# Documentation/Calc Functions/BETAINV

BETAINV

## Category:

Statistical Analysis

## Summary:

Returns the inverse of the cumulative beta probability density function.

## Syntax:

BETAINV(Number; Alpha; Beta [; Start [; End]])

## Returns:

Returns a real number such that if Number = BETADIST(P;A;B;S;E;TRUE()), then BETAINV(Number;A;B;S;E) = P.

## Arguments:

Number is a real number or a reference to the cell containing that number which is the probability associated with the beta distribution function so it is between 0(inclusive) and 1(inclusive).

Alpha is a real number or a reference to the cell containing that number which is a parameter to the distribution.

Beta is a real number or a reference to the cell containing that number which is a parameter to the distribution.

Start is a real number or a reference to the cell containing that number which is the lower bound for the result of this function.

End is a real number or a reference to the cell containing that number which is the upper bound for the result of this function.

• If either of Alpha or Beta is negative or zero then the function returns an error value.
• If Start is greater than End the function returns an error value.
• If Number is less than 0 or greater than 1, then the function returns an error value.
• If Start is not specified, the default value 0 is used.
• If End is not specified, the default value 1 is used.

For more details on Inverted Beta distribution, visit Wikipedia.

## Examples:

Formula Description Returns
=BETAINV(0.5;5;10) The function calculates the inverse of the cumulative beta probability density function 0.325751155286213
=BETAINV(0.5;3;4;3;4) The function calculates the inverse of the cumulative beta probability density function. This can be alternatively considered as =BETADIST(3.42140719069071;3;4;3;4;TRUE()) gives 0.5 3.42140719069071
=BETAINV(3.5,3,4,3,4) The Number is not between 0 and 1 so the function returns an error value Err:502

BETAINV