compendio tablas estadisticas 1 124730
TRANSCRIPT
Por:
,00 ,01 ,02 ,03 ,04 ,05 ,06 ,07 ,08 ,09
0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000
0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000 0,0000
0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001
0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001
0,0002 0,0002 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001 0,0001
0,0002 0,0002 0,0002 0,0002 0,0002 0,0002 0,0002 0,0002 0,0002 0,0002
0,0003 0,0003 0,0003 0,0003 0,0003 0,0003 0,0003 0,0003 0,0003 0,0002
0,0005 0,0005 0,0005 0,0004 0,0004 0,0004 0,0004 0,0004 0,0004 0,0003
0,0007 0,0007 0,0006 0,0006 0,0006 0,0006 0,0006 0,0005 0,0005 0,0005
0,0010 0,0009 0,0009 0,0009 0,0008 0,0008 0,0008 0,0008 0,0007 0,0007
0,0013 0,0013 0,0013 0,0012 0,0012 0,0011 0,0011 0,0011 0,0010 0,0010
0,0019 0,0018 0,0018 0,0017 0,0016 0,0016 0,0015 0,0015 0,0014 0,0014
0,0026 0,0025 0,0024 0,0023 0,0023 0,0022 0,0021 0,0021 0,0020 0,0019
0,0035 0,0034 0,0033 0,0032 0,0031 0,0030 0,0029 0,0028 0,0027 0,0026
0,0047 0,0045 0,0044 0,0043 0,0041 0,0040 0,0039 0,0038 0,0037 0,0036
0,0062 0,0060 0,0059 0,0057 0,0055 0,0054 0,0052 0,0051 0,0049 0,0048
0,0082 0,0080 0,0078 0,0075 0,0073 0,0071 0,0069 0,0068 0,0066 0,0064
0,0107 0,0104 0,0102 0,0099 0,0096 0,0094 0,0091 0,0089 0,0087 0,0084
0,0139 0,0136 0,0132 0,0129 0,0125 0,0122 0,0119 0,0116 0,0113 0,0110
0,0179 0,0174 0,0170 0,0166 0,0162 0,0158 0,0154 0,0150 0,0146 0,0143
0,0228 0,0222 0,0217 0,0212 0,0207 0,0202 0,0197 0,0192 0,0188 0,0183
0,0287 0,0281 0,0274 0,0268 0,0262 0,0256 0,0250 0,0244 0,0239 0,0233
0,0359 0,0351 0,0344 0,0336 0,0329 0,0322 0,0314 0,0307 0,0301 0,0294
0,0446 0,0436 0,0427 0,0418 0,0409 0,0401 0,0392 0,0384 0,0375 0,0367
0,0548 0,0537 0,0526 0,0516 0,0505 0,0495 0,0485 0,0475 0,0465 0,0455
0,0668 0,0655 0,0643 0,0630 0,0618 0,0606 0,0594 0,0582 0,0571 0,0559
0,0808 0,0793 0,0778 0,0764 0,0749 0,0735 0,0721 0,0708 0,0694 0,0681
0,0968 0,0951 0,0934 0,0918 0,0901 0,0885 0,0869 0,0853 0,0838 0,0823
0,1151 0,1131 0,1112 0,1093 0,1075 0,1056 0,1038 0,1020 0,1003 0,0985
0,1357 0,1335 0,1314 0,1292 0,1271 0,1251 0,1230 0,1210 0,1190 0,1170
0,1587 0,1562 0,1539 0,1515 0,1492 0,1469 0,1446 0,1423 0,1401 0,1379
0,1841 0,1814 0,1788 0,1762 0,1736 0,1711 0,1685 0,1660 0,1635 0,1611
0,2119 0,2090 0,2061 0,2033 0,2005 0,1977 0,1949 0,1922 0,1894 0,1867
0,2420 0,2389 0,2358 0,2327 0,2296 0,2266 0,2236 0,2206 0,2177 0,2148
0,2743 0,2709 0,2676 0,2643 0,2611 0,2578 0,2546 0,2514 0,2483 0,2451
0,3085 0,3050 0,3015 0,2981 0,2946 0,2912 0,2877 0,2843 0,2810 0,2776
0,3446 0,3409 0,3372 0,3336 0,3300 0,3264 0,3228 0,3192 0,3156 0,3121
0,3821 0,3783 0,3745 0,3707 0,3669 0,3632 0,3594 0,3557 0,3520 0,3483
0,4207 0,4168 0,4129 0,4090 0,4052 0,4013 0,3974 0,3936 0,3897 0,3859
0,4602 0,4562 0,4522 0,4483 0,4443 0,4404 0,4364 0,4325 0,4286 0,4247
0,5000 0,4960 0,4920 0,4880 0,4840 0,4801 0,4761 0,4721 0,4681 0,4641-0,0
VALORES PERCENTILES, Z[p], DE LA DISTRIBUCIÓN NORMAL ESTANDAR, Z, CON MEDIA 0 Y DESVIACIÓN ESTÁNDAR 1.
Jose Rojas Fuentes
Página Nº 1
-0,6
-0,5
-0,4
-0,3
-0,2
-0,1
-1,2
-1,1
-1,0
-0,9
-0,8
-0,7
-1,8
-1,7
-1,6
-1,5
-1,4
-1,3
-2,4
-2,3
-2,2
-2,1
-2,0
-1,9
-3,0
-2,9
-2,8
-2,7
-2,6
-2,5
-3,6
-3,5
-3,4
-3,3
-3,2
-3,1
TABLAS DE DISTRIBUCIONES DE PROBABILIDAD
Z
-4,0
-3,9
-3,8
-3,7
( )2
21
( : 0; 1)2
z t
P Z z F Z e dtµ σπ
−
−∞
≤ = = = = ∫
( )0
0lim 0Z
P Z Z→−∞
≤ =
,00 ,01 ,02 ,03 ,04 ,05 ,06 ,07 ,08 ,09
0,5000 0,5040 0,5080 0,5120 0,5160 0,5199 0,5239 0,5279 0,5319 0,5359
0,5398 0,5438 0,5478 0,5517 0,5557 0,5596 0,5636 0,5675 0,5714 0,5753
0,5793 0,5832 0,5871 0,5910 0,5948 0,5987 0,6026 0,6064 0,6103 0,6141
0,6179 0,6217 0,6255 0,6293 0,6331 0,6368 0,6406 0,6443 0,6480 0,6517
0,6554 0,6591 0,6628 0,6664 0,6700 0,6736 0,6772 0,6808 0,6844 0,6879
0,6915 0,6950 0,6985 0,7019 0,7054 0,7088 0,7123 0,7157 0,7190 0,7224
0,7257 0,7291 0,7324 0,7357 0,7389 0,7422 0,7454 0,7486 0,7517 0,7549
0,7580 0,7611 0,7642 0,7673 0,7704 0,7734 0,7764 0,7794 0,7823 0,7852
0,7881 0,7910 0,7939 0,7967 0,7995 0,8023 0,8051 0,8078 0,8106 0,8133
0,8159 0,8186 0,8212 0,8238 0,8264 0,8289 0,8315 0,8340 0,8365 0,8389
0,8413 0,8438 0,8461 0,8485 0,8508 0,8531 0,8554 0,8577 0,8599 0,8621
0,8643 0,8665 0,8686 0,8708 0,8729 0,8749 0,8770 0,8790 0,8810 0,8830
0,8849 0,8869 0,8888 0,8907 0,8925 0,8944 0,8962 0,8980 0,8997 0,9015
0,9032 0,9049 0,9066 0,9082 0,9099 0,9115 0,9131 0,9147 0,9162 0,9177
0,9192 0,9207 0,9222 0,9236 0,9251 0,9265 0,9279 0,9292 0,9306 0,9319
0,9332 0,9345 0,9357 0,9370 0,9382 0,9394 0,9406 0,9418 0,9429 0,9441
0,9452 0,9463 0,9474 0,9484 0,9495 0,9505 0,9515 0,9525 0,9535 0,9545
0,9554 0,9564 0,9573 0,9582 0,9591 0,9599 0,9608 0,9616 0,9625 0,9633
0,9641 0,9649 0,9656 0,9664 0,9671 0,9678 0,9686 0,9693 0,9699 0,9706
0,9713 0,9719 0,9726 0,9732 0,9738 0,9744 0,9750 0,9756 0,9761 0,9767
0,9772 0,9778 0,9783 0,9788 0,9793 0,9798 0,9803 0,9808 0,9812 0,9817
0,9821 0,9826 0,9830 0,9834 0,9838 0,9842 0,9846 0,9850 0,9854 0,9857
0,9861 0,9864 0,9868 0,9871 0,9875 0,9878 0,9881 0,9884 0,9887 0,9890
0,9893 0,9896 0,9898 0,9901 0,9904 0,9906 0,9909 0,9911 0,9913 0,9916
0,9918 0,9920 0,9922 0,9925 0,9927 0,9929 0,9931 0,9932 0,9934 0,9936
0,9938 0,9940 0,9941 0,9943 0,9945 0,9946 0,9948 0,9949 0,9951 0,9952
0,9953 0,9955 0,9956 0,9957 0,9959 0,9960 0,9961 0,9962 0,9963 0,9964
0,9965 0,9966 0,9967 0,9968 0,9969 0,9970 0,9971 0,9972 0,9973 0,9974
0,9974 0,9975 0,9976 0,9977 0,9977 0,9978 0,9979 0,9979 0,9980 0,9981
0,9981 0,9982 0,9982 0,9983 0,9984 0,9984 0,9985 0,9985 0,9986 0,9986
0,9987 0,9987 0,9987 0,9988 0,9988 0,9989 0,9989 0,9989 0,9990 0,9990
0,9990 0,9991 0,9991 0,9991 0,9992 0,9992 0,9992 0,9992 0,9993 0,9993
0,9993 0,9993 0,9994 0,9994 0,9994 0,9994 0,9994 0,9995 0,9995 0,9995
0,9995 0,9995 0,9995 0,9996 0,9996 0,9996 0,9996 0,9996 0,9996 0,9997
0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9997 0,9998
0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998 0,9998
0,9998 0,9998 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999
0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999
0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999 0,9999
1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000
1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000 1,0000
Z
0,0
0,1
0,2
0,3
0,4
0,5
0,6
0,7
0,8
0,9
1,0
1,1
1,2
1,3
1,4
1,5
1,6
3,1
1,7
1,8
1,9
2,0
2,1
2,2
3,6
2,3
2,4
2,5
2,6
3,8
2,7
2,8
2,9
3,0
3,7
3,2
3,9
4,0
Página Nº 2
VALORES PERCENTILES, Z[p], DE LA DISTRIBUCIÓN NORMAL ESTANDAR, Z, CON MEDIA 0 Y DESVIACIÓN ESTÁNDAR 1 (CONTINUACIÓN).
3,3
3,4
3,5
( )0
0lim 1Z
P Z Z→+∞
≤ =
( )2
21
( : 0; 1)2
z t
P Z z F Z e dtµ σπ
−
−∞
≤ = = = = ∫
0,0000 0,0000 0,0010 0,0039 0,0158 0,1015 1,3233 2,7055 3,8415 5,0239 6,6349 7,8794
0,0100 0,0201 0,0506 0,1026 0,2107 0,5754 2,7726 4,6052 5,9915 7,3778 9,2103 10,597
0,0717 0,1148 0,2158 0,3518 0,5844 1,2125 4,1083 6,2514 7,8147 9,3484 11,345 12,838
0,2070 0,2971 0,4844 0,7107 1,0636 1,9226 5,3853 7,7794 9,4877 11,143 13,277 14,860
0,4117 0,5543 0,8312 1,1455 1,6103 2,6746 6,6257 9,2364 11,070 12,833 15,086 16,750
0,6757 0,8721 1,2373 1,6354 2,2041 3,4546 7,8408 10,645 12,592 14,449 16,812 18,548
0,9893 1,2390 1,6899 2,1673 2,8331 4,2549 9,0371 12,017 14,067 16,013 18,475 20,278
1,3444 1,6465 2,1797 2,7326 3,4895 5,0706 10,219 13,362 15,507 17,535 20,090 21,955
1,7349 2,0879 2,7004 3,3251 4,1682 5,8988 11,389 14,684 16,919 19,023 21,666 23,589
2,1559 2,5582 3,2470 3,9403 4,8652 6,7372 12,549 15,987 18,307 20,483 23,209 25,188
2,6032 3,0535 3,8157 4,5748 5,5778 7,5841 13,701 17,275 19,675 21,920 24,725 26,757
3,0738 3,5706 4,4038 5,2260 6,3038 8,4384 14,845 18,549 21,026 23,337 26,217 28,300
3,5650 4,1069 5,0088 5,8919 7,0415 9,2991 15,984 19,812 22,362 24,736 27,688 29,819
4,0747 4,6604 5,6287 6,5706 7,7895 10,165 17,117 21,064 23,685 26,119 29,141 31,319
4,6009 5,2293 6,2621 7,2609 8,5468 11,037 18,245 22,307 24,996 27,488 30,578 32,801
5,1422 5,8122 6,9077 7,9616 9,3122 11,912 19,369 23,542 26,296 28,845 32,000 34,267
5,6972 6,4078 7,5642 8,6718 10,085 12,792 20,489 24,769 27,587 30,191 33,409 35,718
6,2648 7,0149 8,2307 9,3905 10,865 13,675 21,605 25,989 28,869 31,526 34,805 37,156
6,8440 7,6327 8,9065 10,117 11,651 14,562 22,718 27,204 30,144 32,852 36,191 38,582
7,4338 8,2604 9,5908 10,851 12,443 15,452 23,828 28,412 31,410 34,170 37,566 39,997
8,0337 8,8972 10,283 11,591 13,240 16,344 24,935 29,615 32,671 35,479 38,932 41,401
8,6427 9,5425 10,982 12,338 14,041 17,240 26,039 30,813 33,924 36,781 40,289 42,796
9,2604 10,196 11,689 13,091 14,848 18,137 27,141 32,007 35,172 38,076 41,638 44,181
9,8862 10,856 12,401 13,848 15,659 19,037 28,241 33,196 36,415 39,364 42,980 45,559
10,520 11,524 13,120 14,611 16,473 19,939 29,339 34,382 37,652 40,646 44,314 46,928
11,160 12,198 13,844 15,379 17,292 20,843 30,435 35,563 38,885 41,923 45,642 48,290
11,808 12,879 14,573 16,151 18,114 21,749 31,528 36,741 40,113 43,195 46,963 49,645
12,461 13,565 15,308 16,928 18,939 22,657 32,620 37,916 41,337 44,461 48,278 50,993
13,121 14,256 16,047 17,708 19,768 23,567 33,711 39,087 42,557 45,722 49,588 52,336
13,787 14,953 16,791 18,493 20,599 24,478 34,800 40,256 43,773 46,979 50,892 53,672
14,458 15,655 17,539 19,281 21,434 25,390 35,887 41,422 44,985 48,232 52,191 55,003
15,134 16,362 18,291 20,072 22,271 26,304 36,973 42,585 46,194 49,480 53,486 56,328
15,815 17,074 19,047 20,867 23,110 27,219 38,058 43,745 47,400 50,725 54,776 57,648
16,501 17,789 19,806 21,664 23,952 28,136 39,141 44,903 48,602 51,966 56,061 58,964
17,192 18,509 20,569 22,465 24,797 29,054 40,223 46,059 49,802 53,203 57,342 60,275
17,887 19,233 21,336 23,269 25,643 29,973 41,304 47,212 50,998 54,437 58,619 61,581
18,586 19,960 22,106 24,075 26,492 30,893 42,383 48,363 52,192 55,668 59,893 62,883
19,289 20,691 22,878 24,884 27,343 31,815 43,462 49,513 53,384 56,896 61,162 64,181
19,996 21,426 23,654 25,695 28,196 32,737 44,539 50,660 54,572 58,120 62,428 65,476
20,707 22,164 24,433 26,509 29,051 33,660 45,616 51,805 55,758 59,342 63,691 66,766
21,421 22,906 25,215 27,326 29,907 34,585 46,692 52,949 56,942 60,561 64,950 68,053
22,138 23,650 25,999 28,144 30,765 35,510 47,766 54,090 58,124 61,777 66,206 69,336
22,859 24,398 26,785 28,965 31,625 36,436 48,840 55,230 59,304 62,990 67,459 70,616
23,584 25,148 27,575 29,787 32,487 37,363 49,913 56,369 60,481 64,201 68,710 71,893
24,311 25,901 28,366 30,612 33,350 38,291 50,985 57,505 61,656 65,410 69,957 73,166
25,041 26,657 29,160 31,439 34,215 39,220 52,056 58,641 62,830 66,617 71,201 74,437
25,775 27,416 29,956 32,268 35,081 40,149 53,127 59,774 64,001 67,821 72,443 75,704
26,511 28,177 30,755 33,098 35,949 41,079 54,196 60,907 65,171 69,023 73,683 76,969
27,249 28,941 31,555 33,930 36,818 42,010 55,265 62,038 66,339 70,222 74,919 78,231
27,991 29,707 32,357 34,764 37,689 42,942 56,334 63,167 67,505 71,420 76,154 79,490
28,735 30,475 33,162 35,600 38,560 43,874 57,401 64,295 68,669 72,616 77,386 80,747
29,481 31,246 33,968 36,437 39,433 44,808 58,468 65,422 69,832 73,810 78,616 82,001
30,230 32,018 34,776 37,276 40,308 45,741 59,534 66,548 70,993 75,002 79,843 83,253
30,981 32,793 35,586 38,116 41,183 46,676 60,600 67,673 72,153 76,192 81,069 84,502
31,735 33,570 36,398 38,958 42,060 47,610 61,665 68,796 73,311 77,380 82,292 85,749
32,490 34,350 37,212 39,801 42,937 48,546 62,729 69,919 74,468 78,567 83,513 86,994
33,248 35,131 38,027 40,646 43,816 49,482 63,793 71,040 75,624 79,752 84,733 88,236
34,008 35,913 38,844 41,492 44,696 50,419 64,857 72,160 76,778 80,936 85,950 89,477
34,770 36,698 39,662 42,339 45,577 51,356 65,919 73,279 77,931 82,117 87,166 90,715
35,534 37,485 40,482 43,188 46,459 52,294 66,981 74,397 79,082 83,298 88,379 91,952
0,9900,950 0,975 0,9950,010 0,025 0,050 0,100 0,250 0,750 0,900
59
60
v
53
54
55
56
57
58
47
48
49
50
51
52
41
42
43
44
45
46
40
29
30
31
32
33
34
35
36
37
38
39
28
13
14
15
16
17
18
21
22
23
24
25
26
27
19
20
Página Nº 3
9
10
11
12
VALORES PERCENTILES, , DE LA
DISTRIBUCIÓN CHI CUADRADO CON "v " GRADOS DE LIBERTAD .
6
7
8
1
2
3
4
5
p0,005
( )( )
2:
12 2 2 2:
20
1
2 2
pX
pP X e dX p
νχν
ν ν νχ χν
−−≤ = =
Γ∫
2 ( )χ ν
36,301 38,273 41,303 44,038 47,342 53,232 68,043 75,514 80,232 84,476 89,591 93,186
37,068 39,063 42,126 44,889 48,226 54,171 69,104 76,630 81,381 85,654 90,802 94,419
37,838 39,855 42,950 45,741 49,111 55,110 70,165 77,745 82,529 86,830 92,010 95,649
38,610 40,649 43,776 46,595 49,996 56,050 71,225 78,860 83,675 88,004 93,217 96,878
39,383 41,444 44,603 47,450 50,883 56,990 72,285 79,973 84,821 89,177 94,422 98,105
40,158 42,240 45,431 48,305 51,770 57,931 73,344 81,085 85,965 90,349 95,626 99,330
40,935 43,038 46,261 49,162 52,659 58,872 74,403 82,197 87,108 91,519 96,828 100,55
41,713 43,838 47,092 50,020 53,548 59,814 75,461 83,308 88,250 92,689 98,028 101,78
42,494 44,639 47,924 50,879 54,438 60,756 76,519 84,418 89,391 93,856 99,228 103,00
43,275 45,442 48,758 51,739 55,329 61,698 77,577 85,527 90,531 95,023 100,43 104,21
44,058 46,246 49,592 52,600 56,221 62,641 78,634 86,635 91,670 96,189 101,62 105,43
44,843 47,051 50,428 53,462 57,113 63,585 79,690 87,743 92,808 97,353 102,82 106,65
45,629 47,858 51,265 54,325 58,006 64,528 80,747 88,850 93,945 98,516 104,01 107,86
46,417 48,666 52,103 55,189 58,900 65,472 81,803 89,956 95,081 99,678 105,20 109,07
47,206 49,475 52,942 56,054 59,795 66,417 82,858 91,061 96,217 100,84 106,39 110,29
47,997 50,286 53,782 56,920 60,690 67,362 83,913 92,166 97,351 102,00 107,58 111,50
48,788 51,097 54,623 57,786 61,586 68,307 84,968 93,270 98,484 103,16 108,77 112,70
49,582 51,910 55,466 58,654 62,483 69,252 86,022 94,374 99,617 104,32 109,96 113,91
50,376 52,725 56,309 59,522 63,380 70,198 87,077 95,476 100,75 105,47 111,14 115,12
51,172 53,540 57,153 60,391 64,278 71,145 88,130 96,578 101,88 106,63 112,33 116,32
51,969 54,357 57,998 61,261 65,176 72,091 89,184 97,680 103,01 107,78 113,51 117,52
52,767 55,174 58,845 62,132 66,076 73,038 90,237 98,780 104,14 108,94 114,69 118,73
53,567 55,993 59,692 63,004 66,976 73,985 91,289 99,880 105,27 110,09 115,88 119,93
54,368 56,813 60,540 63,876 67,876 74,933 92,342 100,98 106,39 111,24 117,06 121,13
55,170 57,634 61,389 64,749 68,777 75,881 93,394 102,08 107,52 112,39 118,24 122,32
55,973 58,456 62,239 65,623 69,679 76,829 94,446 103,18 108,65 113,54 119,41 123,52
56,777 59,279 63,089 66,498 70,581 77,777 95,497 104,28 109,77 114,69 120,59 124,72
57,582 60,103 63,941 67,373 71,484 78,726 96,548 105,37 110,90 115,84 121,77 125,91
58,389 60,928 64,793 68,249 72,387 79,675 97,599 106,47 112,02 116,99 122,94 127,11
59,196 61,754 65,647 69,126 73,291 80,625 98,650 107,57 113,15 118,14 124,12 128,30
60,005 62,581 66,501 70,003 74,196 81,574 99,700 108,66 114,27 119,28 125,29 129,49
60,815 63,409 67,356 70,882 75,100 82,524 100,75 109,76 115,39 120,43 126,46 130,68
61,625 64,238 68,211 71,760 76,006 83,474 101,80 110,85 116,51 121,57 127,63 131,87
62,437 65,068 69,068 72,640 76,912 84,425 102,85 111,94 117,63 122,72 128,80 133,06
63,250 65,898 69,925 73,520 77,818 85,376 103,90 113,04 118,75 123,86 129,97 134,25
64,063 66,730 70,783 74,401 78,725 86,327 104,95 114,13 119,87 125,00 131,14 135,43
64,878 67,562 71,642 75,282 79,633 87,278 106,00 115,22 120,99 126,14 132,31 136,62
65,694 68,396 72,501 76,164 80,541 88,229 107,05 116,32 122,11 127,28 133,48 137,80
66,510 69,230 73,361 77,046 81,449 89,181 108,09 117,41 123,23 128,42 134,64 138,99
67,328 70,065 74,222 77,929 82,358 90,133 109,14 118,50 124,34 129,56 135,81 140,17
68,965 71,737 75,946 79,697 84,177 92,038 111,24 120,68 126,57 131,84 138,13 142,53
70,606 73,413 77,672 81,468 85,998 93,944 113,33 122,86 128,80 134,11 140,46 144,89
72,251 75,092 79,401 83,240 87,821 95,850 115,42 125,04 131,03 136,38 142,78 147,25
73,899 76,774 81,133 85,015 89,645 97,758 117,52 127,21 133,26 138,65 145,10 149,60
75,550 78,458 82,867 86,792 91,471 99,666 119,61 129,39 135,48 140,92 147,41 151,95
77,204 80,146 84,604 88,570 93,299 101,58 121,70 131,56 137,70 143,18 149,73 154,29
78,862 81,836 86,342 90,351 95,128 103,49 123,79 133,73 139,92 145,44 152,04 156,64
80,522 83,529 88,084 92,134 96,958 105,40 125,88 135,90 142,14 147,70 154,34 158,98
82,185 85,225 89,827 93,918 98,790 107,31 127,97 138,07 144,35 149,96 156,65 161,31
83,852 86,923 91,573 95,705 100,62 109,22 130,05 140,23 146,57 152,21 158,95 163,65
85,520 88,624 93,320 97,493 102,46 111,13 132,14 142,40 148,78 154,46 161,25 165,98
87,192 90,327 95,070 99,283 104,29 113,05 134,23 144,56 150,99 156,71 163,55 168,31
88,866 92,033 96,822 101,07 106,13 114,96 136,31 146,72 153,20 158,96 165,84 170,63
90,543 93,741 98,576 102,87 107,97 116,88 138,40 148,89 155,40 161,21 168,13 172,96
92,222 95,451 100,33 104,66 109,81 118,79 140,48 151,05 157,61 163,45 170,42 175,28
93,904 97,163 102,09 106,46 111,65 120,71 142,57 153,20 159,81 165,70 172,71 177,60
95,588 98,878 103,85 108,26 113,49 122,63 144,65 155,36 162,02 167,94 175,00 179,91
97,275 100,59 105,61 110,06 115,34 124,54 146,73 157,52 164,22 170,18 177,28 182,23
98,964 102,31 107,37 111,86 117,18 126,46 148,81 159,67 166,42 172,41 179,56 184,54
100,65 104,03 109,14 113,66 119,03 128,38 150,89 161,83 168,61 174,65 181,84 186,85
102,35 105,76 110,90 115,46 120,88 130,30 152,97 163,98 170,81 176,88 184,12 189,15
104,04 107,48 112,67 117,27 122,72 132,22 155,05 166,13 173,00 179,11 186,39 191,46
105,74 109,21 114,44 119,07 124,57 134,14 157,13 168,28 175,20 181,34 188,67 193,76
107,44 110,94 116,21 120,88 126,42 136,06 159,21 170,43 177,39 183,57 190,94 196,06
109,14 112,67 117,98 122,69 128,28 137,98 161,29 172,58 179,58 185,80 193,21 198,36
152,24 156,43 162,73 168,28 174,84 186,17 213,10 226,02 233,99 241,06 249,45 255,26
240,66 245,97 253,91 260,88 269,07 283,14 316,14 331,79 341,40 349,87 359,91 366,84
330,90 337,16 346,48 354,64 364,21 380,58 418,70 436,65 447,63 457,31 468,72 476,61
422,30 429,39 439,94 449,15 459,93 478,32 520,95 540,93 553,13 563,85 576,49 585,21
700,73 709,90 723,51 735,36 749,19 772,67 826,60 851,67 866,91 880,28 895,98 906,79
794,47 804,25 818,76 831,37 846,07 871,03 928,24 954,78 970,90 985,03 1001,6 1013,0
0,995v
0,975 0,9900,750 0,900 0,950
144
146
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN CHI CUADRADO
p0,005 0,010 0,025 0,050 0,100 0,250
130
132
Página Nº 4
800
900
148
150
200
300
400
500
136
138
140
142
134
122
100
102
104
106
108
110
112
114
116
118
120
124
126
128
99
88
89
90
91
92
93
94
95
96
97
98
87
76
77
78
79
80
81
82
83
84
85
86
61
62
63
75
64
65
66
67
68
69
70
71
72
73
74
2 ( )χ ν
-63,657 -31,821 -12,706 -6,3138 -3,0777 -1,0000 1,0000 3,0777 6,3138 12,706 31,821 63,657
-9,9248 -6,9646 -4,3027 -2,9200 -1,8856 -0,8165 0,8165 1,8856 2,9200 4,3027 6,9646 9,9248
-5,8409 -4,5407 -3,1824 -2,3534 -1,6377 -0,7649 0,7649 1,6377 2,3534 3,1824 4,5407 5,8409
-4,6041 -3,7469 -2,7764 -2,1318 -1,5332 -0,7407 0,7407 1,5332 2,1318 2,7764 3,7469 4,6041
-4,0321 -3,3649 -2,5706 -2,0150 -1,4759 -0,7267 0,7267 1,4759 2,0150 2,5706 3,3649 4,0321
-3,7074 -3,1427 -2,4469 -1,9432 -1,4398 -0,7176 0,7176 1,4398 1,9432 2,4469 3,1427 3,7074
-3,4995 -2,9980 -2,3646 -1,8946 -1,4149 -0,7111 0,7111 1,4149 1,8946 2,3646 2,9980 3,4995
-3,3554 -2,8965 -2,3060 -1,8595 -1,3968 -0,7064 0,7064 1,3968 1,8595 2,3060 2,8965 3,3554
-3,2498 -2,8214 -2,2622 -1,8331 -1,3830 -0,7027 0,7027 1,3830 1,8331 2,2622 2,8214 3,2498
-3,1693 -2,7638 -2,2281 -1,8125 -1,3722 -0,6998 0,6998 1,3722 1,8125 2,2281 2,7638 3,1693
-3,1058 -2,7181 -2,2010 -1,7959 -1,3634 -0,6974 0,6974 1,3634 1,7959 2,2010 2,7181 3,1058
-3,0545 -2,6810 -2,1788 -1,7823 -1,3562 -0,6955 0,6955 1,3562 1,7823 2,1788 2,6810 3,0545
-3,0123 -2,6503 -2,1604 -1,7709 -1,3502 -0,6938 0,6938 1,3502 1,7709 2,1604 2,6503 3,0123
-2,9768 -2,6245 -2,1448 -1,7613 -1,3450 -0,6924 0,6924 1,3450 1,7613 2,1448 2,6245 2,9768
-2,9467 -2,6025 -2,1314 -1,7531 -1,3406 -0,6912 0,6912 1,3406 1,7531 2,1314 2,6025 2,9467
-2,9208 -2,5835 -2,1199 -1,7459 -1,3368 -0,6901 0,6901 1,3368 1,7459 2,1199 2,5835 2,9208
-2,8982 -2,5669 -2,1098 -1,7396 -1,3334 -0,6892 0,6892 1,3334 1,7396 2,1098 2,5669 2,8982
-2,8784 -2,5524 -2,1009 -1,7341 -1,3304 -0,6884 0,6884 1,3304 1,7341 2,1009 2,5524 2,8784
-2,8609 -2,5395 -2,0930 -1,7291 -1,3277 -0,6876 0,6876 1,3277 1,7291 2,0930 2,5395 2,8609
-2,8453 -2,5280 -2,0860 -1,7247 -1,3253 -0,6870 0,6870 1,3253 1,7247 2,0860 2,5280 2,8453
-2,8314 -2,5176 -2,0796 -1,7207 -1,3232 -0,6864 0,6864 1,3232 1,7207 2,0796 2,5176 2,8314
-2,8188 -2,5083 -2,0739 -1,7171 -1,3212 -0,6858 0,6858 1,3212 1,7171 2,0739 2,5083 2,8188
-2,8073 -2,4999 -2,0687 -1,7139 -1,3195 -0,6853 0,6853 1,3195 1,7139 2,0687 2,4999 2,8073
-2,7969 -2,4922 -2,0639 -1,7109 -1,3178 -0,6848 0,6848 1,3178 1,7109 2,0639 2,4922 2,7969
-2,7874 -2,4851 -2,0595 -1,7081 -1,3163 -0,6844 0,6844 1,3163 1,7081 2,0595 2,4851 2,7874
-2,7787 -2,4786 -2,0555 -1,7056 -1,3150 -0,6840 0,6840 1,3150 1,7056 2,0555 2,4786 2,7787
-2,7707 -2,4727 -2,0518 -1,7033 -1,3137 -0,6837 0,6837 1,3137 1,7033 2,0518 2,4727 2,7707
-2,7633 -2,4671 -2,0484 -1,7011 -1,3125 -0,6834 0,6834 1,3125 1,7011 2,0484 2,4671 2,7633
-2,7564 -2,4620 -2,0452 -1,6991 -1,3114 -0,6830 0,6830 1,3114 1,6991 2,0452 2,4620 2,7564
-2,7500 -2,4573 -2,0423 -1,6973 -1,3104 -0,6828 0,6828 1,3104 1,6973 2,0423 2,4573 2,7500
-2,7440 -2,4528 -2,0395 -1,6955 -1,3095 -0,6825 0,6825 1,3095 1,6955 2,0395 2,4528 2,7440
-2,7385 -2,4487 -2,0369 -1,6939 -1,3086 -0,6822 0,6822 1,3086 1,6939 2,0369 2,4487 2,7385
-2,7333 -2,4448 -2,0345 -1,6924 -1,3077 -0,6820 0,6820 1,3077 1,6924 2,0345 2,4448 2,7333
-2,7284 -2,4411 -2,0322 -1,6909 -1,3070 -0,6818 0,6818 1,3070 1,6909 2,0322 2,4411 2,7284
-2,7238 -2,4377 -2,0301 -1,6896 -1,3062 -0,6816 0,6816 1,3062 1,6896 2,0301 2,4377 2,7238
-2,7195 -2,4345 -2,0281 -1,6883 -1,3055 -0,6814 0,6814 1,3055 1,6883 2,0281 2,4345 2,7195
-2,7154 -2,4314 -2,0262 -1,6871 -1,3049 -0,6812 0,6812 1,3049 1,6871 2,0262 2,4314 2,7154
-2,7116 -2,4286 -2,0244 -1,6860 -1,3042 -0,6810 0,6810 1,3042 1,6860 2,0244 2,4286 2,7116
-2,7079 -2,4258 -2,0227 -1,6849 -1,3036 -0,6808 0,6808 1,3036 1,6849 2,0227 2,4258 2,7079
-2,7045 -2,4233 -2,0211 -1,6839 -1,3031 -0,6807 0,6807 1,3031 1,6839 2,0211 2,4233 2,7045
-2,7012 -2,4208 -2,0195 -1,6829 -1,3025 -0,6805 0,6805 1,3025 1,6829 2,0195 2,4208 2,7012
-2,6981 -2,4185 -2,0181 -1,6820 -1,3020 -0,6804 0,6804 1,3020 1,6820 2,0181 2,4185 2,6981
-2,6951 -2,4163 -2,0167 -1,6811 -1,3016 -0,6802 0,6802 1,3016 1,6811 2,0167 2,4163 2,6951
-2,6923 -2,4141 -2,0154 -1,6802 -1,3011 -0,6801 0,6801 1,3011 1,6802 2,0154 2,4141 2,6923
-2,6896 -2,4121 -2,0141 -1,6794 -1,3006 -0,6800 0,6800 1,3006 1,6794 2,0141 2,4121 2,6896
-2,6870 -2,4102 -2,0129 -1,6787 -1,3002 -0,6799 0,6799 1,3002 1,6787 2,0129 2,4102 2,6870
-2,6846 -2,4083 -2,0117 -1,6779 -1,2998 -0,6797 0,6797 1,2998 1,6779 2,0117 2,4083 2,6846
-2,6822 -2,4066 -2,0106 -1,6772 -1,2994 -0,6796 0,6796 1,2994 1,6772 2,0106 2,4066 2,6822
-2,6800 -2,4049 -2,0096 -1,6766 -1,2991 -0,6795 0,6795 1,2991 1,6766 2,0096 2,4049 2,6800
-2,6778 -2,4033 -2,0086 -1,6759 -1,2987 -0,6794 0,6794 1,2987 1,6759 2,0086 2,4033 2,6778
-2,6757 -2,4017 -2,0076 -1,6753 -1,2984 -0,6793 0,6793 1,2984 1,6753 2,0076 2,4017 2,6757
-2,6737 -2,4002 -2,0066 -1,6747 -1,2980 -0,6792 0,6792 1,2980 1,6747 2,0066 2,4002 2,6737
-2,6718 -2,3988 -2,0057 -1,6741 -1,2977 -0,6791 0,6791 1,2977 1,6741 2,0057 2,3988 2,6718
-2,6700 -2,3974 -2,0049 -1,6736 -1,2974 -0,6791 0,6791 1,2974 1,6736 2,0049 2,3974 2,6700
-2,6682 -2,3961 -2,0040 -1,6730 -1,2971 -0,6790 0,6790 1,2971 1,6730 2,0040 2,3961 2,6682
-2,6665 -2,3948 -2,0032 -1,6725 -1,2969 -0,6789 0,6789 1,2969 1,6725 2,0032 2,3948 2,6665
-2,6649 -2,3936 -2,0025 -1,6720 -1,2966 -0,6788 0,6788 1,2966 1,6720 2,0025 2,3936 2,6649
-2,6633 -2,3924 -2,0017 -1,6716 -1,2963 -0,6787 0,6787 1,2963 1,6716 2,0017 2,3924 2,6633
-2,6618 -2,3912 -2,0010 -1,6711 -1,2961 -0,6787 0,6787 1,2961 1,6711 2,0010 2,3912 2,6618
-2,6603 -2,3901 -2,0003 -1,6706 -1,2958 -0,6786 0,6786 1,2958 1,6706 2,0003 2,3901 2,6603
0,975 0,990 0,995v
0,250 0,750 0,900p
0,005 0,010 0,9500,050 0,1000,025
59
60
53
54
55
56
57
58
47
48
49
50
51
52
41
42
43
44
45
46
40
29
30
31
32
33
34
35
36
13
14
15
16
17
18
24
25
26
37
38
39
28
27
19
20
9
10
11
12
21
22
23
Página Nº 5
VALORES PERCENTILES, , DE LA
DISTRIBUCIÓN T DE STUDENT CON "v " GRADOS DE LIBERTAD .
6
7
8
1
2
3
4
5
[ ]1
[ : ] 2 2
11 2
( ) ( : ) 1
2
t pt
P t t p dt p
νν
ν
ν νν ννπ
+−
−∞
+ Γ ≤ = + = Γ
∫
( )T ν
0,005 0,010 0,025 0,050 0,100 0,250 0,750 0,900 0,950 0,975 0,990 0,995
-2,6589 -2,3890 -1,9996 -1,6702 -1,2956 -0,6785 0,6785 1,2956 1,6702 1,9996 2,3890 2,6589
-2,6575 -2,3880 -1,9990 -1,6698 -1,2954 -0,6785 0,6785 1,2954 1,6698 1,9990 2,3880 2,6575
-2,6561 -2,3870 -1,9983 -1,6694 -1,2951 -0,6784 0,6784 1,2951 1,6694 1,9983 2,3870 2,6561
-2,6549 -2,3860 -1,9977 -1,6690 -1,2949 -0,6783 0,6783 1,2949 1,6690 1,9977 2,3860 2,6549
-2,6536 -2,3851 -1,9971 -1,6686 -1,2947 -0,6783 0,6783 1,2947 1,6686 1,9971 2,3851 2,6536
-2,6524 -2,3842 -1,9966 -1,6683 -1,2945 -0,6782 0,6782 1,2945 1,6683 1,9966 2,3842 2,6524
-2,6512 -2,3833 -1,9960 -1,6679 -1,2943 -0,6782 0,6782 1,2943 1,6679 1,9960 2,3833 2,6512
-2,6501 -2,3824 -1,9955 -1,6676 -1,2941 -0,6781 0,6781 1,2941 1,6676 1,9955 2,3824 2,6501
-2,6490 -2,3816 -1,9949 -1,6672 -1,2939 -0,6781 0,6781 1,2939 1,6672 1,9949 2,3816 2,6490
-2,6479 -2,3808 -1,9944 -1,6669 -1,2938 -0,6780 0,6780 1,2938 1,6669 1,9944 2,3808 2,6479
-2,6469 -2,3800 -1,9939 -1,6666 -1,2936 -0,6780 0,6780 1,2936 1,6666 1,9939 2,3800 2,6469
-2,6459 -2,3793 -1,9935 -1,6663 -1,2934 -0,6779 0,6779 1,2934 1,6663 1,9935 2,3793 2,6459
-2,6449 -2,3785 -1,9930 -1,6660 -1,2933 -0,6779 0,6779 1,2933 1,6660 1,9930 2,3785 2,6449
-2,6439 -2,3778 -1,9925 -1,6657 -1,2931 -0,6778 0,6778 1,2931 1,6657 1,9925 2,3778 2,6439
-2,6430 -2,3771 -1,9921 -1,6654 -1,2929 -0,6778 0,6778 1,2929 1,6654 1,9921 2,3771 2,6430
-2,6421 -2,3764 -1,9917 -1,6652 -1,2928 -0,6777 0,6777 1,2928 1,6652 1,9917 2,3764 2,6421
-2,6412 -2,3758 -1,9913 -1,6649 -1,2926 -0,6777 0,6777 1,2926 1,6649 1,9913 2,3758 2,6412
-2,6403 -2,3751 -1,9908 -1,6646 -1,2925 -0,6776 0,6776 1,2925 1,6646 1,9908 2,3751 2,6403
-2,6395 -2,3745 -1,9905 -1,6644 -1,2924 -0,6776 0,6776 1,2924 1,6644 1,9905 2,3745 2,6395
-2,6387 -2,3739 -1,9901 -1,6641 -1,2922 -0,6776 0,6776 1,2922 1,6641 1,9901 2,3739 2,6387
-2,6379 -2,3733 -1,9897 -1,6639 -1,2921 -0,6775 0,6775 1,2921 1,6639 1,9897 2,3733 2,6379
-2,6371 -2,3727 -1,9893 -1,6636 -1,2920 -0,6775 0,6775 1,2920 1,6636 1,9893 2,3727 2,6371
-2,6364 -2,3721 -1,9890 -1,6634 -1,2918 -0,6775 0,6775 1,2918 1,6634 1,9890 2,3721 2,6364
-2,6356 -2,3716 -1,9886 -1,6632 -1,2917 -0,6774 0,6774 1,2917 1,6632 1,9886 2,3716 2,6356
-2,6349 -2,3710 -1,9883 -1,6630 -1,2916 -0,6774 0,6774 1,2916 1,6630 1,9883 2,3710 2,6349
-2,6342 -2,3705 -1,9879 -1,6628 -1,2915 -0,6774 0,6774 1,2915 1,6628 1,9879 2,3705 2,6342
-2,6335 -2,3700 -1,9876 -1,6626 -1,2914 -0,6773 0,6773 1,2914 1,6626 1,9876 2,3700 2,6335
-2,6329 -2,3695 -1,9873 -1,6624 -1,2912 -0,6773 0,6773 1,2912 1,6624 1,9873 2,3695 2,6329
-2,6322 -2,3690 -1,9870 -1,6622 -1,2911 -0,6773 0,6773 1,2911 1,6622 1,9870 2,3690 2,6322
-2,6316 -2,3685 -1,9867 -1,6620 -1,2910 -0,6772 0,6772 1,2910 1,6620 1,9867 2,3685 2,6316
-2,6309 -2,3680 -1,9864 -1,6618 -1,2909 -0,6772 0,6772 1,2909 1,6618 1,9864 2,3680 2,6309
-2,6303 -2,3676 -1,9861 -1,6616 -1,2908 -0,6772 0,6772 1,2908 1,6616 1,9861 2,3676 2,6303
-2,6297 -2,3671 -1,9858 -1,6614 -1,2907 -0,6771 0,6771 1,2907 1,6614 1,9858 2,3671 2,6297
-2,6291 -2,3667 -1,9855 -1,6612 -1,2906 -0,6771 0,6771 1,2906 1,6612 1,9855 2,3667 2,6291
-2,6286 -2,3662 -1,9853 -1,6611 -1,2905 -0,6771 0,6771 1,2905 1,6611 1,9853 2,3662 2,6286
-2,6280 -2,3658 -1,9850 -1,6609 -1,2904 -0,6771 0,6771 1,2904 1,6609 1,9850 2,3658 2,6280
-2,6275 -2,3654 -1,9847 -1,6607 -1,2903 -0,6770 0,6770 1,2903 1,6607 1,9847 2,3654 2,6275
-2,6269 -2,3650 -1,9845 -1,6606 -1,2902 -0,6770 0,6770 1,2902 1,6606 1,9845 2,3650 2,6269
-2,6264 -2,3646 -1,9842 -1,6604 -1,2902 -0,6770 0,6770 1,2902 1,6604 1,9842 2,3646 2,6264
-2,6259 -2,3642 -1,9840 -1,6602 -1,2901 -0,6770 0,6770 1,2901 1,6602 1,9840 2,3642 2,6259
-2,6249 -2,3635 -1,9835 -1,6599 -1,2899 -0,6769 0,6769 1,2899 1,6599 1,9835 2,3635 2,6249
-2,6239 -2,3627 -1,9830 -1,6596 -1,2897 -0,6769 0,6769 1,2897 1,6596 1,9830 2,3627 2,6239
-2,6230 -2,3620 -1,9826 -1,6594 -1,2896 -0,6768 0,6768 1,2896 1,6594 1,9826 2,3620 2,6230
-2,6221 -2,3614 -1,9822 -1,6591 -1,2894 -0,6768 0,6768 1,2894 1,6591 1,9822 2,3614 2,6221
-2,6213 -2,3607 -1,9818 -1,6588 -1,2893 -0,6767 0,6767 1,2893 1,6588 1,9818 2,3607 2,6213
-2,6204 -2,3601 -1,9814 -1,6586 -1,2892 -0,6767 0,6767 1,2892 1,6586 1,9814 2,3601 2,6204
-2,6196 -2,3595 -1,9810 -1,6583 -1,2890 -0,6766 0,6766 1,2890 1,6583 1,9810 2,3595 2,6196
-2,6189 -2,3589 -1,9806 -1,6581 -1,2889 -0,6766 0,6766 1,2889 1,6581 1,9806 2,3589 2,6189
-2,6181 -2,3584 -1,9803 -1,6579 -1,2888 -0,6766 0,6766 1,2888 1,6579 1,9803 2,3584 2,6181
-2,6174 -2,3578 -1,9799 -1,6577 -1,2886 -0,6765 0,6765 1,2886 1,6577 1,9799 2,3578 2,6174
-2,6167 -2,3573 -1,9796 -1,6574 -1,2885 -0,6765 0,6765 1,2885 1,6574 1,9796 2,3573 2,6167
-2,6161 -2,3568 -1,9793 -1,6572 -1,2884 -0,6765 0,6765 1,2884 1,6572 1,9793 2,3568 2,6161
-2,6154 -2,3563 -1,9790 -1,6570 -1,2883 -0,6764 0,6764 1,2883 1,6570 1,9790 2,3563 2,6154
-2,6148 -2,3558 -1,9787 -1,6568 -1,2882 -0,6764 0,6764 1,2882 1,6568 1,9787 2,3558 2,6148
-2,6142 -2,3554 -1,9784 -1,6567 -1,2881 -0,6764 0,6764 1,2881 1,6567 1,9784 2,3554 2,6142
-2,6136 -2,3549 -1,9781 -1,6565 -1,2880 -0,6764 0,6764 1,2880 1,6565 1,9781 2,3549 2,6136
-2,6130 -2,3545 -1,9778 -1,6563 -1,2879 -0,6763 0,6763 1,2879 1,6563 1,9778 2,3545 2,6130
-2,6125 -2,3541 -1,9776 -1,6561 -1,2878 -0,6763 0,6763 1,2878 1,6561 1,9776 2,3541 2,6125
-2,6119 -2,3537 -1,9773 -1,6560 -1,2877 -0,6763 0,6763 1,2877 1,6560 1,9773 2,3537 2,6119
-2,6114 -2,3533 -1,9771 -1,6558 -1,2876 -0,6762 0,6762 1,2876 1,6558 1,9771 2,3533 2,6114
-2,6109 -2,3529 -1,9768 -1,6557 -1,2875 -0,6762 0,6762 1,2875 1,6557 1,9768 2,3529 2,6109
-2,6104 -2,3525 -1,9766 -1,6555 -1,2875 -0,6762 0,6762 1,2875 1,6555 1,9766 2,3525 2,6104
-2,6099 -2,3522 -1,9763 -1,6554 -1,2874 -0,6762 0,6762 1,2874 1,6554 1,9763 2,3522 2,6099
-2,6095 -2,3518 -1,9761 -1,6552 -1,2873 -0,6762 0,6762 1,2873 1,6552 1,9761 2,3518 2,6095
-2,6090 -2,3515 -1,9759 -1,6551 -1,2872 -0,6761 0,6761 1,2872 1,6551 1,9759 2,3515 2,6090
-2,6006 -2,3451 -1,9719 -1,6525 -1,2858 -0,6757 0,6757 1,2858 1,6525 1,9719 2,3451 2,6006
-2,5923 -2,3388 -1,9679 -1,6499 -1,2844 -0,6753 0,6753 1,2844 1,6499 1,9679 2,3388 2,5923
-2,5882 -2,3357 -1,9659 -1,6487 -1,2837 -0,6751 0,6751 1,2837 1,6487 1,9659 2,3357 2,5882
-2,5857 -2,3338 -1,9647 -1,6479 -1,2832 -0,6750 0,6750 1,2832 1,6479 1,9647 2,3338 2,5857
-2,5820 -2,3310 -1,9629 -1,6468 -1,2826 -0,6748 0,6748 1,2826 1,6468 1,9629 2,3310 2,5820
-2,5813 -2,3305 -1,9626 -1,6465 -1,2825 -0,6748 0,6748 1,2825 1,6465 1,9626 2,3305 2,5813
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN T DE STUDENT (CONTINUACIÓN).
Página Nº 6
800
900
148
150
200
300
400
500
136
138
140
142
144
146
124
126
128
130
132
134
122
100
102
104
106
108
110
112
114
116
118
120
99
88
89
90
91
92
93
94
95
96
97
98
87
76
77
78
79
80
81
82
83
84
85
86
v p
61
62
63
75
64
65
66
67
68
69
70
71
72
73
74
( )T ν
v 1
P
0,500 1,0000 1,5000 1,7092 1,8227 1,8937 1,9422 1,9774 2,0041 2,0250 2,0419 2,0558 2,0674
0,750 5,8284 7,5000 8,1999 8,5809 8,8198 8,9833 9,1021 9,1923 9,2631 9,3201 9,3671 9,4064
0,900 39,863 49,500 53,593 55,833 57,240 58,204 58,906 59,439 59,858 60,195 60,473 60,705
0,950 161,45 199,50 215,71 224,58 230,16 233,99 236,77 238,88 240,54 241,88 242,98 243,91
0,975 647,79 799,50 864,16 899,58 921,85 937,11 948,22 956,66 963,28 968,63 973,03 976,71
0,990 4052,2 4999,5 5403,4 5624,6 5763,6 5859,0 5928,4 5981,1 6022,5 6055,8 6083,3 6106,3
0,995 16211 19999 21615 22500 23056 23437 23715 23925 24091 24224 24334 24426
0,500 0,6667 1,0000 1,1349 1,2071 1,2519 1,2824 1,3046 1,3213 1,3344 1,3450 1,3537 1,3610
0,750 2,5714 3,0000 3,1534 3,2321 3,2799 3,3121 3,3352 3,3526 3,3661 3,3770 3,3859 3,3934
0,900 8,5263 9,0000 9,1618 9,2434 9,2926 9,3255 9,3491 9,3668 9,3805 9,3916 9,4006 9,4081
0,950 18,513 19,000 19,164 19,247 19,296 19,330 19,353 19,371 19,385 19,396 19,405 19,413
0,975 38,506 39,000 39,165 39,248 39,298 39,331 39,355 39,373 39,387 39,398 39,407 39,415
0,990 98,503 99,000 99,166 99,249 99,299 99,333 99,356 99,374 99,388 99,399 99,408 99,416
0,995 198,50 199,00 199,17 199,25 199,30 199,33 199,36 199,37 199,39 199,40 199,41 199,42
0,500 0,5851 0,8811 1,0000 1,0632 1,1024 1,1289 1,1482 1,1627 1,1741 1,1833 1,1909 1,1972
0,750 2,0239 2,2798 2,3556 2,3901 2,4095 2,4218 2,4302 2,4364 2,4410 2,4447 2,4476 2,4500
0,900 5,5383 5,4624 5,3908 5,3426 5,3092 5,2847 5,2662 5,2517 5,2400 5,2304 5,2224 5,2156
0,950 10,128 9,5521 9,2766 9,1172 9,0135 8,9406 8,8867 8,8452 8,8123 8,7855 8,7633 8,7446
0,975 17,443 16,044 15,439 15,101 14,885 14,735 14,624 14,540 14,473 14,419 14,374 14,337
0,990 34,116 30,817 29,457 28,710 28,237 27,911 27,672 27,489 27,345 27,229 27,133 27,052
0,995 55,552 49,799 47,467 46,195 45,392 44,838 44,434 44,126 43,882 43,686 43,524 43,387
0,500 0,5486 0,8284 0,9405 1,0000 1,0367 1,0617 1,0797 1,0933 1,1040 1,1126 1,1196 1,1255
0,750 1,8074 2,0000 2,0467 2,0642 2,0723 2,0766 2,0790 2,0805 2,0814 2,0820 2,0823 2,0826
0,900 4,5448 4,3246 4,1909 4,1072 4,0506 4,0097 3,9790 3,9549 3,9357 3,9199 3,9067 3,8955
0,950 7,7086 6,9443 6,5914 6,3882 6,2561 6,1631 6,0942 6,0410 5,9988 5,9644 5,9358 5,9117
0,975 12,218 10,649 9,9792 9,6045 9,3645 9,1973 9,0741 8,9796 8,9047 8,8439 8,7935 8,7512
0,990 21,198 18,000 16,694 15,977 15,522 15,207 14,976 14,799 14,659 14,546 14,452 14,374
0,995 31,333 26,284 24,259 23,155 22,456 21,975 21,622 21,352 21,139 20,967 20,824 20,705
0,500 0,5281 0,7988 0,9071 0,9646 1,0000 1,0240 1,0414 1,0545 1,0648 1,0730 1,0798 1,0855
0,750 1,6925 1,8528 1,8843 1,8927 1,8947 1,8945 1,8935 1,8923 1,8911 1,8899 1,8887 1,8877
0,900 4,0604 3,7797 3,6195 3,5202 3,4530 3,4045 3,3679 3,3393 3,3163 3,2974 3,2816 3,2682
0,950 6,6079 5,7861 5,4095 5,1922 5,0503 4,9503 4,8759 4,8183 4,7725 4,7351 4,7040 4,6777
0,975 10,007 8,4336 7,7636 7,3879 7,1464 6,9777 6,8531 6,7572 6,6811 6,6192 6,5678 6,5245
0,990 16,258 13,274 12,060 11,392 10,967 10,672 10,456 10,289 10,158 10,051 9,9626 9,8883
0,995 22,785 18,314 16,530 15,556 14,940 14,513 14,200 13,961 13,772 13,618 13,491 13,384
0,500 0,5149 0,7798 0,8858 0,9419 0,9765 1,0000 1,0169 1,0298 1,0398 1,0478 1,0544 1,0600
0,750 1,6214 1,7622 1,7844 1,7872 1,7852 1,7821 1,7789 1,7760 1,7733 1,7708 1,7687 1,7668
0,900 3,7759 3,4633 3,2888 3,1808 3,1075 3,0546 3,0145 2,9830 2,9577 2,9369 2,9195 2,9047
0,950 5,9874 5,1433 4,7571 4,5337 4,3874 4,2839 4,2067 4,1468 4,0990 4,0600 4,0274 3,9999
0,975 8,8131 7,2599 6,5988 6,2272 5,9876 5,8198 5,6955 5,5996 5,5234 5,4613 5,4098 5,3662
0,990 13,745 10,925 9,7795 9,1483 8,7459 8,4661 8,2600 8,1017 7,9761 7,8741 7,7896 7,7183
0,995 18,635 14,544 12,917 12,028 11,464 11,073 10,786 10,566 10,391 10,250 10,133 10,034
0,500 0,5057 0,7665 0,8709 0,9262 0,9603 0,9833 1,0000 1,0126 1,0224 1,0304 1,0369 1,0423
0,750 1,5732 1,7010 1,7169 1,7157 1,7111 1,7059 1,7011 1,6969 1,6931 1,6898 1,6869 1,6843
0,900 3,5894 3,2574 3,0741 2,9605 2,8833 2,8274 2,7849 2,7516 2,7247 2,7025 2,6839 2,6681
0,950 5,5914 4,7374 4,3468 4,1203 3,9715 3,8660 3,7870 3,7257 3,6767 3,6365 3,6030 3,5747
0,975 8,0727 6,5415 5,8898 5,5226 5,2852 5,1186 4,9949 4,8993 4,8232 4,7611 4,7095 4,6658
0,990 12,246 9,5466 8,4513 7,8466 7,4604 7,1914 6,9928 6,8400 6,7188 6,6201 6,5382 6,4691
0,995 16,236 12,404 10,882 10,050 9,5221 9,1553 8,8854 8,6781 8,5138 8,3803 8,2697 8,1764
0,500 0,4990 0,7568 0,8600 0,9146 0,9483 0,9711 0,9876 1,0000 1,0097 1,0175 1,0240 1,0293
0,750 1,5384 1,6569 1,6683 1,6642 1,6575 1,6508 1,6448 1,6396 1,6350 1,6310 1,6275 1,6244
0,900 3,4579 3,1131 2,9238 2,8064 2,7264 2,6683 2,6241 2,5893 2,5612 2,5380 2,5186 2,5020
0,950 5,3177 4,4590 4,0662 3,8379 3,6875 3,5806 3,5005 3,4381 3,3881 3,3472 3,3130 3,2839
0,975 7,5709 6,0595 5,4160 5,0526 4,8173 4,6517 4,5286 4,4333 4,3572 4,2951 4,2434 4,1997
0,990 11,259 8,6491 7,5910 7,0061 6,6318 6,3707 6,1776 6,0289 5,9106 5,8143 5,7343 5,6667
0,995 14,688 11,042 9,5965 8,8051 8,3018 7,9520 7,6941 7,4959 7,3386 7,2106 7,1045 7,0149
0,500 0,4938 0,7494 0,8517 0,9058 0,9392 0,9617 0,9781 0,9904 1,0000 1,0077 1,0141 1,0194
0,750 1,5121 1,6236 1,6315 1,6253 1,6170 1,6091 1,6022 1,5961 1,5909 1,5863 1,5823 1,5788
0,900 3,3603 3,0065 2,8129 2,6927 2,6106 2,5509 2,5053 2,4694 2,4403 2,4163 2,3961 2,3789
0,950 5,1174 4,2565 3,8625 3,6331 3,4817 3,3738 3,2927 3,2296 3,1789 3,1373 3,1025 3,0729
0,975 7,2093 5,7147 5,0781 4,7181 4,4844 4,3197 4,1970 4,1020 4,0260 3,9639 3,9121 3,8682
0,990 10,561 8,0215 6,9919 6,4221 6,0569 5,8018 5,6129 5,4671 5,3511 5,2565 5,1779 5,1114
0,995 13,614 10,107 8,7171 7,9559 7,4712 7,1339 6,8849 6,6933 6,5411 6,4172 6,3142 6,2274
0,500 0,4897 0,7435 0,8451 0,8988 0,9319 0,9544 0,9705 0,9828 0,9923 1,0000 1,0063 1,0116
0,750 1,4915 1,5975 1,6028 1,5949 1,5853 1,5765 1,5688 1,5621 1,5563 1,5513 1,5469 1,5430
0,900 3,2850 2,9245 2,7277 2,6053 2,5216 2,4606 2,4140 2,3772 2,3473 2,3226 2,3018 2,2841
0,950 4,9646 4,1028 3,7083 3,4780 3,3258 3,2172 3,1355 3,0717 3,0204 2,9782 2,9430 2,9130
0,975 6,9367 5,4564 4,8256 4,4683 4,2361 4,0721 3,9498 3,8549 3,7790 3,7168 3,6649 3,6209
0,990 10,044 7,5594 6,5523 5,9943 5,6363 5,3858 5,2001 5,0567 4,9424 4,8491 4,7715 4,7059
0,995 12,826 9,4270 8,0807 7,3428 6,8724 6,5446 6,3025 6,1159 5,9676 5,8467 5,7462 5,6613
11 12
VALORES PERCENTILES, , DE LA
DISTRIBUCIÓN F CON "v 1" GRADOS DE
LIBERTAD EN EL NUMERADOR Y "v 2" GRADOS DE LIBERTAD EN EL DENOMINADOR.
Página Nº 7
8 9 105 6 72 3 4v 2
1
1
2
3
4
5
6
7
8
9
10
[ ]1 2: ;F p ν ν
[ ]1
1 22 1
1 2
1 21( : ; ) 2
2 21 2 1 2 1 2
1 2 0 22 1
2( ; ) ( : ; )
( )2 2
F pu
P F F p du p
u
νν νν ν
ν ν
ν ν
ν ν ν ν ν νν ν
ν ν
−
+
+ Γ ≤ = ⋅ = Γ Γ +
∫
v 1
P
0,500 0,4864 0,7387 0,8397 0,8932 0,9261 0,9484 0,9645 0,9766 0,9861 0,9937 1,0000 1,0052
0,750 1,4749 1,5767 1,5798 1,5704 1,5598 1,5502 1,5418 1,5346 1,5284 1,5229 1,5182 1,5140
0,900 3,2252 2,8595 2,6602 2,5362 2,4512 2,3891 2,3416 2,3040 2,2735 2,2482 2,2269 2,2087
0,950 4,8443 3,9823 3,5874 3,3567 3,2039 3,0946 3,0123 2,9480 2,8962 2,8536 2,8179 2,7876
0,975 6,7241 5,2559 4,6300 4,2751 4,0440 3,8807 3,7586 3,6638 3,5879 3,5257 3,4737 3,4296
0,990 9,6460 7,2057 6,2167 5,6683 5,3160 5,0692 4,8861 4,7445 4,6315 4,5393 4,4624 4,3974
0,995 12,226 8,9122 7,6004 6,8809 6,4217 6,1016 5,8648 5,6821 5,5368 5,4183 5,3197 5,2363
0,500 0,4837 0,7348 0,8353 0,8885 0,9212 0,9434 0,9594 0,9715 0,9810 0,9886 0,9948 1,0000
0,750 1,4613 1,5595 1,5609 1,5504 1,5389 1,5286 1,5197 1,5120 1,5054 1,4996 1,4946 1,4902
0,900 3,1765 2,8068 2,6055 2,4801 2,3940 2,3310 2,2828 2,2446 2,2135 2,1878 2,1660 2,1474
0,950 4,7472 3,8853 3,4903 3,2592 3,1059 2,9961 2,9134 2,8486 2,7964 2,7534 2,7173 2,6866
0,975 6,5538 5,0959 4,4742 4,1212 3,8911 3,7283 3,6065 3,5118 3,4358 3,3736 3,3215 3,2773
0,990 9,3302 6,9266 5,9525 5,4120 5,0643 4,8206 4,6395 4,4994 4,3875 4,2961 4,2198 4,1553
0,995 11,754 8,5096 7,2258 6,5211 6,0711 5,7570 5,5245 5,3451 5,2021 5,0855 4,9884 4,9062
0,500 0,4814 0,7315 0,8316 0,8845 0,9172 0,9393 0,9552 0,9672 0,9767 0,9842 0,9904 0,9956
0,750 1,4500 1,5452 1,5451 1,5336 1,5214 1,5105 1,5011 1,4931 1,4861 1,4801 1,4748 1,4701
0,900 3,1362 2,7632 2,5603 2,4337 2,3467 2,2830 2,2341 2,1953 2,1638 2,1376 2,1155 2,0966
0,950 4,6672 3,8056 3,4105 3,1791 3,0254 2,9153 2,8321 2,7669 2,7144 2,6710 2,6347 2,6037
0,975 6,4143 4,9653 4,3472 3,9959 3,7667 3,6043 3,4827 3,3880 3,3120 3,2497 3,1975 3,1532
0,990 9,0738 6,7010 5,7394 5,2053 4,8616 4,6204 4,4410 4,3021 4,1911 4,1003 4,0245 3,9603
0,995 11,374 8,1865 6,9258 6,2335 5,7910 5,4819 5,2529 5,0761 4,9351 4,8199 4,7240 4,6429
0,500 0,4794 0,7286 0,8284 0,8812 0,9137 0,9357 0,9516 0,9636 0,9730 0,9805 0,9867 0,9919
0,750 1,4403 1,5331 1,5317 1,5194 1,5066 1,4952 1,4854 1,4770 1,4697 1,4634 1,4579 1,4530
0,900 3,1022 2,7265 2,5222 2,3947 2,3069 2,2426 2,1931 2,1539 2,1220 2,0954 2,0729 2,0537
0,950 4,6001 3,7389 3,3439 3,1122 2,9582 2,8477 2,7642 2,6987 2,6458 2,6022 2,5655 2,5342
0,975 6,2979 4,8567 4,2417 3,8919 3,6634 3,5014 3,3799 3,2853 3,2093 3,1469 3,0946 3,0502
0,990 8,8616 6,5149 5,5639 5,0354 4,6950 4,4558 4,2779 4,1399 4,0297 3,9394 3,8640 3,8001
0,995 11,060 7,9216 6,6804 5,9984 5,5623 5,2574 5,0313 4,8566 4,7173 4,6034 4,5085 4,4281
0,500 0,4778 0,7262 0,8257 0,8783 0,9107 0,9327 0,9485 0,9605 0,9698 0,9773 0,9835 0,9886
0,750 1,4321 1,5227 1,5202 1,5071 1,4938 1,4820 1,4718 1,4631 1,4556 1,4491 1,4434 1,4383
0,900 3,0732 2,6952 2,4898 2,3614 2,2730 2,2081 2,1582 2,1185 2,0862 2,0593 2,0366 2,0171
0,950 4,5431 3,6823 3,2874 3,0556 2,9013 2,7905 2,7066 2,6408 2,5876 2,5437 2,5068 2,4753
0,975 6,1995 4,7650 4,1528 3,8043 3,5764 3,4147 3,2934 3,1987 3,1227 3,0602 3,0078 2,9633
0,990 8,6831 6,3589 5,4170 4,8932 4,5556 4,3183 4,1415 4,0045 3,8948 3,8049 3,7299 3,6662
0,995 10,798 7,7008 6,4760 5,8029 5,3721 5,0708 4,8473 4,6744 4,5364 4,4235 4,3295 4,2497
0,500 0,4763 0,7241 0,8233 0,8758 0,9081 0,9300 0,9458 0,9577 0,9670 0,9745 0,9807 0,9858
0,750 1,4249 1,5137 1,5103 1,4965 1,4827 1,4705 1,4601 1,4511 1,4433 1,4366 1,4307 1,4255
0,900 3,0481 2,6682 2,4618 2,3327 2,2438 2,1783 2,1280 2,0880 2,0553 2,0281 2,0051 1,9854
0,950 4,4940 3,6337 3,2389 3,0069 2,8524 2,7413 2,6572 2,5911 2,5377 2,4935 2,4564 2,4247
0,975 6,1151 4,6867 4,0768 3,7294 3,5021 3,3406 3,2194 3,1248 3,0488 2,9862 2,9337 2,8890
0,990 8,5310 6,2262 5,2922 4,7726 4,4374 4,2016 4,0259 3,8896 3,7804 3,6909 3,6162 3,5527
0,995 10,575 7,5138 6,3034 5,6378 5,2117 4,9134 4,6920 4,5207 4,3838 4,2719 4,1785 4,0994
0,500 0,4750 0,7222 0,8212 0,8736 0,9058 0,9277 0,9434 0,9553 0,9646 0,9721 0,9782 0,9833
0,750 1,4186 1,5057 1,5015 1,4872 1,4730 1,4605 1,4497 1,4405 1,4325 1,4256 1,4196 1,4142
0,900 3,0262 2,6446 2,4374 2,3077 2,2183 2,1524 2,1017 2,0613 2,0284 2,0009 1,9777 1,9577
0,950 4,4513 3,5915 3,1968 2,9647 2,8100 2,6987 2,6143 2,5480 2,4943 2,4499 2,4126 2,3807
0,975 6,0420 4,6189 4,0112 3,6648 3,4379 3,2767 3,1556 3,0610 2,9849 2,9222 2,8696 2,8249
0,990 8,3997 6,1121 5,1850 4,6690 4,3359 4,1015 3,9267 3,7910 3,6822 3,5931 3,5185 3,4552
0,995 10,384 7,3536 6,1556 5,4967 5,0746 4,7789 4,5594 4,3894 4,2535 4,1424 4,0496 3,9709
0,500 0,4738 0,7205 0,8194 0,8716 0,9038 0,9256 0,9413 0,9532 0,9625 0,9699 0,9760 0,9812
0,750 1,4130 1,4988 1,4938 1,4790 1,4644 1,4516 1,4406 1,4311 1,4230 1,4159 1,4097 1,4042
0,900 3,0070 2,6239 2,4160 2,2858 2,1958 2,1296 2,0785 2,0379 2,0047 1,9770 1,9535 1,9333
0,950 4,4139 3,5546 3,1599 2,9277 2,7729 2,6613 2,5767 2,5102 2,4563 2,4117 2,3742 2,3421
0,975 5,9781 4,5597 3,9539 3,6083 3,3820 3,2209 3,0999 3,0053 2,9291 2,8664 2,8137 2,7689
0,990 8,2854 6,0129 5,0919 4,5790 4,2479 4,0146 3,8406 3,7054 3,5971 3,5082 3,4338 3,3706
0,995 10,218 7,2148 6,0278 5,3746 4,9560 4,6627 4,4448 4,2759 4,1410 4,0305 3,9382 3,8599
0,500 0,4728 0,7191 0,8177 0,8699 0,9020 0,9238 0,9394 0,9513 0,9606 0,9680 0,9741 0,9792
0,750 1,4081 1,4925 1,4870 1,4717 1,4568 1,4437 1,4325 1,4228 1,4145 1,4073 1,4009 1,3953
0,900 2,9899 2,6056 2,3970 2,2663 2,1760 2,1094 2,0580 2,0171 1,9836 1,9557 1,9321 1,9117
0,950 4,3807 3,5219 3,1274 2,8951 2,7401 2,6283 2,5435 2,4768 2,4227 2,3779 2,3402 2,3080
0,975 5,9216 4,5075 3,9034 3,5587 3,3327 3,1718 3,0509 2,9563 2,8801 2,8172 2,7645 2,7196
0,990 8,1849 5,9259 5,0103 4,5003 4,1708 3,9386 3,7653 3,6305 3,5225 3,4338 3,3596 3,2965
0,995 10,073 7,0935 5,9161 5,2681 4,8526 4,5614 4,3448 4,1770 4,0428 3,9329 3,8410 3,7631
0,500 0,4719 0,7177 0,8162 0,8683 0,9004 0,9221 0,9378 0,9496 0,9588 0,9663 0,9724 0,9775
0,750 1,4037 1,4870 1,4808 1,4652 1,4500 1,4366 1,4252 1,4153 1,4069 1,3995 1,3930 1,3873
0,900 2,9747 2,5893 2,3801 2,2489 2,1582 2,0913 2,0397 1,9985 1,9649 1,9367 1,9129 1,8924
0,950 4,3512 3,4928 3,0984 2,8661 2,7109 2,5990 2,5140 2,4471 2,3928 2,3479 2,3100 2,2776
0,975 5,8715 4,4613 3,8587 3,5147 3,2891 3,1283 3,0074 2,9128 2,8365 2,7737 2,7209 2,6758
0,990 8,0960 5,8489 4,9382 4,4307 4,1027 3,8714 3,6987 3,5644 3,4567 3,3682 3,2941 3,2311
0,995 9,9439 6,9865 5,8177 5,1743 4,7616 4,4721 4,2569 4,0900 3,9564 3,8470 3,7555 3,6779
0,500 0,4711 0,7165 0,8149 0,8669 0,8989 0,9206 0,9362 0,9481 0,9573 0,9647 0,9708 0,9759
0,750 1,3997 1,4820 1,4753 1,4593 1,4438 1,4302 1,4186 1,4086 1,4000 1,3925 1,3859 1,3801
0,900 2,9610 2,5746 2,3649 2,2333 2,1423 2,0751 2,0233 1,9819 1,9480 1,9197 1,8956 1,8750
0,950 4,3248 3,4668 3,0725 2,8401 2,6848 2,5727 2,4876 2,4205 2,3660 2,3210 2,2829 2,2504
0,975 5,8266 4,4199 3,8188 3,4754 3,2501 3,0895 2,9686 2,8740 2,7977 2,7348 2,6819 2,6368
0,990 8,0166 5,7804 4,8740 4,3688 4,0421 3,8117 3,6396 3,5056 3,3981 3,3098 3,2359 3,1730
0,995 9,8295 6,8914 5,7304 5,0911 4,6809 4,3931 4,1789 4,0128 3,8799 3,7709 3,6798 3,6024
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VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)Página Nº 8
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[ ]1 2: ;F p ν ν
v 1
P
0,500 0,4703 0,7155 0,8137 0,8656 0,8976 0,9192 0,9349 0,9467 0,9559 0,9633 0,9694 0,9744
0,750 1,3961 1,4774 1,4703 1,4540 1,4382 1,4244 1,4126 1,4025 1,3937 1,3861 1,3794 1,3735
0,900 2,9486 2,5613 2,3512 2,2193 2,1279 2,0605 2,0084 1,9668 1,9327 1,9043 1,8801 1,8593
0,950 4,3009 3,4434 3,0491 2,8167 2,6613 2,5491 2,4638 2,3965 2,3419 2,2967 2,2585 2,2258
0,975 5,7863 4,3828 3,7829 3,4401 3,2151 3,0546 2,9338 2,8392 2,7628 2,6998 2,6469 2,6017
0,990 7,9454 5,7190 4,8166 4,3134 3,9880 3,7583 3,5867 3,4530 3,3458 3,2576 3,1837 3,1209
0,995 9,7271 6,8064 5,6524 5,0168 4,6088 4,3225 4,1094 3,9440 3,8116 3,7030 3,6122 3,5350
0,500 0,4696 0,7145 0,8125 0,8644 0,8964 0,9180 0,9336 0,9454 0,9546 0,9620 0,9681 0,9731
0,750 1,3928 1,4733 1,4657 1,4491 1,4331 1,4191 1,4072 1,3969 1,3880 1,3803 1,3735 1,3675
0,900 2,9374 2,5493 2,3387 2,2065 2,1149 2,0472 1,9949 1,9531 1,9189 1,8903 1,8659 1,8450
0,950 4,2793 3,4221 3,0280 2,7955 2,6400 2,5277 2,4422 2,3748 2,3201 2,2747 2,2364 2,2036
0,975 5,7498 4,3492 3,7505 3,4083 3,1835 3,0232 2,9023 2,8077 2,7313 2,6682 2,6152 2,5699
0,990 7,8811 5,6637 4,7649 4,2636 3,9392 3,7102 3,5390 3,4057 3,2986 3,2106 3,1368 3,0740
0,995 9,6348 6,7300 5,5823 4,9500 4,5441 4,2591 4,0469 3,8822 3,7502 3,6420 3,5515 3,4745
0,500 0,4690 0,7136 0,8115 0,8633 0,8953 0,9169 0,9325 0,9442 0,9534 0,9608 0,9669 0,9719
0,750 1,3898 1,4695 1,4615 1,4447 1,4285 1,4143 1,4022 1,3918 1,3828 1,3750 1,3681 1,3621
0,900 2,9271 2,5383 2,3274 2,1949 2,1030 2,0351 1,9826 1,9407 1,9063 1,8775 1,8530 1,8319
0,950 4,2597 3,4028 3,0088 2,7763 2,6207 2,5082 2,4226 2,3551 2,3002 2,2547 2,2163 2,1834
0,975 5,7166 4,3187 3,7211 3,3794 3,1548 2,9946 2,8738 2,7791 2,7027 2,6396 2,5865 2,5411
0,990 7,8229 5,6136 4,7181 4,2184 3,8951 3,6667 3,4959 3,3629 3,2560 3,1681 3,0944 3,0316
0,995 9,5513 6,6609 5,5190 4,8898 4,4857 4,2019 3,9905 3,8264 3,6949 3,5870 3,4967 3,4199
0,500 0,4684 0,7127 0,8106 0,8624 0,8942 0,9158 0,9314 0,9432 0,9523 0,9597 0,9658 0,9708
0,750 1,3870 1,4661 1,4577 1,4406 1,4242 1,4099 1,3977 1,3871 1,3781 1,3701 1,3632 1,3570
0,900 2,9177 2,5283 2,3170 2,1842 2,0922 2,0241 1,9714 1,9292 1,8947 1,8658 1,8412 1,8200
0,950 4,2417 3,3852 2,9912 2,7587 2,6030 2,4904 2,4047 2,3371 2,2821 2,2365 2,1979 2,1649
0,975 5,6864 4,2909 3,6943 3,3530 3,1287 2,9685 2,8478 2,7531 2,6766 2,6135 2,5603 2,5149
0,990 7,7698 5,5680 4,6755 4,1774 3,8550 3,6272 3,4568 3,3239 3,2172 3,1294 3,0558 2,9931
0,995 9,4753 6,5982 5,4615 4,8351 4,4327 4,1500 3,9394 3,7758 3,6447 3,5370 3,4470 3,3704
0,500 0,4662 0,7094 0,8069 0,8584 0,8902 0,9117 0,9272 0,9389 0,9480 0,9554 0,9614 0,9665
0,750 1,3761 1,4524 1,4426 1,4244 1,4073 1,3923 1,3795 1,3685 1,3590 1,3507 1,3434 1,3369
0,900 2,8807 2,4887 2,2761 2,1422 2,0492 1,9803 1,9269 1,8841 1,8490 1,8195 1,7944 1,7727
0,950 4,1709 3,3158 2,9223 2,6896 2,5336 2,4205 2,3343 2,2662 2,2107 2,1646 2,1256 2,0921
0,975 5,5675 4,1821 3,5894 3,2499 3,0265 2,8667 2,7460 2,6513 2,5746 2,5112 2,4577 2,4120
0,990 7,5625 5,3903 4,5097 4,0179 3,6990 3,4735 3,3045 3,1726 3,0665 2,9791 2,9057 2,8431
0,995 9,1797 6,3547 5,2388 4,6234 4,2276 3,9492 3,7416 3,5801 3,4505 3,3440 3,2547 3,1787
0,500 0,4633 0,7053 0,8023 0,8536 0,8852 0,9065 0,9220 0,9336 0,9427 0,9500 0,9560 0,9610
0,750 1,3626 1,4355 1,4239 1,4045 1,3863 1,3706 1,3571 1,3455 1,3354 1,3266 1,3188 1,3119
0,900 2,8354 2,4404 2,2261 2,0909 1,9968 1,9269 1,8725 1,8289 1,7929 1,7627 1,7369 1,7146
0,950 4,0847 3,2317 2,8387 2,6060 2,4495 2,3359 2,2490 2,1802 2,1240 2,0772 2,0376 2,0035
0,975 5,4239 4,0510 3,4633 3,1261 2,9037 2,7444 2,6238 2,5289 2,4519 2,3882 2,3343 2,2882
0,990 7,3141 5,1785 4,3126 3,8283 3,5138 3,2910 3,1238 2,9930 2,8876 2,8005 2,7274 2,6648
0,995 8,8279 6,0664 4,9758 4,3738 3,9860 3,7129 3,5088 3,3498 3,2220 3,1167 3,0284 2,9531
0,500 0,4605 0,7012 0,7977 0,8487 0,8802 0,9014 0,9168 0,9284 0,9374 0,9447 0,9507 0,9557
0,750 1,3493 1,4188 1,4055 1,3848 1,3657 1,3491 1,3348 1,3226 1,3119 1,3026 1,2943 1,2870
0,900 2,7911 2,3933 2,1774 2,0410 1,9457 1,8747 1,8194 1,7748 1,7380 1,7070 1,6805 1,6574
0,950 4,0012 3,1504 2,7581 2,5252 2,3683 2,2541 2,1665 2,0970 2,0401 1,9926 1,9522 1,9174
0,975 5,2856 3,9253 3,3425 3,0077 2,7863 2,6274 2,5068 2,4117 2,3344 2,2702 2,2159 2,1692
0,990 7,0771 4,9774 4,1259 3,6490 3,3389 3,1187 2,9530 2,8233 2,7185 2,6318 2,5587 2,4961
0,995 8,4946 5,7950 4,7290 4,1399 3,7599 3,4918 3,2911 3,1344 3,0083 2,9042 2,8166 2,7419
0,500 0,4591 0,6992 0,7954 0,8463 0,8777 0,8989 0,9142 0,9258 0,9348 0,9421 0,9480 0,9530
0,750 1,3427 1,4106 1,3964 1,3751 1,3554 1,3384 1,3238 1,3112 1,3002 1,2906 1,2821 1,2745
0,900 2,7693 2,3701 2,1535 2,0165 1,9206 1,8491 1,7933 1,7483 1,7110 1,6796 1,6526 1,6292
0,950 3,9604 3,1108 2,7188 2,4859 2,3287 2,2142 2,1263 2,0564 1,9991 1,9512 1,9105 1,8753
0,975 5,2184 3,8643 3,2841 2,9504 2,7295 2,5708 2,4502 2,3549 2,2775 2,2130 2,1584 2,1115
0,990 6,9627 4,8807 4,0363 3,5631 3,2550 3,0361 2,8713 2,7420 2,6374 2,5508 2,4777 2,4151
0,995 8,3346 5,6652 4,6113 4,0285 3,6524 3,3867 3,1876 3,0320 2,9066 2,8031 2,7159 2,6413
0,500 0,4586 0,6985 0,7947 0,8455 0,8769 0,8981 0,9134 0,9249 0,9339 0,9412 0,9471 0,9521
0,750 1,3406 1,4079 1,3933 1,3719 1,3520 1,3349 1,3201 1,3074 1,2964 1,2866 1,2780 1,2704
0,900 2,7621 2,3625 2,1457 2,0084 1,9123 1,8406 1,7846 1,7395 1,7021 1,6705 1,6434 1,6199
0,950 3,9469 3,0977 2,7058 2,4729 2,3157 2,2011 2,1131 2,0430 1,9856 1,9376 1,8967 1,8613
0,975 5,1962 3,8443 3,2649 2,9315 2,7109 2,5522 2,4316 2,3363 2,2588 2,1942 2,1395 2,0925
0,990 6,9251 4,8491 4,0070 3,5350 3,2276 3,0091 2,8445 2,7154 2,6109 2,5243 2,4513 2,3886
0,995 8,2822 5,6228 4,5728 3,9922 3,6173 3,3524 3,1538 2,9986 2,8735 2,7701 2,6830 2,6085
0,500 0,4577 0,6972 0,7932 0,8439 0,8752 0,8964 0,9116 0,9232 0,9322 0,9394 0,9454 0,9503
0,750 1,3362 1,4024 1,3873 1,3654 1,3453 1,3278 1,3128 1,2999 1,2886 1,2787 1,2699 1,2621
0,900 2,7478 2,3473 2,1300 1,9923 1,8959 1,8238 1,7675 1,7220 1,6842 1,6524 1,6250 1,6012
0,950 3,9201 3,0718 2,6802 2,4472 2,2899 2,1750 2,0868 2,0164 1,9588 1,9105 1,8693 1,8337
0,975 5,1523 3,8046 3,2269 2,8943 2,6740 2,5154 2,3948 2,2994 2,2217 2,1570 2,1021 2,0548
0,990 6,8509 4,7865 3,9491 3,4795 3,1735 2,9559 2,7918 2,6629 2,5586 2,4721 2,3990 2,3363
0,995 8,1788 5,5393 4,4972 3,9207 3,5482 3,2849 3,0874 2,9330 2,8083 2,7052 2,6183 2,5439
0,500 0,4549 0,6931 0,7886 0,8392 0,8703 0,8913 0,9065 0,9180 0,9270 0,9342 0,9401 0,9450
0,750 1,3232 1,3862 1,3694 1,3463 1,3251 1,3068 1,2910 1,2774 1,2654 1,2549 1,2455 1,2371
0,900 2,7053 2,3026 2,0838 1,9449 1,8473 1,7741 1,7167 1,6702 1,6315 1,5987 1,5705 1,5458
0,950 3,8415 2,9957 2,6049 2,3719 2,2141 2,0986 2,0096 1,9384 1,8799 1,8307 1,7887 1,7522
0,975 5,0239 3,6889 3,1161 2,7858 2,5665 2,4082 2,2875 2,1918 2,1136 2,0483 1,9927 1,9447
0,990 6,6349 4,6052 3,7816 3,3192 3,0173 2,8020 2,6393 2,5113 2,4073 2,3209 2,2477 2,1847
0,995 7,8795 5,2983 4,2794 3,7151 3,3499 3,0913 2,8968 2,7444 2,6210 2,5188 2,4324 2,3583
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Página Nº 9
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VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)
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8 9 105 6 74v 2
1 2 3
[ ]1 2: ;F p ν ν
v 1
P
0,500 2,0773 2,0858 2,0931 2,1104 2,1191 2,1321 2,1452 2,1584 2,1650 2,1716 2,1848 2,1981
0,750 9,4398 9,4685 9,4934 9,5519 9,5813 9,6254 9,6698 9,7144 9,7368 9,7592 9,8041 9,8492
0,900 60,903 61,073 61,220 61,566 61,740 62,002 62,265 62,529 62,662 62,794 63,061 63,328
0,950 244,69 245,36 245,95 247,32 248,01 249,05 250,10 251,14 251,67 252,20 253,25 254,31
0,975 979,84 982,53 984,87 990,35 993,10 997,25 1001,4 1005,6 1007,7 1009,8 1014,0 1018,3
0,990 6125,9 6142,7 6157,3 6191,5 6208,7 6234,6 6260,6 6286,8 6299,9 6313,0 6339,4 6365,9
0,995 24505 24572 24630 24767 24836 24940 25044 25148 25201 25253 25359 25464
0,500 1,3671 1,3724 1,3771 1,3879 1,3933 1,4014 1,4096 1,4178 1,4220 1,4261 1,4344 1,4427
0,750 3,3997 3,4051 3,4098 3,4208 3,4263 3,4346 3,4428 3,4511 3,4553 3,4594 3,4677 3,4761
0,900 9,4145 9,4200 9,4247 9,4358 9,4413 9,4496 9,4579 9,4662 9,4704 9,4746 9,4829 9,4912
0,950 19,419 19,424 19,429 19,440 19,446 19,454 19,462 19,471 19,475 19,479 19,487 19,496
0,975 39,421 39,427 39,431 39,442 39,448 39,456 39,465 39,473 39,477 39,481 39,490 39,498
0,990 99,422 99,428 99,433 99,444 99,449 99,458 99,466 99,474 99,478 99,482 99,491 99,499
0,995 199,42 199,43 199,43 199,44 199,45 199,46 199,47 199,47 199,48 199,48 199,49 199,50
0,500 1,2025 1,2071 1,2111 1,2205 1,2252 1,2322 1,2393 1,2465 1,2500 1,2536 1,2608 1,2680
0,750 2,4520 2,4537 2,4552 2,4585 2,4602 2,4626 2,4650 2,4674 2,4685 2,4697 2,4719 2,4742
0,900 5,2098 5,2047 5,2003 5,1898 5,1845 5,1764 5,1681 5,1597 5,1555 5,1512 5,1425 5,1337
0,950 8,7287 8,7149 8,7029 8,6745 8,6602 8,6385 8,6166 8,5944 8,5832 8,5720 8,5494 8,5265
0,975 14,304 14,277 14,253 14,196 14,167 14,124 14,081 14,037 14,014 13,992 13,947 13,902
0,990 26,983 26,924 26,872 26,751 26,690 26,598 26,505 26,411 26,364 26,316 26,221 26,125
0,995 43,271 43,172 43,085 42,880 42,778 42,622 42,466 42,308 42,229 42,149 41,989 41,828
0,500 1,1305 1,1348 1,1386 1,1473 1,1517 1,1583 1,1649 1,1716 1,1749 1,1782 1,1849 1,1916
0,750 2,0827 2,0828 2,0829 2,0829 2,0828 2,0827 2,0825 2,0821 2,0819 2,0817 2,0812 2,0806
0,900 3,8859 3,8776 3,8704 3,8531 3,8443 3,8310 3,8174 3,8036 3,7966 3,7896 3,7753 3,7607
0,950 5,8911 5,8733 5,8578 5,8211 5,8025 5,7744 5,7459 5,7170 5,7024 5,6877 5,6581 5,6281
0,975 8,7150 8,6838 8,6565 8,5924 8,5599 8,5109 8,4613 8,4111 8,3859 8,3604 8,3092 8,2573
0,990 14,307 14,249 14,198 14,080 14,020 13,929 13,838 13,745 13,699 13,652 13,558 13,463
0,995 20,603 20,515 20,438 20,258 20,167 20,030 19,892 19,752 19,681 19,611 19,468 19,325
0,500 1,0903 1,0944 1,0980 1,1064 1,1106 1,1170 1,1234 1,1297 1,1329 1,1361 1,1426 1,1490
0,750 1,8867 1,8859 1,8851 1,8831 1,8820 1,8802 1,8784 1,8763 1,8753 1,8742 1,8719 1,8694
0,900 3,2567 3,2468 3,2380 3,2172 3,2067 3,1905 3,1741 3,1573 3,1488 3,1402 3,1228 3,1050
0,950 4,6552 4,6358 4,6188 4,5785 4,5581 4,5272 4,4957 4,4638 4,4476 4,4314 4,3985 4,3650
0,975 6,4876 6,4556 6,4277 6,3619 6,3286 6,2780 6,2269 6,1750 6,1489 6,1225 6,0693 6,0153
0,990 9,8248 9,7700 9,7222 9,6096 9,5526 9,4665 9,3793 9,2912 9,2467 9,2020 9,1118 9,0204
0,995 13,293 13,215 13,146 12,985 12,903 12,780 12,656 12,530 12,466 12,402 12,274 12,144
0,500 1,0647 1,0687 1,0722 1,0804 1,0845 1,0907 1,0969 1,1031 1,1062 1,1093 1,1156 1,1219
0,750 1,7651 1,7635 1,7621 1,7587 1,7569 1,7540 1,7509 1,7477 1,7460 1,7443 1,7407 1,7368
0,900 2,8920 2,8809 2,8712 2,8481 2,8363 2,8183 2,8000 2,7812 2,7716 2,7620 2,7423 2,7222
0,950 3,9764 3,9559 3,9381 3,8957 3,8742 3,8415 3,8082 3,7743 3,7571 3,7398 3,7047 3,6689
0,975 5,3290 5,2968 5,2687 5,2021 5,1684 5,1172 5,0652 5,0125 4,9858 4,9589 4,9044 4,8491
0,990 7,6575 7,6049 7,5590 7,4507 7,3958 7,3127 7,2285 7,1432 7,1001 7,0567 6,9690 6,8800
0,995 9,950 9,8774 9,8140 9,6644 9,5888 9,4742 9,3582 9,2408 9,1816 9,1219 9,0015 8,8793
0,500 1,0469 1,0509 1,0543 1,0623 1,0664 1,0724 1,0785 1,0846 1,0877 1,0908 1,0969 1,1031
0,750 1,6820 1,6800 1,6781 1,6736 1,6712 1,6675 1,6635 1,6593 1,6571 1,6548 1,6501 1,6452
0,900 2,6545 2,6426 2,6322 2,6074 2,5947 2,5753 2,5555 2,5351 2,5247 2,5142 2,4928 2,4708
0,950 3,5503 3,5292 3,5107 3,4669 3,4445 3,4105 3,3758 3,3404 3,3225 3,3043 3,2674 3,2298
0,975 4,6285 4,5961 4,5678 4,5008 4,4667 4,4150 4,3624 4,3089 4,2818 4,2544 4,1989 4,1423
0,990 6,4100 6,3590 6,3143 6,2089 6,1554 6,0743 5,9920 5,9084 5,8662 5,8236 5,7373 5,6495
0,995 8,097 8,0279 7,9678 7,8258 7,7540 7,6450 7,5345 7,4224 7,3658 7,3088 7,1933 7,0760
0,500 1,0339 1,0378 1,0412 1,0491 1,0531 1,0591 1,0651 1,0711 1,0741 1,0772 1,0832 1,0893
0,750 1,6217 1,6192 1,6170 1,6116 1,6088 1,6043 1,5996 1,5945 1,5919 1,5893 1,5836 1,5777
0,900 2,4876 2,4752 2,4642 2,4380 2,4246 2,4041 2,3830 2,3614 2,3503 2,3391 2,3162 2,2926
0,950 3,2590 3,2374 3,2184 3,1733 3,1503 3,1152 3,0794 3,0428 3,0241 3,0053 2,9669 2,9276
0,975 4,1622 4,1297 4,1012 4,0338 3,9995 3,9472 3,8940 3,8398 3,8123 3,7844 3,7279 3,6702
0,990 5,6089 5,5589 5,5151 5,4116 5,3591 5,2793 5,1981 5,1156 5,0738 5,0316 4,9461 4,8588
0,995 6,938 6,8721 6,8143 6,6775 6,6082 6,5029 6,3961 6,2875 6,2326 6,1772 6,0649 5,9506
0,500 1,0239 1,0278 1,0311 1,0390 1,0429 1,0489 1,0548 1,0608 1,0638 1,0667 1,0727 1,0788
0,750 1,5757 1,5729 1,5705 1,5643 1,5611 1,5560 1,5506 1,5449 1,5420 1,5389 1,5325 1,5257
0,900 2,3640 2,3510 2,3396 2,3123 2,2983 2,2768 2,2547 2,2320 2,2203 2,2085 2,1843 2,1592
0,950 3,0475 3,0255 3,0061 2,9600 2,9365 2,9005 2,8637 2,8259 2,8067 2,7872 2,7475 2,7067
0,975 3,8306 3,7980 3,7694 3,7015 3,6669 3,6142 3,5604 3,5055 3,4775 3,4493 3,3918 3,3329
0,990 5,0545 5,0052 4,9621 4,8599 4,8080 4,7290 4,6486 4,5666 4,5251 4,4831 4,3978 4,3105
0,995 6,153 6,0887 6,0325 5,8994 5,8318 5,7292 5,6248 5,5186 5,4647 5,4104 5,3001 5,1875
0,500 1,0160 1,0199 1,0232 1,0310 1,0349 1,0408 1,0467 1,0526 1,0556 1,0585 1,0645 1,0705
0,750 1,5396 1,5365 1,5338 1,5270 1,5235 1,5179 1,5119 1,5056 1,5024 1,4990 1,4919 1,4843
0,900 2,2687 2,2553 2,2435 2,2153 2,2007 2,1784 2,1554 2,1317 2,1195 2,1072 2,0818 2,0554
0,950 2,8872 2,8647 2,8450 2,7980 2,7740 2,7372 2,6996 2,6609 2,6411 2,6211 2,5801 2,5379
0,975 3,5832 3,5504 3,5217 3,4534 3,4185 3,3654 3,3110 3,2554 3,2271 3,1984 3,1399 3,0798
0,990 4,6496 4,6008 4,5581 4,4569 4,4054 4,3269 4,2469 4,1653 4,1238 4,0819 3,9965 3,9090
0,995 5,5887 5,5257 5,4707 5,3403 5,2740 5,1732 5,0706 4,9659 4,9128 4,8592 4,7501 4,6385
NOTA: SI EL VALOR DEL GRADO DE LIBERTAD NO APARECE EN LA TABLA SE DEBE APROXIMAR AL VALOR MÁS CERCANO QUE ESTÉ DISPONIBLE
10
Página Nº 10
4
5
6
7
8
9
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)
120 OO
1
2
3
40 48 6020 24 3018v 2
13 14 15
1 22 1
:
1( : : )
(1 : : )
Teorema
F pF p
ν νν ν
=−
[ ]1 2: ;F p ν ν
v 1
P
0,500 1,0097 1,0135 1,0168 1,0245 1,0284 1,0343 1,0401 1,0460 1,0489 1,0519 1,0578 1,0637
0,750 1,5104 1,5071 1,5041 1,4968 1,4930 1,4869 1,4805 1,4737 1,4701 1,4664 1,4587 1,4504
0,900 2,1930 2,1792 2,1671 2,1380 2,1230 2,1000 2,0762 2,0516 2,0390 2,0261 1,9997 1,9721
0,950 2,7614 2,7386 2,7186 2,6709 2,6464 2,6090 2,5705 2,5309 2,5107 2,4901 2,4480 2,4045
0,975 3,3917 3,3588 3,3299 3,2612 3,2261 3,1725 3,1176 3,0613 3,0326 3,0035 2,9441 2,8828
0,990 4,3416 4,2932 4,2509 4,1503 4,0990 4,0209 3,9411 3,8596 3,8181 3,7761 3,6904 3,6024
0,995 5,165 5,1031 5,0489 4,9205 4,8552 4,7557 4,6543 4,5508 4,4982 4,4450 4,3367 4,2255
0,500 1,0044 1,0082 1,0115 1,0192 1,0231 1,0289 1,0347 1,0405 1,0435 1,0464 1,0523 1,0582
0,750 1,4862 1,4827 1,4796 1,4719 1,4678 1,4613 1,4544 1,4471 1,4433 1,4393 1,4310 1,4221
0,900 2,1313 2,1173 2,1049 2,0750 2,0597 2,0360 2,0115 1,9861 1,9730 1,9597 1,9323 1,9036
0,950 2,6602 2,6371 2,6169 2,5684 2,5436 2,5055 2,4663 2,4259 2,4052 2,3842 2,3410 2,2962
0,975 3,2393 3,2062 3,1772 3,1081 3,0728 3,0187 2,9633 2,9063 2,8773 2,8478 2,7874 2,7249
0,990 4,0999 4,0518 4,0096 3,9095 3,8584 3,7805 3,7008 3,6192 3,5776 3,5355 3,4494 3,3608
0,995 4,836 4,7748 4,7213 4,5945 4,5299 4,4314 4,3309 4,2282 4,1759 4,1229 4,0149 3,9039
0,500 1,0000 1,0038 1,0071 1,0147 1,0186 1,0243 1,0301 1,0360 1,0389 1,0418 1,0476 1,0535
0,750 1,4660 1,4623 1,4590 1,4508 1,4465 1,4397 1,4324 1,4247 1,4206 1,4164 1,4075 1,3980
0,900 2,0802 2,0658 2,0532 2,0227 2,0070 1,9827 1,9576 1,9315 1,9180 1,9043 1,8759 1,8462
0,950 2,5769 2,5536 2,5331 2,4841 2,4589 2,4202 2,3803 2,3392 2,3181 2,2966 2,2524 2,2064
0,975 3,1150 3,0819 3,0527 2,9832 2,9477 2,8932 2,8372 2,7797 2,7503 2,7204 2,6590 2,5955
0,990 3,9052 3,8573 3,8154 3,7156 3,6646 3,5868 3,5070 3,4253 3,3836 3,3413 3,2548 3,1654
0,995 4,573 4,5129 4,4600 4,3344 4,2703 4,1726 4,0727 3,9704 3,9183 3,8655 3,7577 3,6465
0,500 0,9962 1,0000 1,0033 1,0109 1,0147 1,0205 1,0263 1,0321 1,0350 1,0379 1,0437 1,0495
0,750 1,4487 1,4449 1,4414 1,4329 1,4284 1,4212 1,4136 1,4055 1,4012 1,3967 1,3874 1,3772
0,900 2,0370 2,0224 2,0095 1,9785 1,9625 1,9377 1,9119 1,8852 1,8714 1,8572 1,8280 1,7973
0,950 2,5073 2,4837 2,4630 2,4134 2,3879 2,3487 2,3082 2,2664 2,2449 2,2229 2,1778 2,1307
0,975 3,0119 2,9786 2,9493 2,8795 2,8437 2,7888 2,7324 2,6742 2,6444 2,6142 2,5519 2,4872
0,990 3,7452 3,6975 3,6557 3,5561 3,5052 3,4274 3,3476 3,2656 3,2238 3,1813 3,0942 3,0040
0,995 4,359 4,2993 4,2468 4,1221 4,0585 3,9614 3,8619 3,7600 3,7080 3,6552 3,5473 3,4359
0,500 0,9930 0,9967 1,0000 1,0076 1,0114 1,0172 1,0229 1,0287 1,0316 1,0345 1,0403 1,0461
0,750 1,4339 1,4299 1,4263 1,4174 1,4127 1,4052 1,3973 1,3888 1,3843 1,3796 1,3698 1,3591
0,900 2,0001 1,9853 1,9722 1,9407 1,9243 1,8990 1,8728 1,8454 1,8312 1,8168 1,7867 1,7551
0,950 2,4481 2,4244 2,4034 2,3533 2,3275 2,2878 2,2468 2,2043 2,1824 2,1601 2,1141 2,0658
0,975 2,9249 2,8915 2,8621 2,7919 2,7559 2,7006 2,6437 2,5850 2,5549 2,5242 2,4611 2,3953
0,990 3,6115 3,5639 3,5222 3,4228 3,3719 3,2940 3,2141 3,1319 3,0899 3,0471 2,9595 2,8684
0,995 4,181 4,1219 4,0698 3,9459 3,8826 3,7859 3,6867 3,5850 3,5330 3,4803 3,3722 3,2602
0,500 0,9902 0,9939 0,9972 1,0047 1,0086 1,0143 1,0200 1,0258 1,0286 1,0315 1,0373 1,0431
0,750 1,4209 1,4168 1,4131 1,4039 1,3990 1,3913 1,3830 1,3742 1,3695 1,3646 1,3543 1,3432
0,900 1,9682 1,9532 1,9399 1,9079 1,8913 1,8656 1,8388 1,8108 1,7964 1,7816 1,7507 1,7182
0,950 2,3973 2,3733 2,3522 2,3016 2,2756 2,2354 2,1938 2,1507 2,1285 2,1058 2,0589 2,0096
0,975 2,8506 2,8170 2,7875 2,7170 2,6808 2,6252 2,5678 2,5085 2,4781 2,4471 2,3831 2,3163
0,990 3,4981 3,4506 3,4089 3,3096 3,2587 3,1808 3,1007 3,0182 2,9760 2,9330 2,8447 2,7528
0,995 4,031 3,9723 3,9205 3,7972 3,7342 3,6378 3,5389 3,4372 3,3852 3,3324 3,2240 3,1115
0,500 0,9877 0,9914 0,9947 1,0022 1,0060 1,0117 1,0175 1,0232 1,0261 1,0289 1,0347 1,0405
0,750 1,4095 1,4052 1,4014 1,3920 1,3869 1,3790 1,3704 1,3613 1,3564 1,3514 1,3406 1,3290
0,900 1,9404 1,9252 1,9117 1,8792 1,8624 1,8362 1,8090 1,7805 1,7658 1,7506 1,7191 1,6856
0,950 2,3531 2,3290 2,3077 2,2567 2,2304 2,1898 2,1477 2,1040 2,0815 2,0584 2,0107 1,9604
0,975 2,7863 2,7526 2,7230 2,6522 2,6158 2,5598 2,5020 2,4422 2,4115 2,3801 2,3153 2,2474
0,990 3,4007 3,3533 3,3117 3,2124 3,1615 3,0835 3,0032 2,9205 2,8780 2,8348 2,7459 2,6530
0,995 3,903 3,8445 3,7929 3,6701 3,6073 3,5112 3,4124 3,3108 3,2587 3,2058 3,0971 2,9839
0,500 0,9855 0,9892 0,9924 1,0000 1,0038 1,0095 1,0152 1,0209 1,0238 1,0267 1,0324 1,0382
0,750 1,3994 1,3950 1,3911 1,3814 1,3762 1,3680 1,3592 1,3497 1,3447 1,3395 1,3284 1,3162
0,900 1,9158 1,9004 1,8868 1,8539 1,8368 1,8103 1,7827 1,7537 1,7387 1,7232 1,6910 1,6567
0,950 2,3143 2,2900 2,2686 2,2172 2,1906 2,1497 2,1071 2,0629 2,0400 2,0166 1,9681 1,9168
0,975 2,7302 2,6964 2,6667 2,5956 2,5590 2,5027 2,4445 2,3842 2,3531 2,3214 2,2558 2,1869
0,990 3,3162 3,2689 3,2273 3,1280 3,0771 2,9990 2,9185 2,8354 2,7928 2,7493 2,6597 2,5660
0,995 3,793 3,7341 3,6827 3,5603 3,4977 3,4017 3,3030 3,2014 3,1493 3,0962 2,9871 2,8732
0,500 0,9835 0,9872 0,9905 0,9980 1,0018 1,0075 1,0132 1,0189 1,0217 1,0246 1,0304 1,0361
0,750 1,3903 1,3859 1,3819 1,3719 1,3666 1,3582 1,3492 1,3394 1,3343 1,3289 1,3174 1,3048
0,900 1,8940 1,8785 1,8647 1,8314 1,8142 1,7873 1,7592 1,7298 1,7145 1,6988 1,6659 1,6308
0,950 2,2800 2,2556 2,2341 2,1823 2,1555 2,1141 2,0712 2,0264 2,0033 1,9795 1,9302 1,8780
0,975 2,6808 2,6469 2,6171 2,5457 2,5089 2,4523 2,3937 2,3329 2,3016 2,2696 2,2032 2,1333
0,990 3,2422 3,1949 3,1533 3,0541 3,0031 2,9249 2,8442 2,7608 2,7179 2,6742 2,5839 2,4893
0,995 3,696 3,6378 3,5866 3,4645 3,4020 3,3062 3,2075 3,1058 3,0536 3,0004 2,8908 2,7762
0,500 0,9818 0,9855 0,9887 0,9962 1,0000 1,0057 1,0114 1,0171 1,0199 1,0228 1,0285 1,0343
0,750 1,3822 1,3777 1,3736 1,3634 1,3580 1,3494 1,3401 1,3301 1,3248 1,3193 1,3074 1,2943
0,900 1,8745 1,8588 1,8449 1,8113 1,7938 1,7667 1,7382 1,7083 1,6928 1,6768 1,6433 1,6074
0,950 2,2495 2,2250 2,2033 2,1511 2,1242 2,0825 2,0391 1,9938 1,9704 1,9464 1,8963 1,8432
0,975 2,6369 2,6030 2,5731 2,5014 2,4645 2,4076 2,3486 2,2873 2,2557 2,2234 2,1562 2,0853
0,990 3,1769 3,1296 3,0880 2,9887 2,9377 2,8594 2,7785 2,6947 2,6517 2,6077 2,5168 2,4212
0,995 3,6111 3,5530 3,5020 3,3802 3,3178 3,2220 3,1234 3,0215 2,9692 2,9159 2,8058 2,6904
0,500 0,9802 0,9839 0,9871 0,9946 0,9984 1,0040 1,0097 1,0154 1,0183 1,0211 1,0268 1,0326
0,750 1,3749 1,3703 1,3661 1,3557 1,3502 1,3414 1,3319 1,3217 1,3162 1,3105 1,2983 1,2848
0,900 1,8570 1,8412 1,8271 1,7932 1,7756 1,7481 1,7193 1,6890 1,6732 1,6569 1,6228 1,5862
0,950 2,2222 2,1975 2,1757 2,1232 2,0960 2,0540 2,0102 1,9645 1,9408 1,9165 1,8657 1,8117
0,975 2,5978 2,5638 2,5338 2,4618 2,4247 2,3675 2,3082 2,2465 2,2146 2,1819 2,1141 2,0422
0,990 3,1187 3,0715 3,0300 2,9306 2,8796 2,8010 2,7200 2,6359 2,5926 2,5484 2,4568 2,3603
0,995 3,5358 3,4779 3,4270 3,3054 3,2431 3,1474 3,0488 2,9467 2,8943 2,8408 2,7302 2,6140
20
21
Página Nº 11
14
15
16
17
18
19
VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)
120 oo
11
12
13
40 48 6020 24 3018v 2
13 14 15
[ ]1 2: ;F p ν ν
v 1
P
0,500 0,9787 0,9824 0,9857 0,9932 0,9969 1,0026 1,0082 1,0139 1,0168 1,0196 1,0253 1,0311
0,750 1,3683 1,3636 1,3593 1,3488 1,3431 1,3341 1,3245 1,3140 1,3084 1,3026 1,2900 1,2761
0,900 1,8411 1,8252 1,8111 1,7768 1,7590 1,7312 1,7021 1,6714 1,6554 1,6389 1,6041 1,5668
0,950 2,1975 2,1727 2,1508 2,0980 2,0707 2,0283 1,9842 1,9380 1,9141 1,8894 1,8380 1,7831
0,975 2,5626 2,5285 2,4984 2,4262 2,3890 2,3315 2,2718 2,2097 2,1775 2,1446 2,0760 2,0032
0,990 3,0667 3,0195 2,9779 2,8786 2,8274 2,7488 2,6675 2,5831 2,5396 2,4951 2,4029 2,3055
0,995 3,4686 3,4108 3,3600 3,2387 3,1764 3,0807 2,9821 2,8799 2,8273 2,7736 2,6625 2,5455
0,500 0,9774 0,9811 0,9843 0,9918 0,9956 1,0012 1,0069 1,0126 1,0154 1,0183 1,0240 1,0297
0,750 1,3622 1,3574 1,3531 1,3424 1,3366 1,3275 1,3176 1,3069 1,3012 1,2952 1,2824 1,2681
0,900 1,8267 1,8107 1,7964 1,7619 1,7439 1,7159 1,6864 1,6554 1,6391 1,6224 1,5871 1,5490
0,950 2,1752 2,1502 2,1282 2,0751 2,0476 2,0050 1,9605 1,9139 1,8897 1,8648 1,8128 1,7570
0,975 2,5308 2,4966 2,4665 2,3940 2,3567 2,2989 2,2389 2,1763 2,1439 2,1107 2,0415 1,9677
0,990 3,0199 2,9727 2,9311 2,8317 2,7805 2,7017 2,6202 2,5355 2,4918 2,4471 2,3542 2,2559
0,995 3,4083 3,3506 3,2999 3,1787 3,1165 3,0208 2,9221 2,8197 2,7670 2,7132 2,6015 2,4837
0,500 0,9762 0,9799 0,9831 0,9906 0,9944 1,0000 1,0057 1,0113 1,0142 1,0170 1,0227 1,0284
0,750 1,3566 1,3518 1,3474 1,3365 1,3307 1,3214 1,3113 1,3004 1,2946 1,2885 1,2754 1,2607
0,900 1,8136 1,7974 1,7831 1,7483 1,7302 1,7019 1,6721 1,6407 1,6242 1,6073 1,5715 1,5327
0,950 2,1548 2,1298 2,1077 2,0543 2,0267 1,9838 1,9390 1,8920 1,8675 1,8424 1,7896 1,7331
0,975 2,5019 2,4677 2,4374 2,3648 2,3273 2,2693 2,2090 2,1460 2,1134 2,0799 2,0099 1,9353
0,990 2,9775 2,9303 2,8887 2,7892 2,7380 2,6591 2,5773 2,4923 2,4484 2,4035 2,3100 2,2107
0,995 3,3538 3,2962 3,2456 3,1246 3,0624 2,9667 2,8679 2,7654 2,7125 2,6585 2,5463 2,4276
0,500 0,9751 0,9788 0,9820 0,9895 0,9932 0,9989 1,0045 1,0102 1,0130 1,0159 1,0215 1,0273
0,750 1,3515 1,3466 1,3422 1,3311 1,3252 1,3158 1,3056 1,2945 1,2885 1,2823 1,2688 1,2538
0,900 1,8015 1,7853 1,7708 1,7358 1,7175 1,6890 1,6589 1,6272 1,6105 1,5934 1,5570 1,5176
0,950 2,1362 2,1111 2,0889 2,0353 2,0075 1,9643 1,9192 1,8718 1,8471 1,8217 1,7684 1,7110
0,975 2,4756 2,4413 2,4110 2,3381 2,3005 2,2422 2,1816 2,1183 2,0854 2,0516 1,9811 1,9055
0,990 2,9389 2,8917 2,8502 2,7506 2,6993 2,6203 2,5383 2,4530 2,4089 2,3637 2,2696 2,1694
0,995 3,3044 3,2469 3,1963 3,0754 3,0133 2,9176 2,8187 2,7160 2,6630 2,6088 2,4961 2,3765
0,500 0,9707 0,9744 0,9776 0,9850 0,9888 0,9944 1,0000 1,0056 1,0085 1,0113 1,0170 1,0226
0,750 1,3312 1,3260 1,3213 1,3096 1,3033 1,2933 1,2823 1,2703 1,2639 1,2571 1,2424 1,2256
0,900 1,7538 1,7371 1,7223 1,6862 1,6673 1,6377 1,6065 1,5732 1,5557 1,5376 1,4989 1,4564
0,950 2,0630 2,0374 2,0148 1,9601 1,9317 1,8874 1,8409 1,7918 1,7661 1,7396 1,6835 1,6223
0,975 2,3724 2,3378 2,3072 2,2334 2,1952 2,1359 2,0739 2,0089 1,9750 1,9400 1,8664 1,7867
0,990 2,7890 2,7418 2,7002 2,6003 2,5487 2,4689 2,3860 2,2992 2,2542 2,2079 2,1108 2,0062
0,995 3,1132 3,0560 3,0057 2,8852 2,8230 2,7272 2,6278 2,5241 2,4703 2,4151 2,2998 2,1760
0,500 0,9653 0,9689 0,9721 0,9795 0,9832 0,9888 0,9944 1,0000 1,0028 1,0056 1,0112 1,0169
0,750 1,3058 1,3002 1,2952 1,2826 1,2758 1,2649 1,2529 1,2397 1,2325 1,2249 1,2080 1,1883
0,900 1,6950 1,6778 1,6624 1,6249 1,6052 1,5741 1,5411 1,5056 1,4868 1,4672 1,4248 1,3769
0,950 1,9738 1,9476 1,9245 1,8682 1,8389 1,7929 1,7444 1,6928 1,6656 1,6373 1,5766 1,5089
0,975 2,2481 2,2130 2,1819 2,1068 2,0677 2,0069 1,9429 1,8752 1,8396 1,8028 1,7242 1,6371
0,990 2,6107 2,5634 2,5216 2,4210 2,3689 2,2880 2,2034 2,1142 2,0676 2,0194 1,9172 1,8047
0,995 2,8880 2,8312 2,7811 2,6607 2,5984 2,5020 2,4015 2,2958 2,2407 2,1838 2,0636 1,9318
0,500 0,9599 0,9635 0,9667 0,9740 0,9777 0,9833 0,9888 0,9944 0,9972 1,0000 1,0056 1,0112
0,750 1,2804 1,2744 1,2690 1,2555 1,2481 1,2361 1,2229 1,2081 1,2000 1,1912 1,1715 1,1474
0,900 1,6372 1,6193 1,6034 1,5642 1,5435 1,5107 1,4755 1,4373 1,4168 1,3952 1,3476 1,2915
0,950 1,8870 1,8602 1,8364 1,7784 1,7480 1,7001 1,6491 1,5943 1,5650 1,5343 1,4673 1,3893
0,975 2,1286 2,0929 2,0613 1,9846 1,9445 1,8817 1,8152 1,7440 1,7063 1,6668 1,5810 1,4822
0,990 2,4419 2,3943 2,3523 2,2507 2,1978 2,1154 2,0285 1,9360 1,8872 1,8363 1,7263 1,6007
0,995 2,6771 2,6205 2,5705 2,4498 2,3872 2,2898 2,1874 2,0789 2,0217 1,9622 1,8341 1,6885
0,500 0,9572 0,9608 0,9640 0,9713 0,9750 0,9805 0,9861 0,9916 0,9944 0,9972 1,0028 1,0084
0,750 1,2677 1,2615 1,2559 1,2418 1,2341 1,2215 1,2076 1,1919 1,1831 1,1737 1,1520 1,1245
0,900 1,6086 1,5904 1,5741 1,5340 1,5128 1,4790 1,4426 1,4027 1,3812 1,3583 1,3071 1,2446
0,950 1,8445 1,8174 1,7932 1,7342 1,7032 1,6542 1,6017 1,5449 1,5144 1,4821 1,4107 1,3247
0,975 2,0706 2,0346 2,0026 1,9250 1,8843 1,8204 1,7523 1,6790 1,6399 1,5987 1,5079 1,3998
0,990 2,3608 2,3131 2,2709 2,1686 2,1153 2,0318 1,9435 1,8489 1,7986 1,7459 1,6305 1,4942
0,995 2,5767 2,5201 2,4700 2,3492 2,2862 2,1881 2,0845 1,9739 1,9153 1,8540 1,7203 1,5634
0,500 0,9563 0,9599 0,9631 0,9704 0,9741 0,9796 0,9852 0,9907 0,9935 0,9963 1,0019 1,0075
0,750 1,2635 1,2572 1,2516 1,2372 1,2294 1,2167 1,2024 1,1864 1,1774 1,1677 1,1453 1,1163
0,900 1,5992 1,5808 1,5644 1,5240 1,5025 1,4684 1,4315 1,3911 1,3691 1,3457 1,2932 1,2280
0,950 1,8305 1,8032 1,7789 1,7196 1,6883 1,6389 1,5859 1,5284 1,4974 1,4645 1,3914 1,3020
0,975 2,0515 2,0154 1,9833 1,9053 1,8644 1,8001 1,7315 1,6574 1,6177 1,5758 1,4831 1,3710
0,990 2,3342 2,2865 2,2442 2,1417 2,0882 2,0044 1,9155 1,8201 1,7693 1,7158 1,5982 1,4574
0,995 2,5439 2,4873 2,4373 2,3163 2,2532 2,1548 2,0507 1,9394 1,8803 1,8182 1,6822 1,5204
0,500 0,9545 0,9581 0,9613 0,9686 0,9723 0,9778 0,9833 0,9889 0,9917 0,9944 1,0000 1,0056
0,750 1,2550 1,2486 1,2428 1,2281 1,2200 1,2068 1,1921 1,1752 1,1658 1,1555 1,1314 1,0987
0,900 1,5803 1,5617 1,5450 1,5039 1,4821 1,4472 1,4094 1,3676 1,3448 1,3203 1,2646 1,1926
0,950 1,8026 1,7750 1,7505 1,6904 1,6587 1,6084 1,5543 1,4952 1,4632 1,4290 1,3519 1,2539
0,975 2,0136 1,9773 1,9450 1,8663 1,8249 1,7597 1,6899 1,6141 1,5733 1,5299 1,4327 1,3105
0,990 2,2818 2,2339 2,1915 2,0885 2,0346 1,9500 1,8600 1,7628 1,7108 1,6557 1,5330 1,3805
0,995 2,4794 2,4228 2,3727 2,2514 2,1881 2,0890 1,9840 1,8709 1,8106 1,7469 1,6055 1,4311
0,500 0,9492 0,9528 0,9559 0,9632 0,9669 0,9724 0,9779 0,9834 0,9861 0,9889 0,9944 1,0000
0,750 1,2295 1,2226 1,2163 1,2003 1,1914 1,1767 1,1600 1,1404 1,1291 1,1164 1,0838 1,0000
0,900 1,5240 1,5046 1,4871 1,4439 1,4206 1,3832 1,3419 1,2951 1,2689 1,2400 1,1686 1,0000
0,950 1,7202 1,6918 1,6664 1,6039 1,5705 1,5173 1,4591 1,3940 1,3577 1,3180 1,2214 1,0000
0,975 1,9027 1,8656 1,8326 1,7515 1,7085 1,6402 1,5660 1,4835 1,4380 1,3883 1,2684 1,0000
0,990 2,1299 2,0815 2,0385 1,9336 1,8783 1,7908 1,6964 1,5923 1,5351 1,4730 1,3246 1,0000
0,995 2,2938 2,2371 2,1868 2,0642 1,9998 1,8983 1,7891 1,6691 1,6035 1,5325 1,3637 1,0000
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VALORES PERCENTILES, , DE LA DISTRIBUCIÓN F DE FISHER (CONTINUACIÓN)
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[ ]1 2: ;F p ν ν