Tabla I Distribución Binomial p .01 .05 .10 .15 .20 .25 .30 1/3 .35 .40

Tabla I Distribución Binomial
n
2
3
4
5
6
7
8
p
r
0
1
2
0
1
2
3
0
1
2
3
4
0
1
2
3
4
5
0
1
2
3
4
5
6
0
1
2
3
4
5
6
7
0
1
2
3
4
5
6
7
8
.01
.05
.10
.15
.20
.25
.30
1/3
.35
.40
.45
.49
.50
.9801
.0198
.0001
.9703
.0294
.0003
.0000
.9606
.0388
.0006
.0000
.0000
.9510
.0480
.0010
.0000
.0000
.0000
.9415
.0571
.0014
.0000
.0000
.0000
.0000
.9321
.0659
.0020
.0000
.0000
.0000
.0000
.0000
.9227
.0746
.0026
.0001
.0000
.0000
.0000
.0000
.0000
.9025
.0950
.0025
.8574
.1354
.0071
.0001
.8145
.1715
.0135
.0005
.0000
.7738
.2036
.0214
.0011
.0000
.0000
.7351
.2321
.0305
.0021
.0001
.0000
.0000
.6983
.2573
.0406
.0036
.0002
.0000
.0000
.0000
.6634
.2793
.0515
.0054
.0004
.0000
.0000
.0000
.0000
.8100
.1800
.0100
.7290
.2430
.0270
.0010
.6561
.2916
.0486
.0036
.0001
.5905
.3280
.0729
.0081
.0004
.0000
.5314
.3543
.0984
.0146
.0012
.0001
.0000
.4783
.3720
.1240
.0230
.0026
.0002
.0000
.0000
.4305
.3826
.1488
.0331
.0046
.0004
.0000
.0000
.0000
.7225
.2550
.0225
.6141
.3251
.0574
.0034
.5220
.3685
.0975
.0115
.0005
.4437
.3915
.1382
.0244
.0022
.0001
.3771
.3993
.1762
.0415
.0055
.0004
.0000
.3206
.3960
.2097
.0617
.0109
.0012
.0001
.0000
.2725
.3847
.2376
.0839
.0185
.0026
.0002
.0000
.0000
.6400
.3200
.0400
.5120
.3840
.0960
.0080
.4096
.4096
.1636
.0256
.0016
.3277
.4096
.2048
.0512
.0064
.0003
.2621
.3932
.2458
.0819
.0154
.0015
.0001
.2097
.3670
.2753
.1147
.0287
.0043
.0004
.0000
.1678
.3355
.2936
.1468
.0459
.0092
.0011
.0001
.0000
.5625
.3750
.0625
.4219
.4219
.1406
.0156
.3164
.4219
.2109
.4609
.0039
.2373
.3855
.2637
.0879
.0146
.0010
.1780
.3560
.2966
.1318
.0330
.0044
.0002
.1335
.3115
.3115
.1730
.0577
.0115
.0013
.0001
.1001
.2670
.3115
.2076
.0865
.0231
.0038
.0004
.0000
.4900
.4200
.0900
.3430
.4410
.1890.
.0270
.2401
.4116
.2646
.0756
.0081
.1681
.3602
.3087
.1323
.0284
.0024
.1176
.3025
.3241
.1852
.0595
.0102
.0007
.0824
.2471
.3177
.2269
.0972
.0250
.0036
.0002
.0576
.1977
.2965
.2541
.1361
.0467
.0100
.0012
.0001
.4444
.4444
.1111
.2963
.4444
.2222
.0370
.1975
.3951
.2963
.0988
.0123
.1317
.3292
.3292
.1646
.0412
.0041
.0878
.2634
.3292
.2195
.0823
.0165
.0014
.0585
.2048
.3073
.2561
.1280
.0384
.0064
.0005
.0390
.1561
.2731
.2731
.1707
.0683
.0171
.0024
.0002
.4225
.4550
.1225
.2746
.4436
.2389
.0429
.1785
.3845
.3105
.1115
.0150
.1160
.3124
.3364
.1811
.0488
.0053
.0754
.2437
.3280
.2355
.0951
.0205
.0018
.0490
.1848
.2985
.2679
.1442
.0466
.0084
.0006
.0319
.1373
.2587
.2786
.1875
.0808
.0217
.0033
.0002
.3600
.4800
.1600
.2160
.4320
.2880
.0640
.1296
.3456
.3456
.1536
.0256
.0778
.2592
.3456
.2304
.0768
.0102
.0467
.1866
.3110
.2765
.1382
.0369
.0041
.0280
.1306
.2613
.2903
.1935
.0774
.0172
.0016
.0168
.0896
.2090
.2787
.2322
.1239
.0413
.0079
.0007
.3025
.4950
.2025
.1664
.4084
.3341
.0911
.0915
.2995
.3675
.2005
.0410
.0503
.2059
.3369
.2757
.1128
.0185
.0277
.1359
.2780
.3032
.1861
.0609
.0083
.0152
.0872
.2140
.2918
.2388
.1172
.0320
.0037
.0084
.0548
.1569
.2568
.2627
.1719
.0703
.0164
.0017
.2601
.4998
.2401
.1327
.3823
3674
.1176
.0677
.2600
.3747
.2400
.0576
.0345
.1657
.3185
.3060
.1470
.0283
.0176
.1014
.2437
.3121
.2249
.0864
.0139
.0090
.0603
.1740
.2786
.2676
.1543
.0494
.0068
.0046
.0352
.1183
.2273
.2730
.2098
.1008
.0277
.0033
.2500
.5000
.2500
.1250
.3750
.3750
.1250
.0625
.2500
.3750
.2500
.0625
.0312
.1562
.3125
.3125
.1562
.0312
.0156
.0938
.2344
.3125
.2344
.0938
.0156
.0078
.0574
.1641
.2734
.2734
.1641
.0547
.0078
.0039
.0312
.1094
.2188
.2734
.2188
.1094
.0312
.0039
Tabla I Distribución Binomial (Continuación)
n
9
10
p
r
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
10
.01
.05
.10
.15
.20
.25
.30
1/3
.35
.40
.45
.49
.50
.9135
.0830
.0034
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.9044
.0914
.0042
.0001
.0000
.0000
.0000
.0000
.0000
.0000
.0000
.6302
.2985
.0629
.0077
.0006
.0000
.0000
.0000
.0000
.0000
.5987
.3151
.0746
.0105
.0010
.0001
.0000
.0000
.0000
.0000
.0000
.3874
.3874
.1722
.0446
.0074
.0008
.0001
.0000
.0000
.0000
.3487
.3874
.1937
.0574
.0112
.0015
.0001
.0000
.0000
.0000
.0000
.2316
.3679
.2597
.1069
.0283
.0050
.0006
.0000
.0000
.0000
.1969
.3474
.2759
.1298
.0401
.0085
.0012
.0001
.0000
.0000
.0000
.1342
.3020
.3020
.1762
.0661
.0165
.0028
.0003
.0000
.0000
.1074
.2684
.3020
.2013
.0881
.0264
.0055
.0008
.0001
.0000
.0000
.0751
.2253
.3003
.2336
.1168
.0389
.0087
.0012
.0001
.0000
.0563
.1877
.2816
.2503
.1460
.0584
.0162
.0031
.0004
.0000
.0000
.0404
.1556
.2688
.2668
.1715
.0735
.0210
.0039
.0004
.0000
.0282
.1211
.2335
.2668
.2001
.1029
.0368
.0090
.0014
.0001
.0000
.0260
.1171
.2341
.2731
.2048
.1024
.0341
.0073
.0009
.0001
.0173
.0867
.1951
.2601
.2276
.1366
.0596
.0163
.0030
.0003
.0000
.0207
.1004
.2162
.2716
.2194
.1181
.0424
.0098
.0013
.0001
.0135
.0725
.1757
.2522
.2377
.1536
.0689
.0212
.0043
.0005
.0000
.0101
.0605
.1612
.2508
.2508
.1672
.0743
.0212
.0035
.0003
.0060
.0403
.1209
.2150
.2508
.2007
.1115
.0425
.0106
.0016
.0001
.0046
.0339
.1110
.2119
.2600
.2128
.1160
.0407
.0083
.0008
.0025
.0207
.0763
.1665
.2384
.2340
.1596
.0746
.0229
.0042
.0003
.0023
.0202
.0776
.1739
.2506
.2408
.1542
.0635
.0153
.0016
.0012
.0114
.0495
.1267
.2130
.2456
.1966
.1080
.0389
.0083
.0008
.0020
.0176
.0703
.1641
.2461
.2461
.1641
.0703
.0176
.0020
.0010
.0098
.0439
.1172
.2051
.2461
.2051
.1172
.0439
.0098
.0010
Tabla II Distribución de Poisson
r
λ
.l
.2
.3
.4
.5
.6
.7
.8
.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
1.9
2.0
2.2
2.4
2.6
2.8
3.0
3.2
3.4
3.6
3.8
4.0
5.0
6.0
7.0
8.0
9.0
10.0
r
λ
5.0
6.0
7.0
8.0
9.0
10.0
0
1
2
3
4
5
6
7
8
9
10
11
12
.9048
.8187
.7408
.6703
.6065
.5488
.4966
.4493
.4066
.3679
.3329
.3012
.2725
.2466
.2231
.2019
.1827
.1653
.1496
.1353
.1108
.0907
.0743
.0608
.0498
.0408
.0334
.0273
.0224
.0183
.0067
.0025
.0009
.0003
.0001
.0000
13
.0905
.1637
.2222
.2681
.3033
.3293
.3476
.3595
.3659
.3679
.3662
.3614
.3543
.3452
.3347
.3230
.3106
.2975
.2842
.2707
.2438
.2177
.1931
.1703
.1494
.1304
.1135
.0984
.0850
.0733
.0337
.0149
.0064
.0027
.0011
.0005
14
.0045
.0164
.0333
.0536
.0758
.0988
.1217
.1438
.1647
.1839
.2014
.2169
.2303
.2417
.2510
.2584
.2640
.2678
.2700
.2707
.2681
.2613
.2510
.2384
.2240
.2087
.1929
.1771
.1615
.1465
.0842
.0446
.0223
.0107
.0050
.0023
15
.0002
.0011
.0033
.0072
.0126
.0198
.0284
.0383
.0494
.0613
.0738
.0867
.0998
.1128
.1255
.1378
.1496
.1607
.1710
.1804
.1966
.2090
.2176
.2225
.2240
.2226
.2186
.2125
.2046
.1954
.1404
.0892
.0521
.0286
.0150
.0076
16
.0000
.0001
.0002
.0007
.0016
.0030
.0050
.0077
.0111
.0153
.0203
.0260
.0324
.0395
.0471
.0551
.0636
.0723
.0812
.0902
l082
.1254
.1414
.1557
.1680
.1781
.1858
.1912
.1944
.1954
.1755
.1339
.0912
.0573
.0337
.0189
17
.0000
.0000
.0001
.0002
.0004
.0007
.0012
.0020
.0031
.0045
.0062
.0084
.0111
.0141
.0176
.0216
.0260
.0309
.0361
.0476
.0602
.0735
.0872
.1008
.1140
.1264
.1377
.1477
.1563
.1755
.1606
.1277
.0916
.0607
.0378
18
.0000
.0000
.0000
.0001
.0002
.0003
.0005
.0008
.0012
.0018
.0026
.0035
.0047
.0061
.0078
.0098
.0120
.0174
.0241
.0319
.0407
.0504
.0608
.0716
.0826
.0936
.1042
.1462
.1606
.1490
.1221
.0911
.0631
19
.0000
.0000
.0000
.0001
.0001
.0002
.0003
.0005
.0008
.0011
.0015
.0020
.0027
.0034
.0055
.0083
.0118
.0163
.0216
.0278
.0348
.0425
.0508
.0595
.1044
.1377
.1490
.1396
.1171
.0901
20
.0000
.0000
.0000
.0001
.0001
.0001
.0002
.0003
.0005
.0006
.0009
.0015
.0025
.0038
.0057
.0081
.0111
.0148
.0191
.0241
.0298
.0653
.1033
.1304
.1396
.1318
.1126
21
.0000
.0000
.0000
.0000
.0001
.0001
.0001
.0002
.0004
.0007
.0011
.0018
.0027
.0040
.0056
.0076
.0102
.0132
.0363
.0688
.1014
.1241
.1318
.1251
22
.0000
.0000
.0000
.0000
.0001
.0002
.0003
.0005
.0008
.0013
.0019
.0028
.0039
.0053
.0181
.0413
.0710
.0993
.1186
.1251
23
.0000
.0000
.0001
.0001
.0002
.0004
.0006
.0009
.0013
.0019
.0082
.0225
.0452
.0722
.0970
.1137
24
.0000
.0000
.0001
.0001
.0002
.0003
.0004
.0006
.0034
.0113
.0264
.0481
.0728
.0948
.0013
.0052
.0142
.0296
.0504
.0729
.0005
.0022
.0071
.0169
.0324
.0521
.0002
.0009
.0033
.0090
.0194
.0347
.0003
.0014
.0045
.0109
.0217
.0001
.0006
.0021
.0058
.0128
.0002
.0009
.0029
.0071
.0001
.0004
.0014
.0037
.0002
.0006
.0019
.0001
.0003
.0009
.0001
.0004
.0002
.0001
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
1.7
1.8
1.9
2.0
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
3.0
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
0.00
0.5000
0.4602
0.4207
0.3821
0.3446
0.3085
0.2743
0.2420
0.2119
0.1841
0.1597
0.1357
0.1151
0.0968
0.0808
0.0668
0.0548
0.0446
0.0359
0.0287
0.0228
0.0179
0.0139
0.0107
0.0082
0.00621
0.00466
0.00347
0.00256
0.00187
0.00135
0.00097
0.00069
0.00048
0.00034
0.00023
0.00016
0.00011
0.00007
0.00005
Tabla III. Valores críticos de la distribución Normal estándar
R∞
2
P [Z > Zα ] = Zα √12π exp−z /2 dz = α
0.01
0.4960
0.4562
0.4168
0.3783
0.3409
0.3050
0.2709
0.2389
0.2090
0.1814
0.1562
0.1335
0.1131
0.0951
0.0793
0.0655
0.0537
0.0436
0.0351
0.0281
0.0222
0.0174
0.0136
0.0104
0.00798
0.00604
0.00453
0.00336
0.00248
0.00181
0.00131
0.00094
0.00066
0.00047
0.00032
0.00022
0.00015
0.00010
0.00007
0.00005
0.02
0.4920
0.4522
0.4129
0.3745
0.3372
0.3015
0.2676
0.2358
0.2061
0.1788
0.1539
0.1314
0.1112
0.0934
0.0778
0.0643
0.0526
0.0427
0.0344
0.0274
0.0217
0.0170
0.0132
0.0102
0.00776
0.00587
0.00440
0.00326
0.00240
0.00175
0.00126
0.00091
0.00064
0.00045
0.00031
0.00022
0.00015
0.00010
0.00007
0.00004
0.03
0.4880
0.4483
0.4090
0.3707
0.3336
0.2981
0.2643
0.2327
0.2033
0.1762
0.1515
0.1292
0.1093
0.0918
0.0764
0.0630
0.0516
0.0418
0.0336
0.0268
0.0212
0.0166
0.0129
0.0099
0.00755
0.00570
0.00427
0.00317
0.00233
0.00169
0.00122
0.00087
0.00062
0.00043
0.0003
0.00021
0.00014
0.00010
0.00006
0.00004
0.04
0.4840
0.4443
0.4052
0.3669
0.3300
0.2946
0.2611
0.2296
0.2005
0.1736
0.1492
0.1271
0.1075
0.0901
0.0749
0.0618
0.0505
0.0409
0.0329
0.0262
0.0207
0.0162
0.0125
0.0096
0.00734
0.00554
0.00415
0.00307
0.00226
0.00164
0.00118
0.00084
0.0006
0.00042
0.00029
0.00020
0.00014
0.00009
0.00006
0.00004
0.05
0.4801
0.4404
0.4013
0.3632
0.3264
0.2912
0.2578
0.2266
0.1977
0.1711
0.1469
0.1251
0.1056
0.0885
0.0735
0.0606
0.0495
0.0401
0.0322
0.0256
0.0202
0.0158
0.0122
0.0094
0.00714
0.00539
0.00402
0.00298
0.00219
0.00159
0.00114
0.00082
0.00058
0.00041
0.00028
0.00019
0.00013
0.00009
0.00006
0.00004
0.06
0.4761
0.4364
0.3974
0.3594
0.3228
0.2877
0.2546
0.2236
0.1949
0.1685
0.1446
0.1230
0.1038
0.0869
0.0721
0.0594
0.0485
0.0392
0.0314
0.0250
0.0197
0.0154
0.0119
0.0091
0.00695
0.00523
0.00391
0.00289
0.00212
0.00154
0.00111
0.00079
0.00056
0.00032
0.00027
0.00019
0.00013
0.00009
0.00006
0.00004
0.07
0.4721
0.4325
0.3936
0.3557
0.3192
0.2843
0.2514
0.2206
0.1922
0.1660
0.1423
0.1210
0.1020
0.0853
0.0708
0.0582
0.0475
0.0394
0.0307
0.0244
0.0192
0.0150
0.0116
0.0089
0.00676
0.00508
0.00379
0.00280
0.00205
0.00149
0.00107
0.00076
0.00054
0.00038
0.00026
0.00018
0.00012
0.00008
0.00005
0.00004
0.08
0.4681
0.4286
0.3897
0.3520
0.3156
0.2910
0.2483
0.2177
0.1894
0.1635
0.1401
0.1190
0.1003
0.0838
0.0694
0.0571
0.0465
0.0375
0.0301
0.0239
0.0188
0.0146
0.0113
0.0087
0.00657
0.00494
0.00368
0.00272
0.00199
0.00144
0.00103
0.00074
0.00052
0.00036
0.00025
0.00017
0.00012
0.00008
0.00005
0.00003
0.09
0.4641
0.4247
0.3859
0.3483
0.3121
0.2776
0.2451
0.2148
0.1867
0.1611
0.1379
0.1170
0.0995
0.0823
0.0681
0.0559
0.0455
0.0367
0.0294
0.0233
0.0183
0.0143
0.0110
0.0084
0.00639
0.00480
0.00357
0.00264
0.00193
0.00139
0.00100
0.00071
0.00050
0.00035
0.00024
0.00017
0.00011
0.00008
0.00005
0.00003
Tabla IV. Valores críticos de la distribución t de Student:
Abcisas tα;ν que dejan a su derecha un área α en una t con ν grados de libertad.
ν
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
0.4
0.325
0.289
0.277
0.271
0.267
0.265
0.263
0.262
0.261
0.260
0.260
0.259
0.259
0.258
0.258
0.258
0.257
0.257
0.257
0.257
0.257
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.256
0.255
0.254
0.254
0.253
0.25
1.000
0.816
0.765
0.741
0.727
0.718
0.711
0.706
0.703
0.700
0.697
0.695
0.694
0.692
0.691
0.690
0.689
0.688
0.688
0.687
0.686
0.686
0.685
0.685
0.684
0.684
0.684
0.683
0.683
0.683
0.681
0.679
0.677
0.674
0.1
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1.363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1.321
1.319
1.318
1.316
1.315
1.314
1.313
1.311
1.310
1.303
1.296
1.289
1.282
0.05
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.860
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.708
1.706
1.703
1.701
1.699
1.697
1.684
1.671
1.658
1.645
0.025
12.706
4.303
3.182
2.776
2.571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.131
2.120
2.110
2.101
2.093
2.086
2.080
2.074
2.069
2.064
2.060
2.056
2.052
2.048
2.045
2.042
2.021
2.000
1.980
1.960
0.01
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.896
2.821
2.764
2.718
2.681
2.650
2.624
2.602
2.583
2.567
2.552
2.539
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.457
2.423
2.390
2.358
2.326
0.005
63.657
9.925
5.841
4.604
4.032
3.707
3.499
3.355
3.250
3.169
3.106
3.055
3.012
2.977
2.947
2.921
2.898
2.878
2.861
2.845
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.750
2.704
2.660
2.617
2.576
0.0025
127.32
14.089
7.453
5.598
4.773
4.317
4.029
3.833
3.690
3.581
3.497
3.428
3.372
3.326
3.286
3.252
3.222
3.197
3.174
3.153
3.135
3.119
3.104
3.091
3.078
3.067
3.057
3.047
3.038
3.030
2.971
2.915
2.860
2.807
0.001
318.31
22.326
10.213
7.173
5.893
5.208
4.785
4.501
4.297
4.144
4.025
3.930
3.852
3.787
3.733
3.686
3.646
3.610
3.579
3.552
3.527
3.505
3.485
3.467
3.450
3.435
3.421
3.408
3.396
3.385
3.307
3.232
3.160
3.090
0.0005
636.62
31.598
12.924
8.610
6.869
5.959
5.408
5.041
4.781
4.587
4.437
4.318
4.221
4.140
4.073
4.015
3.965
3.922
3.883
3.850
3.819
3.792
3.767
3.745
3.725
3.707
3.690
3.674
3.659
3.646
3.551
3.460
3.373
3.291
Tabla V. Valores críticos de la distribución χ2 de Pearson:
Abcisas χ2α;ν que dejan a su derecha un área α bajo la χ2 con ν grados de libertad.
ν
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
0.995
0.010
0.072
0.207
0.412
0.676
0.989
1.34
1.73
2.16
2.60
3.07
3.57
4.07
4.60
5.14
5.70
6.26
6.84
7.43
8.03
8.64
9.26
9.89
10.5
11.2
11.8
12.5
13.1
13.8
0.99
0.020
0.115
0.297
0.554
0.872
1.24
1.65
2.09
2.56
3.05
3.57
4.11
4.66
5.23
5.81
6.41
7.01
7.63
8.26
8.90
9.54
10.2
10.9
11.5
12.2
12.9
13.6
14.3
15.0
0.975
0.051
0.216
0.484
0.831
1.24
1.69
2.18
2.70
3.25
3.82
4.40
5.01
5.63
6.26
6.91
7.56
8.23
8.91
9.59
10.3
11.0
11.7
12.4
13.1
13.8
14.6
15.3
16.0
16.8
0.95
0.103
0.352
0.711
1.15
1.64
2.17
2.73
3.33
3.94
4.57
5.23
5.89
6.57
7.26
7.96
8.67
9.39
10.1
10.9
11.6
12.3
13.1
13.8
14.6
15.4
16.2
16.9
17.7
18.5
0.9
0.016
0.211
0.584
1.06
1.61
2.20
2.83
3.49
4.17
4.87
5.58
6.30
7.04
7.79
8.55
9.31
10.1
10.9
11.7
12.4
13.2
14.0
14.8
15.7
16.5
17.3
18.1
18.9
19.8
20.6
0.75
0.102
0.575
1.21
1.92
2.67
3.45
4.25
5.07
5.90
6.74
7.58
8.44
9.30
10.2
11.0
11.9
12.8
13.7
14.6
15.5
16.3
17.2
18.1
19.0
19.9
20.8
21.7
22.7
23.6
24.5
0.5
0.455
1.39
2.37
3.36
4.35
5.35
6.35
7.34
8.34
9.34
10.3
11.3
12.3
13.3
14.3
15.3
16.3
17.3
18.3
19.3
20.3
21.3
22.3
23.3
24.3
25.3
26.3
27.3
28.3
29.3
0.25
1.32
2.77
4.11
5.39
6.63
7.84
9.04
10.2
11.4
12.5
13.7
14.8
16.0
17.1
18.2
19.4
20.5
21.6
22.7
23.8
24.9
26.0
27.1
28.2
29.3
30.4
31.5
32.6
33.7
34.8
0.1
2.71
4.61
6.25
7.78
9.24
10.6
12.0
13.4
14.7
16.0
17.3
18.5
19.8
21.1
22.3
23.5
24.8
26.0
27.2
28.4
29.6
30.8
32.0
33.2
34.4
35.6
36.7
37.9
39.1
40.3
0.05
3.84
5.99
7.81
9.49
11.1
12.6
14.1
15.5
16.9
18.3
19.7
21.0
22.4
23.7
25.0
26.3
27.6
28.9
30.1
31.4
32.7
33.9
35.2
36.4
37.7
38.9
40.1
41.3
42.6
43.8
0.025
5.02
7.38
9.35
11.1
12.8
14.4
16.0
17.5
19.0
20.5
21.9
23.3
24.7
26.1
27.5
28.8
30.2
31.5
32.9
34.2
35.5
36.8
38.1
39.4
40.6
41.9
43.2
44.5
45.7
47.0
0.01
6.63
9.21
11.3
13.3
15.1
16.8
18.5
20.1
21.7
23.2
24.7
26.2
27.7
29.1
30.6
32.0
33.4
34.8
36.2
37.6
38.9
40.3
41.6
43.0
44.3
45.6
47.0
48.3
49.6
50.9
0.005
7.88
10.6
12.8
14.9
16.7
18.5
20.3
22.0
23.6
25.2
26.8
28.3
29.8
31.3
32.8
34.3
35.7
37.2
38.6
40.0
41.4
42.8
44.2
45.6
46.9
48.3
49.6
51.0
52.3
53.7
0.001
10.8
13.8
16.3
18.5
20.5
22.5
24.3
26.1
21.9
29.6
31.3
32.9
34.5
36.1
37.7
39.3
40.8
42.3
43.8
45.3
46.8
48.3
49.7
51.2
52.6
54.1
55.5
56.9
58.3
59.7
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
5.83
2.57
2.02
1.81
1.69
1.62
1.57
1.54
1.51
1.49
1.47
1.46
1.45
1.44
1.43
1.42
1.42
1.41
1.41
1.40
1.40
1.40
1.39
1,39
1,39
1.38
1.38
1.38
1.38
1.38
1.36
1.35
1.34
1.32
2
7.50
3.00
2.28
2.00
1.85
1.76
1,70
1.66
1.62
1.60
1.58
1.56
1.55
1.53
1.52
1.51
1.51
1.50
1.49
1.49
1.48
1.48
1.47
1.47
1.47
1.46
1.46
1.46
1.45
1.45
1.44
1.42
1.40
1.39
3
8.20
3.15
2.36
2.05
1.88
1.78
1.72
1.67
1.63
1.60
1.58
1.56
1.55
1.53
1.52
1.51
1,50
1.49
1.49
1.48
1.48
1.47
1.47
1.46
1.46
1.45
1.45
1.45
1.45
1.44
1.42
1.41
1.39
1.37
4
8.58
3.23
2.39
2.06
1.89
1.79
1.72
1.66
1.63
1.59
1.57
1.55
1.53
1.52
1.51
1.50
1.49
1.48
1.47
1.47
1.46
1.45
1.45
1.44
1.44
1.44
1.43
1.43
1.43
1.42
1.40
1.38
1.37
1.35
5
8.82
3.28
2.41
2.07
1.89
1.79
1.71
1.66
1,62
1.59
1.56
1.54
1.52
1.51
1.49
1.48
1.47
1.46
1.46
1.45
1.44
1.44
1.43
1.43
1.42
1.42
1.42
1.41
1.41
1.41
1.39
1.37
1.35
1.33
6
8.98
3.31
2.42
2.08
1.89
1.78
1.71
1.65
1.61
1.58
1.55
1.53
1.51
1.50
1.48
1.47
1.46
1.45
l.44
1.44
1.43
1.42
1.42
1.41
1.41
1.41
1.40
1.40
1.40
1.39
1.37
1.35
1.33
1.31
7
9.10
3.34
2.43
2.08
1.89
1.78
1.70
1.64
1.60
1.57
1.54
1.52
1.50
1.49
1.47
1.46
1.45
1.44
1.43
1.43
1.42
1.41
1.41
1.40
1.40
1.39
1.39
1.39
1.38
1.38
1.36
1.33
1.31
1.29
8
9.19
3.35
2.44
2.09
1.89
1.78
1.70
1.64
1.60
1.56
1.53
1,51
1.49
1.48
1.46
1.45
1.44
1.43
1.42
1.42
1.41
1.40
1.40
1.39
1.39
1.38
1.38
1.38
1.37
1.37
1.35
1.32
1.30
1.28
α = 0,25
ν1
9
10
9.26 9.32
3.37 3.38
2.44 2.44
2.08 2.08
1.89 1.89
1.77 1.77
1.69 1.69
1.63 1.63
1.59 1.59
1.56 1.55
1.53 1.52
1.51 1.50
1.49 1.48
1.47 1.46
1.46 1.45
1.44 l.44
1.43 1.43
1.42 1.42
1.41 1.41
1.41 1.40
1.40 1.39
1.39 1.39
1.39 1.38
1.38 1.38
1.38 1.37
1.37 1.37
1.37 1.36
1.37 1.36
1.36 1.35
1.36 1.35
1.34 1.33
1.31 1.30
1.29 1.28
1.27 1.25
12
9.41
3.39
2.45
2.08
1.89
1.77
1.68
1.62
1.58
1.54
1.51
1.49
1.47
1.45
1.44
1.43
1.41
1.40
1.40
1.39
1.38
1.37
1.37
1.36
1.36
1.35
1.35
1.34
1.34
1.34
1.31
1.29
1.26
1.24
15
9.49
3.41
2.46
2.08
1.89
1.76
1.68
1.62
1.57
1.53
1.50
1.48
1.46
1.44
1.43
1.41
1.40
1.39
1.38
1.37
1.37
1.36
1.35
1.35
1.34
1.34
1.33
1.33
1.32
1.32
1.30
1.27
1.24
1.22
20
9.58
3.43
2.46
2.08
1.88
1.76
1.67
1.61
1.56
1.52
1.49
1.47
1.45
1.43
1.41
1.40
1.39
1.38
1,37
1.36
1.35
1.34
1.34
1.33
1.33
1.32
1.32
1.31
1.31
1.30
1.28
1.25
1.22
1.19
24
9.63
3.43
2,46
2.08
1.88
1.75
1.67
1.60
1.56
1.52
1.49
1.46
1.44
1.42
1.41
1.39
1.38
1.37
1.36
1.35
1.34
1.33
1.33
1.32
1.32
1.31
1.31
1.30
1.30
1.29
1.26
1.24
1.21
1.18
30
9.67
3.44
2.47
2.08
1.88
1.75
1.66
1.60
1.55
1.51
1.48
1.45
1.43
1.41
1.40
1.38
1.37
1.36
1.35
1.34
1.33
1.32
1.32
1.31
1.31
1.30
1.30
1.29
1.29
1.28
1.25
1.22
1.19
1.16
40
9.71
3.45
2.47
2.08
1.88
1.75
1.66
1.59
1.54
1.51
1.47
1.45
1.42
1.41
1.39
l.37
1.36
1.35
1.34
1.33
1.32
1.31
1.31
1.30
1.29
1.29
1.28
1.28
1.27
1.27
1.24
1.21
1.18
1.14
60
9.76
3.46
2.47
2.08
1.87
1.74
1.65
1.59
1.54
1.50
1.47
1.44
1.42
1.40
1.38
1.36
1.35
1.34
1.33
1.32
1.31
1.30
1.30
1.29
1.28
1.28
1.27
1.27
1.26
1.26
1.22
1.19
1.16
1.12
120
9.80
3.47
2.47
2.08
1.87
1.74
1.65
1.58
1.53
1.49
1.46
1.43
1.41
1,39
1.37
1.35
1.34
1.33
1.32
1.31
1.30
1.29
1.28
1.28
1.27
1,26
1.26
1.25
1.25
1.24
1.21
1.17
1.13
1.08
∞
9.85
3.48
2.47
2.08
1.87
1.74
1.65
1.58
1.53
1.48
1.45
1.42
1.40
1.38
1.36
1.34
1.33
1.32
1.30
1.29
1.28
1.28
1.27
1.26
1.25
1.25
1.24
1.24
1.23
1.23
1.19
1.15
1.10
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
39.86
8.53
5.54
4.54
4.06
3.78
3.59
3.46
3.36
3.29
3.23
3.18
3.14
3.10
3.07
3.05
3.03
3.01
2.99
2.97
2.96
2.95
2.94
2.93
2.92
2.91
2.90
2.89
2.89
2.88
2.84
2.79
2.75
2.71
2
49.50
9.00
5.46
4.32
3.78
3.46
3.26
3.11
3.01
2.92
2.86
2.81
2.76
2.73
2.70
2.67
2.64
2.62
2.61
2.59
2.57
2.56
2.55
2.54
2.53
2.52
2.51
2.50
2.50
2.49
2.44
2.39
2.35
2.30
3
53.59
9.16
5.39
4.19
3.62
3.29
3.07
2.92
2.81
2.73
2.66
2.61
2.56
2.52
2.49
2.46
2.44
2.42
2.40
2.38
2.36
2.35
2.34
2.33
2.32
2.31
2.30
2.29
2.28
2.28
2.23
2.18
2.13
2.08
4
55.83
9.24
5.34
4.11
3.52
3.18
2.96
2.81
2.69
2.61
2.54
2.48
2.43
2.39
2.36
2.33
2.31
2.29
2.27
2.25
2.23
2.22
2.21
2.19
2.18
2.17
2.17
2.16
2.15
2.14
2.09
2.04
1.99
1.94
5
57.24
9.29
5.31
4.05
3.45
3.11
2.88
2.73
2.61
2.52
2.45
2.39
2.35
2.31
2.27
2.24
2.22
2.20
2.18
2.16
2.14
2.13
2.11
2.10
2.09
2.08
2.07
2.06
2.06
2.05
2.00
1.95
1.90
1.85
6
58.20
9.33
5.28
4.01
3.40
3.05
2.83
2.67
2.55
2.46
2.39
2.33
2.28
2.24
2.21
2.18
2.15
2.13
2.11
2.09
2.08
2.06
2.05
2.04
2.02
2.01
2.00
2.00
1.99
1.98
1.93
1.87
1.82
1.77
7
58.91
9.35
5.27
3.98
3.37
3.01
2.78
2.62
2.51
2.41
2.34
2.28
2.23
2.19
2.16
2.13
2.10
2.08
2.06
2.04
2.02
2.01
1.99
1.98
1.97
1.96
1.95
1.94
1.93
1.93
1.87
1.82
1.77
1.72
8
59.44
9.37
5.25
3.95
3.34
2.98
2.75
2.59
2.47
2.38
2.30
2.24
2.20
2.15
2.12
2.09
2.06
2.04
2.02
2.00
1.98
1.97
1.95
1.94
1.93
1.92
1.91
1.90
1.89
1.88
1.83
1.77
1.72
1.67
α = 0,10
ν1
9
10
59.86 60.19
9.38
9.39
5.24
5.23
3.94
3.92
3.32
3.30
2.96
2.94
2.72
2.70
2.56
2.54
2.44
2.42
2.35
2.32
2.27
2.25
2.21
2.19
2.16
2.14
2.12
2.10
2.09
2.06
2.06
2.03
2.03
2.00
2.00
1.98
1.98
1.96
1.96
1.94
1.95
1.92
1.93
1.90
1.92
1.89
1.91
1.88
1.89
1.87
1.88
1.86
1.87
1.85
1.87
1.84
1.86
1.83
1.85
1.82
1.79
1.76
1.74
1.71
1.68
1.65
1.63
1.60
12
60.71
9.41
5.22
3.90
3.27
2.90
2.67
2.50
2.38
2.28
2.21
2.15
2.10
2.05
2.02
1.99
1.96
1.93
1.91
1.89
1.87
1.86
1.84
1.83
1.82
1.81
1.80
1.79
1.78
1.77
1.71
1.66
1.60
1.55
15
61.22
9.42
5.20
3.87
3.24
2.87
2.63
2.46
2.34
2.24
2.17
2.10
2.05
2.01
1.97
1.94
1.91
1.89
1.86
1.84
1.83
1.81
1.80
1.78
1.77
1.76
1.75
1.74
1.73
1.72
1.66
1.60
1.55
1.49
20
61.74
9.44
5.18
3.84
3.21
2.84
2.59
2.42
2.30
2.20
2.12
2.06
2.01
1.96
1.92
1.89
1.86
1.84
1.81
1.79
1.78
1.76
1.74
1.73
1.72
1.71
1.70
1.69
1.68
1.67
1.61
1.54
1.48
1.42
24
62.00
9.45
5.18
3.83
3.19
2.82
2.58
2.40
2.28
2.18
2.10
2.04
1.98
1.94
1,90
1.87
1.84
1.81
1.79
1.77
1.75
1.73
1.72
1.70
1.69
1.68
1.67
1.66
1.65
1.64
1.57
1.51
1.45
1.38
30
62.26
9.46
5.17
3.82
3.17
2.80
2.56
2.38
2.25
2.16
2.08
2.01
1.96
1.91
1.87
1.84
1.81
1.78
1.76
1.74
1.72
1.70
1.69
1.67
1.66
1.65
1.64
1.63
1.62
1.61
1.54
1.48
1.41
1.34
40
62.53
9.47
5.16
3.80
3.16
2.78
2.54
2.36
2.23
2.13
2.05
1.99
1.93
1.89
1.85
1.81
1.78
1.75
1.73
1.71
1.69
1.67
1.66
1.64
1.63
1.61
1.60
1.59
1.58
1.57
1.51
1.44
1.37
1.30
60
62.79
9.47
5.15
3.79
3.14
2.76
2.51
2.34
2.21
2.11
2.03
1.96
1.90
1.86
1.82
1.78
1.75
1.72
1.70
1.68
1.66
1.64
1.62
1.61
1.59
1.58
1.57
1.56
1.55
1.54
1.47
1.40
1.32
1.24
120
63.06
9.48
5.14
3.78
3.12
2.74
2.49
2.32
2.18
2.08
2.00
1.93
1.88
1.83
1.79
1.75
1.72
1.69
1,67
1.64
1.62
1.60
1.59
1.57
1.56
1.54
1.53
1.52
1.51
1.50
1.42
1.35
1.26
1.17
∞
63.33
9.49
5.13
3.76
3.10
2.72
2.47
2.29
2.16
2.06
1.97
1.90
1.85
1.80
1.76
1.72
1.69
1.66
1.63
1.61
1.59
1.57
1.55
1.53
1.52
1.50
1.49
1.48
1.47
1.46
1.38
1.29
1.19
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
161.4
18.51
10.13
7.71
6.61
5.99
5.59
5.32
5.12
4.96
4.84
4.75
4.67
4.60
4.54
4.49
4.45
4.41
4.38
4.35
4.32
4.30
4.28
4.26
4.24
4.23
4.21
4.20
4.18
4.17
4.08
4.00
3.92
3.84
2
199.5
19.00
9.55
6.94
5.79
5.14
4.74
4.46
4.26
4.10
3.98
3.89
3.81
3.74
3.68
3.63
3.59
3.55
3.52
3.49
3.47
3.44
3.42
3.40
3.39
3.37
3.35
3.34
3.33
3.32
3.23
3.15
3.07
3.00
3
215.7
19.16
9.28
6.59
5.41
4.76
4.35
4.07
3.86
3.71
3.59
3.49
3.41
3.34
3.29
3.24
3.20
3.16
3.13
3.10
3.07
3.05
3.03
3.01
2.99
2.98
2.96
2.95
2.93
2.92
2.84
2.76
2.68
2.60
4
224.6
19.25
9.12
6.39
5.19
4.53
4.12
3.84
3.63
3.48
3.36
3.26
3.18
3.11
3.06
3.01
2.96
2.93
2.90
2.87
2.84
2.82
2.80
2.78
2.76
2.74
2.73
2.71
2.70
2.69
2.61
2.53
2.45
2.37
5
230.2
19.30
9.01
6.26
5.05
4.39
3.97
3.69
3.48
3.33
3.20
3.11
3.03
2.96
2.90
2.85
2.81
2.77
2.74
2.71
2.68
2.66
2.64
2.62
2.60
2.59
2.57
2.56
2.55
2.53
2.45
2.37
2.29
2.21
6
234.0
19.33
8.94
6.16
4.95
4.28
3.87
3.58
3.37
3.22
3.09
3.00
2.92
2.85
2.79
2.74
2.70
2.66
2.63
2.60
2.57
2.55
2.53
2.51
2.49
2.47
2.46
2.45
2.43
2.42
2.34
2.25
2.17
2.10
7
236.8
19.35
8.89
6.09
4.88
4.21
3.79
3.50
3.29
3.14
3.01
2.91
2.83
2.76
2.71
2.66
2.61
2.58
2.54
2.51
2.49
2.46
2.44
2.42
2.40
2.39
2.37
2.36
2.35
2.33
2.25
2.17
2.09
2.01
8
238.9
19.37
8.85
6.04
4.82
4.15
3.73
3.44
3.23
3.07
2.95
2.85
2.77
2.70
2.64
2.59
2.55
2.51
2.48
2.45
2.42
2.40
2.37
2.36
2.34
2.32
2.31
2.29
2.28
2.27
2.18
2.10
2.02
1.94
α = 0,05
ν1
9
10
240.5 241.9
19.38 19.40
8.81
8.79
6.00
5.96
4.77
4.74
4.10
4.06
3.68
3.64
3.39
3.35
3.18
3.14
3.02
2.98
2.90
2.85
2.80
2.75
2.71
2.67
2.65
2.60
2.59
2.54
2.54
2,49
2.49
2.45
2.46
2.41
2.42
2.38
2.39
2.35
2.37
2.32
2.34
2.30
2.32
2.27
2.30
2.25
2.28
2.24
2.27
2.22
2.25
2.20
2.24
2.19
2.22
2.18
2.21
2.16
2.12
2.08
2.04
1.99
1.96
1.91
1.88
1.83
12
243.9
19.41
8.74
5.91
4.68
4.00
3.57
3.28
3.07
2.91
2.79
2.69
2.60
2.53
2.48
2.42
2.38
2.34
2.31
2.28
2.25
2.23
2.20
2.18
2.16
2.15
2.13
2,12
2.10
2.09
2.00
1.92
1.83
1.75
15
245.9
19.43
8.70
5.86
4.62
3.94
3.51
3.22
3.01
2.85
2.72
2.62
2.53
2.46
2.40
2.35
2.31
2.27
2.23
2.20
2.18
2.15
2.13
2.11
2.09
2.07
2.06
2.04
2.03
2.01
1.92
1.84
1.75
1.67
20
248.0
19.45
8.66
5.80
4.56
3.87
3.44
3.15
2.94
2.77
2.65
2.54
2.46
2.39
2.33
2.28
2.23
2.19
2.16
2.12
2.10
2.07
2.05
2.03
2.01
1.99
1.97
1.96
1.94
1.93
1.84
1.75
1.66
1.57
24
249.1
19.45
8,64
5.77
4.53
3.84
3.41
3.12
2.90
2.74
2.61
2.51
2.42
2.35
2.29
2.24
2.19
2.15
2.11
2.08
2.05
2.03
2.01
1.98
1.96
1.95
1.93
1.91
1.90
1.89
1.79
1.70
1.61
1.52
30
250.1
19.46
8.62
5.75
4.50
3.81
3.38
3.08
2.86
2.70
2.57
2.47
2.38
2.31
2.25
2.19
2.15
2.11
2.07
2.04
2.01
1.98
1.96
1.94
1.92
1.90
1.88
1.87
1.85
1.84
1.74
1.65
1.55
1.46
40
251.1
19.47
8.59
5.72
4.46
3.77
3.34
3.04
2.83
2.66
2.53
2.43
2.34
2.27
2.20
2.15
2.10
2.06
2.03
1.99
1.96
1.94
1.91
1.89
1.87
1.85
1.84
1.82
1.81
1.79
1.69
1.59
1.50
1.39
60
252.2
19.48
8.57
5.69
4.43
3.74
3.30
3.01
2 79
2.62
2.49
2.38
2.30
1.22
2.16
2.11
2.06
2.02
1.98
1.95
1.92
1.89
1.86
1.84
1.82
1.80
1.79
1.77
1.75
1.74
1.64
1.53
1.43
1.32
120
253.3
19.49
8.55
5.66
4.40
3.70
3.27
2.97
2.75
2.58
2.45
2.34
2.25
2.18
2.11
2.06
2.01
1.97
1.93
1.90
1.87
1.84
1.81
1.79
1.77
1.75
1.73
1.71
1.70
1.68
1.58
1.47
1.35
1.22
∞
254.3
19.50
8.53
5.63
4.36
3.67
3.23
2.93
2.71
2.54
2.40
2.30
2.21
2.13
2.07
2.01
1.96
1.92
1.88
1.84
1.81
1.78
1.76
1.73
1.71
1.69
1.67
1.65
1.64
1.62
1.51
1.39
1.25
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
647.8
38.51
17.44
12.22
10.01
8.81
8.07
7.57
7.21
6.94
6.72
6.55
6.41
6.30
6.20
6.12
6.04
5.98
5.92
5.87
5.83
5.79
5.75
5.72
5.69
5.66
5.63
5.61
5.59
5.57
5.42
5.29
5.15
5.02
2
799.5
39.00
16.04
10.65
8.43
7.26
6.54
6.06
5.71
5.46
5.26
5.10
4.97
4.86
4.77
4.69
4.62
4.56
4.51
4.46
4.42
4.38
4.35
4.32
4.29
4.27
4.24
4.22
4.20
4.18
4.05
3.93
3.80
3.69
3
864.2
39.17
15.44
9.98
7.76
6.60
5.89
5.42
5.00
4.83
4.63
4.47
4.35
4.24
4.15
4.08
4.01
3.95
3.90
3.86
3.82
3.78
3.75
3.72
3.69
3.67
3.63
3.63
3.61
3.59
3.46
3.34
3.23
3.12
4
899.6
39.25
15.10
9.60
7.39
6.23
5.52
5.05
4.72
4.47
4.28
4.12
4.00
3.89
3.80
3.73
3.66
3.61
3.56
3.51
3.48
3.44
3.41
3.38
3.35
3.33
3.31
3.29
3.27
3.25
3.13
3.01
2.89
2.79
5
921.8
39.30
14.88
9.36
7.15
5.99
5.29
4.82
4.48
4.24
4.04
3.89
3.77
3.66
3.58
3.50
3.44
3.38
3.33
3.29
3.25
3.22
3.18
3.15
3.13
3.10
3.06
3.06
3.04
3.03
2.90
2.79
2.67
2.57
6
937.1
39.33
14.73
9.20
6.98
5.82
5.12
4.65
4.32
4.07
3.88
3.73
3.60
3.50
3.41
3.34
3.28
3.22
3.17
3.13
3.09
3.05
3.02
2.99
2.97
2.94
2.92
2.90
2.88
2.87
2.74
2.63
2.52
2.41
7
948.2
39.36
14.62
9.07
6.85
5.70
4.99
4.53
4.20
3.95
3.76
3.61
3.48
3.38
3.29
3.22
3.16
3.10
3.05
3.01
2.97
2.93
2.90
2.87
2.85
2.82
2.80
2.78
2.76
2.75
2.62
2.51
2.39
2.29
8
956.7
39.37
14.54
8.98
6.76
5.60
4.90
4.43
4.10
3.85
3.66
3.51
3.39
3.29
3.20
3.12
3.06
3.01
2.96
2.91
2.87
2.84
2.81
2.78
2.75
2.73
2.71
2.69
2.67
2.65
2.53
2.41
2.30
2.19
α = 0,025
ν1
9
10
963.3 968.6
39.39 39.40
14.47 14.42
8.90
8.84
6.68
6.62
5.52
5.46
4.82
4.76
4.36
4.30
4.03
3.96
3.78
3.72
3.59
3.53
3.44
3.37
3.31
3.25
3.21
3.15
3.12
3 06
3.05
2.99
2.98
2.92
2.93
2.87
2.88
2.82
2.84
2.77
2.80
2.73
2,76
2.70
2.73
2.67
2.70
2.64
2.68
2.61
2.65
2.59
2.63
2.57
2.61
2.55
2.59
2.53
2.57
2.51
2.45
2.39
2.33
2.27
2.22
2.16
2.11
2.05
12
976.7
39.41
14.34
8.75
6.52
5.37
4.67
4.20
3.87
3.62
3.43
3.28
3.15
3.05
2.96
2.89
2.82
2.77
2.72
2.68
2.64
2.60
2.57
2.54
2.51
2.49
2.47
2.45
2.43
2.41
2.29
2.17
2.05
1.94
15
984.9
39.43
14.25
8.66
6.43
5.27
4.57
4.10
3.77
3.52
3.33
3.18
3.05
2.95
2.86
2.79
2.72
2.67
2.62
2.57
2.53
2.50
2.47
2.44
2.41
2.39
2.36
2.34
2.32
2.31
2.18
2.06
1.94
1.83
20
993.1
39.45
14.17
8.56
6.33
5.17
4.47
4.00
3.67
3.42
3.23
3.07
2.95
2.84
2.76
2.68
2.62
2.56
2.51
2.46
2.42
2.39
2.36
2.33
2.30
2.28
2.25
2.23
2.21
2.20
2.07
1.94
1.82
1.71
24
997.2
39.46
14.12
8.51
6.28
5.12
4.42
3.95
3.61
3.37
3.17
3.02
2.89
2.79
2.70
2.63
2.56
2.50
2.45
2.41
2.37
2.33
2.30
2.27
2.24
2.22
2.19
2.17
2.15
2.14
2.01
1.88
1.76
1.64
30
1001
39.46
14.08
8.46
6.23
5.07
4.36
3.89
3.56
3.31
3.12
2.96
2.84
2.73
2.64
2.57
2.50
2.44
2.39
2.35
2.31
2.27
2.24
2.21
2.18
2.16
2.13
2.11
2.09
2.07
1.94
1.82
1.69
1.57
40
1006
39.47
14.04
8.41
6.18
5.01
4.31
3.84
3.51
3.26
3.06
2.91
2.78
2.67
2.59
2.51
2.44
2.38
2.33
2.29
2.25
2.21
2.18
2.15
2.12
2.09
2.07
2.05
2.03
2.01
1.88
1.74
1.61
1.48
60
1010
39.48
13.99
8.36
6.12
4.96
4.25
3.78
3.45
3.20
3.00
2.85
2.72
2.61
2.52
2.45
2.38
2.32
2.27
2.22
2.18
2.14
2.11
2.08
2.05
2.03
2.00
l.98
l.96
1.94
1.80
1.67
1.53
1.39
120
1014
39.49
13.95
8.31
6.07
4.90
4.20
3.73
3.39
3.14
2.94
2.79
2.66
2.55
2.46
2.38
2.32
2.26
2.20
2.16
2.11
2.08
2.04
2.01
1.98
1.95
1.93
1.91
1.89
1.87
1.72
1.58
1.43
1.27
∞
1018
39.50
13.90
8.26
6.02
4.85
4.14
3.67
3.33
3.08
2.88
2.72
2.60
2.49
2.40
2.32
2.25
2.19
2.13
2.09
2.04
2.00
1.97
1.94
1.91
1.88
1.85
1.83
1.81
1.79
1.64
1.48
1.31
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
4052
98.50
34.12
21.20
16.26
13.75
12.25
11.26
10.56
10.04
9.65
9.33
9.07
8.86
8.68
8.53
8.40
8.29
8.18
8.10
8.02
7.95
7.88
7.82
7.77
7.72
7.68
7.64
7.60
7.56
7.31
7.08
6.85
6.63
2
4999.50
99.00
30.82
18,00
13.27
10.92
9.55
8.65
8.02
7.56
7.21
6.93
6.70
6.51
6.36
6.23
6.11
6.01
5.93
5.85
5.78
5.72
5.66
5.61
5.57
5.53
5.49
5.45
5.42
5.39
5.18
4.98
4.79
4.61
3
5403
99.17
29.46
16.69
12.06
9.78
8.45
7.59
6.99
6.55
6.22
5.95
5.74
5.56
5.42
5.29
5.18
5.09
5.01
4.94
4.87
4.82
4.76
4.72
4.68
4.64
4.60
4.57
4.54
4.51
4.31
4.13
3.95
3.78
4
5625
99.25
28.71
15.98
11.39
9.15
7.85
7.01
6.42
5.99
5.67
5.41
5.21
5.04
4.89
4.77
4.67
4.58
4.50
4.43
4.37
4.31
4.26
4.22
4.18
4.14
4.11
4.07
4.04
4.02
3.83
3.65
3.48
3.32
5
5764
99.30
28.24
15.52
10.97
8.75
7.46
6.63
6.06
5.64
5.32
5.06
4.86
4.69
4.56
4.44
4.34
4.25
4.17
4.10
4.04
3.99
3.94
3.90
3.85
3.82
3.78
3.75
3.73
3.70
3.51
3.34
3.17
3.02
6
5859
99.33
27.91
15.21
10.67
8.47
7.19
6.37
5.80
5.39
5.07
4.82
4.62
4.46
4.32
4.20
4.10
4.01
3.94
3.87
3.81
3.76
3.71
3.67
3.63
3.59
3.56
3.53
3.50
3.47
3.29
3.12
2.96
2.80
7
5928
99.36
27.67
14.98
10.46
8.26
6.99
6.18
5.61
5.20
4.89
4.64
4.44
4.28
4.14
4.03
3.93
3.84
3.77
3.70
3.64
3.59
3.54
3.50
3.46
3.42
3.39
3.36
3.33
3.30
3.12
2.95
2.79
2.64
8
5982
99.37
27.49
14.80
10.29
8.10
6.84
6.03
5.47
5.06
4.74
4.50
4.30
4.14
4.00
3.89
3.79
3.71
3.63
3,56
3.51
3.45
3.41
3.36
3.32
3.29
3.26
3.23
3.20
3.17
2.99
2.82
2.66
2.51
α = 0,01
ν1
9
10
6022 6056
99.39 99.40
27.35 27.23
14.66 14.55
10.16 10.05
7.98
7.87
6.72
6.62
5.91
5.81
5.35
5.26
4.94
4.85
4.63
4.54
4.39
4.30
4.19
4.10
4.03
3.94
3.89
3.80
3.78
3.69
3.68
3.59
3.60
3.51
3.52
3.43
3.46
3.37
3.40
3.31
3.35
3.26
3.30
3,21
3.26
3.17
3.22
3.13
3.18
3.09
3.15
3.06
3.12
3.03
3.09
3.00
3.07
2.98
2.89
2.80
2.72
2.63
2.56
2.47
2.41
2.32
12
6106
99.42
27.05
14.37
9.89
7.72
6.47
5.67
5.11
4.71
4.40
4.16
3.96
3.80
3.67
3.55
3.46
3.37
3.30
3.23
3.17
3.12
3.07
3.03
2.99
2.96
2.93
2.90
2.87
2.84
2.66
2.50
2.34
2.18
15
6157
99.43
26.87
14.20
9.72
7.56
6.31
5.52
4.96
4.56
4.25
4.01
3.82
3.66
3.52
3.41
3.31
3.23
3.15
3.09
3.03
2.98
2.93
2.89
2.85
2,81
2.78
2.75
2.73
2.70
2.52
2.35
2.19
2.04
20
6209
99.45
26.69
14.02
9.55
7.40
6.16
5.36
4.81
4.41
4.10
3.86
3.66
3.51
3.37
3.26
3.16
3.08
3.00
2.94
2.88
2.83
2.78
2.74
2.70
2.66
2.63
2.60
2.57
2.55
2.37
2.20
2.03
1.88
24
6235
99.46
26.60
13.93
9.47
7.31
6.07
5.28
4.73
4.33
4.02
3.78
3.59
3.43
3.29
3.18
3.08
3.00
2.92
2.86
2.80
2.75
2.70
2.66
2.62
2.58
2.55
2.52
2.49
2.47
2.29
2.12
1.95
1.79
30
6261
99.47
26.50
13.84
9.38
7.23
5.99
5.20
4.65
4.25
3.94
3.70
3.51
3.35
3.21
3.10
3.00
2.92
2.84
2.78
2.72
2.67
2.62
2.58
2.54
2.50
2.47
2.44
2.41
2.39
2.20
2.03
1.86
1.70
40
6287
99.47
26.41
13.75
9.29
7.14
5.91
5.12
4.57
4.17
3.86
3.62
3.43
3.27
3.13
3.02
2.92
2.84
2.76
2.69
2.64
2.58
2.54
2.49
2.45
2.42
2.38
2.35
2.33
2.30
2.11
1.94
1.76
1.59
60
6313
99.48
26.32
13.65
9.20
7.06
5.82
5.03
4.48
4.08
3.78
3.54
3.34
3.18
3.05
2.93
2.83
2.75
2.67
2.61
2.55
2.50
2.45
2.40
2.36
2.33
2.29
2.26
2.23
2.21
2.02
1.84
1.66
1.47
120
6339
99.49
26.22
13.56
9.11
6.97
5.74
4.95
4.40
4.00
3.69
3.45
3.25
3.09
2.96
2.84
2.75
2.66
2.58
2.52
2.46
2.40
2.35
2.31
2.27
2.23
2.20
2.17
2.14
2.11
1.92
1.73
1.53
1.32
∞
6366
99.50
26.13
13.46
9.02
6.88
5.65
4.86
4.31
3.91
3.60
3.36
3.17
3.00
2.87
2.75
2.65
2.57
2.49
2.42
2.36
2.31
2.26
2.21
2.17
2.13
2.10
2.06
2.03
2.01
1.80
1.60
1.38
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
2
3
4
5
6
7
8
9
l0
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
40
60
120
∞
1
16211
198.5
55.55
31.33
22.78
18.64
16.24
14.69
13.61
12.83
12.23
11.75
11.37
11.06
10.80
10.58
10.38
10.22
10.07
9.94
9.83
9.73
9.63
9.55
9.48
9.41
9.34
9.28
9.23
9.18
8.83
8.49
8.18
7.88
2
20000
199.0
49.80
26.28
18.31
14.54
12.40
11.04
10.11
9.43
8.91
8.51
8.19
7.92
7.70
7.51
7.35
7.21
7.09
6.99
6.89
6.81
6.73
6.66
6.60
6.54
6.49
6.44
6.40
6.35
6.07
5.79
5.54
5.30
3
21615
199.2
47.46
24.25
16.53
12.92
10.88
9.60
8.72
8.08
7.60
7.23
6.93
6.68
6.48
6.30
6.16
6.06
5.92
5.82
5.73
5.65
5.58
5.52
5.46
5.41
5.36
5.32
5.28
5.24
4.94
4.73
4.50
4.28
4
22500
199.2
46.17
23.15
15.56
12.03
10.05
8.81
7.96
7.34
6.88
6.52
6.23
6.00
5.80
5.64
5.50
5.37
5.27
5.17
5.09
5.02
4.95
4.89
4.84
4.79
4.74
4.70
4.66
4.62
4.37
4.14
3.92
3.72
5
23056
199.3
45.42
22.46
14.94
11.46
9.52
8.30
7.47
6.87
6.42
6.07
5.79
5.56
5.37
5.21
5.07
4.96
4.85
4.76
4.68
4.61
4.54
4.49
4.43
4.38
4.34
4.30
4.26
4.23
3.99
3.76
3.55
3.35
6
23437
199.3
44.85
21.98
14.51
11.07
9.16
7.95
7.13
6.54
6.10
5.76
5.48
5.26
5.07
4.91
4.78
4.66
4.56
4.47
4.39
4.32
4.26
4.20
4.15
4.10
4.06
4.02
3.98
3.95
3.71
3.49
3.28
3.09
7
23715
199.4
44.40
21.62
14.20
10.79
8.89
7.69
6.89
6.30
5.86
5.52
5.25
5.03
4.85
4.69
4.56
4.44
4.34
4.26
4.18
4.11
4.05
3.99
3.94
3.89
3.85
3.81
3.77
3.74
3.51
3.29
3.09
2.90
8
23925
199.4
44.11
21.35
13.96
10.57
6.68
7.50
6.69
6.12
5.68
5.34
5.08
4.86
4.67
4.52
4.39
4.28
4.18
4.09
4.01
3.94
3.88
3.83
3.78
3.73
3.69
3.65
3.61
3.58
3.35
3.13
2.93
2.74
α = 0,005
ν1
9
10
24091 24224
199.4 199.4
43.84 43.73
21.14 20.97
13.77 13.62
10.39 10.25
8.51
8.38
7.34
7.21
6.54
6.42
5.97
5.85
5.54
5.42
5.20
5.09
4.94
4.82
4.72
4.60
4.54
4.42
4.38
4.27
4.25
4.14
4.14
4.03
4.04
3.93
3.96
3.85
3.88
3.77
3.81
3.70
3.75
3.64
3.69
3.59
3.64
3.54
3.60
3.49
3.56
3.45
3.52
3.41
3.48
3.38
3.45
3.34
3.22
3.12
3.01
2.90
2.81
2.71
2.62
2.52
12
24426
199.4
43.38
20.70
13.39
10.03
8.18
7.02
6.23
5.66
5.24
4.91
4.64
4.43
4.25
4.10
3.97
3.86
3.76
3.68
3.60
3.53
3.47
3.42
3.37
3.33
3.28
3.25
3.21
3.18
2.95
2.74
2.54
2.36
15
24630
199.4
43.13
20.43
13.15
9.81
7.97
6.82
6.03
5.47
5.05
4.72
4.46
4.25
4.07
3.92
3.79
3.68
3.59
3.50
3.43
3.36
3.30
3.25
3.20
3.15
3.11
3.07
3.04
3.01
2.78
2.57
2.37
2.19
20
24836
199.5
42.87
20.17
12.90
9.59
7.75
6.61
5.83
5.27
4.86
4.53
4.27
4.06
3.88
3.73
3.61
3.50
3.40
3.32
3.24
3.18
3.12
3.06
3.01
2.97
2.93
2.89
2.86
2.82
2.60
2.39
2.19
2.00
24
24940
199.5
42.65
20.04
12.78
9.48
7.64
6.50
5.73
5.17
4.76
4.43
4.17
3.96
3.79
3.64
3.51
3.40
3.31
3.22
3.15
3.08
3.02
2.97
2.92
2.87
2.83
2.79
2.76
2.73
2.50
2.29
2.09
1.90
30
25044
199.5
42.47
19.89
12.66
9.36
7.53
6.40
5.62
5.07
4.65
4.33
4.07
3.86
3.69
3.54
3.41
3.30
3.21
3.12
3.05
2.98
2.92
2.87
2.82
2.77
2.73
2.69
2.66
2.63
2.40
2.19
1.98
1.79
40
25148
199.5
42.31
19.75
12.53
9.24
7.42
6.29
5.52
4.97
4.55
4.23
3.97
3.76
3.58
3.44
3.31
3.20
3.11
3.02
2.95
2.88
2.82
2.77
2.72
2.67
2.63
2.59
2.56
2.52
2.30
2.08
1.87
1.67
60
25253
199.5
42.15
19.61
12.40
9.12
7.31
6.18
5.41
4.86
4.45
4.12
3.87
3.86
3.48
3.33
3.21
3.10
3.00
2.92
2.84
2.77
2.71
2.66
2.61
2.56
2.52
2.48
2.45
2.42
2.18
1.96
1.75
1.53
120
25359
19.49
41.99
19.47
12.27
9.00
7.19
6.06
5.30
4.75
4.34
4.02
3.76
3.55
3.37
3.22
3.10
2.99
2.89
2.81
2.73
2.66
2.60
2.55
2.50
2.45
2.41
2.37
2.33
2.30
2.06
1.83
1.61
1.36
∞
25465
19.50
41.83
19.32
12.14
8.88
7.08
5.95
5.19
4.64
4.23
3.90
3.65
3.44
3.26
3.11
2.98
2.87
2.78
2.69
2.61
2.55
2.48
2.43
2.38
2.33
2.29
2.25
2.21
2.18
1.93
1.69
1.43
1.00
Tabla VI. Valores críticos de la distribución F de Snedecor:
Abcisas Fα;ν 1 ,ν 2 que dejan a su derecha un área α bajo la F con ν 1 y ν 2 grados de libertad.
ν2
1
1
4053*
998.5
2
167.0
3
74.14
4
47.18
5
35.51
6
29.25
7
25.42
8
22.86
9
21.04
l0
19.69
11
18.64
12
17.81
13
17.14
14
16.59
15
16.12
16
15.72
17
15.38
18
15.08
19
14.82
20
14.59
21
14.38
22
14.19
23
14.03
24
13.88
25
13.74
26
13.61
27
13.50
28
13.39
29
13.29
30
12.61
40
11.97
60
120 11.38
10.83
∞
* Multiplicar
2
3
5000* 5404*
999.0 999.2
148.5 141.1
61.25 56.18
37.12 33.20
27.00 23.70
21.69 18.77
18.49 15.83
16.39 13.90
14.91 12.55
13.81 11.56
12.97 10.80
12.31 10.21
11.78
9.73
11.34
9.34
10.97
9.00
10.66
8.73
10.39
8.49
10.16
8.28
9.95
8.10
9.77
7,94
9.61
7.80
9.47
7.67
9.34
7.55
9.22
7.45
9.12
7.36
9.02
7.27
8.93
7.19
8.85
7.12
8.77
7,05
8.25
6.60
7.76
6.17
7.32
5.79
6.91
5.42
estas celdas por
4
5625*
999.2
137.1
53.44
31.09
21.92
17.19
14.39
12.56
11.28
10.35
9.63
9.07
8.62
8.25
7.94
7.68
7.46
7.26
7.10
6.95
6.81
6.69
6.59
6.49
6.41
6.33
6.25
6.19
6.12
5.70
5.31
4.95
4.621
100
5
5764*
999.3
134.6
51.71
29.75
20.81
16.21
13.49
11.71
10.48
9.58
8.89
8.35
7.92
7.57
7.27
7.02
6.81
6.62
6.46
6.32
6.19
6.08
5.98
5.88
5.80
5.73
5.66
5.59
5.53
5.13
4.76
4.42
4.10
6
5859*
999.3
132.8
50.53
28.84
20.03
15.52
12.86
11.13
9.92
9.05
8.38
7.86
7.43
7.09
6.81
6.56
6.35
6.18
6.02
5.88
5.76
5.65
5.55
5.46
5.38
5.31
5.24
5.18
5.12
4.73
4.37
4.04
3.74
7
5929*
999.4
131.6
49.66
28.16
19.46
15.02
12.40
10.70
9.52
8.66
8.00
7.49
7.08
6.74
6.46
6.22
6.02
5.85
5.69
5.56
5.44
5.33
5.23
5.15
5.07
5.00
4.93
4.87
4.82
4.44
4.09
3.77
3.47
8
5981*
999.4
130.6
49.00
27.64
19.03
14.63
12.04
10.37
9.20
8.35
7.71
7.21
6.80
6.47
6.19
5.96
5.76
5.59
5.44
5.31
5.19
5.09
4.99
4.91
4.83
4.76
4.69
4.64
4.58
4.21
3.87
3.55
3.27
α = 0,001
ν1
9
10
6023* 6056*
999.4 999.4
129.9 129.2
48.47 48.05
27.24 26.92
18.69 18.41
14.33 14.08
11.77 11.54
10.11
9.89
8.96
8.75
8.12
7.92
7.48
7.29
6.98
6.80
6.58
6.40
6.26
6.08
5.98
5.81
5.75
5.58
5.56
5.39
5.39
5.22
5.24
5.08
5.11
4.95
4.99
4.83
4.89
4.73
4.80
4.64
4.71
4.56
4.64
4.48
4.57
4.41
4.50
4.35
4.45
4.29
4.39
4.24
4.02
3.87
3.69
3.54
3.38
3.24
3.10
2.96
12
6107*
999.4
128.3
47.41
26.42
17.99
13.71
11.19
9.57
8.45
7.63
7.00
6.52
6.13
5.81
5.55
5.32
5.13
4.97
4.82
4.70
4.58
4.48
4.39
4.31
4.24
4.17
4.11
4.05
4.00
3.64
3.31
3.02
2.74
15
6158*
999.4
127.4
46.76
25.91
17.56
13.32
10.84
9.24
8.13
7.32
6.71
6.23
5.85
5.54
5.27
5.05
4.87
4.70
4.56
4.44
4.33
4.23
4.14
4.06
3.99
3.92
3.86
3.80
3.75
3.40
3,08
2.78
2.51
20
6209*
999.4
126.4
46.10
25.39
17.12
12.93
10.48
8.90
7.80
7.01
6.40
5.93
5.56
5.25
4.99
4.78
4.59
4.43
4.29
4.17
4.06
3.96
3.87
3.79
3.72
3.66
3.60
3.54
3.49
3.15
2.83
2.53
2.27
24
6235*
999.5
125.9
45.77
25.14
16.89
12.73
10.30
8.72
7.64
6.85
6.25
5.78
5.41
5.10
4.85
4.63
4.45
4.29
4.15
4.03
3.92
3.82
3.74
3.66
3.59
3.52
3.46
3.41
3.36
3.01
2.69
2.40
2.13
30
6261*
999.5
125.4
45.43
24.87
16.67
12.53
10.11
8.55
7.47
6.68
6.09
5.63
5.25
4.95
4.70
4.48
4.30
4.14
4.00
3.88
3.78
3.68
3.59
3.52
3.44
3.38
3.32
3.27
3.22
2.87
2.55
2.26
1.99
40
6287*
999.5
125.0
45.09
24.60
16.44
12.33
9.92
8.37
7.30
6.52
5.93
5.47
5.10
4.80
4.54
4.33
4.15
3.99
3.86
3.74
3.63
3.53
3.45
3.37
3.30
3.23
3.18
3.12
3.07
2.73
2.41
2.11
1.84
60
6313*
999.5
124.5
44.75
24.33
16.21
12.12
9.73
8.19
7.12
6.35
5.76
5.30
4.94
4.64
4.39
4.18
4.00
3.84
3.70
3.58
3.48
3.38
3.29
3.22
3.15
3.08
3.02
2.97
2.92
2.57
2.25
1.95
1.66
120
6340*
999.5
124.0
44.40
24.06
15.99
11.91
9.53
8.00
6.94
6.17
5.59
5.14
4.77
4.47
4.23
4.02
3.84
3.68
3.54
3.42
3.32
3.22
3.14
3.06
2.99
2.92
2.86
2,81
2.76
2.41
2.08
1.76
1.45
∞
6366*
999.5
123.5
44.05
23.79
15.75
11.70
9.33
7.81
6.76
6.00
5.42
4.97
4.60
4.31
4.06
3.85
3.67
3.51
3.38
3.26
3.15
3.05
2.97
2.89
2.82
2.75
2.69
2.64
2.59
2.23
1.89
1.54
1.00