с (шарттар саны)
n
3
4
5
6
p
2
—
—
109
178
0.001
—
60
106
173
0.01.
28
58
103
166
0.05
3
—
89
160
260
0.001
42
87
155
252
0,01
41
84
150
244
0.05
4
56
117
210
341
0.001
55
114
204
331
0.01
54
111
197
321
0,05
5
70
145
259
420
0,001
68
141
251
409
0.01
66
137
244
397
0,05
6
83
172
307
499
0,001
81
167
299
486
0,01
79
163
291
474
0,05
7
96
198
355
577
0.001
93
193
346
$63
0,01
91
189
338
550
0,05
8
109
225
403
655
0.001
106
220
393
640
0,01
104
214
384
625
0,05
9
121
252
451
733
0,001
119
246
441
717
0.01
116
240
431
701
0,05
10
134
278
499
811
0,001
131
272
487
793
0.01
128
266
477
777
0,05
11
147
305
546
888
0,001
144
298
534
869
0,01
141
292
523
852
0,05
12
160
331
593
965
0.001
156
324
581
946
0,01
153
317
570
928
0.05
116
Кесте - 10
Х
2
- критерийінің V-түрлі еркіндік дәрежесі кезіндегі р≤0,05 және р≤0,01 статистикалық
мәнділік деңгейлері үшін шеткі мәндері
ρ
ρ
ρ
V
0,05
0,01
V
0,05
0,01
V
0,05
0,01
1
1
3,841
6,635
35
49,802
57,342
69
89,39
99,227
2
5,991
9,210
36
50,993
58,619
70
90,631
100,425
3
7,815
11,345
37
52,192
59,892
71
91,670
101,621
4
9,468
13,277
38
53,384
61,162
72
92,308
102,816
5
11,070
15,086
39
54,572
62,423
73
93,945
104,010
6
12,592
16,812
40
55,758
63,691
74
95,081
105,202
7
14,067
18,475
41
56,942
64,950
75
96,217
106,393
•
8
15,507
20,090
42
58,124
66,206
76
97,351
107 582
9
16,919
21,666
43
59,304
67,459
77
98,484
108,771
10
18,307
23,209
44
60,481
68,709
78
99,617
109,958
11
19,675
24,725
45
61,656
69,957
79
100,749
111,144
12
21,026
26,217
46
62,830
71,201
80
101,879
112,329
13
22,362
27,688
47
64,001
72,443
81
103,010
113,512
14
23,685
29,141
48
65,171
73,683
82
104,139
114,695
15
24,996
30,573
49
66,339
74,919
83
105,267
115,376
16
26,296
32,000
50
67,505
76,154
84
106,395
117,057
17
27,567
33,409
51
68,669
77,336
85
107,522
118,236
13
28,869
34,805
52
69,832
78,616
86
108,648
119,414
19
30,144
36,191
53
70,993
79,343
87
109,773
120,591
20
31,410
37,566
54
72,153
81,069
83
110,398
121,767
21
32,671
38,932
55
55
73,311
82,292
89
112,022
122,942
22
33,924
40,289
56
74 468
83,513
90
113,145
124,116
23
35,172
41 638
57
75,624
84,733
91
114,263
125,289
24
36,415
42,980
58
76,778
85,950
92
115,390
126,462
23
37,652
44,314
59
77,931
87,166
93
116,511
127,633
26
38, 885
45,642
60
79,082
88,379
94
117,632
123,803
27
40,113
46,963
61
80,232
89,591
95
118,752
129,973
28
41,337
43,278
62
81,381
90,802
96
119,871
131,141
29
42,557
49,588
63
82,529
92,010
97
120,990
132,309
30
43,773
50,892
64
83,675
93,217
98
122,108
133,476
31
44,985
52,191
65
84,321
94,422
99
123,225
134,642
32
46,194
53,486
66
85,965
95,626
100 124, 342
135, 807
33
47,400
54,776
67
87,108
96,828
34
48,602
56,061
68
88,250
98,028
117
Кесте - 11
-Колмогоров–Смирнов критерийінің эмпирикалық үлестірімді теориялық үлестіріммен (п>50)
немесе екі эмпирикалық үлестірімді өзара салыстырудағы (
п>
50) статистикалық мәнділік
деңгейлері үшін шеткі мәндері
(Митропольский Л.К., 1971).
- соңғы ондық белгі
0
1
2
3
4
5
6
7
8
9
ρ - ондық белгі («0» түсірілген)
0.3 99999
99998 99995
99991
99983 999970 99949
99917
99872
99807
0, 4 99719
99603 99452
99262
99027 98741
98400
97998
97532
96998
0,5 96394
95719 94969
94147
93250 92282 0124 2
90134
88960
87724
0, 6 86428
85077 83678
82225
30732 79201
77636
76042
74422
72781
0.7 71124
69453 67774
66089
64402 62717
61036
59363
57700
56050
0.8 54414
52796 51197
49619
48003 46532
45026
43545
42093
40668
0.9 39273
37907 36571
35266
33992 32748
31536
30356
29206
28087
1.0 27000
25943 24917
23922
22957 22021
21114
20236
19387
18566
1,1 17772
17005 16264
15550
14861 14196
13556
12939
12345
11774
1,2 11 225
10697 10190
09703
09235 08787
08357
07944
07550
07171
1.3 06809
06463 06132
05815
05513 05224
04949
04686
04435
04196
1,4 03968
03751 03545
03348
03162 02984
02815
02655
02503
02359
1.5 02222
02092 01969
01852
01742 01638
01539
01446
01357
01274
1.6
01195
01121 01051
00985
00922 00864
00808
00756
00707
00661
1.7 00618
00377 00539
00503
00469 00438
00408
00380
00354
ООЗЗ
О
1.8 00307
00285 00265
00247
00229 00213
00198
00186
186
00170
00153
1,9 00146
00136 00126
00116
00108 00100
00092
00085
00079
00073
2,0 00067
00062 00057
00053
00048 00045
00041
00038
00035
00032
2.1
00030
00027 00025
00023
00021 00019
00018
00016
00015
00014
2.2 00013
00011 00010
00010
00009 00008
00007
00007
00006
00006
2.3 00005
00005 00004
00004
00004
00003
00003
00003
00002
00002
2,4
-т.-
,-
00002
0000
2
0000
2
00001
00001
00001
00001
00001
00001
00001
118
Кесте - 12.
-Фишер бұрышының түрлі пайыздық үлестегі биіктігі үшін =2*arcsin
мәнділік деңгейлері
үшін шеткі мәндері (Урбах В.Ю. 1964)
%, - соңғы ондық белгі
% үлес
0
1
2
3
4
5
5
6
7
8
9
=2*arcsin
мәні
0,0
0,000
0,020
0,028
0,035
0,040
0,045
0,049
0,053
0,057
0,060
0,1
0,063
0.066
0,069
0,072
0,075
0,077
0,080
0,082
0,085
0,087
0,2
0,089
0,092
0,094
0,096
0,098
0,100
0,102
0,104
0,106
0,108
0.3
0.110
0,111
0,113
0.115
0,117
0,118
0,120
0,122
0,123
0,125
0.4
0,127
0,128
0,130
0,131
0,133
0,134
0,136
0,137
0,139
0.140
0.5
0,142
0,143
0,144
0,146
0,147
0,148
0,150
0,151
0,153
0.154
0.6
0,155
0,156
0,158
0,159
0,160
0,161
0,163
0.164
0.165
0,166
0,7
0,168
0,169
0,170
0,171
0,172
0,173
0,175
0.176
0,177
0,178
0.8
0,179
0,180
0,182
0,183
0,184
0.185
0,186
0,187
0,188
0,189
0.9
0,190
0.191
0,192
0,193
0,194
0,195
0,1%
0,197
0,198
0,199
1
0,200
0,210
0,220
0,229
0,237
0,246
0,254
0,262
0,269
0.277
2
0.284
0,291
0,298
0,304
0,311
0,318
0,324
0,330
0,336
0,342
3
0,34
0,354
0,360
0,365
0,371
0,376
0,382
0,387
0,392
0,398
4
0,403
0,408
0.413
0,418
0,423
0,428
0,432
0,437
0,442
0,446
5
0,451
0.456
0,460
0,465
0,469
0,473
0,478
0,482
0,486
0,491
6
0.495
0,499
0,503
0,507
0,512
0,516
0,520
0,524
0,528
0,532
7
0,53
0,539
0,543
0,547
0,551
0,555
0,559
0,562
0,566
0,570
8
0.57
0,577
0,581
0,584
0,588
0392
0,595
0,599
0,602
0.606
9
0.609
0,613
0,616
0,620
0,623
0,627
0,630
0,633
0,637
0,640
10
0,64
0,647
0,650
0.653
0,657
0,660
0,663
0,666
0,670
0,673
11
0,676
0,679
0,682
0,686
0,689
0,692
0,695
0,698
0,701
0,704
12
0,707
0,711
0,714
0,717
0,720
0,723
0,726
0,729
0,732
0,735
13
0,738
0,741
0,744
0,747
0,750
0,752
0,755
0,758
0,761
0,764
14
0,767
0.770
0,773
0,776
0,778
0,781
0,784
0,787
0,790
0,793
15
0,795
0,798
0,801
0,804
0,807
0,809
0,812
0.815
0,818
0,820
16
0,823
0,826
0,828
0.831
0,834
0,837
0,839
0.842
0,845
0,847
17
0,850
0,853
0,855
0,858
0,861
0,863
0,866
0,868
0,871
0,874
18
0,876
0,879
0,881
0,884
0,887
0,889
0,892
0,894
0,897
0,900
19
0,902
0,905
0,907
0,910
0,912
0,915
0,917
0,920
0,922
0,925
20
0,927
0,930
0,932
0,935
0,937
0,940
0,942
0,945
0.947
0,950
21
0.952
0,955
0,957
0.959
0,962
0,964
0,967
0,969
0,972
0.974
22
0,976
0.979
0,981
0,984
0,986
0,988
0,991
0,993
0,9%
0,998
23
1,000
1,003
1,005
1,007
1,010
1,012
1,015
1,017
1,019
1,022
24
1,024
1,026
1,029
1,031
1,033
1,036
1,038
1,040
1,043
1,045
25
1,047
1,050
1,052
1,054
1,056
1,059
1,061
1,063
1,066
1,068
26
1,070
1,072
1,075
1,077
1,079
1,082
1,084
1,086
1,088
1,091
27
1,093
1.095
1,097
1,100
1,102
1,104
1,106
1,109
1,111
1,113
28
1,115
1,117
1,120
1,122
1,124
1,126
1,129
1,131
1,133
1,135
29
1.137
1,140
1,142
1,144
1,146
1,148
1,151
1,153
1,155
1,157
30
1,159
1,161
1,164
1,166
1,168
1,170
1,172
1,174
1,177
1.179
119
Кесте - 12. Жалғасы
% үлес
%, - соңғы ондық белгі
0
1
2
3
4
5
6
7
8
9
=2*arcsin
мәні
31
1,182
1,183
1,185
1.187
1,190
1.192
1,194
1,196
1,198
1,200
32
1,203
1,205
1,207
1.209
1.211
1,213
1.215
1,217
1,220
1,222
33
1,224
1,226
1,228
1,230
1.232
1,234
1,237
1,239
1,241
1,243
34
1,245
1,247
1,249
1,251
1,254
1,256
1,258
1,260
1,262
1,264
35
1,266
1,268
1.270
1,272
1,274
1,277
1,279
1,281
1,283
1,285
36
1,287
1,289
1,291
1,293
1,295
1,297
1,299
1,302
1,304
1,306
37
1,308
1,310
1,312
1,314
1,316
1.318
1,320
1.322
1,324
1,326
38
1,328
1,330
1,333
1,335
1,337
1,339
1,341
1,343
1,345
1,347
39
1,349
1.351
1,353
1,355
1,357
1,359
1,361
1,363
1,365
1,367
40
1,369
1,371
1.374
1,376
1,378
1,380
1,382
1,384
1,386
1,388
41
1,390
1.392
1,394
1,396
1,398
1,400
1,402
1,404
1,406
1.408
42
1,410
1,412
1,414
1,416
1,418
1,420
1,422
1,424
1.426
1,428
43
1,430
1,432
1,434
1.436
1,438
1.440
1,442
1,444
1,446
1,448
44
1,451
1.453
1,455
1,457
1,459
1,461
1,463
1,465
1,467
1,469
45
1,471
1,473
1,475
1,477
1,479
1,481
1,483
1,485
1,487
1,489
46
1,491
1,493
1.495
1,497
1,499
1.501
1,503
1,505
1,507
1,509
47
1.511
1,513
1,515
1,517
1,519
1.521
1,523
1,525
1,527
1,529
48
1,531
1,533
1.535
1.537
1.539
1.541
1,543
1,545
1,547
1.549
49
1,551
1,553
1,555
1,557
1,559
1.561
1,563
1,565
1,567
1,569
50
1,571
1,573
1,575
1,577
1,579
1,581
1,583
1,585
1,587
1.589
51
1,591
1,593
1.595
1,597
1,599
1,601
1,603
1,605
1.607
1,609
52
1,611
1,613
1.615
1,617
1,619
1,621
1.623
1,625
1,627
1,629
53
1,631
1.633
1,635
1,637
1,639
1.641
1.643
1,645
1.647
1,649
54
1,651
1,653
1,655
1,657
1.659
1,661
1,663
1,665
1.667
1,669
55
1,671
1.673
1,675
1,677
1,679
1,681
1,683
1,685
1,687
1,689
56
1.691
1,693
1,695
1,697
1,699
1,701
1,703
1,705
1,707
1,709
57
1,711
1,713
1,715
1.717
1,719
1.721
1,723
1.725
1,727
1,729
58
1,731
1,734
1,736
1,738
1,740
1,742
1.744
1,746
1,748
1,750
59
1,752
1.754
1.756
1,758
1,760
1,762
1,764
1,766
1,768
1,770
60
1,772
1,774
1,776
1,778
1,780
1,782
1,784
1,786
1,789
1,791
61
1,79$
1,795
1.797
1,799
1,801
1,803
1,805
1,807
1,809
1.811
62
1,813
1,815
1,817
1,819
1,821
1,823
1,826
1,828
1,830
1,832
63
1,834
1,836
1,838
1,840
1,842
1,844
1,846
1,848
1,850
1,853
64
1855
1,857
1,859
1,861
1,863
1,865
1,867
1.869
1,871
1,873
65
1,875
1,878
1,880
1.882
1,884
1,886
1,888
1,890
1,892
1,894
66
1,897
1,899
1,901
1,903
1.905
1,907
1,909
1.911
1.913
1,916
67
1,918
1,920
1.922
1,924
1,926
1,928
1,930
1.933
1,935
1,937
68
1,939
1.941
1.943
1,946
1.948
1,950
1.952
1,954
1,956
1,958
69
1,961
1,963
1.965
1,967
1,969
1.971
1,974
1,976
1,978
1,980
70
1,982
1,984
1,987
1.989
1,991
1,993
1,995
1,998
2,000
2,002
71
2,004
2,006
2,009
2,011
2,013
2,015
2,018
2,020
2,022
2,024
72
2,026
2,029
2,031
2,033
2,035
2,038
2,040
2,042
2,044
2,047
73
2,049
2,051
2,053
2,056
2,058
2.060
2,062
2,065
2,067
2,069
74
2,071
2,074
2,076
2.078
2,081
2.083
2,085
2,087
2,090
2,092
75
2.094
2,097
2.099
2,101
2.104
2,106
2,108
2,111
2,113
2,115
76
2.118
2.120
2,122
2.125
2,127
2,129
2.132
2,134
2,136
2,139
77
2,141
2.144
2,146
2,148
2,151
2,153
2,156
2,158
2,160
2,163
78
2.165
2,168
2,170
2.172
2,175
2,177
2.180
2,182
2,185
2,187
79
2,190
2,192
2,194
2,197
2,199
2.202
2,204
2,207
2,209
2,212
80
2,214
2,217
2.219
2,222
2.224
2,227
2,229
2,231
2.234
2,237
120
Кесте - 12. Жалғасы
% үлес
%, - соңғы ондық белгі
% үлес
0
1
2
3
4
5
6
7
8
9
=2*arcsin
мәні
81
2.240
2.242
2.245
2.247
2.250
2.252
2.255
2.258
2.260
2,263
82
2.265
2.268
2.271
2.273
2.276
? 278
2.281
2.284
2.286
2.289
83
2292
2.294
2.297
2.300
2.302
2.305
2.303
2.310
2.315
2,316
84
2319
2.321
2.324
2.327
2,330
2.332
2.335
2.333
2.3 Я
2.343
85
2.346
2.349
2.352
2,355
2.357
2.360
2.363
2.366
2.369
2,372
86
2375
2.377
2.380
2.383
2.336
2.389
2.392
2.395
2.393
2.401
87
2.404
2.407
2.410
2.413
2.416
2,419
2.422
2.425
2.423
2.431
88
2.434
2.437
2.440
2.443
2.447
2.150
2.453
2.4 56
2.459
2.462
89
2.465
2,469
2472
2.475
2.473
2.432
2.485
2,483
2.491
2.495
90
2.493
2.501
2.505
2.508
2.512
2.515
2.518
2.522
2,525
2.529
91
2,532
2,536
2,539
2,543
2,546
7.550
2,554
2,557
2,561
2,564
92
2.568
2.572
2.575
2.579
2,583
2.537
2.591
2.594
2,598
2.602
93
2.606
2.610
2.614
2.618
2.622
2 626
2.630
2.634
2 633
2.642
94
2.647
2 651
2 655
2 659
2.664
2.663
2.673
2.677
2,681
2.636
95
2.691
2.295
2700
2 70'
2.709
2.714
2.719
2.724
2.729
2.734
96
2.739
2.744
2.749
2,754
2.760
2.765
2.771
2.776
2.732
2.788
97
2 793
2.799
2.805
2.811
2.818
2,824
2.830
2 837
2 854
2 851
98
2.858
1565
2.872
2.860
2,888
2.896
2.904
2.913
2.922
2 931
99.0
2 9 41
2942
2.943
2 . 9 4 4
2.945
2,946
_2 943
2,949
2.950
2.951
99.1
2.952
2.953
2.954
2.955
2.956
2.957
2.958
2.959
2.960
2.961
99.2
2.963
2 964
2.965
2.966
2967
2.968
2.969
2.971
2.972
2.973
99.3
2.974
2 975
2.976
2.978
2.979
2.980
2 981
2.983
2.984
2 9 8 5
99.4
2.987
2.988
2.989
2.990
2.992
2.993
2995
2.996
2,997
2.999
99 5
3.000
3.002
3.003
3.004
5.006
З.007
3,009
3.010
3,012
3.013
99.6
3015
3.0 17
3.018
3.020
3.022
3.023
3,025
3 027
3.028
З.ОЗ0
99.7
3.032
3.034
3.036
3.038
3.040
3.041
3.044
3.046
3,043
З.О50
99.3
3.052
3.054
3.057
3.059
3.062
З.064
3.067
3.069
3.072
3.075
99.9
3.078
3.082
3.085
3.089
3.093
3.097
3,101
3.107
З.113
3
3,122
100
3.142
Кесте - 13
Фишер
-критерийі түрлі мәндерінің статистикалық мәнділік деңгейлері үшін шеткі
мәндері (Гублер Е.В. 1978)
ρ
тең
не аз
ρ тең немесе аз (соңғы ондық белгі)
0
1
2
3
4
7
8
9
0,00
2.91
2,81
2,70
2,62
2.55
2,49
2.44
2,39
2.35
0.01
2.31
2,28
2,25
2.22
2,19
2,16
2,14
2.11
2.09
2.07
0.02
2.05
2,03
2,01
1.99
1.97
1.96
1,94
1.92
1.91
1 89
0,03
1.88
1,86
1.85
1.84
1,82
1.81
1,30
1.79
1.77
1.76
0.04
1.75
1.74
1.73
1.72
1.71
1.70
1 68
1 67
1.66
1.65
0.05
1.64
1.64
1.63
1,62
1.61
I 60
1,59
1.58
1.57
1.56
0.06
1.56
1.55
1.54
1.53
1.52
1.52
1.51
1,50
1.49
1,48
0.07
1.48
1.47
1.46
1.46
1.45
1.44
1.43
1.43
1,42
1.41
0.08
1,41
1.40
1,39
1.39
1 38
1.37
1.37
1.36
1,36
1.35
0,09
1.34
1,34
1.33
1.32
1.32
1.31
1,31
1,30
1.30
1,29
0.10
1.29
t
121
Кесте - 14
m
- Биномиалды критерийінің ρ=0,50, n≤300 кезіндегі статистикалық мәнділік деңгейлері үшін
шеткі мәндері (Оуэн Д.В. 1966)
n
ρ
n
ρ
n
ρ
n
ρ
0.05
0.01
0.05
0.01
0.05
0.01
0.05
0.01
5
5
-
27
19
20
49
31
34
90
54
57
6
6
-
28
20
21
50
32
34
92
55
58
7
7
7
29
20
22
52
33
35
94
56
59
8
7
8
30
20
22
54
34
36
96
57
60
9
8
9
31
21
23
56
35
38
98
58
61
10
9
10
32
22
24
58
36
39
100
59
63
11
9
10
33
22
24
60
37
40
110
65
68
12
10
11
34
23
25
62
38
41
120
70
74
13
10
12
35
23
25
64
40
42
130
75
79
14
11
12
36
24
26
66
41
43
140
81
85
15
12
13
37
24
27
68
42
45
150
86
90
16
12
14
38
25
27
70
43
46
160
91
96
17
13
14
39
26
28
72
44
47
170
97
101
18
13
15
40
26
28
74
45
48
180
102
107
19
14
15
41
27
29
76
46
49
190
107
112
20
15
16
42
27
29
78
47
50
200
113
117
21
15
17
43
28
30
80
48
51
220
123
128
22
16
17
44
28
31
82
49
52
240
134
139
23
16
18
45
29
31
84
51
54
260
144
150
24
17
19
46
30
32
86
52
55
280
155
160
25
18
19
47
30
32
88
53
56
300
165
171
26
18
20
48
31
33
Достарыңызбен бөлісу: |