Statistics How To

F Table

f table

Image courtesy The University of Michigan.

The F Table is used to look up F Statistics in hypothesis testing. While it’s more common to use technology like Excel or SPSS to run tests, the F Table can be useful for quickly looking up several different values at once.

F Tables.

 

F Table for alpha=.10

df2/df11234567891012152024304060120inf
139.8634649.5000053.5932455.8329657.2400858.2044258.9059559.4389859.8575960.1949860.7052161.2203461.7402962.0020562.2649762.5290562.7942863.0606463.32812
28.526329.000009.161799.243429.292639.325539.349089.366779.380549.391579.408139.424719.441319.449629.457939.466249.474569.482899.49122
35.538325.462385.390775.342645.309165.284735.266195.251675.240005.230415.215625.200315.184485.176365.168115.159725.151195.142515.13370
44.544774.324564.190864.107254.050584.009753.978973.954943.935673.919883.895533.870363.844343.830993.817423.803613.789573.775273.76073
54.060423.779723.619483.520203.452983.404513.367903.339283.316283.297403.268243.238013.206653.190523.174083.157323.140233.122793.10500
63.775953.463303.288763.180763.107513.054553.014462.983042.957742.936932.904722.871222.836342.818342.799962.781172.761952.742292.72216
73.589433.257443.074072.960532.883342.827392.784932.751582.724682.702512.668112.632232.594732.575332.555462.535102.514222.492792.47079
83.457923.113122.923802.806432.726452.668332.624132.589352.561242.538042.501962.464222.424642.404102.383022.361362.339102.316182.29257
93.360303.006452.812862.692682.610612.550862.505312.469412.440342.416322.378882.339622.298322.276832.254722.231962.208492.184272.15923
103.285022.924472.727672.605342.521642.460582.413972.377152.347312.322602.284052.243512.200742.178432.155432.131692.107162.081762.05542
113.225202.859512.660232.536192.451182.389072.341572.304002.273502.248232.208732.167092.123052.100012.076212.051612.026121.999651.97211
123.176552.806802.605522.480102.394022.331022.282782.244572.213522.187762.147442.104852.059682.035992.011491.986101.959731.932281.90361
133.136212.763172.560272.433712.346722.282982.234102.195352.163822.137632.096592.053162.006981.982721.957571.931471.904291.875911.84620
143.102212.726472.522222.394692.306942.242562.193132.153902.121952.095402.053712.009531.962451.937661.911931.885161.857231.828001.79728
153.073192.695172.489792.361432.273022.208082.158182.118532.086212.059322.017071.972221.924311.899041.872771.845391.816761.786721.75505
163.048112.668172.461812.332742.243762.178332.128002.087982.055332.028151.985391.939921.891271.865561.838791.810841.781561.750751.71817
173.026232.644642.437432.307752.218252.152392.101692.061342.028392.000941.957721.911691.862361.836241.809011.780531.750631.719091.68564
183.006982.623952.416012.285772.195832.129582.078542.037892.004671.976981.933341.886811.836851.810351.782691.753711.723221.690991.65671
192.989902.605612.397022.266302.175962.109362.058022.017101.983641.955731.911701.864711.814161.787311.759241.729791.698761.665871.63077
202.974652.589252.380092.248932.158232.091322.039701.998531.964851.936741.892361.844941.793841.766671.738221.708331.676781.643261.60738
212.960962.574572.364892.233342.142312.075122.023251.981861.947971.919671.874971.827151.775551.748071.719271.688961.656911.622781.58615
222.948582.561312.351172.219272.127942.060502.008401.966801.932731.904251.859251.811061.758991.731221.702081.671381.638851.604151.56678
232.937362.549292.338732.206512.114912.047231.994921.953121.918881.890251.844971.796431.743921.715881.686431.655351.622371.587111.54903
242.927122.538332.327392.194882.103032.035131.982631.940661.906251.877481.831941.783081.730151.701851.672101.640671.607261.571461.53270
252.917742.528312.317022.184242.092162.024061.971381.929251.894691.865781.820001.770831.717521.688981.658951.627181.593351.557031.51760
262.909132.519102.307492.174472.082182.013891.961041.918761.884071.855031.809021.759571.705891.677121.646821.614721.580501.543681.50360
272.901192.510612.298712.165462.072982.004521.951511.909091.874271.845111.798891.749171.695141.666161.635601.603201.568591.531291.49057
282.893852.502762.290602.157142.064471.995851.942701.900141.865201.835931.789511.739541.685191.656001.625191.592501.557531.519761.47841
292.887032.495482.283072.149412.056581.987811.934521.891841.856791.827411.780811.730601.675931.646551.615511.582531.547211.508991.46704
302.880692.488722.276072.142232.049251.980331.926921.884121.848961.819491.772701.722271.667311.637741.606481.573231.537571.498911.45636
402.835352.440372.226092.090951.996821.926881.872521.828861.792901.762691.714561.662411.605151.574111.541081.505621.467161.424761.37691
602.791072.393252.177412.040991.945711.874721.819391.774831.738021.707011.657431.603371.543491.510721.475541.437341.395201.347571.29146
1202.747812.347342.129991.992301.895871.823811.767481.721961.684251.652381.601201.545001.482071.447231.409381.367601.320341.264571.19256
inf2.705542.302592.083801.944861.847271.774111.716721.670201.631521.598721.545781.487141.420601.383181.341871.295131.239951.168601.00000

F Table for alpha=.05

df2/df11234567891012152024304060120inf
1161.4476199.5000215.7073224.5832230.1619233.9860236.7684238.8827240.5433241.8817243.9060245.9499248.0131249.0518250.0951251.1432252.1957253.2529254.3144
218.512819.000019.164319.246819.296419.329519.353219.371019.384819.395919.412519.429119.445819.454119.462419.470719.479119.487419.4957
310.12809.55219.27669.11729.01358.94068.88678.84528.81238.78558.74468.70298.66028.63858.61668.59448.57208.54948.5264
47.70866.94436.59146.38826.25616.16316.09426.04105.99885.96445.91175.85785.80255.77445.74595.71705.68775.65815.6281
56.60795.78615.40955.19225.05034.95034.87594.81834.77254.73514.67774.61884.55814.52724.49574.46384.43144.39854.3650
65.98745.14334.75714.53374.38744.28394.20674.14684.09904.06003.99993.93813.87423.84153.80823.77433.73983.70473.6689
75.59144.73744.34684.12033.97153.86603.78703.72573.67673.63653.57473.51073.44453.41053.37583.34043.30433.26743.2298
85.31774.45904.06623.83793.68753.58063.50053.43813.38813.34723.28393.21843.15033.11523.07943.04283.00532.96692.9276
95.11744.25653.86253.63313.48173.37383.29273.22963.17893.13733.07293.00612.93652.90052.86372.82592.78722.74752.7067
104.96464.10283.70833.47803.32583.21723.13553.07173.02042.97822.91302.84502.77402.73722.69962.66092.62112.58012.5379
114.84433.98233.58743.35673.20393.09463.01232.94802.89622.85362.78762.71862.64642.60902.57052.53092.49012.44802.4045
124.74723.88533.49033.25923.10592.99612.91342.84862.79642.75342.68662.61692.54362.50552.46632.42592.38422.34102.2962
134.66723.80563.41053.17913.02542.91532.83212.76692.71442.67102.60372.53312.45892.42022.38032.33922.29662.25242.2064
144.60013.73893.34393.11222.95822.84772.76422.69872.64582.60222.53422.46302.38792.34872.30822.26642.22292.17782.1307
154.54313.68233.28743.05562.90132.79052.70662.64082.58762.54372.47532.40342.32752.28782.24682.20432.16012.11412.0658
164.49403.63373.23893.00692.85242.74132.65722.59112.53772.49352.42472.35222.27562.23542.19382.15072.10582.05892.0096
174.45133.59153.19682.96472.81002.69872.61432.54802.49432.44992.38072.30772.23042.18982.14772.10402.05842.01071.9604
184.41393.55463.15992.92772.77292.66132.57672.51022.45632.41172.34212.26862.19062.14972.10712.06292.01661.96811.9168
194.38073.52193.12742.89512.74012.62832.54352.47682.42272.37792.30802.23412.15552.11412.07122.02641.97951.93021.8780
204.35123.49283.09842.86612.71092.59902.51402.44712.39282.34792.27762.20332.12422.08252.03911.99381.94641.89631.8432
214.32483.46683.07252.84012.68482.57272.48762.42052.36602.32102.25042.17572.09602.05402.01021.96451.91651.86571.8117
224.30093.44343.04912.81672.66132.54912.46382.39652.34192.29672.22582.15082.07072.02831.98421.93801.88941.83801.7831
234.27933.42213.02802.79552.64002.52772.44222.37482.32012.27472.20362.12822.04762.00501.96051.91391.86481.81281.7570
244.25973.40283.00882.77632.62072.50822.42262.35512.30022.25472.18342.10772.02671.98381.93901.89201.84241.78961.7330
254.24173.38522.99122.75872.60302.49042.40472.33712.28212.23652.16492.08892.00751.96431.91921.87181.82171.76841.7110
264.22523.36902.97522.74262.58682.47412.38832.32052.26552.21972.14792.07161.98981.94641.90101.85331.80271.74881.6906
274.21003.35412.96042.72782.57192.45912.37322.30532.25012.20432.13232.05581.97361.92991.88421.83611.78511.73061.6717
284.19603.34042.94672.71412.55812.44532.35932.29132.23602.19002.11792.04111.95861.91471.86871.82031.76891.71381.6541
294.18303.32772.93402.70142.54542.43242.34632.27832.22292.17682.10452.02751.94461.90051.85431.80551.75371.69811.6376
304.17093.31582.92232.68962.53362.42052.33432.26622.21072.16462.09212.01481.93171.88741.84091.79181.73961.68351.6223
404.08473.23172.83872.60602.44952.33592.24902.18022.12402.07722.00351.92451.83891.79291.74441.69281.63731.57661.5089
604.00123.15042.75812.52522.36832.25412.16652.09702.04011.99261.91741.83641.74801.70011.64911.59431.53431.46731.3893
1203.92013.07182.68022.44722.28992.17502.08682.01641.95881.91051.83371.75051.65871.60841.55431.49521.42901.35191.2539
inf3.84152.99572.60492.37192.21412.09862.00961.93841.87991.83071.75221.66641.57051.51731.45911.39401.31801.22141.0000

F Table for alpha=.025

df2/df11234567891012152024304060120inf
1647.7890799.5000864.1630899.5833921.8479937.1111948.2169956.6562963.2846968.6274976.7079984.8668993.1028997.24921001.4141005.5981009.8001014.0201018.258
238.506339.000039.165539.248439.298239.331539.355239.373039.386939.398039.414639.431339.447939.456239.46539.47339.48139.49039.498
317.443416.044115.439215.101014.884814.734714.624414.539914.473114.418914.336614.252714.167414.124114.08114.03713.99213.94713.902
412.217910.64919.97929.60459.36459.19739.07418.97968.90478.84398.75128.65658.55998.51098.4618.4118.3608.3098.257
510.00708.43367.76367.38797.14646.97776.85316.75726.68116.61926.52456.42776.32866.27806.2276.1756.1236.0696.015
68.81317.25996.59886.22725.98765.81985.69555.59965.52345.46135.36625.26875.16845.11725.0655.0124.9594.9044.849
78.07276.54155.88985.52265.28525.11864.99494.89934.82324.76114.66584.56784.46674.41504.3624.3094.2544.1994.142
87.57096.05955.41605.05264.81734.65174.52864.43334.35724.29514.19974.10123.99953.94723.8943.8403.7843.7283.670
97.20935.71475.07814.71814.48444.31974.19704.10204.02603.96393.86823.76943.66693.61423.5603.5053.4493.3923.333
106.93675.45644.82564.46834.23614.07213.94983.85493.77903.71683.62093.52173.41853.36543.3113.2553.1983.1403.080
116.72415.25594.63004.27514.04403.88073.75863.66383.58793.52573.42963.32993.22613.17253.1183.0613.0042.9442.883
126.55385.09594.47424.12123.89113.72833.60653.51183.43583.37363.27733.17723.07283.01872.9632.9062.8482.7872.725
136.41434.96534.34723.99593.76673.60433.48273.38803.31203.24973.15323.05272.94772.89322.8372.7802.7202.6592.595
146.29794.85674.24173.89193.66343.50143.37993.28533.20933.14693.05022.94932.84372.78882.7322.6742.6142.5522.487
156.19954.76504.15283.80433.57643.41473.29343.19873.12273.06022.96332.86212.75592.70062.6442.5852.5242.4612.395
166.11514.68674.07683.72943.50213.34063.21943.12483.04882.98622.88902.78752.68082.62522.5682.5092.4472.3832.316
176.04204.61894.01123.66483.43793.27673.15563.06102.98492.92222.82492.72302.61582.55982.5022.4422.3802.3152.247
185.97814.55973.95393.60833.38203.22093.09993.00532.92912.86642.76892.66672.55902.50272.4452.3842.3212.2562.187
195.92164.50753.90343.55873.33273.17183.05092.95632.88012.81722.71962.61712.50892.45232.3942.3332.2702.2032.133
205.87154.46133.85873.51473.28913.12833.00742.91282.83652.77372.67582.57312.46452.40762.3492.2872.2232.1562.085
215.82664.41993.81883.47543.25013.08952.96862.87402.79772.73482.63682.53382.42472.36752.3082.2462.1822.1142.042
225.78634.38283.78293.44013.21513.05462.93382.83922.76282.69982.60172.49842.38902.33152.2722.2102.1452.0762.003
235.74984.34923.75053.40833.18353.02322.90232.80772.73132.66822.56992.46652.35672.29892.2392.1762.1112.0411.968
245.71664.31873.72113.37943.15482.99462.87382.77912.70272.63962.54112.43742.32732.26932.2092.1462.0802.0101.935
255.68644.29093.69433.35303.12872.96852.84782.75312.67662.61352.51492.41102.30052.24222.1822.1182.0521.9811.906
265.65864.26553.66973.32893.10482.94472.82402.72932.65282.58962.49082.38672.27592.21742.1572.0932.0261.9541.878
275.63314.24213.64723.30673.08282.92282.80212.70742.63092.56762.46882.36442.25332.19462.1332.0692.0021.9301.853
285.60964.22053.62643.28633.06262.90272.78202.68722.61062.54732.44842.34382.23242.17352.1122.0481.9801.9071.829
295.58784.20063.60723.26743.04382.88402.76332.66862.59192.52862.42952.32482.21312.15402.0922.0281.9591.8861.807
305.56754.18213.58943.24993.02652.86672.74602.65132.57462.51122.41202.30722.19522.13592.0742.0091.9401.8661.787
405.42394.05103.46333.12612.90372.74442.62382.52892.45192.38822.28822.18192.06772.00691.9431.8751.8031.7241.637
605.28563.92533.34253.00772.78632.62742.50682.41172.33442.27022.16922.06131.94451.88171.8151.7441.6671.5811.482
1205.15233.80463.22692.89432.67402.51542.39482.29942.22172.15702.05481.94501.82491.75971.6901.6141.5301.4331.310
inf5.02393.68893.11612.78582.56652.40822.28752.19182.11362.04831.94471.83261.70851.64021.5661.4841.3881.2681.000

F Table for alpha=.01

df2/df11234567891012152024304060120inf
14052.1814999.5005403.3525624.5835763.6505858.9865928.3565981.0706022.4736055.8476106.3216157.2856208.7306234.6316260.6496286.7826313.0306339.3916365.864
298.50399.00099.16699.24999.29999.33399.35699.37499.38899.39999.41699.43399.44999.45899.46699.47499.48299.49199.499
334.11630.81729.45728.71028.23727.91127.67227.48927.34527.22927.05226.87226.69026.59826.50526.41126.31626.22126.125
421.19818.00016.69415.97715.52215.20714.97614.79914.65914.54614.37414.19814.02013.92913.83813.74513.65213.55813.463
516.25813.27412.06011.39210.96710.67210.45610.28910.15810.0519.8889.7229.5539.4669.3799.2919.2029.1129.020
613.74510.9259.7809.1488.7468.4668.2608.1027.9767.8747.7187.5597.3967.3137.2297.1437.0576.9696.880
712.2469.5478.4517.8477.4607.1916.9936.8406.7196.6206.4696.3146.1556.0745.9925.9085.8245.7375.650
811.2598.6497.5917.0066.6326.3716.1786.0295.9115.8145.6675.5155.3595.2795.1985.1165.0324.9464.859
910.5618.0226.9926.4226.0575.8025.6135.4675.3515.2575.1114.9624.8084.7294.6494.5674.4834.3984.311
1010.0447.5596.5525.9945.6365.3865.2005.0574.9424.8494.7064.5584.4054.3274.2474.1654.0823.9963.909
119.6467.2066.2175.6685.3165.0694.8864.7444.6324.5394.3974.2514.0994.0213.9413.8603.7763.6903.602
129.3306.9275.9535.4125.0644.8214.6404.4994.3884.2964.1554.0103.8583.7803.7013.6193.5353.4493.361
139.0746.7015.7395.2054.8624.6204.4414.3024.1914.1003.9603.8153.6653.5873.5073.4253.3413.2553.165
148.8626.5155.5645.0354.6954.4564.2784.1404.0303.9393.8003.6563.5053.4273.3483.2663.1813.0943.004
158.6836.3595.4174.8934.5564.3184.1424.0043.8953.8053.6663.5223.3723.2943.2143.1323.0472.9592.868
168.5316.2265.2924.7734.4374.2024.0263.8903.7803.6913.5533.4093.2593.1813.1013.0182.9332.8452.753
178.4006.1125.1854.6694.3364.1023.9273.7913.6823.5933.4553.3123.1623.0843.0032.9202.8352.7462.653
188.2856.0135.0924.5794.2484.0153.8413.7053.5973.5083.3713.2273.0772.9992.9192.8352.7492.6602.566
198.1855.9265.0104.5004.1713.9393.7653.6313.5233.4343.2973.1533.0032.9252.8442.7612.6742.5842.489
208.0965.8494.9384.4314.1033.8713.6993.5643.4573.3683.2313.0882.9382.8592.7782.6952.6082.5172.421
218.0175.7804.8744.3694.0423.8123.6403.5063.3983.3103.1733.0302.8802.8012.7202.6362.5482.4572.360
227.9455.7194.8174.3133.9883.7583.5873.4533.3463.2583.1212.9782.8272.7492.6672.5832.4952.4032.305
237.8815.6644.7654.2643.9393.7103.5393.4063.2993.2113.0742.9312.7812.7022.6202.5352.4472.3542.256
247.8235.6144.7184.2183.8953.6673.4963.3633.2563.1683.0322.8892.7382.6592.5772.4922.4032.3102.211
257.7705.5684.6754.1773.8553.6273.4573.3243.2173.1292.9932.8502.6992.6202.5382.4532.3642.2702.169
267.7215.5264.6374.1403.8183.5913.4213.2883.1823.0942.9582.8152.6642.5852.5032.4172.3272.2332.131
277.6775.4884.6014.1063.7853.5583.3883.2563.1493.0622.9262.7832.6322.5522.4702.3842.2942.1982.097
287.6365.4534.5684.0743.7543.5283.3583.2263.1203.0322.8962.7532.6022.5222.4402.3542.2632.1672.064
297.5985.4204.5384.0453.7253.4993.3303.1983.0923.0052.8682.7262.5742.4952.4122.3252.2342.1382.034
307.5625.3904.5104.0183.6993.4733.3043.1733.0672.9792.8432.7002.5492.4692.3862.2992.2082.1112.006
407.3145.1794.3133.8283.5143.2913.1242.9932.8882.8012.6652.5222.3692.2882.2032.1142.0191.9171.805
607.0774.9774.1263.6493.3393.1192.9532.8232.7182.6322.4962.3522.1982.1152.0281.9361.8361.7261.601
1206.8514.7873.9493.4803.1742.9562.7922.6632.5592.4722.3362.1922.0351.9501.8601.7631.6561.5331.381
inf6.6354.6053.7823.3193.0172.8022.6392.5112.4072.3212.1852.0391.8781.7911.6961.5921.4731.3251.000

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F Table was last modified: January 28th, 2014 by Stephanie

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