F Distribution for the Probability Distribution Calculator
- Density Function
- The F distribution (for x > 0) has the probability density function (for n = 1, 2, ...; w = 1, 2, ...):
f(x) = [G{(n+w)/2}]/[G(n/2)G(w/2)] * (n/w)(n/2) * x[(n/2)-1] * {1+[(n/w)*x]}[-(n+w)/2]
where
- F
- This field displays the current variate value for the F distribution. When you edit this value (either manually or with the microscrolls), Statistica computes the associated p-value for the specified degrees of freedom.
- p
- This field displays the p-value computed from the specified variate value and degrees of freedom or you can enter a desired p-value (either manually or edit the existing value with the microscrolls) and compute the critical value of the distribution for the specified degrees of freedom.
- df1, df2
- Specify here the shape parameters of the distribution, n and w, respectively. If one or both of these parameters are changed, then the p-value will be recomputed based on the respective variate value.
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