在本文中,您将找到卡方分布表以及正确使用该表的说明。
卡方分布表值
下面您可以看到卡方分布概率表最常用的值。行表示卡方分布的自由度,而列表示找到大于或等于表格卡方值(右尾)的值的概率。
GL
0.001
0.005
0.01
0.025
0.05
0.10
0.25
0.50
0.75
0.90
0.95
0.975
0.99
0.995
1
10,828
7,879
6,635
5,024
3,841
2,706
1,323
0.455
0.102
0.016
0.004
0.001
0.000
0.000
2
13,816
10,597
9,210
7,378
5,991
4,605
2,773
1,386
0.575
0.211
0.103
0.051
0.020
0.010
3
16,266
12,838
11,345
9,348
7,815
6,251
4,108
2,366
1,213
0.584
0.352
0.216
0.115
0.072
4
18,467
14,860
13,277
11,143
9,488
7,779
5,385
3,357 人
1,923
1,064
0.711
0.484
0.297
0.207
5
20,515
16,750
15,086
12,833
11,070
9,236
6,626
4,351
2,675
1,610
1,145
0.831
0.554
0.412
6
22,458
18,548
16,812
14,449
12,592
10,645
7,841
5,348
3,455
2,204 人
1,635
1,237
0.872
0.676
7
24,322
20,278
18,475
16,013
14,067
12,017
9,037
6,346
4,255
2,833
2,167
1,690
1,239
0.989
8
26,124
21,955
20,090
17,535
15,507
13,362
10,219
7,344
5,071
3,490
2,733
2,180
1,646
1,344
9
27,877
23,589
21,666
19,023
16,919
14,684
11,389
8,343
5,899
4,168
3,325
2,700
2,088
1,735
十
29,588
25,188
23,209
20,483
18,307
15,987
12,549
9,342
6,737
4,865
3,940 人
3,247
2,558
2,156
十一
31,264
26,757
24,725
21,920
19,675
17,275
13,701
10,341
7,584
5,578
4,575
3,816
3,053 人
2,603 人
12
32,909
28,300
26,217
23,337
21,026
18,549
14,845
11,340
8,438
6,304
5,226
4,404
3,571
3,074
13
34,528
29,819
27,688
24,736
22,362
19,812
15,984
12,340
9,299
7,042
5,892
5,009 人
4,107
3,565
14
36,123
31,319
29,141
26,119
23,685
21,064
17,117
13,339
10,165
7,790
6,571
5,629
4,660
4,075
十五
37,697
32,801
30,578
27,488
24,996
22,307
18,245
14,339
11,037
8,547
7,261
6,262
5,229
4,601
16
39,252
34,267
32,000
28,845
26,296
23,542
19,369
15,338
11,912
9,312
7,962
6,908
5,812
5,142
17 号
40,790
35,718
33,409
30,191
27,587
24,769
20,489
16,338
12,792
10,085
8,672
7,564
6,408
5,697
18
42,312
37,156
34,805
31,526
28,869
25,989
21,605
17,338
13,675
10,865
9,390
8,231
7,015
6,265
19
43,820
38,582
36,191
32,852
30,144
27,204
22,718
18,338
14,562
11,651
10,117
8,907
7,633
6,844
二十
45,315
39,997
37,566
34,170
31,410
28,412
23,828
19,337
15,452
12,443
10,851
9,591
8,260
7,434
21
46,797
41,401
38,932
35,479
32,671
29,615
24,935
20,337
16,344
13,240
11,591
10,283
8,897
8,034
22
48,268
42,796
40,289
36,781
33,924
30,813
26,039
21,337
17,240
14,041
12,338
10,982
9,542
8,643
23
49,728
44,181
41,638
38,076
35,172
32,007
27,141
22,337
18,137
14,848
13,091
11,689
10,196
9,260
24
51,179
45,559
42,980
39,364
36,415
33,196
28,241
23,337
19,037
15,659
13,848
12,401
10,856
9,886
25
52,620
46,928
44,314
40,646
37,652
34,382
29,339
24,337
19,939
16,473
14,611
13,120
11,524
10,520
26
54,052
48,290
45,642
41,923
38,885
35,563
30,435
25,336
20,843
17,292
15,379
13,844
12,198
11,160
27
55,476
49,645
46,963
43,195
40,113
36,741
31,528
26,336
21,749
18,114
16,151
14,573
12,879
11,808
28
56,892
50,993
48,278
44,461
41,337
37,916
32,620
27,336
22,657
18,939
16,928
15,308
13,565
12,461
29
58,301
52,336
49,588
45,722
42,557
39,087
33,711
28,336
23,567
19,768
17,708
16,047
14,256
13,121
30
59,703
53,672
50,892
46,979
43,773
40,256
34,800
29,336
24,478
20,599
18,493
16,791
14,953
13,787
35
66,619
60,275
57,342
53,203
49,802
46,059
40,223
34,336
29,054
24,797
22,465
20,569
18,509
17,192
40
73,402
66,766
63,691
59,342
55,758
51,805
45,616
39,335
33,660
29,051
26,509
24,433
22,164
20,707
四五
80,078
73,166
69,957
65,410
61,656
57,505
50,985
44,335
38,291
33,350
30,612
28,366
25,901
24,311
五十
86,660
79,450
76,154
71,420
67,505
63,167
56,334
49,335
42,942
37,689
34,764
32,357
29,707
27,991
60
99,607
91,952
88,379
83,298
79,082
74,397
66,981
59,335
52,294
46,459
43,188
40,482
37,485
35,534
70
112,317
104215
100425
95,023
90,531
85,527
77,577
69,335
61,698
55,329
51,739
48,758
45,442
43,275
80
124,839
116,321
112,329
106,629
101,879
96,578
88130
79,334
71,145
64,278
60,391
57,153
53,540
51,172
90
137208
128,299
124 116
118 136
113 145
107,565
98,650
89,334
80,625
73,291
69,126
65,647
61,754
59,196
100
149,449
140 169
135,807
129,561
124,342
118,498
109141
99,334
90133
82,358
77,929
74,222
70,065
67,328
如何使用卡方分布表
要使用卡方分布图,您需要遵循三个简单的步骤:
在表中输入与卡方分布相对应的自由度行。
按相应的概率列插入表格。
卡方分布的值是在前面步骤中的行和列相交处找到的值。
例如,具有四个自由度的卡方分布的值为 13.277,且有 1% 的概率找到等于或大于该值的值。因为它是在四个自由度的行和 1% 概率 (0.01) 的列中找到的值。