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

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

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

− | *<math> | + | *<math>DegreeOfFreedom1</math> and <math>DegreeOfFreedom21</math> are numbers of degrees of freedom. |

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

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*This distribution is continuous probability distribution and it is called Fisher-Snedecor 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. | *The F distribution is an asymmetric distribution that has a minimum value of 0, but no maximum value. | ||

− | *In <math>FDIST( | + | *In <math>FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2), Number </math> is the value of the function ,<math>DegreeOfFreedom1</math> is the numerator degrees of freedom and <math>DegreeOfFreedom2</math> 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. | *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: | *The Probability density function of the F distribution is: | ||

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<math>0<x<\infty</math> where <math>\Gamma</math> is the Gamma Function. | <math>0<x<\infty</math> where <math>\Gamma</math> is the Gamma Function. | ||

*The gamma function is defined by <math>\Gamma(t) = \int\limits_{0}^{\infty} x^{t-1} e^{-x} dx</math>. | *The gamma function is defined by <math>\Gamma(t) = \int\limits_{0}^{\infty} x^{t-1} e^{-x} dx</math>. | ||

− | When the value of | + | 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 | *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. <math> | + | 2. <math>Number</math> is negative |

− | 3. <math> | + | 3. <math>DegreeOfFreedom11</math> or <math>DegreeOfFreedom2<1</math> and <math>DegreeOfFreedom1</math> or <math>DegreeOfFreedom2\ge 10^{10}</math> |

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

## Revision as of 14:49, 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. is negative 3. or and or

## 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