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Excel BETAINV function

Author: Sun Last Modified: 2024-10-23
show the usage of BETAINV function

Description

The Excel BETAINV function returns the inverse of the cumulative beta probability density function for a specified beta distribution. Which means that if probability = BETADIST(x,alpha,…), the BETAINV(probability,alpha,…) returns x.

Note: This function has been replaced with BETA.INV function that may provide improved accuracy after Excel 2010 version. This function is still can be available but considering it may be not available in the future, you should better study to use the new function from now.

Syntax and arguments

Formula syntax

BETAINV(probability,alpha,beta,[A],[B])

Arguments

  • Probability: Required, the probability of the beta distribution.
  • Alpha: Required, A distribution parameter.
  • Beta: Required, A distribution parameter.
  • A: Optional, the lower bound to the interval of x
  • B: Optional, the upper bound to the interval of x.

Return Value

The BETAINV function returns a numeric value.

Errors

#VALUE! error value appears when any argument is nonnumeric.

#NUM! error value appears when one of below situations occurs:

  1. Argument alpha <= 0;
  2. Argument beta <= 0;
  3. Argument x < A;
  4. Argument x > B;
  5. Argument A = B.

Remarks

If the argument A and B are omitted, the BETAINV function uses the standard cumulative beta distribution, A = 0, B = 1.

Version

Excel 2010 and earliaer versions.

Usage and Examples

Example1 basic usage

To return the inverse of cumulative beta probability density function based on the provided parameters in table C2:C6, please use the BETAINV function as below:

=BETAINV(C2,C3,C4,C5,C6)

Or you can directly type the arguments in the formula like:

=BETAINV (0.6,1,6,8,10)

Press Enter key.
show the usage of BETAINV function

Other Functions:

  • Excel BETA.DIST Function
    The Excel BETA.DIST function (Excel 2013) returns the beta distribution which is usually used to study the percentage variation of something across samples.

  • Excel BETADIST Function
    The Excel BETADIST function (Excel 2010) returns the beta distribution which is usually used to study the percentage variation of something across samples.

  • Excel NORM.S.DIST Function
    The NORM.S.DIST calculates and returns the standard normal cumulative distribution function or probability density function of a value for an arithmetic mean of 0 and standard deviation of 1

  • Excel NORM.S.INV Function
    The NORM.S.INV calculates and returns the inverse of the standard normal cumulative distribution that has an arithmetic mean of 0 and standard deviation of 1 with a given probability.

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