STATISTICAL TABLES 229Table AS The F Distribution".bcuzx~i 1 2 3 4 5 6 7 8 9 10 11 12
1 2 3 4 5 6 7 8 910.025
.95
,975
.99
,025
.95
,975
.99
.025
.95
,975
.99
.025
.95
.975
.99
.025
.95
,975
.99
,025
.95
,975
.99
.025
.95
.975
.99
.025
.95
,975
.99
.025
.95
,975
.99
,025
.95
.975
.99.0215 ,026
161 200
648 800
405l 5001
.0213 ,026
18.5 19.0
38.5 39.0
98.5 99.0
.0212 ,026
10.1 9.55
17.4 16.0
34.1 30.8
.0211 ,026
7.71 6.94
12.2 10.6
21.2 18.0
.0211 ,025
6.61 5.79
10.0 8.43
16.3 13.3
.0211 ,025
5.99 5.14
8.81 7.26
13.7 10.9
.0210 ,025
5.59 4.74
8.07 6.54
12.2 9.55
.0210 ,025
5.32 4.46
7.57 6.06
11.3 8.65
.0210 .025
5.12 4.26
7.21 5.71
10.6 8.02
.0210 ,025
4.96 4.10
6.94 5.46
10.0 7.56,057
216
864
5401
,062
19.2
39.2
99.2
.065
9.28
15.4
29.5
,066
6.59
9.98
16.7
.067
5.41
7.76
12.1
,068
4.76
6.60
9.78
,068
4.35
5.89
8.45
,069
4.07
5.42
7.59
.069
3.86
5.08
6.99
.069
3.71
4.83
6.55,082
225
900
562l
.094
19.2
39.2
99.2
.loo
9.12
15.1
28.7
.lo4
6.39
9.60
16.0
,107
5.19
7.39
11.4
,109
4.53
6.23
9.15
.110
4.12
5.52
7.85
,111
3.84
5.05
7.01
.112
3.63
4.72
6.42
.113
3.48
4.47
5.99,100
230
922
576l
,119
19.3
39.3
99.3
,129
9.01
14.9
28.2
,135
6.26
9.36
15.5
,140
5.05
7.15
11.0
,143
4.39
5.99
8.75
,146
3.97
5.29
7.46
,148
3.69
4.82
6.63
.150
3.48
4.48
6.06
,151
3.33
4.24
5.64,113
234
937
586l
,138
19.3
39.3
99.3
.152
8.94
14.7
27.9
,161
6.16
9.20
15.2
,167
4.95
6.98
10.7
,172
4.28
5.82
8.47
,176
3.87
5.12
7.19
,179
3.58
4.65
6.37
.181
3.37
4.32
5.80
,183
3.22
4.07
5.39,124
237
948,153
19.4
39.4
99.4
,170
8.89
14.6
27.7
,181
6.09
9.07
15.0
,189
4.88
6.85
10.5
,195
4.21
5.70
8.26
,200
3.79
4.99
6.99
,204
3.50
4.53
6.18
.207
3.29
4.20
5.61
.210
3.14
3.95
5.20593l,132
239
957
598l
,165
19.4
39.4
99.4
.185
8.85
14.5
27.5
,198
6.04
8.98
14.8
,208
4.82
6.76
10.3
,215
4.15
5.60
8.10
.221
3.73
4.90
6.84
,226
3.44
4.43
6.03
.230
3.23
4.10
5.47
.233
3.07
3.85
5.06,139
24 1
963
602'
,175
19.4
39.4
99.4
.197
8.81
14.5
27.3
,212
6.00
8.90
14.7
,223
4.77
6.68
10.2
.23 1
4.10
5.52
7.98
.238
3.68
4.82
6.72
,244
3.39
4.36
5.91
,248
3.18
4.03
5.35
.252
3.02
3.78
4.94,144
242
969
606'
,183
19.4
39.4
99.4
.20?
8.79
14.4
27.2
,224
5.96
8.84
14.5
,236
4.74
6.62
10.1
,246
4.06
5.46
7.87
.253
3.64
4.76
6.62
,259
3.35
4.30
5.81
,265
3.14
3.96
5.26
.269
2.98
3.72
4.85,149
243
973
608'
,190
19.4
39.4
99.4
.216
8.76
14.4
27.1
,234
5.94
8.79
14.4
.248
4.7 1
6.57
9.96
,258
4.03
5.41
7.79
,266
3.60
4.71
6.54
,273
3.31
4.24
5.73
,279
3.10
3.91
5.18
.283
2.94
3.66
4.77,153
244
977
611'
.196
19.4
39.4
99.4
,224
8.74
14.3
27.1
.243
5.91
8.75
14.4
.257
4.68
6.52
9.89
,268
4.00
5.37
7.72
,277
3.57
4.67
6.47
.285
3.28
4.20
5.67
,291
3.07
3.87
5.11
,296
2.91
3.62
4.71
Reproduced from Wilfred J. Dixon and Frank J. Massey Jr., Introduction to Statistical Analysis, 3rd ed.,
McGraw-Hill, 1969 with permission of McGraw-Hill Book Companies.
a X = Area under curve from 0 to F[X]. To obtain F[.05] and F[.01] for degrees of freedom u1 and ~2,
use 1/F[.95] and 1/F[.99], respectively, with degrees of freedom u2 and v1.
Notation: 5933 = 593~10~; 0211 = .11~10-~
ui is the d.f. for the first variance and v2 is the d.f. for the second variance.
(Table continued on following pages)