Difference between revisions of "Manuals/calci/FDIST"

FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)

• is the value of the function
• and are numbers of degrees of freedom.

Description

• This function gives the value of F probability distribution.
• This distribution is continuous probability distribution and it is called Fisher-Snedecor distribution.
• The F distribution is an asymmetric distribution that has a minimum value of 0, but no maximum value.
• In is the value of the function , is the numerator degrees of freedom and is the denominator degrees of freedom.
• This distribution is the ratio of two chi-square distributions with degrees of freedom r1 and r2, respectively, where each chi-square has first been divided by its degrees of freedom.
• The Probability density function of the F distribution is:

where is the Gamma Function.

• The gamma function is defined by .

When the value of DegreeOfFreedom1 and DegreeOfFreedom2 are not integers ,then it is converted in to integers.

• This function will give the result as error when
 1. any one of the argument is non-numeric.
2. Number is negative
3. If DegreeOfFreedom1<1  or DegreeOfFreedom2>10^{10} and  DegreeOfFreedom2<1 or DegreeOfFreedom2> 10^{10}


ZOS

• The syntax is to find FDIST in ZOS is .
• is the value of the function.
• For e.g.,FDIST(85.2,22,18)
• FDIST(67..70,6,8)

Examples

1. =FDIST(20.6587,7,3) = 0.01526530981
2. =FDIST(70.120045,12.2,6.35) = 0.000011229898
3. =FDIST(10,1.3,1.5) = 0.134947329626
4. =FDIST(-28,4,6) = NAN

F Distribution