F Distribution Calculator (Fisher-Snedecor)

F-Fisher-Snedecor Distribution

F (Fisher Snedecor) distribution is used for a normally distributed population.

Let Z1, Z2,....Zn be independent standard random variables.
Let X1 = [Z12 + Z22 +....+ Zn2].

Let Z'1, Z'2,....Z'n be independent standard random variables.
Let X2 = [Z'12 + Z'22 +....+ Z'm2].

Let X = (X1/n) / (x2/m).

X distribute as F random variable with n degrees of freedom (numerator) and m degrees of freedom (denominator)

X1 distribute as a chi-square random variable with n degrees of freedom.
X2 distribute as a chi-square random variable with m degrees of freedom.

Example of use: ANOVA test, F test for variances comparison.

Calculation

Enter input data and then press "Calculate" button to get the results

n: numerator degrees of freedom
m: denominatior degrees of freedom
choose X or P(x≤X)
chi-squred Distribution

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