Formulas, Statistical Tables and R Commands: Statistical Tables
Table 4: Critical values F-distribution
Table 4: Critical values #F#-distribution
#for# #\alpha = 0.05#
\begin{eqnarray*} & &df_1&&&&&&&&&\\ df_2& |&1&2&3&4&5&6&8&12&24&\infty\\ \hline 1 &|&161.45&199.50&215.71&224.58&230.16&233.99&238.88&243.91&249.05&254.31\\ 2 &|&18.513&19.000&19.164&19.247&19.296&19.330&19.371&19.413&19.454&19.496\\ 3 &|&10.128&9.5521&9.2766&9.1172&9.0135&8.9406&8.8452&8.7446&8.6385&8.5264\\ 4 &|&7.7086&6.9443&6.5914&6.3882&6.2561&6.1631&6.0410&5.9117&5.7744&5.6281\\ 5 &|&6.6079&5.7861&5.4095&5.1922&5.0503&4.9503&4.8183&4.6777&4.5272&4.3650\\ 6 &|&5.9874&5.1433&4.7571&4.5337&4.3874&4.2839&4.1468&3.9999&3.8415&3.6689\\ 7 &|&5.5914&4.7374&4.3468&4.1203&3.9715&3.8660&3.7257&3.5747&3.4105&3.2298\\ 8 &|&5.3177&4.4590&4.0662&3.8379&3.6875&3.5806&3.4381&3.2839&3.1152&2.9276\\ 9 &|&5.1174&4.2565&3.8625&3.6331&3.4817&3.3738&3.2296&3.0729&2.9005&2.7067\\ 10 &|&4.9646&4.1028&3.7083&3.4780&3.3258&3.2172&3.0717&2.9130&2.7372&2.5379\\ 11 &|&4.8443&3.9823&3.5874&3.3567&3.2039&3.0946&2.9480&2.7876&2.6090&2.4045\\ 12 &|&4.7472&3.8853&3.4903&3.2592&3.1059&2.9961&2.8486&2.6866&2.5055&2.2962\\ 13 &|&4.6672&3.8056&3.4105&3.1791&3.0254&2.9153&2.7669&2.6037&2.4202&2.2064\\ 14 &|&4.6001&3.7389&3.3439&3.1122&2.9582&2.8477&2.6987&2.5342&2.3487&2.1307\\ 15 &|&4.5431&3.6823&3.2874&3.0556&2.9013&2.7905&2.6408&2.4753&2.2878&2.0658\\ 16 &|&4.4940&3.6337&3.2389&3.0069&2.8524&2.7413&2.5911&2.4247&2.2354&2.0096\\ 17 &|&4.4513&3.5915&3.1968&2.9647&2.8100&2.6987&2.5480&2.3807&2.1898&1.9604\\ 18 &|&4.4139&3.5546&3.1599&2.9277&2.7729&2.6613&2.5102&2.3421&2.1497&1.9168\\ 19 &|&4.3807&3.5219&3.1274&2.8951&2.7401&2.6283&2.4768&2.3080&2.1141&1.8780\\ 20 &|&4.3512&3.4928&3.0984&2.8661&2.7109&2.5990&2.4471&2.2776&2.0825&1.8432\\ 21 &|&4.3248&3.4668&3.0725&2.8401&2.6848&2.5727&2.4205&2.2504&2.0540&1.8117\\ 22 &|&4.3009&3.4434&3.0491&2.8167&2.6613&2.5491&2.3965&2.2258&2.0283&1.7831\\ 23 &|&4.2793&3.4221&3.0280&2.7955&2.6400&2.5277&2.3748&2.2036&2.0050&1.7570\\ 24 &|&4.2597&3.4028&3.0088&2.7763&2.6207&2.5082&2.3551&2.1834&1.9838&1.7330\\ 25 &|&4.2417&3.3852&2.9912&2.7587&2.6030&2.4904&2.3371&2.1649&1.9643&1.7110\\ 26 &|&4.2252&3.3690&2.9752&2.7426&2.5868&2.4741&2.3205&2.1479&1.9464&1.6906\\ 27 &|&4.2100&3.3541&2.9604&2.7278&2.5719&2.4591&2.3053&2.1323&1.9299&1.6717\\ 28 &|&4.1960&3.3404&2.9467&2.7141&2.5581&2.4453&2.2913&2.1179&1.9147&1.6541\\ 29 &|&4.1830&3.3277&2.9340&2.7014&2.5454&2.4324&2.2783&2.1045&1.9005&1.6376\\ 30 &|&4.1709&3.3158&2.9223&2.6896&2.5336&2.4205&2.2662&2.0921&1.8874&1.6223\\ 40 &|&4.0847&3.2317&2.8387&2.6060&2.4495&2.3359&2.1802&2.0035&1.7929&1.5089\\ 60 &|&4.0012&3.1504&2.7581&2.5252&2.3683&2.2541&2.0970&1.9174&1.7001&1.3893\\ 120 &|&3.9201&3.0718&2.6802&2.4472&2.2899&2.1750&2.0164&1.8337&1.6084&1.2539\\ \infty&|&3.8415&2.9957&2.6049&2.3719&2.2141&2.0986&1.9384&1.7522&1.5173&1.0000 \end{eqnarray*}