F-table: online statistical tool
Get quick f-value results with our online f-table tool
F Table for alpha =.10
DF1 (see next table below for 12 to ∞)
| DF2 |
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
|
1
|
39.86346
|
49.50000
|
53.59324
|
55.83296
|
57.24008
|
58.20442
|
58.90595
|
59.43898
|
59.85759
|
60.19498
|
|
2
|
8.52632
|
9.00000
|
9.16179
|
9.24342
|
9.29263
|
9.32553
|
9.34908
|
9.36677
|
9.38054
|
9.39157
|
|
3
|
5.53832
|
5.46238
|
5.39077
|
5.34264
|
5.30916
|
5.28473
|
5.26619
|
5.25167
|
5.24000
|
5.23041
|
|
4
|
4.54477
|
4.32456
|
4.19086
|
4.10725
|
4.05058
|
4.00975
|
3.97897
|
3.95494
|
3.93567
|
3.91988
|
|
5
|
4.06042
|
3.77972
|
3.61948
|
3.52020
|
3.45298
|
3.40451
|
3.36790
|
3.33928
|
3.31628
|
3.29740
|
|
6
|
3.77595
|
3.46330
|
3.28876
|
3.18076
|
3.10751
|
3.05455
|
3.01446
|
2.98304
|
2.95774
|
2.93693
|
|
7
|
3.58943
|
3.25744
|
3.07407
|
2.96053
|
2.88334
|
2.82739
|
2.78493
|
2.75158
|
2.72468
|
2.70251
|
|
8
|
3.45792
|
3.11312
|
2.92380
|
2.80643
|
2.72645
|
2.66833
|
2.62413
|
2.58935
|
2.56124
|
2.53804
|
|
9
|
3.36030
|
3.00645
|
2.81286
|
2.69268
|
2.61061
|
2.55086
|
2.50531
|
2.46941
|
2.44034
|
2.41632
|
|
10
|
3.28502
|
2.92447
|
2.72767
|
2.60534
|
2.52164
|
2.46058
|
2.41397
|
2.37715
|
2.34731
|
2.32260
|
|
11
|
3.22520
|
2.85951
|
2.66023
|
2.53619
|
2.45118
|
2.38907
|
2.34157
|
2.30400
|
2.27350
|
2.24823
|
|
12
|
3.17655
|
2.80680
|
2.60552
|
2.48010
|
2.39402
|
2.33102
|
2.28278
|
2.24457
|
2.21352
|
2.18776
|
|
13
|
3.13621
|
2.76317
|
2.56027
|
2.43371
|
2.34672
|
2.28298
|
2.23410
|
2.19535
|
2.16382
|
2.13763
|
|
14
|
3.10221
|
2.72647
|
2.52222
|
2.39469
|
2.30694
|
2.24256
|
2.19313
|
2.15390
|
2.12195
|
2.09540
|
|
15
|
3.07319
|
2.69517
|
2.48979
|
2.36143
|
2.27302
|
2.20808
|
2.15818
|
2.11853
|
2.08621
|
2.05932
|
|
16
|
3.04811
|
2.66817
|
2.46181
|
2.33274
|
2.24376
|
2.17833
|
2.12800
|
2.08798
|
2.05533
|
2.02815
|
|
17
|
3.02623
|
2.64464
|
2.43743
|
2.30775
|
2.21825
|
2.15239
|
2.10169
|
2.06134
|
2.02839
|
2.00094
|
|
18
|
3.00698
|
2.62395
|
2.41601
|
2.28577
|
2.19583
|
2.12958
|
2.07854
|
2.03789
|
2.00467
|
1.97698
|
|
19
|
2.98990
|
2.60561
|
2.39702
|
2.26630
|
2.17596
|
2.10936
|
2.05802
|
2.01710
|
1.98364
|
1.95573
|
|
20
|
2.97465
|
2.58925
|
2.38009
|
2.24893
|
2.15823
|
2.09132
|
2.03970
|
1.99853
|
1.96485
|
1.93674
|
|
21
|
2.96096
|
2.57457
|
2.36489
|
2.23334
|
2.14231
|
2.07512
|
2.02325
|
1.98186
|
1.94797
|
1.91967
|
|
22
|
2.94858
|
2.56131
|
2.35117
|
2.21927
|
2.12794
|
2.06050
|
2.00840
|
1.96680
|
1.93273
|
1.90425
|
|
23
|
2.93736
|
2.54929
|
2.33873
|
2.20651
|
2.11491
|
2.04723
|
1.99492
|
1.95312
|
1.91888
|
1.89025
|
|
24
|
2.92712
|
2.53833
|
2.32739
|
2.19488
|
2.10303
|
2.03513
|
1.98263
|
1.94066
|
1.90625
|
1.87748
|
|
25
|
2.91774
|
2.52831
|
2.31702
|
2.18424
|
2.09216
|
2.02406
|
1.97138
|
1.92925
|
1.89469
|
1.86578
|
|
26
|
2.90913
|
2.51910
|
2.30749
|
2.17447
|
2.08218
|
2.01389
|
1.96104
|
1.91876
|
1.88407
|
1.85503
|
|
27
|
2.90119
|
2.51061
|
2.29871
|
2.16546
|
2.07298
|
2.00452
|
1.95151
|
1.90909
|
1.87427
|
1.84511
|
|
28
|
2.89385
|
2.50276
|
2.29060
|
2.15714
|
2.06447
|
1.99585
|
1.94270
|
1.90014
|
1.86520
|
1.83593
|
|
29
|
2.88703
|
2.49548
|
2.28307
|
2.14941
|
2.05658
|
1.98781
|
1.93452
|
1.89184
|
1.85679
|
1.82741
|
|
30
|
2.88069
|
2.48872
|
2.27607
|
2.14223
|
2.04925
|
1.98033
|
1.92692
|
1.88412
|
1.84896
|
1.81949
|
|
40
|
2.83535
|
2.44037
|
2.22609
|
2.09095
|
1.99682
|
1.92688
|
1.87252
|
1.82886
|
1.79290
|
1.76269
|
|
60
|
2.79107
|
2.39325
|
2.17741
|
2.04099
|
1.94571
|
1.87472
|
1.81939
|
1.77483
|
1.73802
|
1.70701
|
|
120
|
2.74781
|
2.34734
|
2.12999
|
1.99230
|
1.89587
|
1.82381
|
1.76748
|
1.72196
|
1.68425
|
1.65238
|
|
inf
|
2.70554
|
2.30259
|
2.08380
|
1.94486
|
1.84727
|
1.77411
|
1.71672
|
1.67020
|
1.63152
|
1.59872
|
F Table for alpha=.05
DF1 (see next table below for 12 to ∞)
| df2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 1 |
161.4476 |
199.5000 |
215.7073 |
224.5832 |
230.1619 |
233.9860 |
236.7684 |
238.8827 |
240.5433 |
241.8817 |
| 2 |
18.5128 |
19.0000 |
19.1643 |
19.2468 |
19.2964 |
19.3295 |
19.3532 |
19.3710 |
19.3848 |
19.3959 |
| 3 |
10.1280 |
9.5521 |
9.2766 |
9.1172 |
9.0135 |
8.9406 |
8.8867 |
8.8452 |
8.8123 |
8.7855 |
| 4 |
7.7086 |
6.9443 |
6.5914 |
6.3882 |
6.2561 |
6.1631 |
6.0942 |
6.0410 |
5.9988 |
5.9644 |
| 5 |
6.6079 |
5.7861 |
5.4095 |
5.1922 |
5.0503 |
4.9503 |
4.8759 |
4.8183 |
4.7725 |
4.7351 |
| 6 |
5.9874 |
5.1433 |
4.7571 |
4.5337 |
4.3874 |
4.2839 |
4.2067 |
4.1468 |
4.0990 |
4.0600 |
| 7 |
5.5914 |
4.7374 |
4.3468 |
4.1203 |
3.9715 |
3.8660 |
3.7870 |
3.7257 |
3.6767 |
3.6365 |
| 8 |
5.3177 |
4.4590 |
4.0662 |
3.8379 |
3.6875 |
3.5806 |
3.5005 |
3.4381 |
3.3881 |
3.3472 |
| 9 |
5.1174 |
4.2565 |
3.8625 |
3.6331 |
3.4817 |
3.3738 |
3.2927 |
3.2296 |
3.1789 |
3.1373 |
| 10 |
4.9646 |
4.1028 |
3.7083 |
3.4780 |
3.3258 |
3.2172 |
3.1355 |
3.0717 |
3.0204 |
2.9782 |
| 11 |
4.8443 |
3.9823 |
3.5874 |
3.3567 |
3.2039 |
3.0946 |
3.0123 |
2.9480 |
2.8962 |
2.8536 |
| 12 |
4.7472 |
3.8853 |
3.4903 |
3.2592 |
3.1059 |
2.9961 |
2.9134 |
2.8486 |
2.7964 |
2.7534 |
| 13 |
4.6672 |
3.8056 |
3.4105 |
3.1791 |
3.0254 |
2.9153 |
2.8321 |
2.7669 |
2.7144 |
2.6710 |
| 14 |
4.6001 |
3.7389 |
3.3439 |
3.1122 |
2.9582 |
2.8477 |
2.7642 |
2.6987 |
2.6458 |
2.6022 |
| 15 |
4.5431 |
3.6823 |
3.2874 |
3.0556 |
2.9013 |
2.7905 |
2.7066 |
2.6408 |
2.5876 |
2.5437 |
| 16 |
4.4940 |
3.6337 |
3.2389 |
3.0069 |
2.8524 |
2.7413 |
2.6572 |
2.5911 |
2.5377 |
2.4935 |
| 17 |
4.4513 |
3.5915 |
3.1968 |
2.9647 |
2.8100 |
2.6987 |
2.6143 |
2.5480 |
2.4943 |
2.4499 |
| 18 |
4.4139 |
3.5546 |
3.1599 |
2.9277 |
2.7729 |
2.6613 |
2.5767 |
2.5102 |
2.4563 |
2.4117 |
| 19 |
4.3807 |
3.5219 |
3.1274 |
2.8951 |
2.7401 |
2.6283 |
2.5435 |
2.4768 |
2.4227 |
2.3779 |
| 20 |
4.3512 |
3.4928 |
3.0984 |
2.8661 |
2.7109 |
2.5990 |
2.5140 |
2.4471 |
2.3928 |
2.3479 |
| 21 |
4.3248 |
3.4668 |
3.0725 |
2.8401 |
2.6848 |
2.5727 |
2.4876 |
2.4205 |
2.3660 |
2.3210 |
| 22 |
4.3009 |
3.4434 |
3.0491 |
2.8167 |
2.6613 |
2.5491 |
2.4638 |
2.3965 |
2.3419 |
2.2967 |
| 23 |
4.2793 |
3.4221 |
3.0280 |
2.7955 |
2.6400 |
2.5277 |
2.4422 |
2.3748 |
2.3201 |
2.2747 |
| 24 |
4.2597 |
3.4028 |
3.0088 |
2.7763 |
2.6207 |
2.5082 |
2.4226 |
2.3551 |
2.3002 |
2.2547 |
| 25 |
4.2417 |
3.3852 |
2.9912 |
2.7587 |
2.6030 |
2.4904 |
2.4047 |
2.3371 |
2.2821 |
2.2365 |
| 26 |
4.2252 |
3.3690 |
2.9752 |
2.7426 |
2.5868 |
2.4741 |
2.3883 |
2.3205 |
2.2655 |
2.2197 |
| 27 |
4.2100 |
3.3541 |
2.9604 |
2.7278 |
2.5719 |
2.4591 |
2.3732 |
2.3053 |
1.7306 |
1.6717 |
| 28 |
4.1960 |
3.3404 |
2.9467 |
2.7141 |
2.5581 |
2.4453 |
2.3593 |
2.2913 |
2.2360 |
2.1900 |
| 29 |
4.1830 |
3.3277 |
2.9340 |
2.7014 |
2.5454 |
2.4324 |
2.3463 |
2.2783 |
2.2229 |
2.1768 |
| 30 |
4.1709 |
3.3158 |
2.9223 |
2.6896 |
2.5336 |
2.4205 |
2.3343 |
2.2662 |
2.2107 |
2.1646 |
| 40 |
4.0847 |
3.2317 |
2.8387 |
2.6060 |
2.4495 |
2.3359 |
2.2490 |
2.1802 |
2.1240 |
2.0772 |
| 60 |
4.0012 |
3.1504 |
2.7581 |
2.5252 |
2.3683 |
2.2541 |
2.1665 |
2.0970 |
2.0401 |
1.9926 |
| 120 |
3.9201 |
3.0718 |
2.6802 |
2.4472 |
2.2899 |
2.1750 |
2.0868 |
2.0164 |
1.9588 |
1.9105 |
| inf |
3.8415 |
2.9957 |
2.6049 |
2.3719 |
2.2141 |
2.0986 |
2.0096 |
1.9384 |
1.8799 |
1.8307 |
| df2 |
12 |
15 |
20 |
24 |
30 |
40 |
60 |
120 |
inf |
| 1 |
243.9060 |
245.9499 |
248.0131 |
249.0518 |
250.0951 |
251.1432 |
252.1957 |
253.2529 |
254.3144 |
| 2 |
19.4125 |
19.4291 |
19.4458 |
19.4541 |
19.4624 |
19.4707 |
19.4791 |
19.4874 |
19.4957 |
| 3 |
8.7446 |
8.7029 |
8.6602 |
8.6385 |
8.6166 |
8.5944 |
8.5720 |
8.5494 |
8.5264 |
| 4 |
5.9117 |
5.8578 |
5.8025 |
5.7744 |
5.7459 |
5.7170 |
5.6877 |
5.6581 |
5.6281 |
| 5 |
4.6777 |
4.6188 |
4.5581 |
4.5272 |
4.4957 |
4.4638 |
4.4314 |
4.3985 |
4.3650 |
| 6 |
3.9999 |
3.9381 |
3.8742 |
3.8415 |
3.8082 |
3.7743 |
3.7398 |
3.7047 |
3.6689 |
| 7 |
3.5747 |
3.5107 |
3.4445 |
3.4105 |
3.3758 |
3.3404 |
3.3043 |
3.2674 |
3.2298 |
| 8 |
3.2839 |
3.2184 |
3.1503 |
3.1152 |
3.0794 |
3.0428 |
3.0053 |
2.9669 |
2.9276 |
| 9 |
3.0729 |
3.0061 |
2.9365 |
2.9005 |
2.8637 |
2.8259 |
2.7872 |
2.7475 |
2.7067 |
| 10 |
2.9130 |
2.8450 |
2.7740 |
2.7372 |
2.6996 |
2.6609 |
2.6211 |
2.5801 |
2.5379 |
| 11 |
2.7876 |
2.7186 |
2.6464 |
2.6090 |
2.5705 |
2.5309 |
2.4901 |
2.4480 |
2.4045 |
| 12 |
2.6866 |
2.6169 |
2.5436 |
2.5055 |
2.4663 |
2.4259 |
2.3842 |
2.3410 |
2.2962 |
| 13 |
2.6037 |
2.5331 |
2.4589 |
2.4202 |
2.3803 |
2.3392 |
2.2966 |
2.2524 |
2.2064 |
| 14 |
2.5342 |
2.4630 |
2.3879 |
2.3487 |
2.3082 |
2.2664 |
2.2229 |
2.1778 |
2.1307 |
| 15 |
2.4753 |
2.4034 |
2.3275 |
2.2878 |
2.2468 |
2.2043 |
2.1601 |
2.1141 |
2.0658 |
| 16 |
2.4247 |
2.3522 |
2.2756 |
2.2354 |
2.1938 |
2.1507 |
2.1058 |
2.0589 |
2.0096 |
| 17 |
2.3807 |
2.3077 |
2.2304 |
2.1898 |
2.1477 |
2.1040 |
2.0584 |
2.0107 |
1.9604 |
| 18 |
2.3421 |
2.2686 |
2.1906 |
2.1497 |
2.1071 |
2.0629 |
2.0166 |
1.9681 |
1.9168 |
| 19 |
2.3080 |
2.2341 |
2.1555 |
2.1141 |
2.0712 |
2.0264 |
1.9795 |
1.9302 |
1.8780 |
| 20 |
2.2776 |
2.2033 |
2.1242 |
2.0825 |
2.0391 |
1.9938 |
1.9464 |
1.8963 |
1.8432 |
| 21 |
2.2504 |
2.1757 |
2.0960 |
2.0540 |
2.0102 |
1.9645 |
1.9165 |
1.8657 |
1.8117 |
| 22 |
2.2258 |
2.1508 |
2.0707 |
2.0283 |
1.9842 |
1.9380 |
1.8894 |
1.8380 |
1.7831 |
| 23 |
2.2036 |
2.1282 |
2.0476 |
2.0050 |
1.9605 |
1.9139 |
1.8648 |
1.8128 |
1.7570 |
| 24 |
2.1834 |
2.1077 |
2.0267 |
1.9838 |
1.9390 |
1.8920 |
1.8424 |
1.7896 |
1.7330 |
| 25 |
2.1649 |
2.0889 |
2.0075 |
1.9643 |
1.9192 |
1.8718 |
1.8217 |
1.7684 |
1.7110 |
| 26 |
2.1479 |
2.0716 |
1.9898 |
1.9464 |
1.9010 |
1.8533 |
1.8027 |
1.7488 |
1.6906 |
| 27 |
2.1323 |
2.0558 |
1.9736 |
1.9299 |
1.8842 |
1.8361 |
1.7851 |
1.7306 |
1.6717 |
| 28 |
2.1179 |
2.0411 |
1.9586 |
1.9147 |
1.8687 |
1.8203 |
1.7689 |
1.7138 |
1.6541 |
| 29 |
2.1045 |
2.0275 |
1.9446 |
1.9005 |
1.8543 |
1.8055 |
1.7537 |
1.6981 |
1.6376 |
| 30 |
2.0921 |
2.0148 |
1.9317 |
1.8874 |
1.8409 |
1.7918 |
1.7396 |
1.6835 |
1.6223 |
| 40 |
2.0035 |
1.9245 |
1.8389 |
1.7929 |
1.7444 |
1.6928 |
1.6373 |
1.5766 |
1.5089 |
| 60 |
1.9174 |
1.8364 |
1.7480 |
1.7001 |
1.6491 |
1.5943 |
1.5343 |
1.4673 |
1.3893 |
| 120 |
1.8337 |
1.7505 |
1.6587 |
1.6084 |
1.5543 |
1.4952 |
1.4290 |
1.3519 |
1.2539 |
| inf |
1.7522 |
1.6664 |
1.5705 |
1.5173 |
1.4591 |
1.3940 |
1.3180 |
1.2214 |
1.0000 |
F Table for alpha=.025
DF1 (see next table below for 12 to ∞)
| df2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 1 |
647.7890 |
799.5000 |
864.1630 |
899.5833 |
921.8479 |
937.1111 |
948.2169 |
956.6562 |
963.2846 |
968.6274 |
| 2 |
38.5063 |
39.0000 |
39.1655 |
39.2484 |
39.2982 |
39.3315 |
39.3552 |
39.3730 |
39.3869 |
39.3980 |
| 3 |
17.4434 |
16.0441 |
15.4392 |
15.1010 |
14.8848 |
14.7347 |
14.6244 |
14.5399 |
14.4731 |
14.4189 |
| 4 |
12.2179 |
10.6491 |
9.9792 |
9.6045 |
9.3645 |
9.1973 |
9.0741 |
8.9796 |
8.9047 |
8.8439 |
| 5 |
10.0070 |
8.4336 |
7.7636 |
7.3879 |
7.1464 |
6.9777 |
6.8531 |
6.7572 |
6.6811 |
6.6192 |
| 6 |
8.8131 |
7.2599 |
6.5988 |
6.2272 |
5.9876 |
5.8198 |
5.6955 |
5.5996 |
5.5234 |
5.4613 |
| 7 |
8.0727 |
6.5415 |
5.8898 |
5.5226 |
5.2852 |
5.1186 |
4.9949 |
4.8993 |
4.8232 |
4.7611 |
| 8 |
7.5709 |
6.0595 |
5.4160 |
5.0526 |
4.8173 |
4.6517 |
4.5286 |
4.4333 |
4.3572 |
4.2951 |
| 9 |
7.2093 |
5.7147 |
5.0781 |
4.7181 |
4.4844 |
4.3197 |
4.1970 |
4.1020 |
4.0260 |
3.9639 |
| 10 |
6.9367 |
5.4564 |
4.8256 |
4.4683 |
4.2361 |
4.0721 |
3.9498 |
3.8549 |
3.7790 |
3.7168 |
| 11 |
6.7241 |
5.2559 |
4.6300 |
4.2751 |
4.0440 |
3.8807 |
3.7586 |
3.6638 |
3.5879 |
3.5257 |
| 12 |
6.5538 |
5.0959 |
4.4742 |
4.1212 |
3.8911 |
3.7283 |
3.6065 |
3.5118 |
3.4358 |
3.3736 |
| 13 |
6.4143 |
4.9653 |
4.3472 |
3.9959 |
3.7667 |
3.6043 |
3.4827 |
3.3880 |
3.3120 |
3.2497 |
| 14 |
6.2979 |
4.8567 |
4.2417 |
3.8919 |
3.6634 |
3.5014 |
3.3799 |
3.2853 |
3.2093 |
3.1469 |
| 15 |
6.1995 |
4.7650 |
4.1528 |
3.8043 |
3.5764 |
3.4147 |
3.2934 |
3.1987 |
3.1227 |
3.0602 |
| 16 |
6.1151 |
4.6867 |
4.0768 |
3.7294 |
3.5021 |
3.3406 |
3.2194 |
3.1248 |
3.0488 |
2.9862 |
| 17 |
6.0420 |
4.6189 |
4.0112 |
3.6648 |
3.4379 |
3.2767 |
3.1556 |
3.0610 |
2.9849 |
2.9222 |
| 18 |
5.9781 |
4.5597 |
3.9539 |
3.6083 |
3.3820 |
3.2209 |
3.0999 |
3.0053 |
2.9291 |
2.8664 |
| 19 |
5.9216 |
4.5075 |
3.9034 |
3.5587 |
3.3327 |
3.1718 |
3.0509 |
2.9563 |
2.8801 |
2.8172 |
| 20 |
5.8715 |
4.4613 |
3.8587 |
3.5147 |
3.2891 |
3.1283 |
3.0074 |
2.9128 |
2.8365 |
2.7737 |
| 21 |
5.8266 |
4.4199 |
3.8188 |
3.4754 |
3.2501 |
3.0895 |
2.9686 |
2.8740 |
2.7977 |
2.7348 |
| 22 |
5.7863 |
4.3828 |
3.7829 |
3.4401 |
3.2151 |
3.0546 |
2.9338 |
2.8392 |
2.7628 |
2.6998 |
| 23 |
5.7498 |
4.3492 |
3.7505 |
3.4083 |
3.1835 |
3.0232 |
2.9023 |
2.8077 |
2.7313 |
2.6682 |
| 24 |
5.7166 |
4.3187 |
3.7211 |
3.3794 |
3.1548 |
2.9946 |
2.8738 |
2.7791 |
2.7027 |
2.6396 |
| 25 |
5.6864 |
4.2909 |
3.6943 |
3.3530 |
3.1287 |
2.9685 |
2.8478 |
2.7531 |
2.6766 |
2.6135 |
| 26 |
5.6586 |
4.2655 |
3.6697 |
3.3289 |
3.1048 |
2.9447 |
2.8240 |
2.7293 |
2.6528 |
1.878 |
| 27 |
5.6331 |
4.2421 |
3.6472 |
3.3067 |
3.0828 |
2.9228 |
2.8021 |
2.7074 |
2.6309 |
2.5676 |
| 28 |
5.6096 |
4.2205 |
3.6264 |
3.2863 |
3.0626 |
2.9027 |
2.7820 |
2.6872 |
2.6106 |
2.5473 |
| 29 |
5.5878 |
4.2006 |
3.6072 |
3.2674 |
3.0438 |
2.8840 |
2.7633 |
2.6686 |
2.5919 |
2.5286 |
| 30 |
5.5675 |
4.1821 |
3.5894 |
3.2499 |
3.0265 |
2.8667 |
2.7460 |
2.6513 |
2.5746 |
2.5112 |
| 40 |
5.4239 |
4.0510 |
3.4633 |
3.1261 |
2.9037 |
2.7444 |
2.6238 |
2.5289 |
2.4519 |
2.3882 |
| 60 |
5.2856 |
3.9253 |
3.3425 |
3.0077 |
2.7863 |
2.6274 |
2.5068 |
2.4117 |
2.3344 |
2.2702 |
| 120 |
5.1523 |
3.8046 |
3.2269 |
2.8943 |
2.6740 |
2.5154 |
2.3948 |
2.2994 |
2.2217 |
2.1570 |
| inf |
5.0239 |
3.6889 |
3.1161 |
2.7858 |
2.5665 |
2.4082 |
2.2875 |
2.1918 |
2.1136 |
2.0483 |
| df2 |
12 |
15 |
20 |
24 |
30 |
40 |
60 |
120 |
inf |
| 1 |
976.7079 |
984.8668 |
993.1028 |
997.2492 |
1001.414 |
1005.598 |
1009.800 |
1014.020 |
1018.258 |
| 2 |
39.4146 |
39.4313 |
39.4479 |
39.4562 |
39.465 |
39.473 |
39.481 |
39.490 |
39.498 |
| 3 |
14.3366 |
14.2527 |
14.1674 |
14.1241 |
14.081 |
14.037 |
13.992 |
13.947 |
13.902 |
| 4 |
8.7512 |
8.6565 |
8.5599 |
8.5109 |
8.461 |
8.411 |
8.360 |
8.309 |
8.257 |
| 5 |
6.5245 |
6.4277 |
6.3286 |
6.2780 |
6.227 |
6.175 |
6.123 |
6.069 |
6.015 |
| 6 |
5.3662 |
5.2687 |
5.1684 |
5.1172 |
5.065 |
5.012 |
4.959 |
4.904 |
4.849 |
| 7 |
4.6658 |
4.5678 |
4.4667 |
4.4150 |
4.362 |
4.309 |
4.254 |
4.199 |
4.142 |
| 8 |
4.1997 |
4.1012 |
3.9995 |
3.9472 |
3.894 |
3.840 |
3.784 |
3.728 |
3.670 |
| 9 |
3.8682 |
3.7694 |
3.6669 |
3.6142 |
3.560 |
3.505 |
3.449 |
3.392 |
3.333 |
| 10 |
3.6209 |
3.5217 |
3.4185 |
3.3654 |
3.311 |
3.255 |
3.198 |
3.140 |
3.080 |
| 11 |
3.4296 |
3.3299 |
3.2261 |
3.1725 |
3.118 |
3.061 |
3.004 |
2.944 |
2.883 |
| 12 |
3.2773 |
3.1772 |
3.0728 |
3.0187 |
2.963 |
2.906 |
2.848 |
2.787 |
2.725 |
| 13 |
3.1532 |
3.0527 |
2.9477 |
2.8932 |
2.837 |
2.780 |
2.720 |
2.659 |
2.595 |
| 14 |
3.0502 |
2.9493 |
2.8437 |
2.7888 |
2.732 |
2.674 |
2.614 |
2.552 |
2.487 |
| 15 |
2.9633 |
2.8621 |
2.7559 |
2.7006 |
2.644 |
2.585 |
2.524 |
2.461 |
2.395 |
| 16 |
2.8890 |
2.7875 |
2.6808 |
2.6252 |
2.568 |
2.509 |
2.447 |
2.383 |
2.316 |
| 17 |
2.8249 |
2.7230 |
2.6158 |
2.5598 |
2.502 |
2.442 |
2.380 |
2.315 |
2.247 |
| 18 |
2.7689 |
2.6667 |
2.5590 |
2.5027 |
2.445 |
2.384 |
2.321 |
2.256 |
2.187 |
| 19 |
2.7196 |
2.6171 |
2.5089 |
2.4523 |
2.394 |
2.333 |
2.270 |
2.203 |
2.133 |
| 20 |
2.6758 |
2.5731 |
2.4645 |
2.4076 |
2.349 |
2.287 |
2.223 |
2.156 |
2.085 |
| 21 |
2.6368 |
2.5338 |
2.4247 |
2.3675 |
2.308 |
2.246 |
2.182 |
2.114 |
2.042 |
| 22 |
2.6017 |
2.4984 |
2.3890 |
2.3315 |
2.272 |
2.210 |
2.145 |
2.076 |
2.003 |
| 23 |
2.5699 |
2.4665 |
2.3567 |
2.2989 |
2.239 |
2.176 |
2.111 |
2.041 |
1.968 |
| 24 |
2.5411 |
2.4374 |
2.3273 |
2.2693 |
2.209 |
2.146 |
2.080 |
2.010 |
1.935 |
| 25 |
2.5149 |
2.4110 |
2.3005 |
2.2422 |
2.182 |
2.118 |
2.052 |
1.981 |
1.906 |
| 26 |
2.4908 |
2.3867 |
2.2759 |
2.2174 |
2.157 |
2.093 |
2.026 |
1.954 |
1.878 |
| 27 |
2.4688 |
2.3644 |
2.2533 |
2.1946 |
2.133 |
2.069 |
2.002 |
1.930 |
1.853 |
| 28 |
2.4484 |
2.3438 |
2.2324 |
2.1735 |
2.112 |
2.048 |
1.980 |
1.907 |
1.829 |
| 29 |
2.4295 |
2.3248 |
2.2131 |
2.1540 |
2.092 |
2.028 |
1.959 |
1.886 |
1.807 |
| 30 |
2.4120 |
2.3072 |
2.1952 |
2.1359 |
2.074 |
2.009 |
1.940 |
1.866 |
1.787 |
| 40 |
2.2882 |
2.1819 |
2.0677 |
2.0069 |
1.943 |
1.875 |
1.803 |
1.724 |
1.637 |
| 60 |
2.1692 |
2.0613 |
1.9445 |
1.8817 |
1.815 |
1.744 |
1.667 |
1.581 |
1.482 |
| 120 |
2.0548 |
1.9450 |
1.8249 |
1.7597 |
1.690 |
1.614 |
1.530 |
1.433 |
1.310 |
| inf |
1.9447 |
1.8326 |
1.7085 |
1.6402 |
1.566 |
1.484 |
1.388 |
1.268 |
1.000 |
F Table for alpha =.01
DF1 (see next table below for 12 to ∞)
| df2 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
| 1 |
647.7890 |
799.5000 |
864.1630 |
899.5833 |
921.8479 |
937.1111 |
948.2169 |
956.6562 |
963.2846 |
968.6274 |
| 2 |
38.5063 |
39.0000 |
39.1655 |
39.2484 |
39.2982 |
39.3315 |
39.3552 |
39.3730 |
39.3869 |
39.3980 |
| 3 |
17.4434 |
16.0441 |
15.4392 |
15.1010 |
14.8848 |
14.7347 |
14.6244 |
14.5399 |
14.4731 |
14.4189 |
| 4 |
12.2179 |
10.6491 |
9.9792 |
9.6045 |
9.3645 |
9.1973 |
9.0741 |
8.9796 |
8.9047 |
8.8439 |
| 5 |
10.0070 |
8.4336 |
7.7636 |
7.3879 |
7.1464 |
6.9777 |
6.8531 |
6.7572 |
6.6811 |
6.6192 |
| 6 |
8.8131 |
7.2599 |
6.5988 |
6.2272 |
5.9876 |
5.8198 |
5.6955 |
5.5996 |
5.5234 |
5.4613 |
| 7 |
8.0727 |
6.5415 |
5.8898 |
5.5226 |
5.2852 |
5.1186 |
4.9949 |
4.8993 |
4.8232 |
4.7611 |
| 8 |
7.5709 |
6.0595 |
5.4160 |
5.0526 |
4.8173 |
4.6517 |
4.5286 |
4.4333 |
4.3572 |
4.2951 |
| 9 |
7.2093 |
5.7147 |
5.0781 |
4.7181 |
4.4844 |
4.3197 |
4.1970 |
4.1020 |
4.0260 |
3.9639 |
| 10 |
6.9367 |
5.4564 |
4.8256 |
4.4683 |
4.2361 |
4.0721 |
3.9498 |
3.8549 |
3.7790 |
3.7168 |
| 11 |
6.7241 |
5.2559 |
4.6300 |
4.2751 |
4.0440 |
3.8807 |
3.7586 |
3.6638 |
3.5879 |
3.5257 |
| 12 |
6.5538 |
5.0959 |
4.4742 |
4.1212 |
3.8911 |
3.7283 |
3.6065 |
3.5118 |
3.4358 |
3.3736 |
| 13 |
6.4143 |
4.9653 |
4.3472 |
3.9959 |
3.7667 |
3.6043 |
3.4827 |
3.3880 |
3.3120 |
3.2497 |
| 14 |
6.2979 |
4.8567 |
4.2417 |
3.8919 |
3.6634 |
3.5014 |
3.3799 |
3.2853 |
3.2093 |
3.1469 |
| 15 |
6.1995 |
4.7650 |
4.1528 |
3.8043 |
3.5764 |
3.4147 |
3.2934 |
3.1987 |
3.1227 |
3.0602 |
| 16 |
6.1151 |
4.6867 |
4.0768 |
3.7294 |
3.5021 |
3.3406 |
3.2194 |
3.1248 |
3.0488 |
2.9862 |
| 17 |
6.0420 |
4.6189 |
4.0112 |
3.6648 |
3.4379 |
3.2767 |
3.1556 |
3.0610 |
2.9849 |
2.9222 |
| 18 |
5.9781 |
4.5597 |
3.9539 |
3.6083 |
3.3820 |
3.2209 |
3.0999 |
3.0053 |
2.9291 |
2.8664 |
| 19 |
5.9216 |
4.5075 |
3.9034 |
3.5587 |
3.3327 |
3.1718 |
3.0509 |
2.9563 |
2.8801 |
2.8172 |
| 20 |
5.8715 |
4.4613 |
3.8587 |
3.5147 |
3.2891 |
3.1283 |
3.0074 |
2.9128 |
2.8365 |
2.7737 |
| 21 |
5.8266 |
4.4199 |
3.8188 |
3.4754 |
3.2501 |
3.0895 |
2.9686 |
2.8740 |
2.7977 |
2.7348 |
| 22 |
5.7863 |
4.3828 |
3.7829 |
3.4401 |
3.2151 |
3.0546 |
2.9338 |
2.8392 |
2.7628 |
2.6998 |
| 23 |
5.7498 |
4.3492 |
3.7505 |
3.4083 |
3.1835 |
3.0232 |
2.9023 |
2.8077 |
2.7313 |
2.6682 |
| 24 |
5.7166 |
4.3187 |
3.7211 |
3.3794 |
3.1548 |
2.9946 |
2.8738 |
2.7791 |
2.7027 |
2.6396 |
| 25 |
5.6864 |
4.2909 |
3.6943 |
3.3530 |
3.1287 |
2.9685 |
2.8478 |
2.7531 |
2.6766 |
2.6135 |
| 26 |
5.6586 |
4.2655 |
3.6697 |
3.3289 |
3.1048 |
2.9447 |
2.8240 |
2.7293 |
2.6528 |
1.878 |
| 27 |
5.6331 |
4.2421 |
3.6472 |
3.3067 |
3.0828 |
2.9228 |
2.8021 |
2.7074 |
2.6309 |
2.5676 |
| 28 |
5.6096 |
4.2205 |
3.6264 |
3.2863 |
3.0626 |
2.9027 |
2.7820 |
2.6872 |
2.6106 |
2.5473 |
| 29 |
5.5878 |
4.2006 |
3.6072 |
3.2674 |
3.0438 |
2.8840 |
2.7633 |
2.6686 |
2.5919 |
2.5286 |
| 30 |
5.5675 |
4.1821 |
3.5894 |
3.2499 |
3.0265 |
2.8667 |
2.7460 |
2.6513 |
2.5746 |
2.5112 |
| 40 |
5.4239 |
4.0510 |
3.4633 |
3.1261 |
2.9037 |
2.7444 |
2.6238 |
2.5289 |
2.4519 |
2.3882 |
| 60 |
5.2856 |
3.9253 |
3.3425 |
3.0077 |
2.7863 |
2.6274 |
2.5068 |
2.4117 |
2.3344 |
2.2702 |
| 120 |
5.1523 |
3.8046 |
3.2269 |
2.8943 |
2.6740 |
2.5154 |
2.3948 |
2.2994 |
2.2217 |
2.1570 |
| inf |
5.0239 |
3.6889 |
3.1161 |
2.7858 |
2.5665 |
2.4082 |
2.2875 |
2.1918 |
2.1136 |
2.0483 |
| df2 |
12 |
15 |
20 |
24 |
30 |
40 |
60 |
120 |
inf |
| 1 |
976.7079 |
984.8668 |
993.1028 |
997.2492 |
1001.414 |
1005.598 |
1009.800 |
1014.020 |
1018.258 |
| 2 |
39.4146 |
39.4313 |
39.4479 |
39.4562 |
39.465 |
39.473 |
39.481 |
39.490 |
39.498 |
| 3 |
14.3366 |
14.2527 |
14.1674 |
14.1241 |
14.081 |
14.037 |
13.992 |
13.947 |
13.902 |
| 4 |
8.7512 |
8.6565 |
8.5599 |
8.5109 |
8.461 |
8.411 |
8.360 |
8.309 |
8.257 |
| 5 |
6.5245 |
6.4277 |
6.3286 |
6.2780 |
6.227 |
6.175 |
6.123 |
6.069 |
6.015 |
| 6 |
5.3662 |
5.2687 |
5.1684 |
5.1172 |
5.065 |
5.012 |
4.959 |
4.904 |
4.849 |
| 7 |
4.6658 |
4.5678 |
4.4667 |
4.4150 |
4.362 |
4.309 |
4.254 |
4.199 |
4.142 |
| 8 |
4.1997 |
4.1012 |
3.9995 |
3.9472 |
3.894 |
3.840 |
3.784 |
3.728 |
3.670 |
| 9 |
3.8682 |
3.7694 |
3.6669 |
3.6142 |
3.560 |
3.505 |
3.449 |
3.392 |
3.333 |
| 10 |
3.6209 |
3.5217 |
3.4185 |
3.3654 |
3.311 |
3.255 |
3.198 |
3.140 |
3.080 |
| 11 |
3.4296 |
3.3299 |
3.2261 |
3.1725 |
3.118 |
3.061 |
3.004 |
2.944 |
2.883 |
| 12 |
3.2773 |
3.1772 |
3.0728 |
3.0187 |
2.963 |
2.906 |
2.848 |
2.787 |
2.725 |
| 13 |
3.1532 |
3.0527 |
2.9477 |
2.8932 |
2.837 |
2.780 |
2.720 |
2.659 |
2.595 |
| 14 |
3.0502 |
2.9493 |
2.8437 |
2.7888 |
2.732 |
2.674 |
2.614 |
2.552 |
2.487 |
| 15 |
2.9633 |
2.8621 |
2.7559 |
2.7006 |
2.644 |
2.585 |
2.524 |
2.461 |
2.395 |
| 16 |
2.8890 |
2.7875 |
2.6808 |
2.6252 |
2.568 |
2.509 |
2.447 |
2.383 |
2.316 |
| 17 |
2.8249 |
2.7230 |
2.6158 |
2.5598 |
2.502 |
2.442 |
2.380 |
2.315 |
2.247 |
| 18 |
2.7689 |
2.6667 |
2.5590 |
2.5027 |
2.445 |
2.384 |
2.321 |
2.256 |
2.187 |
| 19 |
2.7196 |
2.6171 |
2.5089 |
2.4523 |
2.394 |
2.333 |
2.270 |
2.203 |
2.133 |
| 20 |
2.6758 |
2.5731 |
2.4645 |
2.4076 |
2.349 |
2.287 |
2.223 |
2.156 |
2.085 |
| 21 |
2.6368 |
2.5338 |
2.4247 |
2.3675 |
2.308 |
2.246 |
2.182 |
2.114 |
2.042 |
| 22 |
2.6017 |
2.4984 |
2.3890 |
2.3315 |
2.272 |
2.210 |
2.145 |
2.076 |
2.003 |
| 23 |
2.5699 |
2.4665 |
2.3567 |
2.2989 |
2.239 |
2.176 |
2.111 |
2.041 |
1.968 |
| 24 |
2.5411 |
2.4374 |
2.3273 |
2.2693 |
2.209 |
2.146 |
2.080 |
2.010 |
1.935 |
| 25 |
2.5149 |
2.4110 |
2.3005 |
2.2422 |
2.182 |
2.118 |
2.052 |
1.981 |
1.906 |
| 26 |
2.4908 |
2.3867 |
2.2759 |
2.2174 |
2.157 |
2.093 |
2.026 |
1.954 |
1.878 |
| 27 |
2.4688 |
2.3644 |
2.2533 |
2.1946 |
2.133 |
2.069 |
2.002 |
1.930 |
1.853 |
| 28 |
2.4484 |
2.3438 |
2.2324 |
2.1735 |
2.112 |
2.048 |
1.980 |
1.907 |
1.829 |
| 29 |
2.4295 |
2.3248 |
2.2131 |
2.1540 |
2.092 |
2.028 |
1.959 |
1.886 |
1.807 |
| 30 |
2.4120 |
2.3072 |
2.1952 |
2.1359 |
2.074 |
2.009 |
1.940 |
1.866 |
1.787 |
| 40 |
2.2882 |
2.1819 |
2.0677 |
2.0069 |
1.943 |
1.875 |
1.803 |
1.724 |
1.637 |
| 60 |
2.1692 |
2.0613 |
1.9445 |
1.8817 |
1.815 |
1.744 |
1.667 |
1.581 |
1.482 |
| 120 |
2.0548 |
1.9450 |
1.8249 |
1.7597 |
1.690 |
1.614 |
1.530 |
1.433 |
1.310 |
| inf |
1.9447 |
1.8326 |
1.7085 |
1.6402 |
1.566 |
1.484 |
1.388 |
1.268 |
1.000 |
