Tablas y Fórmulas Estadísticas 12 TABLA 7. DISTRIBUCION F

Tablas y Fórmulas Estadísticas 12
TABLA 7.
DISTRIBUCION F
Grados de libertad del denominador
0.05
Grados de libertad del numerador
4
5
6
7
224.58 230.16 233.99 236.77
19.247 19.296 19.330 19.353
9.1172 9.0135 8.9406 8.8867
6.3882 6.2561 6.1631 6.0942
5.1922 5.0503 4.9503 4.8759
1
2
3
4
5
1
161.45
18.513
10.128
7.7086
6.6079
2
199.50
19.000
9.5521
6.9443
5.7861
3
215.71
19.164
9.2766
6.5914
5.4095
6
7
8
9
10
5.9874
5.5914
5.3177
5.1174
4.9646
5.1433
4.7374
4.4590
4.2565
4.1028
4.7571
4.3468
4.0662
3.8625
3.7083
4.5337
4.1203
3.8379
3.6331
3.4780
4.3874
3.9715
3.6875
3.4817
3.3258
4.2839
3.8660
3.5806
3.3738
3.2172
11
12
13
14
15
4.8443
4.7472
4.6672
4.6001
4.5431
3.9823
3.8853
3.8056
3.7389
3.6823
3.5874
3.4903
3.4105
3.3439
3.2874
3.3567
3.2592
3.1791
3.1122
3.0556
3.2039
3.1059
3.0254
2.9582
2.9013
16
17
18
19
20
4.4940
4.4513
4.4139
4.3807
4.3512
3.6337
3.5915
3.5546
3.5219
3.4928
3.2389
3.1968
3.1599
3.1274
3.0984
3.0069
2.9647
2.9277
2.8951
2.8661
21
22
23
24
25
4.3248
4.3009
4.2793
4.2597
4.2417
3.4668
3.4434
3.4221
3.4028
3.3852
3.0725
3.0491
3.0280
3.0088
2.9912
26
27
28
29
30
4.2252
4.2100
4.1960
4.1830
4.1709
3.3690
3.3541
3.3404
3.3277
3.3158
40
50
60
4.0847
4.0343
4.0012
3.9201
3.2317
3.1826
3.1504
3.0718
120
∞
8
238.88
19.371
8.8452
6.0410
4.8183
9
240.54
19.385
8.8123
5.9988
4.7725
10
241.88
19.396
8.7855
5.9644
4.7351
12
243.91
19.413
8.7446
5.9117
4.6777
4.2067
3.7870
3.5005
3.2927
3.1355
4.1468
3.7257
3.4381
3.2296
3.0717
4.0990
3.6767
3.3881
3.1789
3.0204
4.0600
3.6365
3.3472
3.1373
2.9782
3.9999
3.5747
3.2839
3.0729
2.9130
3.0946
2.9961
2.9153
2.8477
2.7905
3.0123
2.9134
2.8321
2.7642
2.7066
2.9480
2.8486
2.7669
2.6987
2.6408
2.8962
2.7964
2.7144
2.6458
2.5876
2.8536
2.7534
2.6710
2.6022
2.5437
2.7876
2.6866
2.6037
2.5342
2.4753
2.8524
2.8100
2.7729
2.7401
2.7109
2.7413
2.6987
2.6613
2.6283
2.5990
2.6572
2.6143
2.5767
2.5435
2.5140
2.5911
2.5480
2.5102
2.4768
2.4471
2.5377
2.4943
2.4563
2.4227
2.3928
2.4935
2.4499
2.4117
2.3779
2.3479
2.4247
2.3807
2.3421
2.3080
2.2776
2.8401
2.8167
2.7955
2.7763
2.7587
2.6848
2.6613
2.6400
2.6207
2.6030
2.5727
2.5491
2.5277
2.5082
2.4904
2.4876
2.4638
2.4422
2.4226
2.4047
2.4205
2.3965
2.3748
2.3551
2.3371
2.3660
2.3419
2.3201
2.3002
2.2821
2.3210
2.2967
2.2747
2.2547
2.2365
2.2504
2.2258
2.2036
2.1834
2.1649
2.9752
2.9604
2.9467
2.9340
2.9223
2.7426
2.7278
2.7141
2.7014
2.6896
2.5868
2.5719
2.5581
2.5454
2.5336
2.4741
2.4591
2.4453
2.4324
2.4205
2.3883
2.3732
2.3593
2.3463
2.3343
2.3205
2.3053
2.2913
2.2783
2.2662
2.2655
2.2501
2.2360
2.2229
2.2107
2.2197
2.2043
2.1900
2.1768
2.1646
2.1479
2.1323
2.1179
2.1045
2.0921
2.8387
2.7900
2.7581
2.6802
2.6060
2.5572
2.5252
2.4472
2.4495
2.4004
2.3683
2.2899
2.3359
2.2864
2.2541
2.1750
2.2490
2.1992
2.1665
2.0868
2.1802
2.1299
2.0970
2.0164
2.1240
2.0734
2.0401
1.9588
2.0772
2.0261
1.9926
1.9105
2.0035
1.9515
1.9174
1.8337
3.8841 3.0369 2.6456 2.4127 2.2551 2.1400 2.0514 1.9807 1.9226 1.8739 1.7964
Tablas y Fórmulas Estadísticas 13
Grados de libertad del denominador
0.01
1
2
3
4
5
1
4052.2
98.503
34.116
21.198
16.258
2
4999.5
99.000
30.817
18.000
13.274
3
5403.4
99.166
29.457
16.694
12.060
Grados de libertad del numerador
4
5
6
7
5624.6 5763.6 5859.0 5928.4
99.249 99.299 99.333 99.356
28.710 28.237 27.911 27.672
15.977 15.522 15.207 14.976
11.392 10.967 10.672 10.456
8
5981.1
99.374
27.489
14.799
10.289
9
6022.5
99.388
27.345
14.659
10.158
10
6055.8
99.399
27.229
14.546
10.051
12
6106.3
99.416
27.052
14.374
9.8883
6
7
8
9
10
13.745
12.246
11.259
10.561
10.044
10.925
9.5466
8.6491
8.0215
7.5594
9.7795
8.4513
7.5910
6.9919
6.5523
9.1483
7.8466
7.0061
6.4221
5.9943
8.7459
7.4604
6.6318
6.0569
5.6363
8.4661
7.1914
6.3707
5.8018
5.3858
8.2600
6.9928
6.1776
5.6129
5.2001
8.1017
6.8400
6.0289
5.4671
5.0567
7.9761
6.7188
5.9106
5.3511
4.9424
7.8741
6.6201
5.8143
5.2565
4.8491
7.7183
6.4691
5.6667
5.1114
4.7059
11
12
13
14
15
9.6460
9.3302
9.0738
8.8616
8.6831
7.2057
6.9266
6.7010
6.5149
6.3589
6.2167
5.9525
5.7394
5.5639
5.4170
5.6683
5.4120
5.2053
5.0354
4.8932
5.3160
5.0643
4.8616
4.6950
4.5556
5.0692
4.8206
4.6204
4.4558
4.3183
4.8861
4.6395
4.4410
4.2779
4.1415
4.7445
4.4994
4.3021
4.1399
4.0045
4.6315
4.3875
4.1911
4.0297
3.8948
4.5393
4.2961
4.1003
3.9394
3.8049
4.3974
4.1553
3.9603
3.8001
3.6662
16
17
18
19
20
8.5310
8.3997
8.2854
8.1849
8.0960
6.2262
6.1121
6.0129
5.9259
5.8489
5.2922
5.1850
5.0919
5.0103
4.9382
4.7726
4.6690
4.5790
4.5003
4.4307
4.4374
4.3359
4.2479
4.1708
4.1027
4.2016
4.1015
4.0146
3.9386
3.8714
4.0259
3.9267
3.8406
3.7653
3.6987
3.8896
3.7910
3.7054
3.6305
3.5644
3.7804
3.6822
3.5971
3.5225
3.4567
3.6909
3.5931
3.5082
3.4338
3.3682
3.5527
3.4552
3.3706
3.2965
3.2311
21
22
23
24
25
8.0166
7.9454
7.8811
7.8229
7.7698
5.7804
5.7190
5.6637
5.6136
5.5680
4.8740
4.8166
4.7649
4.7181
4.6755
4.3688
4.3134
4.2636
4.2184
4.1774
4.0421
3.9880
3.9392
3.8951
3.8550
3.8117
3.7583
3.7102
3.6667
3.6272
3.6396
3.5867
3.5390
3.4959
3.4568
3.5056
3.4530
3.4057
3.3629
3.3239
3.3981
3.3458
3.2986
3.2560
3.2172
3.3098
3.2576
3.2106
3.1681
3.1294
3.1730
3.1209
3.0740
3.0316
2.9931
26
27
28
29
30
7.7213
7.6767
7.6356
7.5977
7.5625
5.5263
5.4881
5.4529
5.4204
5.3903
4.6366
4.6009
4.5681
4.5378
4.5097
4.1400
4.1056
4.0740
4.0449
4.0179
3.8183
3.7848
3.7539
3.7254
3.6990
3.5911
3.5580
3.5276
3.4995
3.4735
3.4210
3.3882
3.3581
3.3303
3.3045
3.2884
3.2558
3.2259
3.1982
3.1726
3.1818
3.1494
3.1195
3.0920
3.0665
3.0941
3.0618
3.0320
3.0045
2.9791
2.9578
2.9256
2.8959
2.8685
2.8431
40
50
60
120
7.3141
7.1706
7.0771
6.8509
5.1785
5.0566
4.9774
4.7865
4.3126
4.1993
4.1259
3.9491
3.8283
3.7195
3.6490
3.4795
3.5138
3.4077
3.3389
3.1735
3.2910
3.1864
3.1187
2.9559
3.1238
3.0202
2.9530
2.7918
2.9930
2.8900
2.8233
2.6629
2.8876
2.7850
2.7185
2.5586
2.8005
2.6981
2.6318
2.4721
2.6648
2.5625
2.4961
2.3363
∞
6.7515 4.7029 3.8719 3.4055 3.1014 2.8848 2.7214 2.5929 2.4888 2.4023 2.2664