Difference between revisions of "Manuals/calci/FDIST"
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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''FDIST'''('''x''', '''DF1''', '''DF2''') '''Where X''' is the value at which to evaluate the function, '''DF...") |
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− | <div | + | <div style="font-size:30px">'''FDIST(x,df1,df2)'''</div><br/> |
+ | *<math>x</math> is the value of the function | ||
+ | *<math>df1</math> and <math>df1</math> is 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 <math>FDIST(x,df1,df2), x </math> is the value of the function ,<math>df1</math> is the numerator degrees of freedom and <math>df2</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. | ||
+ | *The Probability density function of the F distribution is: | ||
+ | <math>f(x,r1,r2)=Γ[(r1+r2)/2](r1/r2)^r1/2*(x)r1/2-1/ Γ(r1/2)Γ(r2/2)(1+r1x/r2)^(r1+r2)/2, 0<x<\infty</math> where Γ is the gamma function. | ||
+ | *The gamma function is defined by Gamma(t) = integral 0 to infinity x^{t-1} e^{-x} dx. | ||
+ | When the value of df1 and df2 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 nonnumeric. | ||
+ | 2.x is negative | ||
+ | 3. df1 or df2<1 ,and df1 ordf2>=10^10 | ||
− | |||
− | + | ==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 | ||
− | |||
− | + | ==See Also== | |
− | + | *[[Manuals/calci/FINV | FINV ]] | |
− | + | *[[Manuals/calci/FTEST | FTEST ]] | |
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− | + | ==References== | |
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Revision as of 04:23, 7 January 2014
FDIST(x,df1,df2)
- is the value of the function
- and is 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:
Failed to parse (syntax error): {\displaystyle f(x,r1,r2)=Γ[(r1+r2)/2](r1/r2)^r1/2*(x)r1/2-1/ Γ(r1/2)Γ(r2/2)(1+r1x/r2)^(r1+r2)/2, 0<x<\infty} where Γ is the gamma function.
- The gamma function is defined by Gamma(t) = integral 0 to infinity x^{t-1} e^{-x} dx.
When the value of df1 and df2 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 nonnumeric. 2.x is negative 3. df1 or df2<1 ,and df1 ordf2>=10^10
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
See Also