Home > Statistical Methods calculators > F Distribution Table calculator


Method
 
F Distribution
Degree of freedom 1 (numerator) =
Degree of freedom 2 (Denominator) =
p-value = Or f-value =
p-value type :
Answer

If p-value = 0.05 then f-value=19.1643

If f-value = 19.16 then p-value=0.05
 

 
F Distribution table

Numerator Degree of freedom
Denominator Degree of freedom Area in upper tail 1 2 3 4 5 6 7 8 9 10 15 20 25 30 40 60 100 1000
1 0.10 39.8635 49.5000 53.5932 55.8330 57.2401 58.2044 58.9060 59.4390 59.8576 60.1950 61.2203 61.7403 62.0545 62.2650 62.5291 62.7943 63.0073 63.2960
1 0.05 161.4476 199.5000 215.7073 224.5832 230.1619 233.9860 236.7684 238.8827 240.5433 241.8817 245.9499 248.0131 249.2601 250.0951 251.1432 252.1957 253.0411 254.1868
1 0.025 647.7890 799.5000 864.1630 899.5833 921.8479 937.1111 948.2169 956.6562 963.2846 968.6274 984.8668 993.1028 998.0808 1001.4144 1005.5981 1009.8001 1013.1748 1017.7488
1 0.01 4052.1807 4999.5000 5403.3520 5624.5833 5763.6496 5858.9861 5928.3557 5981.0703 6022.4732 6055.8467 6157.2846 6208.7302 6239.8251 6260.6486 6286.7821 6313.0301 6334.1100 6362.6817
2 0.10 8.5263 9.0000 9.1618 9.2434 9.2926 9.3255 9.3491 9.3668 9.3805 9.3916 9.4247 9.4413 9.4513 9.4579 9.4662 9.4746 9.4812 9.4902
2 0.05 18.5128 19.0000 19.1643 19.2468 19.2964 19.3295 19.3532 19.3710 19.3848 19.3959 19.4291 19.4458 19.4558 19.4624 19.4707 19.4791 19.4857 19.4947
2 0.025 38.5063 39.0000 39.1655 39.2484 39.2982 39.3315 39.3552 39.3730 39.3869 39.3980 39.4313 39.4479 39.4579 39.4646 39.4729 39.4812 39.4879 39.4969
2 0.01 98.5025 99.0000 99.1662 99.2494 99.2993 99.3326 99.3564 99.3742 99.3881 99.3992 99.4325 99.4492 99.4592 99.4658 99.4742 99.4825 99.4892 99.4982
3 0.10 5.5383 5.4624 5.3908 5.3426 5.3092 5.2847 5.2662 5.2517 5.2400 5.2304 5.2003 5.1845 5.1747 5.1681 5.1597 5.1512 5.1443 5.1348
3 0.05 10.1280 9.5521 9.2766 9.1172 9.0135 8.9406 8.8867 8.8452 8.8123 8.7855 8.7029 8.6602 8.6341 8.6166 8.5944 8.5720 8.5539 8.5292
3 0.025 17.4434 16.0441 15.4392 15.1010 14.8848 14.7347 14.6244 14.5399 14.4731 14.4189 14.2527 14.1674 14.1155 14.0805 14.0365 13.9921 13.9563 13.9075
3 0.01 34.1162 30.8165 29.4567 28.7099 28.2371 27.9107 27.6717 27.4892 27.3452 27.2287 26.8722 26.6898 26.5790 26.5045 26.4108 26.3164 26.2402 26.1367
4 0.10 4.5448 4.3246 4.1909 4.1072 4.0506 4.0097 3.9790 3.9549 3.9357 3.9199 3.8704 3.8443 3.8283 3.8174 3.8036 3.7896 3.7782 3.7625
4 0.05 7.7086 6.9443 6.5914 6.3882 6.2561 6.1631 6.0942 6.0410 5.9988 5.9644 5.8578 5.8025 5.7687 5.7459 5.7170 5.6877 5.6641 5.6317
4 0.025 12.2179 10.6491 9.9792 9.6045 9.3645 9.1973 9.0741 8.9796 8.9047 8.8439 8.6565 8.5599 8.5010 8.4613 8.4111 8.3604 8.3195 8.2636
4 0.01 21.1977 18.0000 16.6944 15.9770 15.5219 15.2069 14.9758 14.7989 14.6591 14.5459 14.1982 14.0196 13.9109 13.8377 13.7454 13.6522 13.5770 13.4745
5 0.10 4.0604 3.7797 3.6195 3.5202 3.4530 3.4045 3.3679 3.3393 3.3163 3.2974 3.2380 3.2067 3.1873 3.1741 3.1573 3.1402 3.1263 3.1072
5 0.05 6.6079 5.7861 5.4095 5.1922 5.0503 4.9503 4.8759 4.8183 4.7725 4.7351 4.6188 4.5581 4.5209 4.4957 4.4638 4.4314 4.4051 4.3690
5 0.025 10.0070 8.4336 7.7636 7.3879 7.1464 6.9777 6.8531 6.7572 6.6811 6.6192 6.4277 6.3286 6.2679 6.2269 6.1750 6.1225 6.0800 6.0218
5 0.01 16.2582 13.2739 12.0600 11.3919 10.9670 10.6723 10.4555 10.2893 10.1578 10.0510 9.7222 9.5526 9.4491 9.3793 9.2912 9.2020 9.1299 9.0314
6 0.10 3.7759 3.4633 3.2888 3.1808 3.1075 3.0546 3.0145 2.9830 2.9577 2.9369 2.8712 2.8363 2.8147 2.8000 2.7812 2.7620 2.7463 2.7246
6 0.05 5.9874 5.1433 4.7571 4.5337 4.3874 4.2839 4.2067 4.1468 4.0990 4.0600 3.9381 3.8742 3.8348 3.8082 3.7743 3.7398 3.7117 3.6732
6 0.025 8.8131 7.2599 6.5988 6.2272 5.9876 5.8198 5.6955 5.5996 5.5234 5.4613 5.2687 5.1684 5.1069 5.0652 5.0125 4.9589 4.9154 4.8558
6 0.01 13.7450 10.9248 9.7795 9.1483 8.7459 8.4661 8.2600 8.1017 7.9761 7.8741 7.5590 7.3958 7.2960 7.2285 7.1432 7.0567 6.9867 6.8908
7 0.10 3.5894 3.2574 3.0741 2.9605 2.8833 2.8274 2.7849 2.7516 2.7247 2.7025 2.6322 2.5947 2.5714 2.5555 2.5351 2.5142 2.4971 2.4735
7 0.05 5.5914 4.7374 4.3468 4.1203 3.9715 3.8660 3.7870 3.7257 3.6767 3.6365 3.5107 3.4445 3.4036 3.3758 3.3404 3.3043 3.2749 3.2343
7 0.025 8.0727 6.5415 5.8898 5.5226 5.2852 5.1186 4.9949 4.8993 4.8232 4.7611 4.5678 4.4667 4.4045 4.3624 4.3089 4.2544 4.2101 4.1492
7 0.01 12.2464 9.5466 8.4513 7.8466 7.4604 7.1914 6.9928 6.8400 6.7188 6.6201 6.3143 6.1554 6.0580 5.9920 5.9084 5.8236 5.7547 5.6601
8 0.10 3.4579 3.1131 2.9238 2.8064 2.7264 2.6683 2.6241 2.5893 2.5612 2.5380 2.4642 2.4246 2.3999 2.3830 2.3614 2.3391 2.3208 2.2954
8 0.05 5.3177 4.4590 4.0662 3.8379 3.6875 3.5806 3.5005 3.4381 3.3881 3.3472 3.2184 3.1503 3.1081 3.0794 3.0428 3.0053 2.9747 2.9324
8 0.025 7.5709 6.0595 5.4160 5.0526 4.8173 4.6517 4.5286 4.4333 4.3572 4.2951 4.1012 3.9995 3.9367 3.8940 3.8398 3.7844 3.7393 3.6772
8 0.01 11.2586 8.6491 7.5910 7.0061 6.6318 6.3707 6.1776 6.0289 5.9106 5.8143 5.5151 5.3591 5.2631 5.1981 5.1156 5.0316 4.9633 4.8694
9 0.10 3.3603 3.0065 2.8129 2.6927 2.6106 2.5509 2.5053 2.4694 2.4403 2.4163 2.3396 2.2983 2.2725 2.2547 2.2320 2.2085 2.1892 2.1623
9 0.05 5.1174 4.2565 3.8625 3.6331 3.4817 3.3738 3.2927 3.2296 3.1789 3.1373 3.0061 2.9365 2.8932 2.8637 2.8259 2.7872 2.7556 2.7116
9 0.025 7.2093 5.7147 5.0781 4.7181 4.4844 4.3197 4.1970 4.1020 4.0260 3.9639 3.7694 3.6669 3.6035 3.5604 3.5055 3.4493 3.4034 3.3400
9 0.01 10.5614 8.0215 6.9919 6.4221 6.0569 5.8018 5.6129 5.4671 5.3511 5.2565 4.9621 4.8080 4.7130 4.6486 4.5666 4.4831 4.4150 4.3211
10 0.10 3.2850 2.9245 2.7277 2.6053 2.5216 2.4606 2.4140 2.3772 2.3473 2.3226 2.2435 2.2007 2.1739 2.1554 2.1317 2.1072 2.0869 2.0586
10 0.05 4.9646 4.1028 3.7083 3.4780 3.3258 3.2172 3.1355 3.0717 3.0204 2.9782 2.8450 2.7740 2.7298 2.6996 2.6609 2.6211 2.5884 2.5430
10 0.025 6.9367 5.4564 4.8256 4.4683 4.2361 4.0721 3.9498 3.8549 3.7790 3.7168 3.5217 3.4185 3.3546 3.3110 3.2554 3.1984 3.1517 3.0871
10 0.01 10.0443 7.5594 6.5523 5.9943 5.6363 5.3858 5.2001 5.0567 4.9424 4.8491 4.5581 4.4054 4.3111 4.2469 4.1653 4.0819 4.0137 3.9196
11 0.10 3.2252 2.8595 2.6602 2.5362 2.4512 2.3891 2.3416 2.3040 2.2735 2.2482 2.1671 2.1230 2.0953 2.0762 2.0516 2.0261 2.0050 1.9755
11 0.05 4.8443 3.9823 3.5874 3.3567 3.2039 3.0946 3.0123 2.9480 2.8962 2.8536 2.7186 2.6464 2.6014 2.5705 2.5309 2.4901 2.4566 2.4098
11 0.025 6.7241 5.2559 4.6300 4.2751 4.0440 3.8807 3.7586 3.6638 3.5879 3.5257 3.3299 3.2261 3.1616 3.1176 3.0613 3.0035 2.9561 2.8902
11 0.01 9.6460 7.2057 6.2167 5.6683 5.3160 5.0692 4.8861 4.7445 4.6315 4.5393 4.2509 4.0990 4.0051 3.9411 3.8596 3.7761 3.7077 3.6131
12 0.10 3.1765 2.8068 2.6055 2.4801 2.3940 2.3310 2.2828 2.2446 2.2135 2.1878 2.1049 2.0597 2.0312 2.0115 1.9861 1.9597 1.9379 1.9071
12 0.05 4.7472 3.8853 3.4903 3.2592 3.1059 2.9961 2.9134 2.8486 2.7964 2.7534 2.6169 2.5436 2.4977 2.4663 2.4259 2.3842 2.3498 2.3017
12 0.025 6.5538 5.0959 4.4742 4.1212 3.8911 3.7283 3.6065 3.5118 3.4358 3.3736 3.1772 3.0728 3.0077 2.9633 2.9063 2.8478 2.7996 2.7325
12 0.01 9.3302 6.9266 5.9525 5.4120 5.0643 4.8206 4.6395 4.4994 4.3875 4.2961 4.0096 3.8584 3.7647 3.7008 3.6192 3.5355 3.4668 3.3716
13 0.10 3.1362 2.7632 2.5603 2.4337 2.3467 2.2830 2.2341 2.1953 2.1638 2.1376 2.0532 2.0070 1.9778 1.9576 1.9315 1.9043 1.8817 1.8498
13 0.05 4.6672 3.8056 3.4105 3.1791 3.0254 2.9153 2.8321 2.7669 2.7144 2.6710 2.5331 2.4589 2.4123 2.3803 2.3392 2.2966 2.2614 2.2121
13 0.025 6.4143 4.9653 4.3472 3.9959 3.7667 3.6043 3.4827 3.3880 3.3120 3.2497 3.0527 2.9477 2.8821 2.8372 2.7797 2.7204 2.6715 2.6032
13 0.01 9.0738 6.7010 5.7394 5.2053 4.8616 4.6204 4.4410 4.3021 4.1911 4.1003 3.8154 3.6646 3.5710 3.5070 3.4253 3.3413 3.2723 3.1763
14 0.10 3.1022 2.7265 2.5222 2.3947 2.3069 2.2426 2.1931 2.1539 2.1220 2.0954 2.0095 1.9625 1.9326 1.9119 1.8852 1.8572 1.8340 1.8011
14 0.05 4.6001 3.7389 3.3439 3.1122 2.9582 2.8477 2.7642 2.6987 2.6458 2.6022 2.4630 2.3879 2.3407 2.3082 2.2664 2.2229 2.1870 2.1365
14 0.025 6.2979 4.8567 4.2417 3.8919 3.6634 3.5014 3.3799 3.2853 3.2093 3.1469 2.9493 2.8437 2.7777 2.7324 2.6742 2.6142 2.5646 2.4951
14 0.01 8.8616 6.5149 5.5639 5.0354 4.6950 4.4558 4.2779 4.1399 4.0297 3.9394 3.6557 3.5052 3.4116 3.3476 3.2656 3.1813 3.1118 3.0150
15 0.10 3.0732 2.6952 2.4898 2.3614 2.2730 2.2081 2.1582 2.1185 2.0862 2.0593 1.9722 1.9243 1.8939 1.8728 1.8454 1.8168 1.7929 1.7589
15 0.05 4.5431 3.6823 3.2874 3.0556 2.9013 2.7905 2.7066 2.6408 2.5876 2.5437 2.4034 2.3275 2.2797 2.2468 2.2043 2.1601 2.1234 2.0718
15 0.025 6.1995 4.7650 4.1528 3.8043 3.5764 3.4147 3.2934 3.1987 3.1227 3.0602 2.8621 2.7559 2.6894 2.6437 2.5850 2.5242 2.4739 2.4034
15 0.01 8.6831 6.3589 5.4170 4.8932 4.5556 4.3183 4.1415 4.0045 3.8948 3.8049 3.5222 3.3719 3.2782 3.2141 3.1319 3.0471 2.9772 2.8795
16 0.10 3.0481 2.6682 2.4618 2.3327 2.2438 2.1783 2.1280 2.0880 2.0553 2.0281 1.9399 1.8913 1.8603 1.8388 1.8108 1.7816 1.7570 1.7222
16 0.05 4.4940 3.6337 3.2389 3.0069 2.8524 2.7413 2.6572 2.5911 2.5377 2.4935 2.3522 2.2756 2.2272 2.1938 2.1507 2.1058 2.0685 2.0157
16 0.025 6.1151 4.6867 4.0768 3.7294 3.5021 3.3406 3.2194 3.1248 3.0488 2.9862 2.7875 2.6808 2.6138 2.5678 2.5085 2.4471 2.3961 2.3245
16 0.01 8.5310 6.2262 5.2922 4.7726 4.4374 4.2016 4.0259 3.8896 3.7804 3.6909 3.4089 3.2587 3.1650 3.1007 3.0182 2.9330 2.8627 2.7641
17 0.10 3.0262 2.6446 2.4374 2.3077 2.2183 2.1524 2.1017 2.0613 2.0284 2.0009 1.9117 1.8624 1.8309 1.8090 1.7805 1.7506 1.7255 1.6898
17 0.05 4.4513 3.5915 3.1968 2.9647 2.8100 2.6987 2.6143 2.5480 2.4943 2.4499 2.3077 2.2304 2.1815 2.1477 2.1040 2.0584 2.0204 1.9666
17 0.025 6.0420 4.6189 4.0112 3.6648 3.4379 3.2767 3.1556 3.0610 2.9849 2.9222 2.7230 2.6158 2.5484 2.5020 2.4422 2.3801 2.3285 2.2558
17 0.01 8.3997 6.1121 5.1850 4.6690 4.3359 4.1015 3.9267 3.7910 3.6822 3.5931 3.3117 3.1615 3.0676 3.0032 2.9205 2.8348 2.7639 2.6644
18 0.10 3.0070 2.6239 2.4160 2.2858 2.1958 2.1296 2.0785 2.0379 2.0047 1.9770 1.8868 1.8368 1.8049 1.7827 1.7537 1.7232 1.6976 1.6609
18 0.05 4.4139 3.5546 3.1599 2.9277 2.7729 2.6613 2.5767 2.5102 2.4563 2.4117 2.2686 2.1906 2.1413 2.1071 2.0629 2.0166 1.9780 1.9232
18 0.025 5.9781 4.5597 3.9539 3.6083 3.3820 3.2209 3.0999 3.0053 2.9291 2.8664 2.6667 2.5590 2.4912 2.4445 2.3842 2.3214 2.2692 2.1954
18 0.01 8.2854 6.0129 5.0919 4.5790 4.2479 4.0146 3.8406 3.7054 3.5971 3.5082 3.2273 3.0771 2.9831 2.9185 2.8354 2.7493 2.6779 2.5775
19 0.10 2.9899 2.6056 2.3970 2.2663 2.1760 2.1094 2.0580 2.0171 1.9836 1.9557 1.8647 1.8142 1.7818 1.7592 1.7298 1.6988 1.6726 1.6351
19 0.05 4.3807 3.5219 3.1274 2.8951 2.7401 2.6283 2.5435 2.4768 2.4227 2.3779 2.2341 2.1555 2.1057 2.0712 2.0264 1.9795 1.9403 1.8845
19 0.025 5.9216 4.5075 3.9034 3.5587 3.3327 3.1718 3.0509 2.9563 2.8801 2.8172 2.6171 2.5089 2.4408 2.3937 2.3329 2.2696 2.2167 2.1419
19 0.01 8.1849 5.9259 5.0103 4.5003 4.1708 3.9386 3.7653 3.6305 3.5225 3.4338 3.1533 3.0031 2.9089 2.8442 2.7608 2.6742 2.6023 2.5009
20 0.10 2.9747 2.5893 2.3801 2.2489 2.1582 2.0913 2.0397 1.9985 1.9649 1.9367 1.8449 1.7938 1.7611 1.7382 1.7083 1.6768 1.6501 1.6118
20 0.05 4.3512 3.4928 3.0984 2.8661 2.7109 2.5990 2.5140 2.4471 2.3928 2.3479 2.2033 2.1242 2.0739 2.0391 1.9938 1.9464 1.9066 1.8497
20 0.025 5.8715 4.4613 3.8587 3.5147 3.2891 3.1283 3.0074 2.9128 2.8365 2.7737 2.5731 2.4645 2.3959 2.3486 2.2873 2.2234 2.1699 2.0941
20 0.01 8.0960 5.8489 4.9382 4.4307 4.1027 3.8714 3.6987 3.5644 3.4567 3.3682 3.0880 2.9377 2.8434 2.7785 2.6947 2.6077 2.5353 2.4329
21 0.10 2.9610 2.5746 2.3649 2.2333 2.1423 2.0751 2.0233 1.9819 1.9480 1.9197 1.8271 1.7756 1.7424 1.7193 1.6890 1.6569 1.6298 1.5907
21 0.05 4.3248 3.4668 3.0725 2.8401 2.6848 2.5727 2.4876 2.4205 2.3660 2.3210 2.1757 2.0960 2.0454 2.0102 1.9645 1.9165 1.8761 1.8184
21 0.025 5.8266 4.4199 3.8188 3.4754 3.2501 3.0895 2.9686 2.8740 2.7977 2.7348 2.5338 2.4247 2.3558 2.3082 2.2465 2.1819 2.1280 2.0511
21 0.01 8.0166 5.7804 4.8740 4.3688 4.0421 3.8117 3.6396 3.5056 3.3981 3.3098 3.0300 2.8796 2.7850 2.7200 2.6359 2.5484 2.4755 2.3722
22 0.10 2.9486 2.5613 2.3512 2.2193 2.1279 2.0605 2.0084 1.9668 1.9327 1.9043 1.8111 1.7590 1.7255 1.7021 1.6714 1.6389 1.6113 1.5714
22 0.05 4.3009 3.4434 3.0491 2.8167 2.6613 2.5491 2.4638 2.3965 2.3419 2.2967 2.1508 2.0707 2.0196 1.9842 1.9380 1.8894 1.8486 1.7899
22 0.025 5.7863 4.3828 3.7829 3.4401 3.2151 3.0546 2.9338 2.8392 2.7628 2.6998 2.4984 2.3890 2.3198 2.2718 2.2097 2.1446 2.0901 2.0122
22 0.01 7.9454 5.7190 4.8166 4.3134 3.9880 3.7583 3.5867 3.4530 3.3458 3.2576 2.9779 2.8274 2.7328 2.6675 2.5831 2.4951 2.4217 2.3175
23 0.10 2.9374 2.5493 2.3387 2.2065 2.1149 2.0472 1.9949 1.9531 1.9189 1.8903 1.7964 1.7439 1.7101 1.6864 1.6554 1.6224 1.5944 1.5538
23 0.05 4.2793 3.4221 3.0280 2.7955 2.6400 2.5277 2.4422 2.3748 2.3201 2.2747 2.1282 2.0476 1.9963 1.9605 1.9139 1.8648 1.8234 1.7639
23 0.025 5.7498 4.3492 3.7505 3.4083 3.1835 3.0232 2.9023 2.8077 2.7313 2.6682 2.4665 2.3567 2.2871 2.2389 2.1763 2.1107 2.0557 1.9769
23 0.01 7.8811 5.6637 4.7649 4.2636 3.9392 3.7102 3.5390 3.4057 3.2986 3.2106 2.9311 2.7805 2.6856 2.6202 2.5355 2.4471 2.3732 2.2680
24 0.10 2.9271 2.5383 2.3274 2.1949 2.1030 2.0351 1.9826 1.9407 1.9063 1.8775 1.7831 1.7302 1.6960 1.6721 1.6407 1.6073 1.5788 1.5375
24 0.05 4.2597 3.4028 3.0088 2.7763 2.6207 2.5082 2.4226 2.3551 2.3002 2.2547 2.1077 2.0267 1.9750 1.9390 1.8920 1.8424 1.8005 1.7401
24 0.025 5.7166 4.3187 3.7211 3.3794 3.1548 2.9946 2.8738 2.7791 2.7027 2.6396 2.4374 2.3273 2.2574 2.2090 2.1460 2.0799 2.0243 1.9445
24 0.01 7.8229 5.6136 4.7181 4.2184 3.8951 3.6667 3.4959 3.3629 3.2560 3.1681 2.8887 2.7380 2.6430 2.5773 2.4923 2.4035 2.3291 2.2230
25 0.10 2.9177 2.5283 2.3170 2.1842 2.0922 2.0241 1.9714 1.9292 1.8947 1.8658 1.7708 1.7175 1.6831 1.6589 1.6272 1.5934 1.5645 1.5225
25 0.05 4.2417 3.3852 2.9912 2.7587 2.6030 2.4904 2.4047 2.3371 2.2821 2.2365 2.0889 2.0075 1.9554 1.9192 1.8718 1.8217 1.7794 1.7181
25 0.025 5.6864 4.2909 3.6943 3.3530 3.1287 2.9685 2.8478 2.7531 2.6766 2.6135 2.4110 2.3005 2.2303 2.1816 2.1183 2.0516 1.9955 1.9149
25 0.01 7.7698 5.5680 4.6755 4.1774 3.8550 3.6272 3.4568 3.3239 3.2172 3.1294 2.8502 2.6993 2.6041 2.5383 2.4530 2.3637 2.2888 2.1818
26 0.10 2.9091 2.5191 2.3075 2.1745 2.0822 2.0139 1.9610 1.9188 1.8841 1.8550 1.7596 1.7059 1.6712 1.6468 1.6147 1.5805 1.5513 1.5086
26 0.05 4.2252 3.3690 2.9752 2.7426 2.5868 2.4741 2.3883 2.3205 2.2655 2.2197 2.0716 1.9898 1.9375 1.9010 1.8533 1.8027 1.7599 1.6978
26 0.025 5.6586 4.2655 3.6697 3.3289 3.1048 2.9447 2.8240 2.7293 2.6528 2.5896 2.3867 2.2759 2.2054 2.1565 2.0928 2.0257 1.9691 1.8876
26 0.01 7.7213 5.5263 4.6366 4.1400 3.8183 3.5911 3.4210 3.2884 3.1818 3.0941 2.8150 2.6640 2.5686 2.5026 2.4170 2.3273 2.2519 2.1440
27 0.10 2.9012 2.5106 2.2987 2.1655 2.0730 2.0045 1.9515 1.9091 1.8743 1.8451 1.7492 1.6951 1.6602 1.6356 1.6032 1.5686 1.5390 1.4957
27 0.05 4.2100 3.3541 2.9604 2.7278 2.5719 2.4591 2.3732 2.3053 2.2501 2.2043 2.0558 1.9736 1.9210 1.8842 1.8361 1.7851 1.7419 1.6790
27 0.025 5.6331 4.2421 3.6472 3.3067 3.0828 2.9228 2.8021 2.7074 2.6309 2.5676 2.3644 2.2533 2.1826 2.1334 2.0693 2.0018 1.9447 1.8623
27 0.01 7.6767 5.4881 4.6009 4.1056 3.7848 3.5580 3.3882 3.2558 3.1494 3.0618 2.7827 2.6316 2.5360 2.4699 2.3840 2.2938 2.2180 2.1092
28 0.10 2.8938 2.5028 2.2906 2.1571 2.0645 1.9959 1.9427 1.9001 1.8652 1.8359 1.7395 1.6852 1.6500 1.6252 1.5925 1.5575 1.5276 1.4836
28 0.05 4.1960 3.3404 2.9467 2.7141 2.5581 2.4453 2.3593 2.2913 2.2360 2.1900 2.0411 1.9586 1.9057 1.8687 1.8203 1.7689 1.7251 1.6615
28 0.025 5.6096 4.2205 3.6264 3.2863 3.0626 2.9027 2.7820 2.6872 2.6106 2.5473 2.3438 2.2324 2.1615 2.1121 2.0477 1.9797 1.9221 1.8389
28 0.01 7.6356 5.4529 4.5681 4.0740 3.7539 3.5276 3.3581 3.2259 3.1195 3.0320 2.7530 2.6017 2.5060 2.4397 2.3535 2.2629 2.1867 2.0769
29 0.10 2.8870 2.4955 2.2831 2.1494 2.0566 1.9878 1.9345 1.8918 1.8568 1.8274 1.7306 1.6759 1.6405 1.6155 1.5825 1.5472 1.5169 1.4723
29 0.05 4.1830 3.3277 2.9340 2.7014 2.5454 2.4324 2.3463 2.2783 2.2229 2.1768 2.0275 1.9446 1.8915 1.8543 1.8055 1.7537 1.7096 1.6452
29 0.025 5.5878 4.2006 3.6072 3.2674 3.0438 2.8840 2.7633 2.6686 2.5919 2.5286 2.3248 2.2131 2.1419 2.0923 2.0276 1.9591 1.9011 1.8170
29 0.01 7.5977 5.4204 4.5378 4.0449 3.7254 3.4995 3.3303 3.1982 3.0920 3.0045 2.7256 2.5742 2.4783 2.4118 2.3253 2.2344 2.1577 2.0471
30 0.10 2.8807 2.4887 2.2761 2.1422 2.0492 1.9803 1.9269 1.8841 1.8490 1.8195 1.7223 1.6673 1.6316 1.6065 1.5732 1.5376 1.5069 1.4617
30 0.05 4.1709 3.3158 2.9223 2.6896 2.5336 2.4205 2.3343 2.2662 2.2107 2.1646 2.0148 1.9317 1.8782 1.8409 1.7918 1.7396 1.6950 1.6299
30 0.025 5.5675 4.1821 3.5894 3.2499 3.0265 2.8667 2.7460 2.6513 2.5746 2.5112 2.3072 2.1952 2.1237 2.0739 2.0089 1.9400 1.8816 1.7967
30 0.01 7.5625 5.3903 4.5097 4.0179 3.6990 3.4735 3.3045 3.1726 3.0665 2.9791 2.7002 2.5487 2.4526 2.3860 2.2992 2.2079 2.1307 2.0192
40 0.10 2.8354 2.4404 2.2261 2.0909 1.9968 1.9269 1.8725 1.8289 1.7929 1.7627 1.6624 1.6052 1.5677 1.5411 1.5056 1.4672 1.4336 1.3830
40 0.05 4.0847 3.2317 2.8387 2.6060 2.4495 2.3359 2.2490 2.1802 2.1240 2.0772 1.9245 1.8389 1.7835 1.7444 1.6928 1.6373 1.5892 1.5175
40 0.025 5.4239 4.0510 3.4633 3.1261 2.9037 2.7444 2.6238 2.5289 2.4519 2.3882 2.1819 2.0677 1.9943 1.9429 1.8752 1.8028 1.7405 1.6481
40 0.01 7.3141 5.1785 4.3126 3.8283 3.5138 3.2910 3.1238 2.9930 2.8876 2.8005 2.5216 2.3689 2.2714 2.2034 2.1142 2.0194 1.9383 1.8189
60 0.10 2.7911 2.3933 2.1774 2.0410 1.9457 1.8747 1.8194 1.7748 1.7380 1.7070 1.6034 1.5435 1.5039 1.4755 1.4373 1.3952 1.3576 1.2988
60 0.05 4.0012 3.1504 2.7581 2.5252 2.3683 2.2541 2.1665 2.0970 2.0401 1.9926 1.8364 1.7480 1.6902 1.6491 1.5943 1.5343 1.4814 1.3994
60 0.025 5.2856 3.9253 3.3425 3.0077 2.7863 2.6274 2.5068 2.4117 2.3344 2.2702 2.0613 1.9445 1.8687 1.8152 1.7440 1.6668 1.5990 1.4950
60 0.01 7.0771 4.9774 4.1259 3.6490 3.3389 3.1187 2.9530 2.8233 2.7185 2.6318 2.3523 2.1978 2.0984 2.0285 1.9360 1.8363 1.7493 1.6169
100 0.10 2.7564 2.3564 2.1394 2.0019 1.9057 1.8339 1.7778 1.7324 1.6949 1.6632 1.5566 1.4943 1.4528 1.4227 1.3817 1.3356 1.2934 1.2235
100 0.05 3.9361 3.0873 2.6955 2.4626 2.3053 2.1906 2.1025 2.0323 1.9748 1.9267 1.7675 1.6764 1.6163 1.5733 1.5151 1.4504 1.3917 1.2958
100 0.025 5.1786 3.8284 3.2496 2.9166 2.6961 2.5374 2.4168 2.3215 2.2439 2.1793 1.9679 1.8486 1.7705 1.7148 1.6401 1.5575 1.4833 1.3630
100 0.01 6.8953 4.8239 3.9837 3.5127 3.2059 2.9877 2.8233 2.6943 2.5898 2.5033 2.2230 2.0666 1.9652 1.8933 1.7972 1.6918 1.5977 1.4468
1000 0.10 2.7106 2.3079 2.0893 1.9505 1.8530 1.7800 1.7228 1.6764 1.6378 1.6051 1.4941 1.4280 1.3831 1.3501 1.3040 1.2500 1.1969 1.0845
1000 0.05 3.8508 3.0047 2.6138 2.3808 2.2231 2.1076 2.0187 1.9476 1.8892 1.8402 1.6764 1.5811 1.5171 1.4706 1.4063 1.3318 1.2596 1.1097
1000 0.025 5.0391 3.7025 3.1292 2.7986 2.5792 2.4208 2.3002 2.2045 2.1264 2.0611 1.8459 1.7223 1.6402 1.5808 1.4993 1.4058 1.3158 1.1320
1000 0.01 6.6603 4.6264 3.8012 3.3380 3.0355 2.8200 2.6572 2.5290 2.4250 2.3386 2.0565 1.8967 1.7915 1.7158 1.6127 1.4953 1.3835 1.1586



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