13.12: The F-Distribution Table for Alpha = 0.025

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    The F-Distribution Table for Alpha = 0.025

    • The first row is the degrees of freedom of the numerator = n1 – 1
    • The first column is the degrees of freedom of the numerator = n2 – 1.
    Degrees of Freedom of the Numerator
    Degrees of Freedom of the Denominator 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 24 30 40 50 60
    1 648 800 864 900 922 937 948 957 963 969 973 977 980 983 985 993 997 1001 1006 1008 1010
    2 38.51 39.00 39.17 39.25 39.30 39.33 39.36 39.37 39.39 39.40 39.41 39.41 39.42 39.43 39.43 39.45 39.46 39.46 39.47 39.48 39.48
    3 17.44 16.04 15.44 15.10 14.88 14.73 14.62 14.54 14.47 14.42 14.37 14.34 14.30 14.28 14.25 14.17 14.12 14.08 14.04 14.01 13.99
    4 12.22 10.65 9.98 9.60 9.36 9.20 9.07 8.98 8.90 8.84 8.79 8.75 8.71 8.68 8.66 8.56 8.51 8.46 8.41 8.38 8.36
    5 10.01 8.43 7.76 7.39 7.15 6.98 6.85 6.76 6.68 6.62 6.57 6.52 6.49 6.46 6.43 6.33 6.28 6.23 6.18 6.14 6.12
    6 8.81 7.26 6.60 6.23 5.99 5.82 5.70 5.60 5.52 5.46 5.41 5.37 5.33 5.30 5.27 5.17 5.12 5.07 5.01 4.98 4.96
    7 8.07 6.54 5.89 5.52 5.29 5.12 4.99 4.90 4.82 4.76 4.71 4.67 4.63 4.60 4.57 4.47 4.41 4.36 4.31 4.28 4.25
    8 7.57 6.06 5.42 5.05 4.82 4.65 4.53 4.43 4.36 4.30 4.24 4.20 4.16 4.13 4.10 4.00 3.95 3.89 3.84 3.81 3.78
    9 7.21 5.71 5.08 4.72 4.48 4.32 4.20 4.10 4.03 3.96 3.91 3.87 3.83 3.80 3.77 3.67 3.61 3.56 3.51 3.47 3.45
    10 6.94 5.46 4.83 4.47 4.24 4.07 3.95 3.85 3.78 3.72 3.66 3.62 3.58 3.55 3.52 3.42 3.37 3.31 3.26 3.22 3.20
    11 6.72 5.26 4.63 4.28 4.04 3.88 3.76 3.66 3.59 3.53 3.47 3.43 3.39 3.36 3.33 3.23 3.17 3.12 3.06 3.03 3.00
    12 6.55 5.10 4.47 4.12 3.89 3.73 3.61 3.51 3.44 3.37 3.32 3.28 3.24 3.21 3.18 3.07 3.02 2.96 2.91 2.87 2.85
    13 6.41 4.97 4.35 4.00 3.77 3.60 3.48 3.39 3.31 3.25 3.20 3.15 3.12 3.08 3.05 2.95 2.89 2.84 2.78 2.74 2.72
    14 6.30 4.86 4.24 3.89 3.66 3.50 3.38 3.29 3.21 3.15 3.09 3.05 3.01 2.98 2.95 2.84 2.79 2.73 2.67 2.64 2.61
    15 6.20 4.77 4.15 3.80 3.58 3.41 3.29 3.20 3.12 3.06 3.01 2.96 2.92 2.89 2.86 2.76 2.70 2.64 2.59 2.55 2.52
    16 6.12 4.69 4.08 3.73 3.50 3.34 3.22 3.12 3.05 2.99 2.93 2.89 2.85 2.82 2.79 2.68 2.63 2.57 2.51 2.47 2.45
    17 6.04 4.62 4.01 3.66 3.44 3.28 3.16 3.06 2.98 2.92 2.87 2.82 2.79 2.75 2.72 2.62 2.56 2.50 2.44 2.41 2.38
    18 5.98 4.56 3.95 3.61 3.38 3.22 3.10 3.01 2.93 2.87 2.81 2.77 2.73 2.70 2.67 2.56 2.50 2.44 2.38 2.35 2.32
    19 5.92 4.51 3.90 3.56 3.33 3.17 3.05 2.96 2.88 2.82 2.76 2.72 2.68 2.65 2.62 2.51 2.45 2.39 2.33 2.30 2.27
    20 5.87 4.46 3.86 3.51 3.29 3.13 3.01 2.91 2.84 2.77 2.72 2.68 2.64 2.60 2.57 2.46 2.41 2.35 2.29 2.25 2.22
    21 5.83 4.42 3.82 3.48 3.25 3.09 2.97 2.87 2.80 2.73 2.68 2.64 2.60 2.56 2.53 2.42 2.37 2.31 2.25 2.21 2.18
    22 5.79 4.38 3.78 3.44 3.22 3.05 2.93 2.84 2.76 2.70 2.65 2.60 2.56 2.53 2.50 2.39 2.33 2.27 2.21 2.17 2.14
    23 5.75 4.35 3.75 3.41 3.18 3.02 2.90 2.81 2.73 2.67 2.62 2.57 2.53 2.50 2.47 2.36 2.30 2.24 2.18 2.14 2.11
    24 5.72 4.32 3.72 3.38 3.15 2.99 2.87 2.78 2.70 2.64 2.59 2.54 2.50 2.47 2.44 2.33 2.27 2.21 2.15 2.11 2.08
    25 5.69 4.29 3.69 3.35 3.13 2.97 2.85 2.75 2.68 2.61 2.56 2.51 2.48 2.44 2.41 2.30 2.24 2.18 2.12 2.08 2.05
    26 5.66 4.27 3.67 3.33 3.10 2.94 2.82 2.73 2.65 2.59 2.54 2.49 2.45 2.42 2.39 2.28 2.22 2.16 2.09 2.05 2.03
    27 5.63 4.24 3.65 3.31 3.08 2.92 2.80 2.71 2.63 2.57 2.51 2.47 2.43 2.39 2.36 2.25 2.19 2.13 2.07 2.03 2.00
    28 5.61 4.22 3.63 3.29 3.06 2.90 2.78 2.69 2.61 2.55 2.49 2.45 2.41 2.37 2.34 2.23 2.17 2.11 2.05 2.01 1.98
    29 5.59 4.20 3.61 3.27 3.04 2.88 2.76 2.67 2.59 2.53 2.48 2.43 2.39 2.36 2.32 2.21 2.15 2.09 2.03 1.99 1.96
    30 5.57 4.18 3.59 3.25 3.03 2.87 2.75 2.65 2.57 2.51 2.46 2.41 2.37 2.34 2.31 2.20 2.14 2.07 2.01 1.97 1.94
    40 5.42 4.05 3.46 3.13 2.90 2.74 2.62 2.53 2.45 2.39 2.33 2.29 2.25 2.21 2.18 2.07 2.01 1.94 1.88 1.83 1.80
    50 5.34 3.97 3.39 3.05 2.83 2.67 2.55 2.46 2.38 2.32 2.26 2.22 2.18 2.14 2.11 1.99 1.93 1.87 1.80 1.75 1.72
    60 5.29 3.93 3.34 3.01 2.79 2.63 2.51 2.41 2.33 2.27 2.22 2.17 2.13 2.09 2.06 1.94 1.88 1.82 1.74 1.70 1.67

    Table \(\PageIndex{1}\): The F-Distribution Table for α = 0.025

    This page titled 13.12: The F-Distribution Table for Alpha = 0.025 was last modified on Wed, 20 Aug 2025 23:55:23 GMT and is shared under a Public Domain license and was authored, remixed, and/or curated by Toros Berberyan, Tracy Nguyen, and Alfie Swan.