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F distribution table

The F distribution is used, for example, in the interpretation of an ANOVA. The F-distribution results from the quotient of two chi-square distributions which are divided by the respective degrees of freedom.

Here you can either calculate the critical F-value or the p-value with given degrees of freedom. You can also read the critical F-value for a given alpha level in the tables below.

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Table for F distribution 0.95 (a=0.05)

The following table shows the inverse distribution function of the F-distribution for (1-a) = 0.95. On the axes you will find the degrees of freedom of the numerator and denominator.

df2\df1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 161.448199.5215.707224.583230.162233.986236.768238.883240.543241.882242.983243.906244.69245.364245.95
2 18.5131919.16419.24719.29619.3319.35319.37119.38519.39619.40519.41319.41919.42419.429
3 10.1289.5529.2779.1179.0138.9418.8878.8458.8128.7868.7638.7458.7298.7158.703
4 7.7096.9446.5916.3886.2566.1636.0946.0415.9995.9645.9365.9125.8915.8735.858
5 6.6085.7865.4095.1925.054.954.8764.8184.7724.7354.7044.6784.6554.6364.619
6 5.9875.1434.7574.5344.3874.2844.2074.1474.0994.064.02743.9763.9563.938
7 5.5914.7374.3474.123.9723.8663.7873.7263.6773.6373.6033.5753.553.5293.511
8 5.3184.4594.0663.8383.6873.5813.53.4383.3883.3473.3133.2843.2593.2373.218
9 5.1174.2563.8633.6333.4823.3743.2933.233.1793.1373.1023.0733.0483.0253.006
10 4.9654.1033.7083.4783.3263.2173.1353.0723.022.9782.9432.9132.8872.8652.845
11 4.8443.9823.5873.3573.2043.0953.0122.9482.8962.8542.8182.7882.7612.7392.719
12 4.7473.8853.493.2593.1062.9962.9132.8492.7962.7532.7172.6872.662.6372.617
13 4.6673.8063.4113.1793.0252.9152.8322.7672.7142.6712.6352.6042.5772.5542.533
14 4.63.7393.3443.1122.9582.8482.7642.6992.6462.6022.5652.5342.5072.4842.463
15 4.5433.6823.2873.0562.9012.792.7072.6412.5882.5442.5072.4752.4482.4242.403

Table for F distribution 0.99 (a=0.01)

In this table of the F-distribution you will find the distribution function of the F-distribution for (1-a) = 0.99. On the axes you will find the degrees of freedom of the numerator and denominator.

df2\df1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1 4,052.1814,999.55,403.3525,624.5835,763.655,858.9865,928.3565,981.076,022.4736,055.8476,083.3176,106.3216,125.8656,142.6746,157.285
2 98.5039999.16699.24999.29999.33399.35699.37499.38899.39999.40899.41699.42299.42899.433
3 34.11630.81729.45728.7128.23727.91127.67227.48927.34527.22927.13327.05226.98326.92426.872
4 21.1981816.69415.97715.52215.20714.97614.79914.65914.54614.45214.37414.30714.24914.198
5 16.25813.27412.0611.39210.96710.67210.45610.28910.15810.0519.9639.8889.8259.779.722
6 13.74510.9259.789.1488.7468.4668.268.1027.9767.8747.797.7187.6577.6057.559
7 12.2469.5478.4517.8477.467.1916.9936.846.7196.626.5386.4696.416.3596.314
8 11.2598.6497.5917.0066.6326.3716.1786.0295.9115.8145.7345.6675.6095.5595.515
9 10.5618.0226.9926.4226.0575.8025.6135.4675.3515.2575.1785.1115.0555.0054.962
10 10.0447.5596.5525.9945.6365.3865.25.0574.9424.8494.7724.7064.654.6014.558
11 9.6467.2066.2175.6685.3165.0694.8864.7444.6324.5394.4624.3974.3424.2934.251
12 9.336.9275.9535.4125.0644.8214.644.4994.3884.2964.224.1554.14.0524.01
13 9.0746.7015.7395.2054.8624.624.4414.3024.1914.14.0253.963.9053.8573.815
14 8.8626.5155.5645.0354.6954.4564.2784.144.033.9393.8643.83.7453.6983.656
15 8.6836.3595.4174.8934.5564.3184.1424.0043.8953.8053.733.6663.6123.5643.522

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Cite DATAtab: DATAtab Team (2024). DATAtab: Online Statistics Calculator. DATAtab e.U. Graz, Austria. URL https://datatab.net

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