Difference between revisions of "Manuals/calci/BETAINV"
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*It is called inverted beta function or beta prime. | *It is called inverted beta function or beta prime. | ||
*In <math>BETAINV(prob,alpha,beta,a,b)</math>, prob is the probability value of the associated with beta distribution, alpha and beta are the values of the two positive shape parameters and a and b are the lower and upper limit. *Normally the limit values are optional, i.e., when we are giving the values of a&b then the result value is from a and b, otherwise when we are omitting the values a and b by default it will consider a=0 and b=1, so the result value is from 0 and1. | *In <math>BETAINV(prob,alpha,beta,a,b)</math>, prob is the probability value of the associated with beta distribution, alpha and beta are the values of the two positive shape parameters and a and b are the lower and upper limit. *Normally the limit values are optional, i.e., when we are giving the values of a&b then the result value is from a and b, otherwise when we are omitting the values a and b by default it will consider a=0 and b=1, so the result value is from 0 and1. | ||
| − | *If BETADIST(x,alpha,beta,a,b)=prob, then BETAINV(prob,alpha,beta,a,b)=x. | + | *If <math>BETADIST(x,alpha,beta,a,b)=prob</math>, then <math>BETAINV(prob,alpha,beta,a,b)=x</math>. |
*BETAINV using the iterating method to find the value of x.suppose the iteration has not converged after 100 searches, then the function gives the error result. | *BETAINV using the iterating method to find the value of 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 | *This function will give the error result when | ||
Revision as of 01:06, 4 December 2013
BETAINV(prob,alpha,beta,a,b)
- Where prob is the probability value associated with the beta distribution.
- Alpha& beta are the values of the shape parameter.
- a&b the lower and upper limit to the interval of x.
Description
- This function gives the inverse value of cumulative beta probability distribution.
- It is called inverted beta function or beta prime.
- In , prob is the probability value of the associated with beta distribution, alpha and beta are the values of the two positive shape parameters and a and b are the lower and upper limit. *Normally the limit values are optional, i.e., when we are giving the values of a&b then the result value is from a and b, otherwise when we are omitting the values a and b by default it will consider a=0 and b=1, so the result value is from 0 and1.
- If , then .
- BETAINV using the iterating method to find the value of 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
, prob is the probability value of the associated with beta distribution, alpha and beta are the values of the two positive shape parameters and a and b are the lower and upper limit. *Normally the limit values are optional, i.e., when we are giving the values of a&b then the result value is from a and b, otherwise when we are omitting the values a and b by default it will consider a=0 and b=1, so the result value is from 0 and1.
, then 
.- Any one of the arguments are nonnumeric
- alpha or beta<=0
- x<a ,x>b, or a=b
- we are not mentioning the limit values a and b, by default it will consider the standard cumulative beta distribution, a= 0 and b= 1.
Examples
- BETAINV(0.2060381025,5,9,2,6)=3
- BETAINV(0.359492343,8,10)=0.399999976(EXCEL) is approximate to 0.4=1.75(calci)
- BETAINV(0.685470581,5,8,2,6)= 3.78378773(excel)=3.75(calci)
- BETAINV(0.75267,1,7,7,9)=7.361844063(Excel)=7.25(calci)
- BETAINV(0.5689,-2,4,3,5)=NAN, because alpha<0.