Skip to main content
Statistics LibreTexts

13.14: The F-Distribution Table for Alpha = 0.10

  • Page ID
    58337
  • \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \( \newcommand{\dsum}{\displaystyle\sum\limits} \)

    \( \newcommand{\dint}{\displaystyle\int\limits} \)

    \( \newcommand{\dlim}{\displaystyle\lim\limits} \)

    \( \newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\)

    ( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\id}{\mathrm{id}}\)

    \( \newcommand{\Span}{\mathrm{span}}\)

    \( \newcommand{\kernel}{\mathrm{null}\,}\)

    \( \newcommand{\range}{\mathrm{range}\,}\)

    \( \newcommand{\RealPart}{\mathrm{Re}}\)

    \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\)

    \( \newcommand{\Argument}{\mathrm{Arg}}\)

    \( \newcommand{\norm}[1]{\| #1 \|}\)

    \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\)

    \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    \( \newcommand{\vectorA}[1]{\vec{#1}}      % arrow\)

    \( \newcommand{\vectorAt}[1]{\vec{\text{#1}}}      % arrow\)

    \( \newcommand{\vectorB}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \( \newcommand{\vectorC}[1]{\textbf{#1}} \)

    \( \newcommand{\vectorD}[1]{\overrightarrow{#1}} \)

    \( \newcommand{\vectorDt}[1]{\overrightarrow{\text{#1}}} \)

    \( \newcommand{\vectE}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash{\mathbf {#1}}}} \)

    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \)

    \(\newcommand{\longvect}{\overrightarrow}\)

    \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)

    \(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)

    The F-Distribution Table for Alpha = 0.10

    • 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
    The 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 39.86 49.50 53.59 55.83 57.24 58.20 58.91 59.44 59.86 60.19 60.47 60.71 60.90 61.07 61.22 61.74 62.00 62.26 62.53 62.69 62.79
    2 8.53 9.00 9.16 9.24 9.29 9.33 9.35 9.37 9.38 9.39 9.40 9.41 9.41 9.42 9.42 9.44 9.45 9.46 9.47 9.47 9.47
    3 5.54 5.46 5.39 5.34 5.31 5.28 5.27 5.25 5.24 5.23 5.22 5.22 5.21 5.20 5.20 5.18 5.18 5.17 5.16 5.15 5.15
    4 4.54 4.32 4.19 4.11 4.05 4.01 3.98 3.95 3.94 3.92 3.91 3.90 3.89 3.88 3.87 3.84 3.83 3.82 3.80 3.80 3.79
    5 4.06 3.78 3.62 3.52 3.45 3.40 3.37 3.34 3.32 3.30 3.28 3.27 3.26 3.25 3.24 3.21 3.19 3.17 3.16 3.15 3.14
    6 3.78 3.46 3.29 3.18 3.11 3.05 3.01 2.98 2.96 2.94 2.92 2.90 2.89 2.88 2.87 2.84 2.82 2.80 2.78 2.77 2.76
    7 3.59 3.26 3.07 2.96 2.88 2.83 2.78 2.75 2.72 2.70 2.68 2.67 2.65 2.64 2.63 2.59 2.58 2.56 2.54 2.52 2.51
    8 3.46 3.11 2.92 2.81 2.73 2.67 2.62 2.59 2.56 2.54 2.52 2.50 2.49 2.48 2.46 2.42 2.40 2.38 2.36 2.35 2.34
    9 3.36 3.01 2.81 2.69 2.61 2.55 2.51 2.47 2.44 2.42 2.40 2.38 2.36 2.35 2.34 2.30 2.28 2.25 2.23 2.22 2.21
    10 3.29 2.92 2.73 2.61 2.52 2.46 2.41 2.38 2.35 2.32 2.30 2.28 2.27 2.26 2.24 2.20 2.18 2.16 2.13 2.12 2.11
    11 3.23 2.86 2.66 2.54 2.45 2.39 2.34 2.30 2.27 2.25 2.23 2.21 2.19 2.18 2.17 2.12 2.10 2.08 2.05 2.04 2.03
    12 3.18 2.81 2.61 2.48 2.39 2.33 2.28 2.24 2.21 2.19 2.17 2.15 2.13 2.12 2.10 2.06 2.04 2.01 1.99 1.97 1.96
    13 3.14 2.76 2.56 2.43 2.35 2.28 2.23 2.20 2.16 2.14 2.12 2.10 2.08 2.07 2.05 2.01 1.98 1.96 1.93 1.92 1.90
    14 3.10 2.73 2.52 2.39 2.31 2.24 2.19 2.15 2.12 2.10 2.07 2.05 2.04 2.02 2.01 1.96 1.94 1.91 1.89 1.87 1.86
    15 3.07 2.70 2.49 2.36 2.27 2.21 2.16 2.12 2.09 2.06 2.04 2.02 2.00 1.99 1.97 1.92 1.90 1.87 1.85 1.83 1.82
    16 3.05 2.67 2.46 2.33 2.24 2.18 2.13 2.09 2.06 2.03 2.01 1.99 1.97 1.95 1.94 1.89 1.87 1.84 1.81 1.79 1.78
    17 3.03 2.64 2.44 2.31 2.22 2.15 2.10 2.06 2.03 2.00 1.98 1.96 1.94 1.93 1.91 1.86 1.84 1.81 1.78 1.76 1.75
    18 3.01 2.62 2.42 2.29 2.20 2.13 2.08 2.04 2.00 1.98 1.95 1.93 1.92 1.90 1.89 1.84 1.81 1.78 1.75 1.74 1.72
    19 2.99 2.61 2.40 2.27 2.18 2.11 2.06 2.02 1.98 1.96 1.93 1.91 1.89 1.88 1.86 1.81 1.79 1.76 1.73 1.71 1.70
    20 2.97 2.59 2.38 2.25 2.16 2.09 2.04 2.00 1.96 1.94 1.91 1.89 1.87 1.86 1.84 1.79 1.77 1.74 1.71 1.69 1.68
    21 2.96 2.57 2.36 2.23 2.14 2.08 2.02 1.98 1.95 1.92 1.90 1.87 1.86 1.84 1.83 1.78 1.75 1.72 1.69 1.67 1.66
    22 2.95 2.56 2.35 2.22 2.13 2.06 2.01 1.97 1.93 1.90 1.88 1.86 1.84 1.83 1.81 1.76 1.73 1.70 1.67 1.65 1.64
    23 2.94 2.55 2.34 2.21 2.11 2.05 1.99 1.95 1.92 1.89 1.87 1.84 1.83 1.81 1.80 1.74 1.72 1.69 1.66 1.64 1.62
    24 2.93 2.54 2.33 2.19 2.10 2.04 1.98 1.94 1.91 1.88 1.85 1.83 1.81 1.80 1.78 1.73 1.70 1.67 1.64 1.62 1.61
    25 2.92 2.53 2.32 2.18 2.09 2.02 1.97 1.93 1.89 1.87 1.84 1.82 1.80 1.79 1.77 1.72 1.69 1.66 1.63 1.61 1.59
    26 2.91 2.52 2.31 2.17 2.08 2.01 1.96 1.92 1.88 1.86 1.83 1.81 1.79 1.77 1.76 1.71 1.68 1.65 1.61 1.59 1.58
    27 2.90 2.51 2.30 2.17 2.07 2.00 1.95 1.91 1.87 1.85 1.82 1.80 1.78 1.76 1.75 1.70 1.67 1.64 1.60 1.58 1.57
    28 2.89 2.50 2.29 2.16 2.06 2.00 1.94 1.90 1.87 1.84 1.81 1.79 1.77 1.75 1.74 1.69 1.66 1.63 1.59 1.57 1.56
    29 2.89 2.50 2.28 2.15 2.06 1.99 1.93 1.89 1.86 1.83 1.80 1.78 1.76 1.75 1.73 1.68 1.65 1.62 1.58 1.56 1.55
    30 2.88 2.49 2.28 2.14 2.05 1.98 1.93 1.88 1.85 1.82 1.79 1.77 1.75 1.74 1.72 1.67 1.64 1.61 1.57 1.55 1.54
    40 2.84 2.44 2.23 2.09 2.00 1.93 1.87 1.83 1.79 1.76 1.74 1.71 1.70 1.68 1.66 1.61 1.57 1.54 1.51 1.48 1.47
    50 2.81 2.41 2.20 2.06 1.97 1.90 1.84 1.80 1.76 1.73 1.70 1.68 1.66 1.64 1.63 1.57 1.54 1.50 1.46 1.44 1.42
    60 2.79 2.39 2.18 2.04 1.95 1.87 1.82 1.77 1.74 1.71 1.68 1.66 1.64 1.62 1.60 1.54 1.51 1.48 1.44 1.41 1.40

    Table \(\PageIndex{1}\): The F-Distribution Table for α = 0.10


    This page titled 13.14: The F-Distribution Table for Alpha = 0.10 is shared under a Public Domain license and was authored, remixed, and/or curated by Toros Berberyan, Tracy Nguyen, and Alfie Swan.