Tabla de la distribución chi-cuadrado

En este post encontrarás la tabla de la distribución chi-cuadrado junto con unas instrucciones para usar correctamente la tabla.

Valores de la tabla de la distribución chi-cuadrado

A continuación puedes ver los valores más utilizados de la tabla de probabilidades de la distribución chi-cuadrado. Las filas son los grados de libertad de la distribución chi-cuadrado, mientras que las columnas representan la probabilidad de encontrar un valor mayor o igual que el valor de la chi-cuadrado tabulado (cola de la derecha).

GL0,0010,0050,010,0250,050,100,250,500,750,900,950,9750,990,995
110,8287,8796,6355,0243,8412,7061,3230,4550,1020,0160,0040,0010,0000,000
213,81610,5979,2107,3785,9914,6052,7731,3860,5750,2110,1030,0510,0200,010
316,26612,83811,3459,3487,8156,2514,1082,3661,2130,5840,3520,2160,1150,072
418,46714,86013,27711,1439,4887,7795,3853,3571,9231,0640,7110,4840,2970,207
520,51516,75015,08612,83311,0709,2366,6264,3512,6751,6101,1450,8310,5540,412
622,45818,54816,81214,44912,59210,6457,8415,3483,4552,2041,6351,2370,8720,676
724,32220,27818,47516,01314,06712,0179,0376,3464,2552,8332,1671,6901,2390,989
826,12421,95520,09017,53515,50713,36210,2197,3445,0713,4902,7332,1801,6461,344
927,87723,58921,66619,02316,91914,68411,3898,3435,8994,1683,3252,7002,0881,735
1029,58825,18823,20920,48318,30715,98712,5499,3426,7374,8653,9403,2472,5582,156
1131,26426,75724,72521,92019,67517,27513,70110,3417,5845,5784,5753,8163,0532,603
1232,90928,30026,21723,33721,02618,54914,84511,3408,4386,3045,2264,4043,5713,074
1334,52829,81927,68824,73622,36219,81215,98412,3409,2997,0425,8925,0094,1073,565
1436,12331,31929,14126,11923,68521,06417,11713,33910,1657,7906,5715,6294,6604,075
1537,69732,80130,57827,48824,99622,30718,24514,33911,0378,5477,2616,2625,2294,601
1639,25234,26732,00028,84526,29623,54219,36915,33811,9129,3127,9626,9085,8125,142
1740,79035,71833,40930,19127,58724,76920,48916,33812,79210,0858,6727,5646,4085,697
1842,31237,15634,80531,52628,86925,98921,60517,33813,67510,8659,3908,2317,0156,265
1943,82038,58236,19132,85230,14427,20422,71818,33814,56211,65110,1178,9077,6336,844
2045,31539,99737,56634,17031,41028,41223,82819,33715,45212,44310,8519,5918,2607,434
2146,79741,40138,93235,47932,67129,61524,93520,33716,34413,24011,59110,2838,8978,034
2248,26842,79640,28936,78133,92430,81326,03921,33717,24014,04112,33810,9829,5428,643
2349,72844,18141,63838,07635,17232,00727,14122,33718,13714,84813,09111,68910,1969,260
2451,17945,55942,98039,36436,41533,19628,24123,33719,03715,65913,84812,40110,8569,886
2552,62046,92844,31440,64637,65234,38229,33924,33719,93916,47314,61113,12011,52410,520
2654,05248,29045,64241,92338,88535,56330,43525,33620,84317,29215,37913,84412,19811,160
2755,47649,64546,96343,19540,11336,74131,52826,33621,74918,11416,15114,57312,87911,808
2856,89250,99348,27844,46141,33737,91632,62027,33622,65718,93916,92815,30813,56512,461
2958,30152,33649,58845,72242,55739,08733,71128,33623,56719,76817,70816,04714,25613,121
3059,70353,67250,89246,97943,77340,25634,80029,33624,47820,59918,49316,79114,95313,787
3566,61960,27557,34253,20349,80246,05940,22334,33629,05424,79722,46520,56918,50917,192
4073,40266,76663,69159,34255,75851,80545,61639,33533,66029,05126,50924,43322,16420,707
4580,07873,16669,95765,41061,65657,50550,98544,33538,29133,35030,61228,36625,90124,311
5086,66079,45076,15471,42067,50563,16756,33449,33542,94237,68934,76432,35729,70727,991
6099,60791,95288,37983,29879,08274,39766,98159,33552,29446,45943,18840,48237,48535,534
70112,317104,215100,42595,02390,53185,52777,57769,33561,69855,32951,73948,75845,44243,275
80124,839116,321112,329106,629101,87996,57888,13079,33471,14564,27860,39157,15353,54051,172
90137,208128,299124,116118,136113,145107,56598,65089,33480,62573,29169,12665,64761,75459,196
100149,449140,169135,807129,561124,342118,498109,14199,33490,13382,35877,92974,22270,06567,328

Cómo usar la tabla de la distribución chi-cuadrado

Para usar la tabla de la distribución chi-cuadrado debes seguir tres sencillos pasos:

  1. Entrar en la tabla por la fila de los grados de libertad correspondientes a la distribución chi-cuadrado.
  2. Entrar en la tabla por la columna de la probabilidad correspondiente.
  3. El valor de la distribución chi-cuadrado es el valor que se encuentra donde se juntan la fila y la columna de los pasos anteriores.

Por ejemplo, el valor de la distribución chi-cuadrado con cuatro grados de libertad con una probabilidad del 1% de encontrar un valor igual o mayor que él es 13,277. Porque es el valor que hay en la fila de los cuatro grados de libertad y en la columna de la probabilidad 1% (0,01).

\displaystyle \chi_{0,01 | 4}^2=13,277

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