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ChiSquare - Lower Tail Previous Next
Lower Tail Critical Values of Chi Square Distribution
One sided test Prob(χ2≤c) = p
Reference: NIST/SEMATECH e-Handbook of Statistical Methods
ν\p .1 .05 .025 .01 .005 .0025 .001 .0005 .00025 .0001
1.01579077.00393214.00098207.000157093.9270e-59.8175e-61.5708e-63.9270e-79.8175e-81.5708e-8
2.21072103.10258659.05063562.02010067.01002508.00500626.00200100.00100025.00050006.00020001
3.58437437.35184632.21579528.11483180.07172177.04494134.02429759.01527897.00961426.00521483
41.0636232.71072302.48441856.29710948.20698909.14486687.09080404.06392204.04505815.02841848
51.61030801.1454762.83121161.55429808.41174190.30748182.21021260.15813752.11918370.08217738
62.20413071.63538291.2373442.87209033.67572678.52656896.38106676.29940770.23576987.17235211
72.83310692.16734991.68986921.2390423.98925568.79446801.59849375.48487499.39379093.29996687
83.48953912.73263682.17973071.64649741.34441311.1042555.85710483.71037932.59030458.46359379
94.16815903.32511282.70038952.08790071.73493291.45014451.1519495.97169945.82185955.66080916
104.86518213.94029913.24697282.55821222.15585651.82739691.47874351.26498211.0850839.88892036
115.57778484.57481313.81574833.05348412.60322192.23213861.83385271.58684771.37689871.1452951
126.30379615.22602954.40378853.57056903.07382362.66118232.21420931.93437671.69457201.4274951
137.04150465.89186435.00875054.10691553.56503463.11188302.61721812.30505772.03570851.7333180
147.78953366.57063145.62872614.66042514.07467503.58202443.04067252.69672802.39821562.0607979
158.54675627.26094396.26213785.22934894.60091564.06973223.48268453.10751862.78026532.4081880
169.31223647.96164566.90766445.81221255.14220544.57340733.94162783.53580703.18025612.7739385
1710.0851868.67176027.56418646.40775985.69721715.09167374.41609273.98017713.59678073.1566728
1810.8649369.39045518.23074627.01491096.26480475.62333854.90484884.43938674.02859683.5551653
1911.65091010.1170138.90651657.63272966.84397146.16736025.40681604.91234014.47460363.9683219
2012.44260910.8508119.59077748.26039837.43384436.72282345.92104075.39806624.93382104.3951627
2113.23959811.59130510.2828988.89719798.03365347.28891906.44667665.89570015.40537334.8348075
2214.04149312.33801510.9823219.54249238.64271647.86492776.98296846.40446825.88847435.2864624
2314.84795613.09051411.68855210.1957169.26042488.45020727.52923986.92367516.38241575.7494097
2415.65868413.84842512.40115010.8563619.88623359.04418068.08488167.45269396.88655746.2229979
2516.47340814.61140813.11972011.52397510.5196529.64632828.64934367.99095687.40031816.7066341
2617.29188515.37915713.84390512.19814711.16023710.2561799.22212688.53794797.92316897.1997771
2718.11389616.15139614.57338312.87850411.80758710.8733079.80277699.09319698.45462667.7019313
2818.93924216.92787515.30786113.56471012.46133611.49732210.3908799.65627388.99424898.2126421
2919.76774417.70836616.04707214.25645513.12114912.12786710.98605310.2267849.54162938.7314908
3020.59923518.49266116.79077214.95345713.78672012.76461611.58795110.80436510.0963949.2580912
3121.43356519.28056917.53873915.65545614.45776713.40726912.19625011.38868110.6581969.7920862
3222.27059420.07191318.29076516.36221615.13403214.05554812.81065511.97942511.22671810.333145
3323.11019720.86653419.04666217.07351415.81527414.70919713.43088912.57630911.80166210.880960
3423.95225321.66428119.80625317.78914716.50127215.36797814.05669913.17906812.38275211.435246
3524.79665522.46501520.56937718.50892617.19182016.03167214.68784713.78745312.96973311.995736
3625.64330023.26860921.33588219.23267617.88672716.70007315.32411314.40123513.56236512.562181
3726.49209424.07494322.10562719.96023218.58581217.37298915.96529015.02019814.16042313.134347
3827.34295024.88390422.87848220.69144219.28891218.05024216.61118715.64413914.76370013.712017
3928.19578525.69539023.65432521.42616319.99586818.73166417.26162216.27287115.37199814.294986
4029.05052326.50930324.43303922.16426120.70653519.41709917.91642716.90621615.98513214.883061
4129.90709127.32555125.21451922.90561121.42077720.10639818.57544117.54400816.60293015.476060
4230.76542328.14404925.99866223.65009522.13846320.79942419.23851718.18608817.22522716.073813
4331.62545428.96471726.78537424.39760122.85947421.49604719.90551218.83230917.85187016.676158
4432.48712629.78747727.57456625.14802523.58369322.19614220.57629419.48253218.48271317.282944
4533.35038130.61225928.36615225.90126924.31101422.89959321.25073620.13662519.11761817.894024
4634.21516731.43899529.16005426.65723925.04133423.60629221.92872020.79446119.75645418.509264
4735.08143232.26762229.95619627.41584725.77455724.31613322.61013321.45592420.39909819.128532
4835.94913133.09807730.75450628.17700926.51059125.02901923.29486922.12090021.04543419.751706
4936.81821733.93030631.55491628.94064627.24934925.74485523.98282522.78928321.69534820.378669
5037.68864834.76425232.35736429.70668327.99074926.46355224.67390523.46097122.34873621.009310
5138.56038435.59986433.16178630.47504828.73471227.18502725.36801824.13586823.00549621.643523
5239.43338536.43709333.96812631.24567329.48116427.90919826.06507724.81388223.66553322.281206
5340.30761537.27589334.77632932.01849330.23003328.63598926.76499825.49492624.32875422.922263
5441.18303938.11621835.58634032.79344730.98125329.36532727.46770126.17891524.99507323.566602
5542.05962338.95802736.39811133.57047531.73475730.09714228.17311226.86577025.66440524.214136
5642.93733739.80127837.21159334.34952232.49048630.83136728.88115727.55541526.33667124.864779
5743.81614840.64593338.02674135.13053333.24837831.56794029.59176728.24777627.01179525.518452
5844.69602941.49195438.84351035.91345834.00837932.30679830.30487728.94278427.68970226.175078
5945.57695142.33930839.66185936.69824634.77043433.04788331.02042229.64037228.37032426.834582
6046.45888843.18795840.48174837.48485235.53449133.79114031.73834230.34047529.05359327.496894
6147.34181544.03787441.30313838.27322836.30050134.53651432.45857831.04303329.73944428.161946
6248.22570644.88902442.12599239.06333337.06841535.28395533.18107431.74798530.42781528.829672
6349.11053945.74137742.95027539.85512537.83818936.03341333.90577732.45527531.11864829.500009
6449.99629046.59490543.77595340.64856338.60977836.78484034.63263533.16484931.81188430.172898
6550.88293947.44958144.60299341.44360939.38314137.53819135.36159833.87665532.50746930.848280
6651.77046448.30537845.43136342.24022740.15823638.29342236.09261934.59064033.20535031.526099
6752.65884649.16227046.26103443.03838040.93502439.05049136.82565035.30675833.90547532.206301
6853.54806450.02023347.09197743.83803541.71346839.80935637.56064936.02496034.60779632.888835
6954.43810250.87924347.92416344.63915842.49353140.56997938.29757236.74520335.31226533.573650
7055.32894051.73927848.75756545.44171743.27518041.33232239.03637737.46744236.01883734.260698
7156.22056152.60031549.59215746.24568344.05837842.09634839.77702638.19163536.72746734.949932
7257.11294953.46233350.42791547.05102544.84309642.86202340.51948038.91774237.43811335.641308
7358.00608854.32531251.26481347.85771545.62930043.62931141.26370139.64572338.15073336.334781
7458.89996255.18923152.10282948.66572546.41696044.39818142.00965440.37554138.86528837.030310
7559.79455756.05407252.94194049.47502947.20604845.16860042.75730441.10715939.58173937.727854
7660.68985756.91981753.78212350.28560047.99653445.94053843.50661841.84054240.30005038.427374
7761.58585057.78644754.62335951.09741548.78839246.71396544.25756342.57565541.02018439.128831
7862.48252058.65394555.46562551.91044849.58159447.48885245.01010743.31246541.74210539.832189
7963.37985659.52229456.30890352.72467650.37611648.26517245.76422244.05094042.46578240.537411
8064.27784460.39147857.15317353.54007751.17193249.04289746.51987644.79104843.19118041.244464
8165.17647361.26148257.99841754.35662951.96901849.82200247.27704245.53276143.91826841.953314
8266.07573062.13229158.84461655.17431152.76735050.60246048.03569146.27604744.64701542.663928
8366.97560463.00388859.69175355.99310153.56690751.38424848.79579847.02088045.37739243.376274
8467.87608363.87626160.53981156.81298154.36766552.16734249.55733547.76723146.10937044.090322
8568.77715764.74939661.38877557.63393055.16960452.95171850.32027848.51507446.84291944.806042
8669.67881565.62327862.23862658.45593055.97270353.73735451.08460249.26438247.57801445.523405
8770.58104866.49789563.08935159.27896256.77694254.52422951.85028450.01513148.31462746.242384
8871.48384467.37323463.94093560.10300957.58230155.31232052.61729950.76729649.05273346.962950
8972.38719568.24928464.79336160.92805458.38876156.10160853.38562751.52085249.79230747.685077
9073.29109069.12603065.64661861.75407959.19630456.89207254.15524452.27577850.53332548.408739
9174.19552270.00346366.50068962.58106960.00491257.68369354.92612953.03205051.27576149.133912
9275.10048170.88157167.35556363.40900760.81456758.47645255.69826253.78964752.01959549.860571
9376.00595871.76034368.21122564.23787961.62525259.27033056.47162354.54854752.76480350.588691
9476.91194572.63976869.06766465.06766862.43695260.06531057.24619255.30873053.51136351.318250
9577.81843473.51983569.92486765.89836163.24964960.86137558.02195056.07017454.25925452.049226
9678.72541774.40053570.78282266.72994464.06332761.65850658.79887856.83286155.00845552.781596
9779.63288675.28185871.64151667.56240264.87797362.45668859.57695957.59677255.75894753.515339
9880.54083476.16379372.50093968.39572265.69357063.25590560.35617458.36188756.51070954.250434
9981.44925377.04633273.36108069.22989066.51010564.05614061.13650659.12818857.26372254.986860
10082.35813677.92946574.22192770.06489567.32756364.85737961.91793959.89565858.01796855.724598
TXT Version: ChiSquare-A.txt


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