جدول
كا2
درجة الحرية
|
مستوى
الدلالة أو الثقة
|
||
0.05
|
0.01
|
0.001
|
|
1
|
3.84
|
6.64
|
10.83
|
2
|
5.99
|
9.21
|
13.82
|
3
|
7.82
|
11.35
|
16.27
|
4
|
9.49
|
13.28
|
18.47
|
5
|
11.07
|
15.09
|
20.52
|
6
|
12.59
|
16.81
|
22.46
|
7
|
14.07
|
18.48
|
24.32
|
8
|
15.51
|
20.09
|
26.13
|
9
|
16.92
|
21.67
|
27.88
|
10
|
18.31
|
23.21
|
29.59
|
11
|
19.68
|
24.73
|
31.26
|
12
|
21.03
|
26.22
|
32.91
|
13
|
22.36
|
27.69
|
34.53
|
14
|
23.69
|
29.14
|
36.12
|
15
|
25.00
|
30.58
|
37.70
|
16
|
26.30
|
32.00
|
39.25
|
17
|
27.59
|
33.41
|
40.79
|
18
|
28.87
|
34.81
|
42.31
|
19
|
30.14
|
36.19
|
43.82
|
20
|
31.41
|
37.57
|
45.32
|
21
|
32.67
|
38.93
|
46.80
|
22
|
33.92
|
40.29
|
48.27
|
23
|
35.17
|
41.64
|
49.73
|
24
|
36.42
|
42.98
|
51.18
|
25
|
37.65
|
44.31
|
52.62
|
26
|
38.89
|
45.64
|
54.05
|
27
|
40.11
|
46.96
|
55.48
|
28
|
41.34
|
48.28
|
56.89
|
29
|
42.56
|
49.59
|
58.30
|
30
|
43.77
|
50.89
|
59.70
|
31
|
44.99
|
52.19
|
61.10
|
32
|
46.19
|
53.49
|
62.49
|
33
|
47.40
|
54.78
|
63.87
|
34
|
48.60
|
56.06
|
65.25
|
35
|
49.80
|
57.34
|
66.62
|
36
|
51.00
|
58.62
|
67.99
|
37
|
52.19
|
59.89
|
69.35
|
38
|
53.38
|
61.16
|
70.71
|
39
|
54.57
|
62.43
|
72.06
|
40
|
55.76
|
63.69
|
73.41
|
41
|
56.94
|
64.95
|
74.75
|
42
|
58.12
|
66.21
|
76.09
|
43
|
59.30
|
67.46
|
77.42
|
44
|
60.48
|
68.71
|
78.75
|
45
|
61.66
|
69.96
|
80.08
|
46
|
62.83
|
71.20
|
81.40
|
47
|
64.00
|
72.44
|
82.72
|
48
|
65.17
|
73.68
|
84.03
|
49
|
66.34
|
74.92
|
85.35
|
50
|
67.51
|
76.15
|
86.66
|
51
|
68.67
|
77.39
|
87.97
|
52
|
69.83
|
78.62
|
89.27
|
53
|
70.99
|
79.84
|
90.57
|
54
|
72.15
|
81.07
|
91.88
|
55
|
73.31
|
82.29
|
93.17
|
56
|
74.47
|
83.52
|
94.47
|
57
|
75.62
|
84.73
|
95.75
|
58
|
76.78
|
85.95
|
97.03
|
59
|
77.93
|
87.17
|
98.34
|
60
|
79.08
|
88.38
|
99.62
|
61
|
80.23
|
89.59
|
100.88
|
62
|
81.38
|
90.80
|
102.15
|
63
|
82.53
|
92.01
|
103.46
|
64
|
83.68
|
93.22
|
104.72
|
65
|
84.82
|
94.42
|
105.97
|
66
|
85.97
|
95.63
|
107.26
|
67
|
87.11
|
96.83
|
108.54
|
68
|
88.25
|
98.03
|
109.79
|
69
|
89.39
|
99.23
|
111.06
|
70
|
90.53
|
100.42
|
112.31
|
71
|
91.67
|
101.62
|
113.56
|
72
|
92.81
|
102.82
|
114.84
|
73
|
93.95
|
104.01
|
116.08
|
74
|
95.08
|
105.20
|
117.35
|
75
|
96.22
|
106.39
|
118.60
|
76
|
97.35
|
107.58
|
119.85
|
77
|
98.49
|
108.77
|
121.11
|
78
|
99.62
|
109.96
|
122.36
|
79
|
100.75
|
111.15
|
123.60
|
80
|
101.88
|
112.33
|
124.84
|
81
|
103.01
|
113.51
|
126.09
|
82
|
104.14
|
114.70
|
127.33
|
83
|
105.27
|
115.88
|
128.57
|
84
|
106.40
|
117.06
|
129.80
|
85
|
107.52
|
118.24
|
131.04
|
86
|
108.65
|
119.41
|
132.28
|
87
|
109.77
|
120.59
|
133.51
|
88
|
110.90
|
121.77
|
134.74
|
89
|
112.02
|
122.94
|
135.96
|
90
|
113.15
|
124.12
|
137.19
|
91
|
114.27
|
125.29
|
138.45
|
92
|
115.39
|
126.46
|
139.66
|
93
|
116.51
|
127.63
|
140.90
|
94
|
117.63
|
128.80
|
142.12
|
95
|
118.75
|
129.97
|
143.32
|
96
|
119.87
|
131.14
|
144.55
|
97
|
120.99
|
132.31
|
145.78
|
98
|
122.11
|
133.47
|
146.99
|
99
|
123.23
|
134.64
|
148.21
|
100
|
124.34
|
135.81
|
149
|
جدول ت
درجة الحرية
|
مستوى الدلالة
|
|||||||
طرف واحد
|
0.1
|
0.05
|
0.01
|
0.005
|
0.001
|
0.0005
|
0.0001
|
0.00005
|
طرفين
|
0.2
|
0.1
|
0.05
|
0.01
|
0.005
|
0.001
|
0.0005
|
0.0001
|
2
|
1.89
|
2.92
|
4.30
|
9.92
|
14.09
|
31.60
|
44.70
|
100.14
|
3
|
1.64
|
2.35
|
3.18
|
5.84
|
7.45
|
12.92
|
16.33
|
28.01
|
4
|
1.53
|
2.13
|
2.78
|
4.60
|
5.60
|
8.61
|
10.31
|
15.53
|
5
|
1.48
|
2.02
|
2.57
|
4.03
|
4.77
|
6.87
|
7.98
|
11.18
|
6
|
1.44
|
1.94
|
2.45
|
3.71
|
4.32
|
5.96
|
6.79
|
9.08
|
7
|
1.41
|
1.89
|
2.36
|
3.50
|
4.03
|
5.41
|
6.08
|
7.89
|
8
|
1.40
|
1.86
|
2.31
|
3.36
|
3.83
|
5.04
|
5.62
|
7.12
|
9
|
1.38
|
1.83
|
2.26
|
3.25
|
3.69
|
4.78
|
5.29
|
6.59
|
10
|
1.37
|
1.81
|
2.23
|
3.17
|
3.58
|
4.59
|
5.05
|
6.21
|
11
|
1.36
|
1.80
|
2.20
|
3.11
|
3.50
|
4.44
|
4.86
|
5.92
|
12
|
1.36
|
1.78
|
2.18
|
3.05
|
3.43
|
4.32
|
4.72
|
5.70
|
13
|
1.35
|
1.77
|
2.16
|
3.01
|
3.37
|
4.22
|
4.60
|
5.51
|
14
|
1.35
|
1.76
|
2.14
|
2.98
|
3.33
|
4.14
|
4.50
|
5.36
|
15
|
1.34
|
1.75
|
2.13
|
2.95
|
3.29
|
4.07
|
4.42
|
5.24
|
16
|
1.34
|
1.75
|
2.12
|
2.92
|
3.25
|
4.01
|
4.35
|
5.13
|
17
|
1.33
|
1.74
|
2.11
|
2.90
|
3.22
|
3.97
|
4.29
|
5.04
|
18
|
1.33
|
1.73
|
2.10
|
2.88
|
3.20
|
3.92
|
4.23
|
4.97
|
19
|
1.33
|
1.73
|
2.09
|
2.86
|
3.17
|
3.88
|
4.19
|
4.90
|
20
|
1.33
|
1.72
|
2.09
|
2.85
|
3.15
|
3.85
|
4.15
|
4.84
|
21
|
1.32
|
1.72
|
2.08
|
2.83
|
3.14
|
3.82
|
4.11
|
4.78
|
22
|
1.32
|
1.72
|
2.07
|
2.82
|
3.12
|
3.79
|
4.08
|
4.74
|
23
|
1.32
|
1.71
|
2.07
|
2.81
|
3.10
|
3.77
|
4.05
|
4.69
|
24
|
1.32
|
1.71
|
2.06
|
2.80
|
3.09
|
3.75
|
4.02
|
4.65
|
25
|
1.32
|
1.71
|
2.06
|
2.79
|
3.08
|
3.73
|
4.00
|
4.62
|
26
|
1.31
|
1.71
|
2.06
|
2.78
|
3.07
|
3.71
|
3.97
|
4.59
|
27
|
1.31
|
1.70
|
2.05
|
2.77
|
3.06
|
3.69
|
3.95
|
4.56
|
28
|
1.31
|
1.70
|
2.05
|
2.76
|
3.05
|
3.67
|
3.93
|
4.53
|
29
|
1.31
|
1.70
|
2.05
|
2.76
|
3.04
|
3.66
|
3.92
|
4.51
|
30
|
1.31
|
1.70
|
2.04
|
2.75
|
3.03
|
3.65
|
3.90
|
4.48
|
35
|
1.31
|
1.69
|
2.03
|
2.72
|
3.00
|
3.59
|
3.84
|
4.39
|
40
|
1.30
|
1.68
|
2.02
|
2.70
|
2.97
|
3.55
|
3.79
|
4.32
|
45
|
1.30
|
1.68
|
2.01
|
2.69
|
2.95
|
3.52
|
3.75
|
4.27
|
50
|
1.30
|
1.68
|
2.01
|
2.68
|
2.94
|
3.50
|
3.72
|
4.23
|
55
|
1.30
|
1.67
|
2.00
|
2.67
|
2.92
|
3.48
|
3.70
|
4.20
|
60
|
1.30
|
1.67
|
2.00
|
2.66
|
2.91
|
3.46
|
3.68
|
4.17
|
65
|
1.29
|
1.67
|
2.00
|
2.65
|
2.91
|
3.45
|
3.66
|
4.15
|
70
|
1.29
|
1.67
|
1.99
|
2.65
|
2.90
|
3.43
|
3.65
|
4.13
|
75
|
1.29
|
1.67
|
1.99
|
2.64
|
2.89
|
3.42
|
3.64
|
4.11
|
80
|
1.29
|
1.66
|
1.99
|
2.64
|
2.89
|
3.42
|
3.63
|
4.10
|
85
|
1.29
|
1.66
|
1.99
|
2.63
|
2.88
|
3.41
|
3.62
|
4.08
|
90
|
1.29
|
1.66
|
1.99
|
2.63
|
2.88
|
3.40
|
3.61
|
4.07
|
95
|
1.29
|
1.66
|
1.99
|
2.63
|
2.87
|
3.40
|
3.60
|
4.06
|
100
|
1.29
|
1.66
|
1.98
|
2.63
|
2.87
|
3.39
|
3.60
|
4.05
|
200
|
1.29
|
1.65
|
1.97
|
2.60
|
2.84
|
3.34
|
3.54
|
3.97
|
500
|
1.28
|
1.65
|
1.96
|
2.59
|
2.82
|
3.31
|
3.50
|
3.92
|
1000
|
1.28
|
1.65
|
1.96
|
2.58
|
2.81
|
3.30
|
3.49
|
3.91
|
∞
|
1.28
|
1.64
|
1.96
|
2.58
|
2.81
|
3.29
|
3.48
|
3.89
|
جدول ف
درجة حرية التباين الصغير
|
درجة حرية التباين الكبير
|
||||||||
1
|
2
|
3
|
4
|
5
|
6
|
8
|
12
|
¥
|
|
1
|
161
|
200
|
216
|
225
|
230
|
234
|
239
|
244
|
254
|
2
|
18.5
|
19.0
|
19.2
|
19.3
|
19.3
|
19.3
|
19.4
|
19.4
|
19.5
|
3
|
10.1
|
9.6
|
9.3
|
9.1
|
9.0
|
8.9
|
8.8
|
8.7
|
8.5
|
4
|
7.7
|
6.9
|
6.6
|
6.4
|
6.3
|
6.2
|
6.0
|
5.9
|
5.6
|
5
|
6.6
|
5.8
|
5.4
|
5.2
|
5.1
|
5.0
|
4.8
|
4.7
|
4.4
|
6
|
6.0
|
5.1
|
4.8
|
4.5
|
4.4
|
4.3
|
4.2
|
4.0
|
3.7
|
7
|
5.6
|
4.7
|
4.4
|
4.1
|
4.0
|
3.9
|
3.7
|
3.6
|
3.2
|
8
|
5.3
|
4.5
|
4.1
|
3.8
|
3.7
|
3.6
|
3.4
|
3.3
|
2.9
|
9
|
5.1
|
4.3
|
3.9
|
3.6
|
3.5
|
3.4
|
3.2
|
3.1
|
2.7
|
10
|
5.0
|
4.1
|
3.7
|
3.5
|
3.3
|
3.2
|
3.1
|
2.9
|
2.5
|
11
|
4.8
|
4.0
|
3.6
|
3.4
|
3.2
|
3.1
|
3.0
|
2.8
|
2.4
|
12
|
4.8
|
3.9
|
3.5
|
3.3
|
3.1
|
3.0
|
2.9
|
2.7
|
2.3
|
13
|
4.7
|
3.8
|
3.4
|
3.2
|
3.0
|
2.9
|
2.8
|
2.6
|
2.2
|
14
|
4.6
|
3.7
|
3.3
|
3.1
|
3.0
|
2.9
|
2.7
|
2.5
|
2.1
|
15
|
4.5
|
3,7
|
3.3
|
3.1
|
2.9
|
2.8
|
2.6
|
2.5
|
2.1
|
16
|
4.5
|
3.6
|
3.2
|
3.0
|
2.9
|
2.7
|
2.6
|
2.4
|
2.0
|
17
|
4.5
|
3.6
|
3.2
|
3.0
|
2.8
|
2.7
|
2.6
|
2.4
|
2.0
|
18
|
4.4
|
3.6
|
3.2
|
2.9
|
2.8
|
2.7
|
2.5
|
2.3
|
1.9
|
19
|
4.4
|
3.5
|
3.1
|
2.9
|
2.7
|
2.6
|
2.5
|
2.3
|
1.9
|
20
|
4.4
|
3.5
|
3.1
|
2.9
|
2.7
|
2.6
|
2.5
|
2.3
|
1.8
|
21
|
4.3
|
3.5
|
3.1
|
2.8
|
2.7
|
2.6
|
2.4
|
2.3
|
1.8
|
22
|
4.3
|
3.4
|
3.1
|
2.8
|
2.7
|
2.6
|
2.4
|
2.2
|
1.8
|
23
|
4.3
|
3.4
|
3.0
|
2.8
|
2.6
|
2.5
|
2.4
|
2.2
|
1.8
|
24
|
4.3
|
3.4
|
3.0
|
2.8
|
2.6
|
2.5
|
2.4
|
2.2
|
1.7
|
25
|
4.2
|
3.4
|
3.0
|
2.8
|
2.6
|
2.5
|
2.3
|
2.2
|
1.7
|
26
|
4.2
|
3.4
|
3.0
|
2.7
|
2.6
|
2.5
|
2.3
|
2.2
|
1.7
|
27
|
4.2
|
3.4
|
3.0
|
2.7
|
2.6
|
2.5
|
2.3
|
2.1
|
1.7
|
28
|
4.2
|
3.3
|
3.0
|
2.7
|
2.6
|
2.4
|
2.3
|
2.1
|
1.7
|
29
|
4.2
|
3.3
|
2.9
|
2.7
|
2.5
|
2.4
|
2.3
|
2.1
|
1.6
|
30
|
4.2
|
3.3
|
2.9
|
2.7
|
2.5
|
2.4
|
2.3
|
2.1
|
1.6
|
40
|
4.1
|
3.2
|
2.8
|
2.6
|
2.5
|
2.3
|
2.2
|
2.0
|
1.5
|
60
|
4.0
|
3.2
|
2.8
|
2.5
|
2.4
|
2.3
|
2.1
|
1.9
|
1.4
|
120
|
3.9
|
3.1
|
2.7
|
2.5
|
2.3
|
2.2
|
2.0
|
1.8
|
1.3
|
¥
|
3.8
|
3.0
|
2.6
|
2.4
|
2.2
|
2.1
|
1.9
|
1.8
|
1.0
|