# Difference between revisions of "Manuals/calci/FDIST"

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<div style="font-size:30px">'''FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)'''</div><br/> | <div style="font-size:30px">'''FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)'''</div><br/> | ||

*<math>Number</math> is the value of the function | *<math>Number</math> is the value of the function | ||

− | *<math>DegreeOfFreedom1</math> and <math> | + | *<math>DegreeOfFreedom1</math> and <math>DegreeOfFreedom2</math> are numbers of degrees of freedom. |

==Description== | ==Description== | ||

Line 16: | Line 16: | ||

*This function will give the result as error when | *This function will give the result as error when | ||

1. any one of the argument is non-numeric. | 1. any one of the argument is non-numeric. | ||

− | 2. | + | 2. Number is negative |

− | 3. < | + | 3. If DegreeOfFreedom1<1 or DegreeOfFreedom2>10^{10} and DegreeOfFreedom2<1 or DegreeOfFreedom2> 10^{10} |

==ZOS== | ==ZOS== |

## Revision as of 14:55, 14 June 2018

**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

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

## Related Videos

## See Also

## References