mf: Mean and Variance of the F Distribution
In AndriSignorell/DescTools: Tools for Descriptive Statistics
mf R Documentation
Mean and Variance of the F Distribution
Description
The F distribution with df1 = n_1 and df2 =
n_2 degrees of freedom has mean and variance:
\mu = \frac{n_2}{n_2 - 2} \quad (n_2 > 2)
\mathrm{Var}(X) = \frac{2 n_2^2 (n_1 + n_2 - 2)}{n_1 (n_2 - 2)^2 (n_2 - 4)} \quad (n_2 > 4)
Usage
mf(df1, df2)
Arguments
df1
Numerator degrees of freedom
df2
Denominator degrees of freedom
Value
List with mean and variance
References
Hogg, R.V., McKean, J., and Craig, A.T. (2018). Introduction to Mathematical Statistics. Pearson.
See Also
df
Examples
mf(df1 = 5, df2 = 10)
AndriSignorell/DescTools documentation built on June 11, 2025, 10:41 p.m.
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| mf | R Documentation |
Mean and Variance of the F Distribution
Description
The F distribution with df1 = n_1 and df2 =
n_2 degrees of freedom has mean and variance:
\mu = \frac{n_2}{n_2 - 2} \quad (n_2 > 2)
\mathrm{Var}(X) = \frac{2 n_2^2 (n_1 + n_2 - 2)}{n_1 (n_2 - 2)^2 (n_2 - 4)} \quad (n_2 > 4)
Usage
mf(df1, df2)
Arguments
df1 |
Numerator degrees of freedom |
df2 |
Denominator degrees of freedom |
Value
List with mean and variance
References
Hogg, R.V., McKean, J., and Craig, A.T. (2018). Introduction to Mathematical Statistics. Pearson.
See Also
df
Examples
mf(df1 = 5, df2 = 10)
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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