Introductory Biostatistics

(Chris Devlin) #1

APPENDIX E: PERCENTILES OF THEFDISTRIBUTION


Entries in the table giveFavalues, whereais the area or probability in the
upper tail of theFdistribution. For example, with 3 numerator degrees of
freedom, 20 denominator degrees of freedom, and a 0.01 area in the upper tail,
F 0 : 01 ¼ 4 : 94 :at df¼ð 3 ; 20 Þ.


Denominator (Numerator Degrees of Freedom, Area in Upper Tail)
Degrees of
Freedom ð 2 ;: 05 Þð 2 ;: 01 Þð 3 ;: 05 Þð 3 ;: 01 Þð 4 ;: 05 Þð 4 ;: 01 Þð 5 ;: 05 Þð 5 ;: 01 Þ


5 5.79 13.27 5.41 12.06 5.19 11.39 4.82 10.97
6 5.14 10.92 4.76 9.78 4.53 9.15 4.39 8.75
7 4.74 9.55 4.35 8.45 4.12 7.85 3.97 7.46
8 4.46 8.65 4.07 7.59 3.84 7.01 3.69 6.63
9 4.26 8.02 3.86 6.99 3.63 6.42 3.48 6.06
10 4.10 7.56 3.71 6.55 3.48 5.99 3.33 5.64
11 3.98 7.21 3.59 6.22 3.36 5.67 3.20 5.32
12 3.89 6.93 3.49 5.95 3.26 5.41 3.11 5.06
13 3.81 6.70 3.41 5.74 3.18 5.21 3.03 4.86
14 3.74 6.51 3.34 5.56 3.11 5.24 2.96 4.69
15 3.68 6.36 3.29 5.42 3.06 4.89 2.90 4.56
16 3.63 6.23 3.24 5.29 3.01 4.77 2.85 4.44
17 3.59 6.11 3.20 5.18 2.96 4.67 2.81 4.34
18 3.55 6.01 3.16 5.09 2.93 4.58 2.77 4.25
19 3.52 5.93 3.13 5.01 2.90 4.50 2.74 4.17
20 3.49 5.85 3.10 4.94 2.87 4.43 2.71 4.10
21 3.47 5.78 3.07 4.87 2.84 4.37 2.68 4.04
22 3.44 5.72 3.05 4.82 2.82 4.31 2.66 3.99
23 3.42 5.66 3.03 4.76 2.80 4.26 2.64 3.94
24 3.40 5.61 3.01 4.72 2.78 4.22 2.62 3.90
25 3.39 5.57 2.99 4.68 2.76 4.18 2.60 3.85
26 3.37 5.53 2.98 4.64 2.74 4.14 2.59 3.82
27 3.35 5.49 2.96 4.60 2.73 4.11 2.57 3.78
28 3.34 5.45 2.95 4.57 2.71 4.07 2.56 3.75
29 3.33 5.42 2.93 4.54 2.70 4.04 2.55 3.73
30 3.32 5.39 2.92 4.51 2.69 4.02 2.53 3.70
35 3.27 5.27 2.87 4.40 2.64 3.91 2.49 3.59
40 3.23 5.18 2.84 4.31 2.61 3.83 2.45 3.51
50 3.18 5.06 2.79 4.20 2.56 3.72 2.40 3.41
60 3.15 4.98 2.76 4.13 2.53 3.65 2.37 3.34
80 3.11 4.88 2.72 4.04 2.49 3.56 2.33 3.26
100 3.09 4.82 2.70 3.98 2.46 3.51 2.31 3.21
120 3.07 4.79 2.68 3.95 2.45 3.48 2.29 3.17
y 3.00 4.61 2.60 3.78 2.37 3.32 2.21 3.02


APPENDIX E 497
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