580 132.848 131.583 130.619 129.860 129.247 128.741 128.317 127.955 127.644 127.374
4 74.1373 61.2456 56.1772 53.4358 51.7116 50.5250 49.6579 48.9962 48.4745 48.0526 47.7043 47.4118 47.1627 46.9481 46.7612
5 47.1808 37.1223 33.2025 31.0850 29.7524 28.8344 28.1626 27.6495 27.2445 26.9166 26.6456 26.4180 26.2240 26.0566 25.9108
6 35.5075 27.0000 23.7033 21.9235 20.8027 20.0297 19.4634 19.0303 18.6882 18.4109 18.1816 17.9888 17.8244 17.6825 17.5587
7 29.2452 21.6890 18.7723 17.1980 16.2058 15.5208 15.0186 14.6340 14.3299 14.0833 13.8791 13.7073 13.5607 13.4341 13.3237
8 25.4148 18.4937 15.8295 14.3916 13.4847 12.8580 12.3980 12.0455 11.7665 11.5401 11.3525 11.1945 11.0596 10.9430 10.8413
9 22.8571 16.3871 13.9018 12.5603 11.7137 11.1281 10.6979 10.3680 10.1066 9.8943 9.7183 9.5700 9.4433 9.3337 9.2381
10 21.0396 14.9054 12.5527 11.2828 10.4807 9.9256 9.5175 9.2041 8.9558 8.7539 8.5864 8.4452 8.3245 8.2200 8.1288
11 19.6868 13.8116 11.5611 10.3461 9.5784 9.0466 8.6553 8.3548 8.1163 7.9224 7.7614 7.6256 7.5094 7.4089 7.3210
12 18.6433 12.9737 10.8042 9.6327 8.8921 8.3788 8.0009 7.7104 7.4797 7.2920 7.1362 7.0046 6.8920 6.7945 6.7092
13 17.8154 12.3127 10.2089 9.0727 8.3541 7.8557 7.4886 7.2061 6.9818 6.7992 6.6474 6.5192 6.4094 6.3144 6.2312
14 17.1434 11.7789 9.7294 8.6223 7.9218 7.4358 7.0775 6.8017 6.5826 6.4041 6.2556 6.1302 6.0228 5.9297 5.8483
15 16.5874 11.3391 9.3353 8.2527 7.5674 7.0917 6.7408 6.4707 6.2559 6.0808 5.9352 5.8121 5.7066 5.6151 5.5351
16 16.1202 10.9710 9.0059 7.9442 7.2719 6.8049 6.4604 6.1950 5.9839 5.8117 5.6684 5.5473 5.4434 5.3533 5.2745
17 15.7222 10.6584 8.7269 7.6831 7.0219 6.5625 6.2234 5.9620 5.7541 5.5844 5.4431 5.3237 5.2212 5.1323 5.0544
18 15.3793 10.3899 8.4875 7.4593 6.8078 6.3550 6.0206 5.7628 5.5575 5.3900 5.2505 5.1324 5.0312 4.9433 4.8663
19 15.0808 10.1568 8.2799 7.2655 6.6225 6.1754 5.8452 5.5904 5.3876 5.2219 5.0840 4.9672 4.8669 4.7799 4.7037
20 14.8188 9.9526 8.0984 7.0960 6.4606 6.0186 5.6920 5.4400 5.2392 5.0752 4.9386 4.8229 4.7236 4.6374 4.5618
21 14.5869 9.7723 7.9383 6.9467 6.3179 5.8805 5.5571 5.3076 5.1087 4.9462 4.8107 4.6960 4.5975 4.5119 4.4369
22 14.3803 9.6120 7.7960 6.8142 6.1914 5.7580 5.4376 5.1901 4.9929 4.8317 4.6973 4.5835 4.4857 4.4007 4.3262
23 14.1950 9.4685 7.6688 6.6957 6.0783 5.6486 5.3308 5.0853 4.8896 4.7296 4.5962 4.4831 4.3859 4.3015 4.2274
24 14.0280 9.3394 7.5545 6.5892 5.9768 5.5504 5.2349 4.9912 4.7968 4.6379 4.5053 4.3929 4.2963 4.2124 4.1387
25 13.8767 9.2225 7.4511 6.4931 5.8851 5.4617 5.1484 4.9063 4.7131 4.5551 4.4233 4.3116 4.2155 4.1320 4.0587
30 13.2930 8.7734 7.0545 6.1245 5.5339 5.1223 4.8173 4.5814 4.3930 4.2388 4.1100 4.0006 3.9065 3.8247 3.7527
50 12.2221 7.9564 6.3364 5.4593 4.9013 4.5117 4.2224 3.9980 3.8185 3.6711 3.5476 3.4426 3.3521 3.2731 3.2035
70 11.7993 7.6366 6.0566 5.2008 4.6561 4.2753 3.9922 3.7725 3.5964 3.4517 3.3304 3.2271 3.1378 3.0599 2.9912
90 11.5732 7.4661 5.9078 5.0636 4.5260 4.1500 3.8703 3.6531 3.4789 3.3356 3.2154 3.1129 3.0244 2.9470 2.8787
150 11.2666 7.2359 5.7072 4.8788 4.3510 3.9815 3.7064 3.4926 3.3209 3.1795 3.0608 2.9595 2.8718 2.7951 2.7274
300 11.0440 7.0693 5.5623 4.7456 4.2249 3.8601 3.5884 3.3771 3.2072 3.0672 2.9495 2.8490 2.7620 2.6858 2.6184
40