﻿ T distribution calculator

# T Distribution Calculator

## Student distribution

T-student distribution is an artificial distribution used for a normally distributed population when we don't know the population's standard deviation or when the sample size is too small.

T distribution looks similar to the normal distribution but lower in the middle and with thicker tails. The shape depends on the degrees of freedom, number of independent observations, usually number of observations minus one (n-1). The higher the degree of freedom the more it resembles the normal distribution.

## Calculation

Enter input data and then press "Calculate" button to get the results

 digits: 1 2 3 4 5 6 7 6 9 10 example digits=2: 0.001234 => 0.0012 df: degrees of freedom X: p(x≤X): choose X or P(x≤X)

Message Messsage

## T Table

p(x ≤ tp) = p. p(x > tp) = 1 - p.
For any practical use you can use the above calculator instead of the t table. The below t table is a bit more accurate.

Example: Row 2 (DF=2) and Column 3 (t0.995)
P(x ≤ 9.9248) = 0.995
P(x > 9.9248) = 0.005

DFt0.999t0.9975t0.995t0.99t0.975t0.95t0.9t0.85t0.8t0.7
1318.3088389856127.321336468963.656741162931.820515953812.70620473626.31375151473.07768353721.96261050551.37638192050.726542528
222.327124770114.08904727569.92484320096.96455673434.30265272972.91998558041.88561808321.38620656021.06066017180.6172133998
310.21453185247.45331850525.84090930974.54070285863.18244630532.35336343481.63774435371.2497781050.97847231240.5843897274
47.17318221985.59756836714.60409487133.7469473882.77644510522.13184678631.53320627411.18956685240.94096457720.568649063
55.89342953144.77334060494.03214298363.36492999892.57058183562.01504837331.47588404881.15576734290.91954378020.5594296445
65.20762623874.31682710363.70742802133.14266840332.44691185111.94318028051.43975574731.13415693070.90570328520.5533809236
74.78528962864.02933717763.49948329742.99795156692.36462425161.89457860511.41492392771.11915912840.89602964430.5491096579
84.50079093373.83251868533.35538733132.89645944772.30600413521.85954803751.39681530971.10814544460.88888951780.5459337635
94.29680566273.68966239233.24983554162.8214379252.26215716281.83311293271.38302873841.09971619640.88340385970.5434802415
104.1437004943.58140620213.16927267262.76376945812.2281388521.81246112281.37218364111.09305807360.87905782860.5415280388
114.02470103763.49661417333.10580651552.71807918382.20098516011.79588481871.3634303181.08766638040.87552997810.5399378785
123.92963326463.42844424233.05453958942.68099799312.17881282971.78228755561.3562173341.08321142050.87260929160.5386176682
133.85198239123.3724679413.01227583872.65030883792.16036865651.7709333961.35017128881.0794687370.8701515340.5375040895
143.78739023753.32569581782.97684273442.62449406762.14478668791.76131013581.34503037451.07628024460.86805478160.5365521798
153.73283442533.28603857092.94671288352.6024802952.13144954561.75305035571.34060560791.07353139560.86624497320.535729133
163.68615479273.25199287442.92078162242.58348718532.11990529921.74588367631.33675716731.07113716330.86466700180.5350104529
173.64576738013.22244991142.89823051972.56693398372.10981557781.73960672611.33337938971.06903311060.86327901740.5343774798
183.61048488483.19657422232.87844047272.55237963022.10092204021.73406360661.33039094361.06716951550.8620486680.5338157505
193.5794001493.17372453082.86093460652.53948319062.09302405441.72913281151.3277282091.06550739860.86095055030.5333138816
203.55180834323.15340053292.84533970982.52797700272.08596344731.72471824291.3253407071.06401577120.85996443970.5328627916
213.52715366893.13520624542.8313595582.5176480162.07961384471.72074290281.32318787391.06266968810.85907403520.532455147
223.50499203113.11882420692.81875606062.50832455292.07387306791.71714437441.32123674161.06144884340.85826605170.5320849613
233.48496437493.10399696312.80733568382.49986673952.06865761041.71387152771.31946023981.06033653960.85752955370.5317472993
243.4667772983.09051354872.79693950482.49215947322.06389856161.71088207991.31783593371.05931892080.85685545810.5314380561
253.4501887273.07819946052.78743581372.48510717542.05953855281.70814076131.31634507271.05838439260.85623615770.5311537896
263.43499718163.06690911642.77871453332.47862982362.05552943861.70561791981.31497186431.05752317930.85566523330.5308915918
273.42103362123.05652010892.77068295712.4726599122.05183051651.70328844571.31370291281.05672698040.85513723070.5306489893
283.40815517843.04692877512.76326245552.4671400982.04840714181.70113093431.31252678161.05598870280.85464748560.5304238649
293.39624028843.03804674482.75638590372.46202136022.04522964211.69912702651.31143364731.05530224870.85419198590.5302143957
303.38518486683.02979822362.74999565362.45726154242.04227245631.69726088661.31041502541.05466234720.85376726150.5300190039
353.34004520212.99604661192.72380558922.43772254712.03010792831.68957245781.3062118021.05201942670.8520118890.5292106858
403.30687771412.97117129492.70445926742.42325677932.02107539031.68385101331.30307705261.05004577840.85069979580.5286056796
453.28147984822.95207912732.68958501942.41211587572.01410338891.67942739271.30064933231.04851576520.84968190470.5281358519
503.26140905582.93696408532.67779327092.40327191672.00855911211.67590502521.29871369421.04729492660.84886924450.5277604527
553.2451491052.92470103672.66821598852.39608105262.00404478331.67303396531.29713429991.04629815180.84820543270.5274536145
603.2317091262.91455257542.66028302892.39011947262.0002978221.67064886491.29582109351.04546894310.84765300640.5271981272
653.22041427112.9060152872.65360446942.38509681561.99713790841.66863597581.29471201311.0447683240.84718610120.5269820958
703.2107890612.89873377482.64790462382.38080748231.99443711181.66691447911.29376289791.04416853590.8467862850.5267970357
753.20248884082.89244999232.6429830672.37710181241.9921021541.66542537331.29294146861.04364927370.84644006750.5266367323
803.19525769032.88697205082.63869059632.3738682731.99006342131.66412457861.29222358311.04319534080.84613734790.5264965293
903.18327081412.87788418352.63156516562.36849747621.98667454071.6619610841.29102889871.04243965990.84563327290.5262629873
1003.17373949372.87065152382.62589052142.36421736621.98397151851.66023432611.29007476131.04183590090.84523042450.5260762706
1103.16597936762.86475864242.62126454352.36072634171.98176528211.65882418741.28929516631.04134243520.84490109340.5259235798
1203.15953874332.85986484882.61742114512.35782461261.97993040511.65765089941.28864623371.04093157040.84462683770.5257963906
1303.15410747212.8557359322.61417723762.35537458491.97838040541.65665941271.28809765441.04058416850.8443949080.5256888068
1-P0.0010.00250.0050.010.0250.050.10.150.20.3