Title | 5 FTable - The F table for statistics |
---|---|
Course | economics and statitics |
Institution | Kirinyaga University |
Pages | 8 |
File Size | 169.2 KB |
File Type | |
Total Downloads | 91 |
Total Views | 155 |
The F table for statistics...
T-12
Tables •
Probability p
Table entry for p is the critical value F ∗ with probability p lying to its right.
F*
TABLE E F critical values
Degrees of freedom in the denominator
Degrees of freedom in the numerator p
1
2
1
.100 .050 .025 .010 .001
39.86 161.45 647.79 4052.2 405284
49.50 199.50 799.50 4999.5 500000
53.59 215.71 864.16 5403.4 540379
55.83 224.58 899.58 5624.6 562500
57.24 230.16 921.85 5763.6 576405
58.20 233.99 937.11 5859.0 585937
58.91 236.77 948.22 5928.4 592873
59.44 238.88 956.66 5981.1 598144
59.86 240.54 963.28 6022.5 602284
2
.100 .050 .025 .010 .001
8.53 18.51 38.51 98.50 998.50
9.00 19.00 39.00 99.00 999.00
9.16 19.16 39.17 99.17 999.17
9.24 19.25 39.25 99.25 999.25
9.29 19.30 39.30 99.30 999.30
9.33 19.33 39.33 99.33 999.33
9.35 19.35 39.36 99.36 999.36
9.37 19.37 39.37 99.37 999.37
9.38 19.38 39.39 99.39 999.39
3
.100 .050 .025 .010 .001
5.54 10.13 17.44 34.12 167.03
5.46 9.55 16.04 30.82 148.50
5.39 9.28 15.44 29.46 141.11
5.34 9.12 15.10 28.71 137.10
5.31 9.01 14.88 28.24 134.58
5.28 8.94 14.73 27.91 132.85
5.27 8.89 14.62 27.67 131.58
5.25 8.85 14.54 27.49 130.62
5.24 8.81 14.47 27.35 129.86
4
.100 .050 .025 .010 .001
4.54 7.71 12.22 21.20 74.14
4.32 6.94 10.65 18.00 61.25
4.19 6.59 9.98 16.69 56.18
4.11 6.39 9.60 15.98 53.44
4.05 6.26 9.36 15.52 51.71
4.01 6.16 9.20 15.21 50.53
3.98 6.09 9.07 14.98 49.66
3.95 6.04 8.98 14.80 49.00
3.94 6.00 8.90 14.66 48.47
5
.100 .050 .025 .010 .001
4.06 6.61 10.01 16.26 47.18
3.78 5.79 8.43 13.27 37.12
3.62 5.41 7.76 12.06 33.20
3.52 5.19 7.39 11.39 31.09
3.45 5.05 7.15 10.97 29.75
3.40 4.95 6.98 10.67 28.83
3.37 4.88 6.85 10.46 28.16
3.34 4.82 6.76 10.29 27.65
3.32 4.77 6.68 10.16 27.24
6
.100 .050 .025 .010 .001
3.78 5.99 8.81 13.75 35.51
3.46 5.14 7.26 10.92 27.00
3.29 4.76 6.60 9.78 23.70
3.18 4.53 6.23 9.15 21.92
3.11 4.39 5.99 8.75 20.80
3.05 4.28 5.82 8.47 20.03
3.01 4.21 5.70 8.26 19.46
2.98 4.15 5.60 8.10 19.03
2.96 4.10 5.52 7.98 18.69
7
.100 .050 .025 .010 .001
3.59 5.59 8.07 12.25 29.25
3.26 4.74 6.54 9.55 21.69
3.07 4.35 5.89 8.45 18.77
2.96 4.12 5.52 7.85 17.20
2.88 3.97 5.29 7.46 16.21
2.83 3.87 5.12 7.19 15.52
2.78 3.79 4.99 6.99 15.02
2.75 3.73 4.90 6.84 14.63
2.72 3.68 4.82 6.72 14.33
3
4
5
6
7
8
9
Tables
T-13 •
Probability p
Table entry for p is the critical value F ∗ with probability p lying to its right.
F*
TABLE E F critical values (continued) Degrees of freedom in the numerator 10
12
15
20
25
30
40
50
60
120
1000
60.19 241.88 968.63 6055.8 605621
60.71 243.91 976.71 6106.3 610668
61.22 245.95 984.87 6157.3 615764
61.74 248.01 993.10 6208.7 620908
62.05 249.26 998.08 6239.8 624017
62.26 250.10 1001.4 6260.6 626099
62.53 251.14 1005.6 6286.8 628712
62.69 251.77 1008.1 6302.5 630285
62.79 252.20 1009.8 6313.0 631337
63.06 253.25 1014.0 6339.4 633972
63.30 254.19 1017.7 6362.7 636301
9.39 19.40 39.40 99.40 999.40
9.41 19.41 39.41 99.42 999.42
9.42 19.43 39.43 99.43 999.43
9.44 19.45 39.45 99.45 999.45
9.45 19.46 39.46 99.46 999.46
9.46 19.46 39.46 99.47 999.47
9.47 19.47 39.47 99.47 999.47
9.47 19.48 39.48 99.48 999.48
9.47 19.48 39.48 99.48 999.48
9.48 19.49 39.49 99.49 999.49
9.49 19.49 39.50 99.50 999.50
5.23 8.79 14.42 27.23 129.25
5.22 8.74 14.34 27.05 128.32
5.20 8.70 14.25 26.87 127.37
5.18 8.66 14.17 26.69 126.42
5.17 8.63 14.12 26.58 125.84
5.17 8.62 14.08 26.50 125.45
5.16 8.59 14.04 26.41 124.96
5.15 8.58 14.01 26.35 124.66
5.15 8.57 13.99 26.32 124.47
5.14 8.55 13.95 26.22 123.97
5.13 8.53 13.91 26.14 123.53
3.92 5.96 8.84 14.55 48.05
3.90 5.91 8.75 14.37 47.41
3.87 5.86 8.66 14.20 46.76
3.84 5.80 8.56 14.02 46.10
3.83 5.77 8.50 13.91 45.70
3.82 5.75 8.46 13.84 45.43
3.80 5.72 8.41 13.75 45.09
3.80 5.70 8.38 13.69 44.88
3.79 5.69 8.36 13.65 44.75
3.78 5.66 8.31 13.56 44.40
3.76 5.63 8.26 13.47 44.09
3.30 4.74 6.62 10.05 26.92
3.27 4.68 6.52 9.89 26.42
3.24 4.62 6.43 9.72 25.91
3.21 4.56 6.33 9.55 25.39
3.19 4.52 6.27 9.45 25.08
3.17 4.50 6.23 9.38 24.87
3.16 4.46 6.18 9.29 24.60
3.15 4.44 6.14 9.24 24.44
3.14 4.43 6.12 9.20 24.33
3.12 4.40 6.07 9.11 24.06
3.11 4.37 6.02 9.03 23.82
2.94 4.06 5.46 7.87 18.41
2.90 4.00 5.37 7.72 17.99
2.87 3.94 5.27 7.56 17.56
2.84 3.87 5.17 7.40 17.12
2.81 3.83 5.11 7.30 16.85
2.80 3.81 5.07 7.23 16.67
2.78 3.77 5.01 7.14 16.44
2.77 3.75 4.98 7.09 16.31
2.76 3.74 4.96 7.06 16.21
2.74 3.70 4.90 6.97 15.98
2.72 3.67 4.86 6.89 15.77
2.70 3.64 4.76 6.62 14.08
2.67 3.57 4.67 6.47 13.71
2.63 3.51 4.57 6.31 13.32
2.59 3.44 4.47 6.16 12.93
2.57 3.40 4.40 6.06 12.69
2.56 3.38 4.36 5.99 12.53
2.54 3.34 4.31 5.91 12.33
2.52 3.32 4.28 5.86 12.20
2.51 3.30 4.25 5.82 12.12
2.49 3.27 4.20 5.74 11.91
2.47 3.23 4.15 5.66 11.72
(Continued)
T-14
Tables •
TABLE E F critical values (continued)
Degrees of freedom in the denominator
Degrees of freedom in the numerator p
1
2
3
8
.100 .050 .025 .010 .001
3.46 5.32 7.57 11.26 25.41
3.11 4.46 6.06 8.65 18.49
2.92 4.07 5.42 7.59 15.83
2.81 3.84 5.05 7.01 14.39
2.73 3.69 4.82 6.63 13.48
2.67 3.58 4.65 6.37 12.86
2.62 3.50 4.53 6.18 12.40
2.59 3.44 4.43 6.03 12.05
2.56 3.39 4.36 5.91 11.77
9
.100 .050 .025 .010 .001
3.36 5.12 7.21 10.56 22.86
3.01 4.26 5.71 8.02 16.39
2.81 3.86 5.08 6.99 13.90
2.69 3.63 4.72 6.42 12.56
2.61 3.48 4.48 6.06 11.71
2.55 3.37 4.32 5.80 11.13
2.51 3.29 4.20 5.61 10.70
2.47 3.23 4.10 5.47 10.37
2.44 3.18 4.03 5.35 10.11
10
.100 .050 .025 .010 .001
3.29 4.96 6.94 10.04 21.04
2.92 4.10 5.46 7.56 14.91
2.73 3.71 4.83 6.55 12.55
2.61 3.48 4.47 5.99 11.28
2.52 3.33 4.24 5.64 10.48
2.46 3.22 4.07 5.39 9.93
2.41 3.14 3.95 5.20 9.52
2.38 3.07 3.85 5.06 9.20
2.35 3.02 3.78 4.94 8.96
11
.100 .050 .025 .010 .001
3.23 4.84 6.72 9.65 19.69
2.86 3.98 5.26 7.21 13.81
2.66 3.59 4.63 6.22 11.56
2.54 3.36 4.28 5.67 10.35
2.45 3.20 4.04 5.32 9.58
2.39 3.09 3.88 5.07 9.05
2.34 3.01 3.76 4.89 8.66
2.30 2.95 3.66 4.74 8.35
2.27 2.90 3.59 4.63 8.12
12
.100 .050 .025 .010 .001
3.18 4.75 6.55 9.33 18.64
2.81 3.89 5.10 6.93 12.97
2.61 3.49 4.47 5.95 10.80
2.48 3.26 4.12 5.41 9.63
2.39 3.11 3.89 5.06 8.89
2.33 3.00 3.73 4.82 8.38
2.28 2.91 3.61 4.64 8.00
2.24 2.85 3.51 4.50 7.71
2.21 2.80 3.44 4.39 7.48
13
.100 .050 .025 .010 .001
3.14 4.67 6.41 9.07 17.82
2.76 3.81 4.97 6.70 12.31
2.56 3.41 4.35 5.74 10.21
2.43 3.18 4.00 5.21 9.07
2.35 3.03 3.77 4.86 8.35
2.28 2.92 3.60 4.62 7.86
2.23 2.83 3.48 4.44 7.49
2.20 2.77 3.39 4.30 7.21
2.16 2.71 3.31 4.19 6.98
14
.100 .050 .025 .010 .001
3.10 4.60 6.30 8.86 17.14
2.73 3.74 4.86 6.51 11.78
2.52 3.34 4.24 5.56 9.73
2.39 3.11 3.89 5.04 8.62
2.31 2.96 3.66 4.69 7.92
2.24 2.85 3.50 4.46 7.44
2.19 2.76 3.38 4.28 7.08
2.15 2.70 3.29 4.14 6.80
2.12 2.65 3.21 4.03 6.58
15
.100 .050 .025 .010 .001
3.07 4.54 6.20 8.68 16.59
2.70 3.68 4.77 6.36 11.34
2.49 3.29 4.15 5.42 9.34
2.36 3.06 3.80 4.89 8.25
2.27 2.90 3.58 4.56 7.57
2.21 2.79 3.41 4.32 7.09
2.16 2.71 3.29 4.14 6.74
2.12 2.64 3.20 4.00 6.47
2.09 2.59 3.12 3.89 6.26
16
.100 .050 .025 .010 .001
3.05 4.49 6.12 8.53 16.12
2.67 3.63 4.69 6.23 10.97
2.46 3.24 4.08 5.29 9.01
2.33 3.01 3.73 4.77 7.94
2.24 2.85 3.50 4.44 7.27
2.18 2.74 3.34 4.20 6.80
2.13 2.66 3.22 4.03 6.46
2.09 2.59 3.12 3.89 6.19
2.06 2.54 3.05 3.78 5.98
17
.100 .050 .025 .010 .001
3.03 4.45 6.04 8.40 15.72
2.64 3.59 4.62 6.11 10.66
2.44 3.20 4.01 5.19 8.73
2.31 2.96 3.66 4.67 7.68
2.22 2.81 3.44 4.34 7.02
2.15 2.70 3.28 4.10 6.56
2.10 2.61 3.16 3.93 6.22
2.06 2.55 3.06 3.79 5.96
2.03 2.49 2.98 3.68 5.75
4
5
6
7
8
9
Tables
T-15 •
TABLE E F critical values (continued) Degrees of freedom in the numerator 10
12
15
20
25
2.54 3.35 4.30 5.81 11.54
2.50 3.28 4.20 5.67 11.19
2.46 3.22 4.10 5.52 10.84
2.42 3.15 4.00 5.36 10.48
2.40 3.11 3.94 5.26 10.26
2.42 3.14 3.96 5.26 9.89
2.38 3.07 3.87 5.11 9.57
2.34 3.01 3.77 4.96 9.24
2.30 2.94 3.67 4.81 8.90
2.32 2.98 3.72 4.85 8.75
2.28 2.91 3.62 4.71 8.45
2.24 2.85 3.52 4.56 8.13
2.25 2.85 3.53 4.54 7.92
2.21 2.79 3.43 4.40 7.63
2.19 2.75 3.37 4.30 7.29
30
40
50
60
120
1000
2.38 3.08 3.89 5.20 10.11
2.36 3.04 3.84 5.12 9.92
2.35 3.02 3.81 5.07 9.80
2.34 3.01 3.78 5.03 9.73
2.32 2.97 3.73 4.95 9.53
2.30 2.93 3.68 4.87 9.36
2.27 2.89 3.60 4.71 8.69
2.25 2.86 3.56 4.65 8.55
2.23 2.83 3.51 4.57 8.37
2.22 2.80 3.47 4.52 8.26
2.21 2.79 3.45 4.48 8.19
2.18 2.75 3.39 4.40 8.00
2.16 2.71 3.34 4.32 7.84
2.20 2.77 3.42 4.41 7.80
2.17 2.73 3.35 4.31 7.60
2.16 2.70 3.31 4.25 7.47
2.13 2.66 3.26 4.17 7.30
2.12 2.64 3.22 4.12 7.19
2.11 2.62 3.20 4.08 7.12
2.08 2.58 3.14 4.00 6.94
2.06 2.54 3.09 3.92 6.78
2.17 2.72 3.33 4.25 7.32
2.12 2.65 3.23 4.10 7.01
2.10 2.60 3.16 4.01 6.81
2.08 2.57 3.12 3.94 6.68
2.05 2.53 3.06 3.86 6.52
2.04 2.51 3.03 3.81 6.42
2.03 2.49 3.00 3.78 6.35
2.00 2.45 2.94 3.69 6.18
1.98 2.41 2.89 3.61 6.02
2.15 2.69 3.28 4.16 7.00
2.10 2.62 3.18 4.01 6.71
2.06 2.54 3.07 3.86 6.40
2.03 2.50 3.01 3.76 6.22
2.01 2.47 2.96 3.70 6.09
1.99 2.43 2.91 3.62 5.93
1.97 2.40 2.87 3.57 5.83
1.96 2.38 2.85 3.54 5.76
1.93 2.34 2.79 3.45 5.59
1.91 2.30 2.73 3.37 5.44
2.14 2.67 3.25 4.10 6.80
2.10 2.60 3.15 3.96 6.52
2.05 2.53 3.05 3.82 6.23
2.01 2.46 2.95 3.66 5.93
1.98 2.41 2.88 3.57 5.75
1.96 2.38 2.84 3.51 5.63
1.93 2.34 2.78 3.43 5.47
1.92 2.31 2.74 3.38 5.37
1.90 2.30 2.72 3.34 5.30
1.88 2.25 2.66 3.25 5.14
1.85 2.21 2.60 3.18 4.99
2.10 2.60 3.15 3.94 6.40
2.05 2.53 3.05 3.80 6.13
2.01 2.46 2.95 3.66 5.85
1.96 2.39 2.84 3.51 5.56
1.93 2.34 2.78 3.41 5.38
1.91 2.31 2.73 3.35 5.25
1.89 2.27 2.67 3.27 5.10
1.87 2.24 2.64 3.22 5.00
1.86 2.22 2.61 3.18 4.94
1.83 2.18 2.55 3.09 4.77
1.80 2.14 2.50 3.02 4.62
2.06 2.54 3.06 3.80 6.08
2.02 2.48 2.96 3.67 5.81
1.97 2.40 2.86 3.52 5.54
1.92 2.33 2.76 3.37 5.25
1.89 2.28 2.69 3.28 5.07
1.87 2.25 2.64 3.21 4.95
1.85 2.20 2.59 3.13 4.80
1.83 2.18 2.55 3.08 4.70
1.82 2.16 2.52 3.05 4.64
1.79 2.11 2.46 2.96 4.47
1.76 2.07 2.40 2.88 4.33
2.03 2.49 2.99 3.69 5.81
1.99 2.42 2.89 3.55 5.55
1.94 2.35 2.79 3.41 5.27
1.89 2.28 2.68 3.26 4.99
1.86 2.23 2.61 3.16 4.82
1.84 2.19 2.57 3.10 4.70
1.81 2.15 2.51 3.02 4.54
1.79 2.12 2.47 2.97 4.45
1.78 2.11 2.45 2.93 4.39
1.75 2.06 2.38 2.84 4.23
1.72 2.02 2.32 2.76 4.08
2.00 2.45 2.92 3.59 5.58
1.96 2.38 2.82 3.46 5.32
1.91 2.31 2.72 3.31 5.05
1.86 2.23 2.62 3.16 4.78
1.83 2.18 2.55 3.07 4.60
1.81 2.15 2.50 3.00 4.48
1.78 2.10 2.44 2.92 4.33
1.76 2.08 2.41 2.87 4.24
1.75 2.06 2.38 2.83 4.18
1.72 2.01 2.32 2.75 4.02
1.69 1.97 2.26 2.66 3.87
(Continued)
T-16
Tables •
TABLE E F critical values (continued)
Degrees of freedom in the denominator
Degrees of freedom in the numerator p
1
2
3
4
5
18
.100 .050 .025 .010 .001
3.01 4.41 5.98 8.29 15.38
2.62 3.55 4.56 6.01 10.39
2.42 3.16 3.95 5.09 8.49
2.29 2.93 3.61 4.58 7.46
2.20 2.77 3.38 4.25 6.81
2.13 2.66 3.22 4.01 6.35
2.08 2.58 3.10 3.84 6.02
2.04 2.51 3.01 3.71 5.76
2.00 2.46 2.93 3.60 5.56
19
.100 .050 .025 .010 .001
2.99 4.38 5.92 8.18 15.08
2.61 3.52 4.51 5.93 10.16
2.40 3.13 3.90 5.01 8.28
2.27 2.90 3.56 4.50 7.27
2.18 2.74 3.33 4.17 6.62
2.11 2.63 3.17 3.94 6.18
2.06 2.54 3.05 3.77 5.85
2.02 2.48 2.96 3.63 5.59
1.98 2.42 2.88 3.52 5.39
20
.100 .050 .025 .010 .001
2.97 4.35 5.87 8.10 14.82
2.59 3.49 4.46 5.85 9.95
2.38 3.10 3.86 4.94 8.10
2.25 2.87 3.51 4.43 7.10
2.16 2.71 3.29 4.10 6.46
2.09 2.60 3.13 3.87 6.02
2.04 2.51 3.01 3.70 5.69
2.00 2.45 2.91 3.56 5.44
1.96 2.39 2.84 3.46 5.24
21
.100 .050 .025 .010 .001
2.96 4.32 5.83 8.02 14.59
2.57 3.47 4.42 5.78 9.77
2.36 3.07 3.82 4.87 7.94
2.23 2.84 3.48 4.37 6.95
2.14 2.68 3.25 4.04 6.32
2.08 2.57 3.09 3.81 5.88
2.02 2.49 2.97 3.64 5.56
1.98 2.42 2.87 3.51 5.31
1.95 2.37 2.80 3.40 5.11
22
.100 .050 .025 .010 .001
2.95 4.30 5.79 7.95 14.38
2.56 3.44 4.38 5.72 9.61
2.35 3.05 3.78 4.82 7.80
2.22 2.82 3.44 4.31 6.81
2.13 2.66 3.22 3.99 6.19
2.06 2.55 3.05 3.76 5.76
2.01 2.46 2.93 3.59 5.44
1.97 2.40 2.84 3.45 5.19
1.93 2.34 2.76 3.35 4.99
23
.100 .050 .025 .010 .001
2.94 4.28 5.75 7.88 14.20
2.55 3.42 4.35 5.66 9.47
2.34 3.03 3.75 4.76 7.67
2.21 2.80 3.41 4.26 6.70
2.11 2.64 3.18 3.94 6.08
2.05 2.53 3.02 3.71 5.65
1.99 2.44 2.90 3.54 5.33
1.95 2.37 2.81 3.41 5.09
1.92 2.32 2.73 3.30 4.89
24
.100 .050 .025 .010 .001
2.93 4.26 5.72 7.82 14.03
2.54 3.40 4.32 5.61 9.34
2.33 3.01 3.72 4.72 7.55
2.19 2.78 3.38 4.22 6.59
2.10 2.62 3.15 3.90 5.98
2.04 2.51 2.99 3.67 5.55
1.98 2.42 2.87 3.50 5.23
1.94 2.36 2.78 3.36 4.99
1.91 2.30 2.70 3.26 4.80
25
.100 .050 .025 .010 .001
2.92 4.24 5.69 7.77 13.88
2.53 3.39 4.29 5.57 9.22
2.32 2.99 3.69 4.68 7.45
2.18 2.76 3.35 4.18 6.49
2.09 2.60 3.13 3.85 5.89
2.02 2.49 2.97 3.63 5.46
1.97 2.40 2.85 3.46 5.15
1.93 2.34 2.75 3.32 4.91
1.89 2.28 2.68 3.22 4.71
26
.100 .050 .025 .010 .001
2.91 4.23 5.66 7.72 13.74
2.52 3.37 4.27 5.53 9.12
2.31 2.98 3.67 4.64 7.36
2.17 2.74 3.33 4.14 6.41
2.08 2.59 3.10 3.82 5.80
2.01 2.47 2.94 3.59 5.38
1.96 2.39 2.82 3.42 5.07
1.92 2.32 2.73 3.29 4.83
1.88 2.27 2.65 3.18 4.64
27
.100 .050 .025 .010 .001
2.90 4.21 5.63 7.68 13.61
2.51 3.35 4.24 5.49 9.02
2.30 2.96 3.65 4.60 7.27
2.17 2.73 3.31 4.11 6.33
2.07 2.57 3.08 3.78 5.73
2.00 2.46 2.92 3.56 5.31
1.95 2.37 2.80 3.39 5.00
1.91 2.31 2.71 3.26 4.76
1.87 2.25 2.63 3.15 4.57
6
7
8
9
Tables
T-17 •
TABLE E F critical values (continued) Degrees of freedom in the numerator 10
12
15
20
25
30
40
50
60
120...