F Distribution

This is a continuous distribution.


There is a whole family of F-distributions distinguished by two parameters v1 (numerator degress of freedom) and v2 (denominator degrees of freedom)
These two parameters have whole number values greater than or equal to 1.
A typical F distribution has a peak very near 1 and then a long tail to the right.




Examples

This type of distribution arises in relation to test statistics that are quotients of two variances.





Properties

right skewed and continuous
right tail
Defined on for F > 0
Family of distributions



Assumptions



Probability Distribution Graph





Cumulative Distribution Graph






Excel Functions

Returns the probability of getting "less than" or "equal to" a particular value in an F distribution.
F.DIST - (returns the left tail) The F probability distribution.


FDIST - returns the cumulative area to the right !!! Which equals 1 - F.DIST( , , , true)



F.INV - Returns the random variable where the probability of getting less than it is P.
F.INV - (2010 - FINV)



F.DIST.RT - (2010 - FDIST) (returns the right)



F.INV.RT - (right tail)





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