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TABLAS DE DISTRIBUCIONES DE PROBABILIDAD
- 0,0000 0,0000 0,0001 ,00 0,00000,00000,0001,01 0,00000,00000,0001,02 0,00000,00000,0001,03 0,00000,00000,0001,04 0,00000,00000,0001,05 0,00000,00000,0001,06 0,00000,00000,0001,07 0,00000,00000,0001,08 0,00000,00000,0001,
- 0,0001 0,0002 0,0002 0,0003 0,00010,00020,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,0003 0,00010,00010,00020,
- 0,0005 0,0007 0,0010 0,0013 0,00050,00070,00090,0013 0,00050,00060,00090,0013 0,00040,00060,00090,0012 0,00040,00060,00080,0012 0,00040,00060,00080,0011 0,00040,00060,00080,0011 0,00040,00050,00080,0011 0,00040,00050,00070,0010 0,00030,00050,00070,
- 0,0019 0,0026 0,0035 0,0047 0,00180,00250,00340,0045 0,00180,00240,00330,0044 0,00170,00230,00320,0043 0,00160,00230,00310,0041 0,00160,00220,00300,0040 0,00150,00210,00290,0039 0,00150,00210,00280,0038 0,00140,00200,00270,0037 0,00140,00190,00260,
- 0,0062 0,0082 0,0107 0,0139 0,00600,00800,01040,0136 0,00590,00780,01020,0132 0,00570,00750,00990,0129 0,00550,00730,00960,0125 0,00540,00710,00940,0122 0,00520,00690,00910,0119 0,00510,00680,00890,0116 0,00490,00660,00870,0113 0,00480,00640,00840,
- 0,0179 0,0228 0,0287 0,0359 0,01740,02220,02810,0351 0,01700,02170,02740,0344 0,01660,02120,02680,0336 0,01620,02070,02620,0329 0,01580,02020,02560,0322 0,01540,01970,02500,0314 0,01500,01920,02440,0307 0,01460,01880,02390,0301 0,01430,01830,02330,
- 0,0446 0,0548 0,0668 0,0808 0,04360,05370,06550,0793 0,04270,05260,06430,0778 0,04180,05160,06300,0764 0,04090,05050,06180,0749 0,04010,04950,06060,0735 0,03920,04850,05940,0721 0,03840,04750,05820,0708 0,03750,04650,05710,0694 0,03670,04550,05590,
- 0,0968 0,1151 0,1357 0,1587 0,09510,11310,13350,1562 0,09340,11120,13140,1539 0,09180,10930,12920,1515 0,09010,10750,12710,1492 0,08850,10560,12510,1469 0,08690,10380,12300,1446 0,08530,10200,12100,1423 0,08380,10030,11900,1401 0,08230,09850,11700,
- 0,1841 0,2119 0,2420 0,2743 0,18140,20900,23890,2709 0,17880,20610,23580,2676 0,17620,20330,23270,2643 0,17360,20050,22960,2611 0,17110,19770,22660,2578 0,16850,19490,22360,2546 0,16600,19220,22060,2514 0,16350,18940,21770,2483 0,16110,18670,21480,
- 0,3085 0,3446 0,3821 0,4207 0,30500,34090,37830,4168 0,30150,33720,37450,4129 0,29810,33360,37070,4090 0,29460,33000,36690,4052 0,29120,32640,36320,4013 0,28770,32280,35940,3974 0,28430,31920,35570,3936 0,28100,31560,35200,3897 0,27760,31210,34830,
- -0,0 0,4602 0,5000 0,45620,4960 0,45220,4920 0,44830,4880 0,44430,4840 0,44040,4801 0,43640,4761 0,43250,4721 0,42860,4681 0,42470,
- -0,6 -0,5 -0,4 -0, Jose Rojas Fuentes VALORES PERCENTILES, Z[p], DE LA DISTRIBUCIÓN NORMAL ESTANDAR, Z, CON MEDIA0 Y DESVIACIÓN ESTÁNDAR 1.
- -0,2 -0,
- -1,2 -1,1 -1,0 -0,
- -0,8 -0,
- -1,8 -1,7 -1,6 -1,
- -1,4 -1,
- -2,4 -2,3 -2,2 -2,
- -2,0 -1,
- -3,0 -2,9 -2,8 -2,
- -2,6 -2,
- -3,6 -3,5 -3,4 -3,
- -3,2 -3,
- -3, -4,0 -3,9 -3,8 Z - Z lim 0 →−∞ P Z ( ≤ Z^0 )= P Z ( ≤ z )= F Z ( : μ = 0; σ = 1) = 12 π −∞∫ z e −^2 t^2 dt
- 0,5000 0,5398 0,5793,00 0,50400,54380,5832,01 0,50800,54780,5871,02 0,51200,55170,5910,03 0,51600,55570,5948,04 0,51990,55960,5987,05 0,52390,56360,6026,06 0,52790,56750,6064,07 0,53190,57140,6103,08 0,53590,57530,6141,
- 0,6179 0,6554 0,6915 0,7257 0,62170,65910,69500,7291 0,62550,66280,69850,7324 0,62930,66640,70190,7357 0,63310,67000,70540,7389 0,63680,67360,70880,7422 0,64060,67720,71230,7454 0,64430,68080,71570,7486 0,64800,68440,71900,7517 0,65170,68790,72240,
- 0,7580 0,7881 0,8159 0,8413 0,76110,79100,81860,8438 0,76420,79390,82120,8461 0,76730,79670,82380,8485 0,77040,79950,82640,8508 0,77340,80230,82890,8531 0,77640,80510,83150,8554 0,77940,80780,83400,8577 0,78230,81060,83650,8599 0,78520,81330,83890,
- 0,8643 0,8849 0,9032 0,9192 0,86650,88690,90490,9207 0,86860,88880,90660,9222 0,87080,89070,90820,9236 0,87290,89250,90990,9251 0,87490,89440,91150,9265 0,87700,89620,91310,9279 0,87900,89800,91470,9292 0,88100,89970,91620,9306 0,88300,90150,91770,
- 0,9332 0,9452 0,9554 0,9641 0,93450,94630,95640,9649 0,93570,94740,95730,9656 0,93700,94840,95820,9664 0,93820,94950,95910,9671 0,93940,95050,95990,9678 0,94060,95150,96080,9686 0,94180,95250,96160,9693 0,94290,95350,96250,9699 0,94410,95450,96330,
- 0,9713 0,9772 0,9821 0,9861 0,97190,97780,98260,9864 0,97260,97830,98300,9868 0,97320,97880,98340,9871 0,97380,97930,98380,9875 0,97440,97980,98420,9878 0,97500,98030,98460,9881 0,97560,98080,98500,9884 0,97610,98120,98540,9887 0,97670,98170,98570,
- 0,9893 0,9918 0,9938 0,9953 0,98960,99200,99400,9955 0,98980,99220,99410,9956 0,99010,99250,99430,9957 0,99040,99270,99450,9959 0,99060,99290,99460,9960 0,99090,99310,99480,9961 0,99110,99320,99490,9962 0,99130,99340,99510,9963 0,99160,99360,99520,
- 0,9965 0,9974 0,9981 0,9987 0,99660,99750,99820,9987 0,99670,99760,99820,9987 0,99680,99770,99830,9988 0,99690,99770,99840,9988 0,99700,99780,99840,9989 0,99710,99790,99850,9989 0,99720,99790,99850,9989 0,99730,99800,99860,9990 0,99740,99810,99860,
- 0,9990 0,9993 0,9995 0,9997 0,99910,99930,99950,9997 0,99910,99940,99950,9997 0,99910,99940,99960,9997 0,99920,99940,99960,9997 0,99920,99940,99960,9997 0,99920,99940,99960,9997 0,99920,99950,99960,9997 0,99930,99950,99960,9997 0,99930,99950,99970,
- 0,9998 0,9998 0,9999 0,9999 0,99980,99980,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,9999 0,99980,99990,99990,
- 1,0000 1,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,0000 1,00001,
- 0,3 0,4 0,5 0, 0,0 0,1 0,2 Z
- 0,7 0,8 0,9 1,
- 1,1 1,2 1,3 1,
- 1,5 1,
- 3,
- 1,7 1,8 1,9 2,
- 2,1 2,
- 3,
- 2,3 2,4 2,5 2,
- 3,
- 2,7 2,8 2,9 3,
- 3,
- 3,
- 3,9 4,
- 3,3 3,4 3, VALORES PERCENTILES, Z[p], DE LA DISTRIBUCIÓN NORMAL ESTANDAR, Z,CON MEDIA 0 Y DESVIACIÓN ESTÁNDAR 1 (CONTINUACIÓN). - Z lim 0 →+∞ P Z ( ≤ Z^0 ) =
v 0,750^ 0,900^ 0,950 0,975^ 0,990^ 0,
p 0,005 VALORES PERCENTILES,0,010 0,025 0,050 0,100 , DE LA DISTRIBUCIÓN CHI CUADRADO0,
χ 2 ( )ν
v^ p 0,005^ 0,010^ 0,025 0,050^ 0,100 0,250^ 0,750^ 0,900 0,950^ 0,975^ 0,990^ 0,
DISTRIBUCIÓN T DE STUDENT CON "^ VALORES PERCENTILES,^ Página Nº 5^ v , DE LA " GRADOS
DE LIBERTAD.
P t [ ( ) ν ≤ t p ( : ν)] = (^) νπ^1 Γ Γ ^ νν 22 +^1 ^^ t p [^ −∞ ∫: ]^ ν^ ^1 + (^) ν t^2 −^ ν^2 +^1 dt = p
T ( ) ν
0,500 0,750 v^ P^^1 1,00005,8284 1,50007,5000 1,70928,1999 1,82278,5809 1,89378,8198 1,94228,9833 1,97749,1021 2,00419,1923 2,02509,2631 2,04199,3201 2,05589,3671 2,06749, 0,900 0,950 0,975 0,990 39,863161,45647,794052,2 49,500199,50799,504999,5 53,593215,71864,165403,4 55,833224,58899,585624,6 57,240230,16921,855763,6 58,204233,99937,115859,0 58,906236,77948,225928,4 59,439238,88956,665981,1 59,858240,54963,286022,5 60,195241,88968,636055,8 60,473242,98973,036083,3 60,705243,91976,716106, 0,995 0,500 0,750 0,900 (^) 0,66672,57148,5263 (^16211) 1,00003,00009,0000 (^19999) 1,13493,15349,1618 (^21615) 1,20713,23219,2434 (^22500) 1,25193,27999,2926 (^23056) 1,28243,31219,3255 (^23437) 1,30463,33529,3491 (^23715) 1,32133,35269,3668 (^23925) 1,33443,36619,3805 (^24091) 1,34503,37709,3916 (^24224) 1,35373,38599,4006 (^24334) 1,36103,39349,4081 24426 0,950 0,975 0,990 0,995 18,51338,50698,503198,50 19,00039,00099,000199,00 19,16439,16599,166199,17 19,24739,24899,249199,25 19,29639,29899,299199,30 19,33039,33199,333199,33 19,35339,35599,356199,36 19,37139,37399,374199,37 19,38539,38799,388199,39 19,39639,39899,399199,40 19,40539,40799,408199,41 19,41339,41599,416199, 0,500 0,750 0,900 0,950 0,58512,02395,538310,128 0,88112,27985,46249,5521 1,00002,35565,39089,2766 1,06322,39015,34269,1172 1,10242,40955,30929,0135 1,12892,42185,28478,9406 1,14822,43025,26628,8867 1,16272,43645,25178,8452 1,17412,44105,24008,8123 1,18332,44475,23048,7855 1,19092,44765,22248,7633 1,19722,45005,21568, 0,975 0,990 0,995 0,500 17,44334,11655,5520,5486 16,04430,81749,7990,8284 15,43929,45747,4670,9405 15,10128,71046,1951,0000 14,88528,23745,3921,0367 14,73527,91144,8381,0617 14,62427,67244,4341,0797 14,54027,48944,1261,0933 14,47327,34543,8821,1040 14,41927,22943,6861,1126 14,37427,13343,5241,1196 14,33727,05243,3871, 0,750 0,900 0,950 0,975 1,80744,54487,708612,218 2,00004,32466,944310,649 2,04674,19096,59149,9792 2,06424,10726,38829,6045 2,07234,05066,25619,3645 2,07664,00976,16319,1973 2,07903,97906,09429,0741 2,08053,95496,04108,9796 2,08143,93575,99888,9047 2,08203,91995,96448,8439 2,08233,90675,93588,7935 2,08263,89555,91178, 0,990 0,995 0,500 0,750 21,19831,3330,52811,6925 18,00026,2840,79881,8528 16,69424,2590,90711,8843 15,97723,1550,96461,8927 15,52222,4561,00001,8947 15,20721,9751,02401,8945 14,97621,6221,04141,8935 14,79921,3521,05451,8923 14,65921,1391,06481,8911 14,54620,9671,07301,8899 14,45220,8241,07981,8887 14,37420,7051,08551, 0,900 0,950 0,975 0,990 4,06046,607910,00716,258 3,77975,78618,433613,274 3,61955,40957,763612,060 3,52025,19227,387911,392 3,45305,05037,146410,967 3,40454,95036,977710,672 3,36794,87596,853110,456 3,33934,81836,757210,289 3,31634,77256,681110,158 3,29744,73516,619210,051 3,28164,70406,56789,9626 3,26824,67776,52459, 0,995 0,500 0,750 0,900 22,7850,51491,62143,7759 18,3140,77981,76223,4633 16,5300,88581,78443,2888 15,5560,94191,78723,1808 14,9400,97651,78523,1075 14,5131,00001,78213,0546 14,2001,01691,77893,0145 13,9611,02981,77602,9830 13,7721,03981,77332,9577 13,6181,04781,77082,9369 13,4911,05441,76872,9195 13,3841,06001,76682, 0,950 0,975 0,990 0,995 5,98748,813113,74518,635 5,14337,259910,92514,544 4,75716,59889,779512,917 4,53376,22729,148312,028 4,38745,98768,745911,464 4,28395,81988,466111,073 4,20675,69558,260010,786 4,14685,59968,101710,566 4,09905,52347,976110,391 4,06005,46137,874110,250 4,02745,40987,789610,133 3,99995,36627,718310, 0,500 0,750 0,900 0,950 0,50571,57323,58945,5914 0,76651,70103,25744,7374 0,87091,71693,07414,3468 0,92621,71572,96054,1203 0,96031,71112,88333,9715 0,98331,70592,82743,8660 1,00001,70112,78493,7870 1,01261,69692,75163,7257 1,02241,69312,72473,6767 1,03041,68982,70253,6365 1,03691,68692,68393,6030 1,04231,68432,66813, 0,975 0,990 0,995 0,500 8,072712,24616,2360,4990 6,54159,546612,4040,7568 5,88988,451310,8820,8600 5,52267,846610,0500,9146 5,28527,46049,52210,9483 5,11867,19149,15530,9711 4,99496,99288,88540,9876 4,89936,84008,67811,0000 4,82326,71888,51381,0097 4,76116,62018,38031,0175 4,70956,53828,26971,0240 4,66586,46918,17641, 0,750 0,900 0,950 0,975 1,53843,45795,31777,5709 1,65693,11314,45906,0595 1,66832,92384,06625,4160 1,66422,80643,83795,0526 1,65752,72643,68754,8173 1,65082,66833,58064,6517 1,64482,62413,50054,5286 1,63962,58933,43814,4333 1,63502,56123,38814,3572 1,63102,53803,34724,2951 1,62752,51863,31304,2434 1,62442,50203,28394, 0,990 0,995 0,500 0,750 11,25914,6880,49381,5121 8,649111,0420,74941,6236 7,59109,59650,85171,6315 7,00618,80510,90581,6253 6,63188,30180,93921,6170 6,37077,95200,96171,6091 6,17767,69410,97811,6022 6,02897,49590,99041,5961 5,91067,33861,00001,5909 5,81437,21061,00771,5863 5,73437,10451,01411,5823 5,66677,01491,01941, 0,900 0,950 0,975 0,990 3,36035,11747,209310,561 3,00654,25655,71478,0215 2,81293,86255,07816,9919 2,69273,63314,71816,4221 2,61063,48174,48446,0569 2,55093,37384,31975,8018 2,50533,29274,19705,6129 2,46943,22964,10205,4671 2,44033,17894,02605,3511 2,41633,13733,96395,2565 2,39613,10253,91215,1779 2,37893,07293,86825, 0,995 0,500 0,750 0,900 13,6140,48971,49153,2850 10,1070,74351,59752,9245 8,71710,84511,60282,7277 7,95590,89881,59492,6053 7,47120,93191,58532,5216 7,13390,95441,57652,4606 6,88490,97051,56882,4140 6,69330,98281,56212,3772 6,54110,99231,55632,3473 6,41721,00001,55132,3226 6,31421,00631,54692,3018 6,22741,01161,54302, 0,950 0,975 0,990 0,995 4,96466,936710,04412,826 4,10285,45647,55949,4270 3,70834,82566,55238,0807 3,47804,46835,99437,3428 3,32584,23615,63636,8724 3,21724,07215,38586,5446 3,13553,94985,20016,3025 3,07173,85495,05676,1159 3,02043,77904,94245,9676 2,97823,71684,84915,8467 2,94303,66494,77155,7462 2,91303,62094,70595,
LIBERTAD EN EL NUMERADOR Y "^ VALORES PERCENTILES,DISTRIBUCIÓN^ F^ CON "^ v^ 1" GRADOS DE v 2" GRADOS, DE LA
DE LIBERTAD EN EL DENOMINADOR.
v 2 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9
F (^) [ p : ν ν 1 ; 2 ] P F [ (ν 1 ;ν 2 ) ≤ F p ( : ν 1 ;ν 2 )]= (^) ΓΓ ν 2 1 ν (^) ^1 +Γ^2 ν ν 2 22 ν 1 ν^22 ν 2 ν^21 ⋅^ F^ (^ p :ν ∫ 0 1 ;ν^2 )^ (ν 2 +^ u ν^ ν^211 u^ −^1 )ν 1 2 +ν 2 du = p
0,500 0,750 v^ P^^1 0,48641,4749 0,73871,5767 0,83971,5798 0,89321,5704 0,92611,5598 0,94841,5502 0,96451,5418 0,97661,5346 0,98611,5284 0,99371,5229 1,00001,5182 1,00521, 0,900 0,950 0,975 0,990 3,22524,84436,72419,6460 2,85953,98235,25597,2057 2,66023,58744,63006,2167 2,53623,35674,27515,6683 2,45123,20394,04405,3160 2,38913,09463,88075,0692 2,34163,01233,75864,8861 2,30402,94803,66384,7445 2,27352,89623,58794,6315 2,24822,85363,52574,5393 2,22692,81793,47374,4624 2,20872,78763,42964, 0,995 0,500 0,750 0,900 12,2260,48371,46133,1765 8,91220,73481,55952,8068 7,60040,83531,56092,6055 6,88090,88851,55042,4801 6,42170,92121,53892,3940 6,10160,94341,52862,3310 5,86480,95941,51972,2828 5,68210,97151,51202,2446 5,53680,98101,50542,2135 5,41830,98861,49962,1878 5,31970,99481,49462,1660 5,23631,00001,49022, 0,950 0,975 0,990 0,995 4,74726,55389,330211,754 3,88535,09596,92668,5096 3,49034,47425,95257,2258 3,25924,12125,41206,5211 3,10593,89115,06436,0711 2,99613,72834,82065,7570 2,91343,60654,63955,5245 2,84863,51184,49945,3451 2,79643,43584,38755,2021 2,75343,37364,29615,0855 2,71733,32154,21984,9884 2,68663,27734,15534, 0,500 0,750 0,900 0,950 0,48141,45003,13624,6672 0,73151,54522,76323,8056 0,83161,54512,56033,4105 0,88451,53362,43373,1791 0,91721,52142,34673,0254 0,93931,51052,28302,9153 0,95521,50112,23412,8321 0,96721,49312,19532,7669 0,97671,48612,16382,7144 0,98421,48012,13762,6710 0,99041,47482,11552,6347 0,99561,47012,09662, 0,975 0,990 0,995 0,500 6,41439,073811,3740,4794 4,96536,70108,18650,7286 4,34725,73946,92580,8284 3,99595,20536,23350,8812 3,76674,86165,79100,9137 3,60434,62045,48190,9357 3,48274,44105,25290,9516 3,38804,30215,07610,9636 3,31204,19114,93510,9730 3,24974,10034,81990,9805 3,19754,02454,72400,9867 3,15323,96034,64290, 0,750 0,900 0,950 0,975 1,44033,10224,60016,2979 1,53312,72653,73894,8567 1,53172,52223,34394,2417 1,51942,39473,11223,8919 1,50662,30692,95823,6634 1,49522,24262,84773,5014 1,48542,19312,76423,3799 1,47702,15392,69873,2853 1,46972,12202,64583,2093 1,46342,09542,60223,1469 1,45792,07292,56553,0946 1,45302,05372,53423, 0,990 0,995 0,500 0,750 8,861611,0600,47781,4321 6,51497,92160,72621,5227 5,56396,68040,82571,5202 5,03545,99840,87831,5071 4,69505,56230,91071,4938 4,45585,25740,93271,4820 4,27795,03130,94851,4718 4,13994,85660,96051,4631 4,02974,71730,96981,4556 3,93944,60340,97731,4491 3,86404,50850,98351,4434 3,80014,42810,98861, 0,900 0,950 0,975 0,990 3,07324,54316,19958,6831 2,69523,68234,76506,3589 2,48983,28744,15285,4170 2,36143,05563,80434,8932 2,27302,90133,57644,5556 2,20812,79053,41474,3183 2,15822,70663,29344,1415 2,11852,64083,19874,0045 2,08622,58763,12273,8948 2,05932,54373,06023,8049 2,03662,50683,00783,7299 2,01712,47532,96333, 0,995 0,500 0,750 0,900 10,7980,47631,42493,0481 7,70080,72411,51372,6682 6,47600,82331,51032,4618 5,80290,87581,49652,3327 5,37210,90811,48272,2438 5,07080,93001,47052,1783 4,84730,94581,46012,1280 4,67440,95771,45112,0880 4,53640,96701,44332,0553 4,42350,97451,43662,0281 4,32950,98071,43072,0051 4,24970,98581,42551, 0,950 0,975 0,990 0,995 4,49406,11518,531010,575 3,63374,68676,22627,5138 3,23894,07685,29226,3034 3,00693,72944,77265,6378 2,85243,50214,43745,2117 2,74133,34064,20164,9134 2,65723,21944,02594,6920 2,59113,12483,88964,5207 2,53773,04883,78044,3838 2,49352,98623,69094,2719 2,45642,93373,61624,1785 2,42472,88903,55274, 0,500 0,750 0,900 0,950 0,47501,41863,02624,4513 0,72221,50572,64463,5915 0,82121,50152,43743,1968 0,87361,48722,30772,9647 0,90581,47302,21832,8100 0,92771,46052,15242,6987 0,94341,44972,10172,6143 0,95531,44052,06132,5480 0,96461,43252,02842,4943 0,97211,42562,00092,4499 0,97821,41961,97772,4126 0,98331,41421,95772, 0,975 0,990 0,995 0,500 6,04208,399710,3840,4738 4,61896,11217,35360,7205 4,01125,18506,15560,8194 3,66484,66905,49670,8716 3,43794,33595,07460,9038 3,27674,10154,77890,9256 3,15563,92674,55940,9413 3,06103,79104,38940,9532 2,98493,68224,25350,9625 2,92223,59314,14240,9699 2,86963,51854,04960,9760 2,82493,45523,97090, 0,750 0,900 0,950 0,975 1,41303,00704,41395,9781 1,49882,62393,55464,5597 1,49382,41603,15993,9539 1,47902,28582,92773,6083 1,46442,19582,77293,3820 1,45162,12962,66133,2209 1,44062,07852,57673,0999 1,43112,03792,51023,0053 1,42302,00472,45632,9291 1,41591,97702,41172,8664 1,40971,95352,37422,8137 1,40421,93332,34212, 0,990 0,995 0,500 0,750 8,285410,2180,47281,4081 6,01297,21480,71911,4925 5,09196,02780,81771,4870 4,57905,37460,86991,4717 4,24794,95600,90201,4568 4,01464,66270,92381,4437 3,84064,44480,93941,4325 3,70544,27590,95131,4228 3,59714,14100,96061,4145 3,50824,03050,96801,4073 3,43383,93820,97411,4009 3,37063,85990,97921, 0,900 0,950 0,975 0,990 2,98994,38075,92168,1849 2,60563,52194,50755,9259 2,39703,12743,90345,0103 2,26632,89513,55874,5003 2,17602,74013,33274,1708 2,10942,62833,17183,9386 2,05802,54353,05093,7653 2,01712,47682,95633,6305 1,98362,42272,88013,5225 1,95572,37792,81723,4338 1,93212,34022,76453,3596 1,91172,30802,71963, 0,995 0,500 0,750 0,900 10,0730,47191,40372,9747 7,09350,71771,48702,5893 5,91610,81621,48082,3801 5,26810,86831,46522,2489 4,85260,90041,45002,1582 4,56140,92211,43662,0913 4,34480,93781,42522,0397 4,17700,94961,41531,9985 4,04280,95881,40691,9649 3,93290,96631,39951,9367 3,84100,97241,39301,9129 3,76310,97751,38731, 0,950 0,975 0,990 0,995 4,35125,87158,09609,9439 3,49284,46135,84896,9865 3,09843,85874,93825,8177 2,86613,51474,43075,1743 2,71093,28914,10274,7616 2,59903,12833,87144,4721 2,51403,00743,69874,2569 2,44712,91283,56444,0900 2,39282,83653,45673,9564 2,34792,77373,36823,8470 2,31002,72093,29413,7555 2,27762,67583,23113, 0,500 0,750 0,900 0,950 0,47111,39972,96104,3248 0,71651,48202,57463,4668 0,81491,47532,36493,0725 0,86691,45932,23332,8401 0,89891,44382,14232,6848 0,92061,43022,07512,5727 0,93621,41862,02332,4876 0,94811,40861,98192,4205 0,95731,40001,94802,3660 0,96471,39251,91972,3210 0,97081,38591,89562,2829 0,97591,38011,87502, 0,975 0,990 0,995 5,82668,01669,8295 4,41995,78046,8914 3,81884,87405,7304 3,47544,36885,0911 3,25014,04214,6809 3,08953,81174,3931 2,96863,63964,1789 2,87403,50564,0128 2,79773,39813,8799 2,73483,30983,7709 2,68193,23593,6798 2,63683,17303,
Página Nº 8 VALORES PERCENTILES, 3 4 , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN) 5 6 7 8 9 10 11 v 2 1 2
F (^) [ p : ν ν 1 ; 2 ]
0,500 0,750 v^ P^^1 2,07739,4398 2,08589,4685 2,09319,4934 2,11049,5519 2,11919,5813 2,13219,6254 2,14529,6698 2,15849,7144 2,16509,7368 2,17169,7592 2,18489,8041 2,19819, 0,900 0,950 0,975 0,990 60,903244,69979,846125,9 61,073245,36982,536142,7 61,220245,95984,876157,3 61,566247,32990,356191,5 61,740248,01993,106208,7 62,002249,05997,256234,6 62,265250,101001,46260,6 62,529251,141005,66286,8 62,662251,671007,76299,9 62,794252,201009,86313,0 63,061253,251014,06339,4 63,328254,311018,36365, 0,995 0,500 0,750 0,900 (^) 1,36713,39979,4145 (^24505) 1,37243,40519,4200 (^24572) 1,37713,40989,4247 (^24630) 1,38793,42089,4358 (^24767) 1,39333,42639,4413 (^24836) 1,40143,43469,4496 (^24940) 1,40963,44289,4579 (^25044) 1,41783,45119,4662 (^25148) 1,42203,45539,4704 (^25201) 1,42613,45949,4746 (^25253) 1,43443,46779,4829 (^25359) 1,44273,47619,4912 25464 0,950 0,975 0,990 0,995 19,41939,42199,422199,42 19,42439,42799,428199,43 19,42939,43199,433199,43 19,44039,44299,444199,44 19,44639,44899,449199,45 19,45439,45699,458199,46 19,46239,46599,466199,47 19,47139,47399,474199,47 19,47539,47799,478199,48 19,47939,48199,482199,48 19,48739,49099,491199,49 19,49639,49899,499199, 0,500 0,750 0,900 0,950 1,20252,45205,20988,7287 1,20712,45375,20478,7149 1,21112,45525,20038,7029 1,22052,45855,18988,6745 1,22522,46025,18458,6602 1,23222,46265,17648,6385 1,23932,46505,16818,6166 1,24652,46745,15978,5944 1,25002,46855,15558,5832 1,25362,46975,15128,5720 1,26082,47195,14258,5494 1,26802,47425,13378, 0,975 0,990 0,995 0,500 14,30426,98343,2711,1305 14,27726,92443,1721,1348 14,25326,87243,0851,1386 14,19626,75142,8801,1473 14,16726,69042,7781,1517 14,12426,59842,6221,1583 14,08126,50542,4661,1649 14,03726,41142,3081,1716 14,01426,36442,2291,1749 13,99226,31642,1491,1782 13,94726,22141,9891,1849 13,90226,12541,8281, 0,750 0,900 0,950 0,975 2,08273,88595,89118,7150 2,08283,87765,87338,6838 2,08293,87045,85788,6565 2,08293,85315,82118,5924 2,08283,84435,80258,5599 2,08273,83105,77448,5109 2,08253,81745,74598,4613 2,08213,80365,71708,4111 2,08193,79665,70248,3859 2,08173,78965,68778,3604 2,08123,77535,65818,3092 2,08063,76075,62818, 0,990 0,995 0,500 0,750 14,30720,6031,09031,8867 14,24920,5151,09441,8859 14,19820,4381,09801,8851 14,08020,2581,10641,8831 14,02020,1671,11061,8820 13,92920,0301,11701,8802 13,83819,8921,12341,8784 13,74519,7521,12971,8763 13,69919,6811,13291,8753 13,65219,6111,13611,8742 13,55819,4681,14261,8719 13,46319,3251,14901, 0,900 0,950 0,975 0,990 3,25674,65526,48769,8248 3,24684,63586,45569,7700 3,23804,61886,42779,7222 3,21724,57856,36199,6096 3,20674,55816,32869,5526 3,19054,52726,27809,4665 3,17414,49576,22699,3793 3,15734,46386,17509,2912 3,14884,44766,14899,2467 3,14024,43146,12259,2020 3,12284,39856,06939,1118 3,10504,36506,01539, 0,995 0,500 0,750 0,900 13,2931,06471,76512,8920 13,2151,06871,76352,8809 13,1461,07221,76212,8712 12,9851,08041,75872,8481 12,9031,08451,75692,8363 12,7801,09071,75402,8183 12,6561,09691,75092,8000 12,5301,10311,74772,7812 12,4661,10621,74602,7716 12,4021,10931,74432,7620 12,2741,11561,74072,7423 12,1441,12191,73682, 0,950 0,975 0,990 0,995 3,97645,32907,65759,950 3,95595,29687,60499,8774 3,93815,26877,55909,8140 3,89575,20217,45079,6644 3,87425,16847,39589,5888 3,84155,11727,31279,4742 3,80825,06527,22859,3582 3,77435,01257,14329,2408 3,75714,98587,10019,1816 3,73984,95897,05679,1219 3,70474,90446,96909,0015 3,66894,84916,88008, 0,500 0,750 0,900 0,950 1,04691,68202,65453,5503 1,05091,68002,64263,5292 1,05431,67812,63223,5107 1,06231,67362,60743,4669 1,06641,67122,59473,4445 1,07241,66752,57533,4105 1,07851,66352,55553,3758 1,08461,65932,53513,3404 1,08771,65712,52473,3225 1,09081,65482,51423,3043 1,09691,65012,49283,2674 1,10311,64522,47083, 0,975 0,990 0,995 0,500 4,62856,41001,03398,097 4,59616,35908,02791,0378 4,56786,31437,96781,0412 4,50086,20897,82581,0491 4,46676,15547,75401,0531 4,41506,07437,64501,0591 4,36245,99207,53451,0651 4,30895,90847,42241,0711 4,28185,86627,36581,0741 4,25445,82367,30881,0772 4,19895,73737,19331,0832 4,14235,64957,07601, 0,750 0,900 0,950 0,975 1,62172,48763,25904,1622 1,61922,47523,23744,1297 1,61702,46423,21844,1012 1,61162,43803,17334,0338 1,60882,42463,15033,9995 1,60432,40413,11523,9472 1,59962,38303,07943,8940 1,59452,36143,04283,8398 1,59192,35033,02413,8123 1,58932,33913,00533,7844 1,58362,31622,96693,7279 1,57772,29262,92763, 0,990 0,995 0,500 0,750 5,60891,02391,57576,938 5,55896,87211,02781,5729 5,51516,81431,03111,5705 5,41166,67751,03901,5643 5,35916,60821,04291,5611 5,27936,50291,04891,5560 5,19816,39611,05481,5506 5,11566,28751,06081,5449 5,07386,23261,06381,5420 5,03166,17721,06671,5389 4,94616,06491,07271,5325 4,85885,95061,07881, 0,900 0,950 0,975 0,990 2,36403,04753,83065,0545 2,35103,02553,79805,0052 2,33963,00613,76944,9621 2,31232,96003,70154,8599 2,29832,93653,66694,8080 2,27682,90053,61424,7290 2,25472,86373,56044,6486 2,23202,82593,50554,5666 2,22032,80673,47754,5251 2,20852,78723,44934,4831 2,18432,74753,39184,3978 2,15922,70673,33294, 0,995 0,500 0,750 0,900 (^) 1,01601,53962,26876,153 6,08871,01991,53652,2553 6,03251,02321,53382,2435 5,89941,03101,52702,2153 5,83181,03491,52352,2007 5,72921,04081,51792,1784 5,62481,04671,51192,1554 5,51861,05261,50562,1317 5,46471,05561,50242,1195 5,41041,05851,49902,1072 5,30011,06451,49192,0818 5,18751,07051,48432, 0,950 0,975 0,990 0,995 2,88723,58324,64965,5887 2,86473,55044,60085,5257 2,84503,52174,55815,4707 2,79803,45344,45695,3403 2,77403,41854,40545,2740 2,73723,36544,32695,1732 2,69963,31104,24695,0706 2,66093,25544,16534,9659 2,64113,22714,12384,9128 2,62113,19844,08194,8592 2,58013,13993,99654,7501 2,53793,07983,90904,
NOTA: SI EL VALOR DEL GRADO DE LIBERTAD NO APARECEEN LA TABLA SE DEBE APROXIMAR AL VALOR MÁS CERCANOQUE ESTÉ DISPONIBLE
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)
120 OO
v 2 13 14 15 18 20 24 30 40 48 60
TeoremaF p ( : ν 1 : ν : 2 ) = (^) F (1 − p (^1) : ν 2 : ν 1 ) F (^) [ p : ν ν 1 ; 2 ]
0,500 0,750 v^ P^^1 1,00971,5104 1,01351,5071 1,01681,5041 1,02451,4968 1,02841,4930 1,03431,4869 1,04011,4805 1,04601,4737 1,04891,4701 1,05191,4664 1,05781,4587 1,06371, 0,900 0,950 0,975 0,990 2,19302,76143,39174,3416 2,17922,73863,35884,2932 2,16712,71863,32994,2509 2,13802,67093,26124,1503 2,12302,64643,22614,0990 2,10002,60903,17254,0209 2,07622,57053,11763,9411 2,05162,53093,06133,8596 2,03902,51073,03263,8181 2,02612,49013,00353,7761 1,99972,44802,94413,6904 1,97212,40452,88283, 0,995 0,500 0,750 0,900 (^) 1,00441,48622,13135,165 5,10311,00821,48272,1173 5,04891,01151,47962,1049 4,92051,01921,47192,0750 4,85521,02311,46782,0597 4,75571,02891,46132,0360 4,65431,03471,45442,0115 4,55081,04051,44711,9861 4,49821,04351,44331,9730 4,44501,04641,43931,9597 4,33671,05231,43101,9323 4,22551,05821,42211, 0,950 0,975 0,990 0,995 2,66023,23934,09994,836 2,63713,20624,05184,7748 2,61693,17724,00964,7213 2,56843,10813,90954,5945 2,54363,07283,85844,5299 2,50553,01873,78054,4314 2,46632,96333,70084,3309 2,42592,90633,61924,2282 2,40522,87733,57764,1759 2,38422,84783,53554,1229 2,34102,78743,44944,0149 2,29622,72493,36083, 0,500 0,750 0,900 0,950 1,00001,46602,08022,5769 1,00381,46232,06582,5536 1,00711,45902,05322,5331 1,01471,45082,02272,4841 1,01861,44652,00702,4589 1,02431,43971,98272,4202 1,03011,43241,95762,3803 1,03601,42471,93152,3392 1,03891,42061,91802,3181 1,04181,41641,90432,2966 1,04761,40751,87592,2524 1,05351,39801,84622, 0,975 0,990 0,995 0,500 3,11503,90520,99624,573 3,08193,85734,51291,0000 3,05273,81544,46001,0033 2,98323,71564,33441,0109 2,94773,66464,27031,0147 2,89323,58684,17261,0205 2,83723,50704,07271,0263 2,77973,42533,97041,0321 2,75033,38363,91831,0350 2,72043,34133,86551,0379 2,65903,25483,75771,0437 2,59553,16543,64651, 0,750 0,900 0,950 0,975 1,44872,03702,50733,0119 1,44492,02242,48372,9786 1,44142,00952,46302,9493 1,43291,97852,41342,8795 1,42841,96252,38792,8437 1,42121,93772,34872,7888 1,41361,91192,30822,7324 1,40551,88522,26642,6742 1,40121,87142,24492,6444 1,39671,85722,22292,6142 1,38741,82802,17782,5519 1,37721,79732,13072, 0,990 0,995 0,500 0,750 3,74520,99301,43394,359 3,69754,29930,99671,4299 3,65574,24681,00001,4263 3,55614,12211,00761,4174 3,50524,05851,01141,4127 3,42743,96141,01721,4052 3,34763,86191,02291,3973 3,26563,76001,02871,3888 3,22383,70801,03161,3843 3,18133,65521,03451,3796 3,09423,54731,04031,3698 3,00403,43591,04611, 0,900 0,950 0,975 0,990 2,00012,44812,92493,6115 1,98532,42442,89153,5639 1,97222,40342,86213,5222 1,94072,35332,79193,4228 1,92432,32752,75593,3719 1,89902,28782,70063,2940 1,87282,24682,64373,2141 1,84542,20432,58503,1319 1,83122,18242,55493,0899 1,81682,16012,52423,0471 1,78672,11412,46112,9595 1,75512,06582,39532, 0,995 0,500 0,750 0,900 (^) 0,99021,42091,96824,181 4,12190,99391,41681,9532 4,06980,99721,41311,9399 3,94591,00471,40391,9079 3,88261,00861,39901,8913 3,78591,01431,39131,8656 3,68671,02001,38301,8388 3,58501,02581,37421,8108 3,53301,02861,36951,7964 3,48031,03151,36461,7816 3,37221,03731,35431,7507 3,26021,04311,34321, 0,950 0,975 0,990 0,995 2,39732,85063,49814,031 2,37332,81703,45063,9723 2,35222,78753,40893,9205 2,30162,71703,30963,7972 2,27562,68083,25873,7342 2,23542,62523,18083,6378 2,19382,56783,10073,5389 2,15072,50853,01823,4372 2,12852,47812,97603,3852 2,10582,44712,93303,3324 2,05892,38312,84473,2240 2,00962,31632,75283, 0,500 0,750 0,900 0,950 0,98771,40951,94042,3531 0,99141,40521,92522,3290 0,99471,40141,91172,3077 1,00221,39201,87922,2567 1,00601,38691,86242,2304 1,01171,37901,83622,1898 1,01751,37041,80902,1477 1,02321,36131,78052,1040 1,02611,35641,76582,0815 1,02891,35141,75062,0584 1,03471,34061,71912,0107 1,04051,32901,68561, 0,975 0,990 0,995 0,500 2,78633,40070,98553,903 2,75263,35333,84450,9892 2,72303,31173,79290,9924 2,65223,21243,67011,0000 2,61583,16153,60731,0038 2,55983,08353,51121,0095 2,50203,00323,41241,0152 2,44222,92053,31081,0209 2,41152,87803,25871,0238 2,38012,83483,20581,0267 2,31532,74593,09711,0324 2,24742,65302,98391, 0,750 0,900 0,950 0,975 1,39941,91582,31432,7302 1,39501,90042,29002,6964 1,39111,88682,26862,6667 1,38141,85392,21722,5956 1,37621,83682,19062,5590 1,36801,81032,14972,5027 1,35921,78272,10712,4445 1,34971,75372,06292,3842 1,34471,73872,04002,3531 1,33951,72322,01662,3214 1,32841,69101,96812,2558 1,31621,65671,91682, 0,990 0,995 0,500 0,750 3,31620,98351,39033,793 3,26893,73410,98721,3859 3,22733,68270,99051,3819 3,12803,56030,99801,3719 3,07713,49771,00181,3666 2,99903,40171,00751,3582 2,91853,30301,01321,3492 2,83543,20141,01891,3394 2,79283,14931,02171,3343 2,74933,09621,02461,3289 2,65972,98711,03041,3174 2,56602,87321,03611, 0,900 0,950 0,975 0,990 1,89402,28002,68083,2422 1,87852,25562,64693,1949 1,86472,23412,61713,1533 1,83142,18232,54573,0541 1,81422,15552,50893,0031 1,78732,11412,45232,9249 1,75922,07122,39372,8442 1,72982,02642,33292,7608 1,71452,00332,30162,7179 1,69881,97952,26962,6742 1,66591,93022,20322,5839 1,63081,87802,13332, 0,995 0,500 0,750 0,900 (^) 0,98181,38221,87453,696 3,63780,98551,37771,8588 3,58660,98871,37361,8449 3,46450,99621,36341,8113 3,40201,00001,35801,7938 3,30621,00571,34941,7667 3,20751,01141,34011,7382 3,10581,01711,33011,7083 3,05361,01991,32481,6928 3,00041,02281,31931,6768 2,89081,02851,30741,6433 2,77621,03431,29431, 0,950 0,975 0,990 0,995 2,24952,63693,17693,6111 2,22502,60303,12963,5530 2,20332,57313,08803,5020 2,15112,50142,98873,3802 2,12422,46452,93773,3178 2,08252,40762,85943,2220 2,03912,34862,77853,1234 1,99382,28732,69473,0215 1,97042,25572,65172,9692 1,94642,22342,60772,9159 1,89632,15622,51682,8058 1,84322,08532,42122, 0,500 0,750 0,900 0,950 0,98021,37491,85702,2222 0,98391,37031,84122,1975 0,98711,36611,82712,1757 0,99461,35571,79322,1232 0,99841,35021,77562,0960 1,00401,34141,74812,0540 1,00971,33191,71932,0102 1,01541,32171,68901,9645 1,01831,31621,67321,9408 1,02111,31051,65691,9165 1,02681,29831,62281,8657 1,03261,28481,58621, 0,975 0,990 0,995 2,59783,11873,5358 2,56383,07153,4779 2,53383,03003,4270 2,46182,93063,3054 2,42472,87963,2431 2,36752,80103,1474 2,30822,72003,0488 2,24652,63592,9467 2,21462,59262,8943 2,18192,54842,8408 2,11412,45682,7302 2,04222,36032,
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN) 120 oo
11 12 13
v 2 13 14 15 F^^ [^18 p :^ ν ν^1 ;^2 ]^20 24 3040 48
