Difference between revisions of "Manuals/calci/BETAINV"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
<div style="font-size:30px">'''BETAINV(prob,alpha,beta,a,b)'''</div><br/> | <div style="font-size:30px">'''BETAINV(prob,alpha,beta,a,b)'''</div><br/> | ||
*<math>prob</math> is the probability value associated with the beta distribution. | *<math>prob</math> is the probability value associated with the beta distribution. | ||
| − | *<math> | + | *<math>alpha</math> & <math>beta</math> are the values of the shape parameter. |
*<math>a</math> & <math>b</math> the lower and upper limit to the interval of <math>x</math>. | *<math>a</math> & <math>b</math> the lower and upper limit to the interval of <math>x</math>. | ||
| Line 7: | Line 7: | ||
*This function gives the inverse value of Cumulative Beta Probability Distribution. | *This function gives the inverse value of Cumulative Beta Probability Distribution. | ||
*It is called Inverted Beta Function or Beta Prime. | *It is called Inverted Beta Function or Beta Prime. | ||
| − | *In <math>BETAINV(prob, | + | *In <math>BETAINV(prob,alpha,beta,a,b)</math>, <math>prob</math> is the probability value associated with Beta Distribution, <math>alpha</math> and <math>beta</math> are the values of two positive shape parameters and <math>a</math> and <math>b</math> are the lower and upper limit. |
*Normally the limit values are optional, i.e. when we are giving the values of <math>a</math>&<math>b</math> then the result value is from <math>a</math> and <math>b</math>. | *Normally the limit values are optional, i.e. when we are giving the values of <math>a</math>&<math>b</math> then the result value is from <math>a</math> and <math>b</math>. | ||
*When we are omitting the values <math>a</math> and <math>b</math>, by default it will consider <math>a=0</math> and <math>b=1</math>, so the result value is from <math>0</math> and <math>1</math>. | *When we are omitting the values <math>a</math> and <math>b</math>, by default it will consider <math>a=0</math> and <math>b=1</math>, so the result value is from <math>0</math> and <math>1</math>. | ||
| − | *If <math>BETADIST(x, | + | *If <math>BETADIST(x,alpha,beta,a,b)=prob</math>, then <math>BETAINV(prob,alpha,beta,a,b)=x</math>. |
*<math>BETAINV</math> use the iterating method to find the value of <math>x</math>.suppose the iteration has not converged after 100 searches, then the function gives the error result. | *<math>BETAINV</math> use the iterating method to find the value of <math>x</math>.suppose the iteration has not converged after 100 searches, then the function gives the error result. | ||
*This function will give the error result when | *This function will give the error result when | ||
1.Any one of the arguments are non-numeric | 1.Any one of the arguments are non-numeric | ||
2.<math>\alpha</math> or <math>\beta \le 0 </math> | 2.<math>\alpha</math> or <math>\beta \le 0 </math> | ||
| − | 3.<math>x<a ,x>b</math> or <math>a=b</math> | + | 3.<math>x<a ,x>b</math> or <math>a = b</math> |
4.we are not mentioning the limit values for <math>a</math>&<math>b</math>, | 4.we are not mentioning the limit values for <math>a</math>&<math>b</math>, | ||
| − | by default it will consider the Standard Cumulative Beta Distribution, <math>a = 0</math> and | + | by default it will consider the Standard Cumulative Beta Distribution, <math>a = 0</math> and b = 1 |
==Examples== | ==Examples== | ||
Revision as of 22:49, 5 December 2013
BETAINV(prob,alpha,beta,a,b)
- is the probability value associated with the beta distribution.
- & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle beta} are the values of the shape parameter.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} the lower and upper limit to the interval of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} .
is the probability value associated with the beta distribution.
& Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle beta}
are the values of the shape parameter.Description
- This function gives the inverse value of Cumulative Beta Probability Distribution.
- It is called Inverted Beta Function or Beta Prime.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BETAINV(prob,alpha,beta,a,b)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle prob} is the probability value associated with Beta Distribution, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle alpha} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle beta} are the values of two positive shape parameters and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} are the lower and upper limit.
- Normally the limit values are optional, i.e. when we are giving the values of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} &Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} then the result value is from Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} .
- When we are omitting the values Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b} , by default it will consider Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a=0} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b=1} , so the result value is from Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1} .
- If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BETADIST(x,alpha,beta,a,b)=prob} , then Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BETAINV(prob,alpha,beta,a,b)=x} .
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle BETAINV} use the iterating method to find the value of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} .suppose the iteration has not converged after 100 searches, then the function gives the error result.
- This function will give the error result when
1.Any one of the arguments are non-numeric
2.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \beta \le 0 }
3.Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x<a ,x>b}
or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a = b}
4.we are not mentioning the limit values for Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a}
&Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle b}
,
by default it will consider the Standard Cumulative Beta Distribution, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a = 0}
and b = 1
Examples
- BETAINV(0.2060381025,5,9,2,6) = 3
- BETAINV(0.359492343,8,10) = 1.75
- BETAINV(0.685470581,5,8,2,6) = 3.75
- BETAINV(0.75267,1,7,7,9) = 7.25
- BETAINV(0.5689,-2,4,3,5) = NAN, because Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha < 0} .