Ji_cuadrada
Páginas: 6 (1356 palabras)
Publicado: 20 de octubre de 2015
1 - α = P ( X ≤ xα,ν )
Tabla 2. Valores de X de la distribución Ji-cuadra
ν
1-α
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
35
40
45
50
55
60
65
70
75
80
85
90
95
100
0.001
0.002
0.0025
0.005
0.000
0.000
0.000
0.000
0.002
0.004
0.005
0.010
0.024
0.039
0.045
0.072
0.091
0.129
0.145
0.207
0.210
0.280
0.307
0.412
0.381
0.486
0.527
0.676
0.599
0.741
0.7940.989
0.857
1.038
1.104
1.344
1.152
1.370
1.450
1.735
1.479
1.734
1.827
2.156
1.834
2.126
2.232
2.603
2.214
2.543
2.661
3.074
2.617
2.982
3.112
3.565
3.041
3.440
3.582
4.075
3.483
3.916
4.070
4.601
3.942
4.408
4.573
5.142
4.416
4.915
5.092
5.697
4.905
5.436
5.623
6.265
5.407
5.970
6.167
6.844
5.921
6.514
6.723
7.434
6.447
7.070
7.289
8.034
6.983
7.636
7.865
8.643
7.529
8.211
8.450
9.260
8.0858.796
9.044
9.886
8.649
9.388
9.646
10.520
9.222
9.989
10.256
11.160
9.803
10.597
10.873
11.808
10.391
11.212
11.497
12.461
10.986
11.833
12.128
13.121
11.588
12.461
12.765
13.787
14.688
15.686
16.032
17.192
17.917
19.032
19.417
20.707
21.251
22.477
22.899
24.311
24.674
26.006
26.464
27.991
28.173
29.605
30.097
31.735
31.738
33.267
33.791
35.534
35.362
36.983
37.538
39.383
39.036
40.747
41.332
43.27542.757
44.554
45.169
47.206
46.520
48.400
49.043
51.172
50.320
52.282
52.952
55.170
54.156
56.196
56.892
59.196
58.022
60.140
60.861
63.250
61.918
64.110
64.857
67.328
Elaborada por Irene Patricia Valdez y Alfaro.
0.01
0.02
0.025
0.05
0.1
0.2
0.25
0.3
0.4
0.5
0.000
0.020
0.115
0.297
0.554
0.872
1.239
1.647
2.088
2.558
3.053
3.571
4.107
4.660
5.229
5.812
6.408
7.015
7.633
8.260
8.8979.542
10.196
10.856
11.524
12.198
12.878
13.565
14.256
14.953
18.509
22.164
25.901
29.707
33.571
37.485
41.444
45.442
49.475
53.540
57.634
61.754
65.898
70.065
0.001
0.040
0.185
0.429
0.752
1.134
1.564
2.032
2.532
3.059
3.609
4.178
4.765
5.368
5.985
6.614
7.255
7.906
8.567
9.237
9.915
10.600
11.293
11.992
12.697
13.409
14.125
14.847
15.574
16.306
20.027
23.838
27.720
31.664
35.659
39.699
43.77947.893
52.039
56.213
60.412
64.635
68.879
73.142
0.001
0.051
0.216
0.484
0.831
1.237
1.690
2.180
2.700
3.247
3.816
4.404
5.009
5.629
6.262
6.908
7.564
8.231
8.907
9.591
10.283
10.982
11.689
12.401
13.120
13.844
14.573
15.308
16.047
16.791
20.569
24.433
28.366
32.357
36.398
40.482
44.603
48.758
52.942
57.153
61.389
65.647
69.925
74.222
0.004
0.103
0.352
0.711
1.145
1.635
2.167
2.733
3.325
3.940
4.5755.226
5.892
6.571
7.261
7.962
8.672
9.390
10.117
10.851
11.591
12.338
13.091
13.848
14.611
15.379
16.151
16.928
17.708
18.493
22.465
26.509
30.612
34.764
38.958
43.188
47.450
51.739
56.054
60.391
64.749
69.126
73.520
77.929
0.016
0.211
0.584
1.064
1.610
2.204
2.833
3.490
4.168
4.865
5.578
6.304
7.041
7.790
8.547
9.312
10.085
10.865
11.651
12.443
13.240
14.041
14.848
15.659
16.473
17.292
18.11418.939
19.768
20.599
24.797
29.051
33.350
37.689
42.060
46.459
50.883
55.329
59.795
64.278
68.777
73.291
77.818
82.358
0.064
0.446
1.005
1.649
2.343
3.070
3.822
4.594
5.380
6.179
6.989
7.807
8.634
9.467
10.307
11.152
12.002
12.857
13.716
14.578
15.445
16.314
17.187
18.062
18.940
19.820
20.703
21.588
22.475
23.364
27.836
32.345
36.884
41.449
46.036
50.641
55.262
59.898
64.547
69.207
73.878
78.55883.248
87.945
0.102
0.575
1.213
1.923
2.675
3.455
4.255
5.071
5.899
6.737
7.584
8.438
9.299
10.165
11.037
11.912
12.792
13.675
14.562
15.452
16.344
17.240
18.137
19.037
19.939
20.843
21.749
22.657
23.567
24.478
29.054
33.660
38.291
42.942
47.610
52.294
56.990
61.698
66.417
71.145
75.881
80.625
85.376
90.133
0.148
0.713
1.424
2.195
3.000
3.828
4.671
5.527
6.393
7.267
8.148
9.034
9.926
10.82111.721
12.624
13.531
14.440
15.352
16.266
17.182
18.101
19.021
19.943
20.867
21.792
22.719
23.647
24.577
25.508
30.178
34.872
39.585
44.313
49.055
53.809
58.573
63.346
68.127
72.915
77.710
82.511
87.317
92.129
0.275
1.022
1.869
2.753
3.656
4.570
5.493
6.423
7.357
8.295
9.237
10.182
11.129
12.078
13.030
13.983
14.937
15.893
16.850
17.809
18.768
19.729
20.690
21.652
22.616
23.579
24.544
25.509
26.475...
Tabla 2. Valores de X de la distribución Ji-cuadra
ν
1-α
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
35
40
45
50
55
60
65
70
75
80
85
90
95
100
0.001
0.002
0.0025
0.005
0.000
0.000
0.000
0.000
0.002
0.004
0.005
0.010
0.024
0.039
0.045
0.072
0.091
0.129
0.145
0.207
0.210
0.280
0.307
0.412
0.381
0.486
0.527
0.676
0.599
0.741
0.7940.989
0.857
1.038
1.104
1.344
1.152
1.370
1.450
1.735
1.479
1.734
1.827
2.156
1.834
2.126
2.232
2.603
2.214
2.543
2.661
3.074
2.617
2.982
3.112
3.565
3.041
3.440
3.582
4.075
3.483
3.916
4.070
4.601
3.942
4.408
4.573
5.142
4.416
4.915
5.092
5.697
4.905
5.436
5.623
6.265
5.407
5.970
6.167
6.844
5.921
6.514
6.723
7.434
6.447
7.070
7.289
8.034
6.983
7.636
7.865
8.643
7.529
8.211
8.450
9.260
8.0858.796
9.044
9.886
8.649
9.388
9.646
10.520
9.222
9.989
10.256
11.160
9.803
10.597
10.873
11.808
10.391
11.212
11.497
12.461
10.986
11.833
12.128
13.121
11.588
12.461
12.765
13.787
14.688
15.686
16.032
17.192
17.917
19.032
19.417
20.707
21.251
22.477
22.899
24.311
24.674
26.006
26.464
27.991
28.173
29.605
30.097
31.735
31.738
33.267
33.791
35.534
35.362
36.983
37.538
39.383
39.036
40.747
41.332
43.27542.757
44.554
45.169
47.206
46.520
48.400
49.043
51.172
50.320
52.282
52.952
55.170
54.156
56.196
56.892
59.196
58.022
60.140
60.861
63.250
61.918
64.110
64.857
67.328
Elaborada por Irene Patricia Valdez y Alfaro.
0.01
0.02
0.025
0.05
0.1
0.2
0.25
0.3
0.4
0.5
0.000
0.020
0.115
0.297
0.554
0.872
1.239
1.647
2.088
2.558
3.053
3.571
4.107
4.660
5.229
5.812
6.408
7.015
7.633
8.260
8.8979.542
10.196
10.856
11.524
12.198
12.878
13.565
14.256
14.953
18.509
22.164
25.901
29.707
33.571
37.485
41.444
45.442
49.475
53.540
57.634
61.754
65.898
70.065
0.001
0.040
0.185
0.429
0.752
1.134
1.564
2.032
2.532
3.059
3.609
4.178
4.765
5.368
5.985
6.614
7.255
7.906
8.567
9.237
9.915
10.600
11.293
11.992
12.697
13.409
14.125
14.847
15.574
16.306
20.027
23.838
27.720
31.664
35.659
39.699
43.77947.893
52.039
56.213
60.412
64.635
68.879
73.142
0.001
0.051
0.216
0.484
0.831
1.237
1.690
2.180
2.700
3.247
3.816
4.404
5.009
5.629
6.262
6.908
7.564
8.231
8.907
9.591
10.283
10.982
11.689
12.401
13.120
13.844
14.573
15.308
16.047
16.791
20.569
24.433
28.366
32.357
36.398
40.482
44.603
48.758
52.942
57.153
61.389
65.647
69.925
74.222
0.004
0.103
0.352
0.711
1.145
1.635
2.167
2.733
3.325
3.940
4.5755.226
5.892
6.571
7.261
7.962
8.672
9.390
10.117
10.851
11.591
12.338
13.091
13.848
14.611
15.379
16.151
16.928
17.708
18.493
22.465
26.509
30.612
34.764
38.958
43.188
47.450
51.739
56.054
60.391
64.749
69.126
73.520
77.929
0.016
0.211
0.584
1.064
1.610
2.204
2.833
3.490
4.168
4.865
5.578
6.304
7.041
7.790
8.547
9.312
10.085
10.865
11.651
12.443
13.240
14.041
14.848
15.659
16.473
17.292
18.11418.939
19.768
20.599
24.797
29.051
33.350
37.689
42.060
46.459
50.883
55.329
59.795
64.278
68.777
73.291
77.818
82.358
0.064
0.446
1.005
1.649
2.343
3.070
3.822
4.594
5.380
6.179
6.989
7.807
8.634
9.467
10.307
11.152
12.002
12.857
13.716
14.578
15.445
16.314
17.187
18.062
18.940
19.820
20.703
21.588
22.475
23.364
27.836
32.345
36.884
41.449
46.036
50.641
55.262
59.898
64.547
69.207
73.878
78.55883.248
87.945
0.102
0.575
1.213
1.923
2.675
3.455
4.255
5.071
5.899
6.737
7.584
8.438
9.299
10.165
11.037
11.912
12.792
13.675
14.562
15.452
16.344
17.240
18.137
19.037
19.939
20.843
21.749
22.657
23.567
24.478
29.054
33.660
38.291
42.942
47.610
52.294
56.990
61.698
66.417
71.145
75.881
80.625
85.376
90.133
0.148
0.713
1.424
2.195
3.000
3.828
4.671
5.527
6.393
7.267
8.148
9.034
9.926
10.82111.721
12.624
13.531
14.440
15.352
16.266
17.182
18.101
19.021
19.943
20.867
21.792
22.719
23.647
24.577
25.508
30.178
34.872
39.585
44.313
49.055
53.809
58.573
63.346
68.127
72.915
77.710
82.511
87.317
92.129
0.275
1.022
1.869
2.753
3.656
4.570
5.493
6.423
7.357
8.295
9.237
10.182
11.129
12.078
13.030
13.983
14.937
15.893
16.850
17.809
18.768
19.729
20.690
21.652
22.616
23.579
24.544
25.509
26.475...
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