Difference between revisions of "Manuals/calci/FDIST"
Jump to navigation
Jump to search
(13 intermediate revisions by 4 users not shown) | |||
Line 1: | Line 1: | ||
− | <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>DegreeOfFreedom2</math> are numbers of degrees of freedom. |
+ | **FDIST(), returns the F probability distribution. | ||
==Description== | ==Description== | ||
Line 7: | Line 8: | ||
*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: | ||
Line 13: | Line 14: | ||
<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 | + | 1. any one of the argument is non-numeric. |
− | 2. | + | 2. Number is negative |
− | 3. | + | 3. If DegreeOfFreedom1<1 or DegreeOfFreedom2><math>10^{10}</math> and DegreeOfFreedom2<1 or DegreeOfFreedom2> <math>10^{10}</math> |
+ | |||
+ | ==ZOS== | ||
+ | |||
+ | *The syntax is to find FDIST in ZOS is <math>FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)</math>. | ||
+ | **<math>Number</math> is the value of the function. | ||
+ | *For e.g.,FDIST(85.2,22,18) | ||
+ | *FDIST(67..70,6,8) | ||
==Examples== | ==Examples== | ||
− | #FDIST(20.6587,7,3)=0.01526530981 | + | #=FDIST(20.6587,7,3) = 0.01526530981 |
− | #FDIST(70.120045,12.2,6.35)=0.000011229898 | + | #=FDIST(70.120045,12.2,6.35) = 0.000011229898 |
− | #FDIST(10,1.3,1.5)=0. | + | #=FDIST(10,1.3,1.5) = 0.12923064798773362 |
− | #FDIST(-28,4,6)= | + | #=FDIST(-28,4,6) = #N/A (NUMBER > 0) |
+ | ==Related Videos== | ||
+ | {{#ev:youtube|7rGAh_XDvY8|280|center|F Distribution}} | ||
==See Also== | ==See Also== | ||
*[[Manuals/calci/FINV | FINV ]] | *[[Manuals/calci/FINV | FINV ]] | ||
− | *[[Manuals/calci/FTEST | FTEST ]] | + | *[[Manuals/calci/FTEST | FTEST ]] |
+ | |||
+ | ==References== | ||
+ | [http://en.wikipedia.org/wiki/F-distribution F-Distribution] | ||
− | + | *[[Z_API_Functions | List of Main Z Functions]] | |
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 10:10, 2 June 2020
FDIST (Number,DegreeOfFreedom1,DegreeOfFreedom2)
- is the value of the function
- and are numbers of degrees of freedom.
- FDIST(), returns the F probability distribution.
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> and DegreeOfFreedom2<1 or DegreeOfFreedom2>
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) = 0.12923064798773362
- =FDIST(-28,4,6) = #N/A (NUMBER > 0)
Related Videos
See Also
References