# Find Critical Value of F for F-Test

Fisher's F-distribution table & how to use instructions to quickly find the critical value of F at a stated level of significance (α = 1%, 2.5%, 5%, 10% & 95% or α = 0.01, 0.025, 0.5, 0.1 & 0.95) for the test of hypothesis in statistics & probability surveys or experiments to analyze two or more variances simultaneously. The degrees of freedom is used to refer the F-table values for the specified level of significance such as 1%, 2%, 3%, 5%, 10% etc. It's generally represented by Fe. Critical value of F from t-distribution table represents the rejection area of distribution. The estimated value of F or F-statistic (F0) is compared with the critical value of F from F-distribution table to check the significance of results. For locating the Fe (critical value of F) in the table quickly, users can supply the values of degrees of freedom (df) and significance level (α) directly in the above interface. This F-table to find the critical value of F is also available in pdf format too, users may download this table in pdf format to refer it later offline.

m value :
n value :
Significance (α) :

F Distribution Table at α = 0.01 or 1%
mn 1 2 3 4 5 6 7 8 9 10
1  4069.7377  4999.5  5403.2423  5624.5833  5764.2278  5921.8678  6401.986  6998.7855  7359.9293  7557.6008
2  98.6873  99  99.1663  99.2494  99.3118  102.4074  125.3596  167.2267  199.1671  212.3226
3  34.1509  30.8165  29.4567  28.7099  28.2383  28.2052  29.8751  32.2623  33.5745  33.9781
4  21.2076  18  16.6944  15.977  15.5222  15.2788  15.4921  15.8623  16.0106  15.9985
5  16.2587  13.2739  12.06  11.3919  10.9671  10.6993  10.6456  10.6725  10.6402  10.5685

6  13.7404  10.9248  9.7795  9.1483  8.746  8.4791  8.3496  8.28  8.1995  8.1137
7  12.2382  9.5466  8.4513  7.8466  7.4605  7.1987  7.0421  6.9371  6.8399  6.7501
8  11.2476  8.6491  7.591  7.0061  6.6318  6.3753  6.2078  6.0876  5.9837  5.8927
9  10.5481  8.0215  6.9919  6.4221  6.057  5.8049  5.6329  5.5056  5.3987  5.3075
10  10.0289  7.5594  6.5523  5.9943  5.6363  5.3881  5.2142  5.0834  4.9752  4.8842

11  9.6287  7.2057  6.2167  5.6683  5.316  5.071  4.8966  4.7639  4.6552  4.5645
12  9.3112  6.9266  5.9525  5.412  5.0644  4.822  4.6476  4.514  4.4052  4.3148
13  9.0531  6.701  5.7394  5.2053  4.8616  4.6216  4.4475  4.3135  4.2047  4.1147
14  8.8393  6.5149  5.5639  5.0354  4.695  4.4568  4.2833  4.1492  4.0405  3.9508
15  8.6594  6.3589  5.417  4.8932  4.5556  4.3192  4.1461  4.0121  3.9036  3.8141

16  8.5058  6.2262  5.2922  4.7726  4.4374  4.2025  4.0299  3.896  3.7877  3.6985
17  8.3732  6.1121  5.185  4.669  4.3359  4.1023  3.9303  3.7966  3.6885  3.5994
18  8.2575  6.0129  5.0919  4.579  4.2479  4.0153  3.8439  3.7103  3.6024  3.5135
19  8.1557  5.9259  5.0103  4.5003  4.1708  3.9392  3.7682  3.6349  3.5272  3.4385
20  8.0654  5.8489  4.9382  4.4307  4.1027  3.8721  3.7015  3.5684  3.4609  3.3723

21  7.9848  5.7804  4.874  4.3688  4.0421  3.8123  3.6422  3.5093  3.4019  3.3135
22  7.9124  5.719  4.8166  4.3134  3.988  3.7589  3.5891  3.4565  3.3492  3.2609
23  7.8469  5.6637  4.7649  4.2636  3.9392  3.7108  3.5414  3.4089  3.3018  3.2136
24  7.7875  5.6136  4.7181  4.2184  3.8951  3.6673  3.4982  3.3659  3.259  3.1708
25  7.7333  5.568  4.6755  4.1774  3.855  3.6277  3.459  3.3269  3.22  3.132

## How to Find Critical Region in F-Test

Users may use this below F-table calculator or refer the rows & columns value of t-distribution table for a stated level of significance to find the critical region of F-distribution.
by Using Calculator
Supply or select the values of degrees of freedom (df) m & n, and significance level (α) directly to the F-table calculator and hit on "LOCATE" to address the corresponding critical value of F.

by Using F-Distribution Table
Refer the row & column meeting point of m & n degrees of freedom at a specified level of significance (α = α = 1%, 2%, 3%, 4%, 5%, 10%, 25%, 5% etc or α = 0.01, 0.02, 0.03, 0.04, 0.05, 0.1, 0.25, 0.5 etc). The point where the row & column meets for the corresponding input value is the critical value of F or the rejection area of F-distribution.

## Inference

The below statements show when to accept or reject null hypothesis H0 in F-test

For null hypothesis H0 :
If F0 < Fe then the null hypothesis H0 is accepted.
It states that there is no significance difference between F-statistic & expected value of F.

If F0 > Fe then the null hypothesis H0 is rejected.
It states that there is significance difference between F-statistic & expected value of F.