# BETAINV

The BETAINV function is used to determine the inverse of the cumulative beta probability density function. This function is commonly utilized in statistical analysis, particularly for estimating the threshold or inverse value for a given beta distribution probability.

## Syntax

=BETAINV(`probability`

, `alpha`

, `beta`

)

`probability` | The probability for which to find the inverse cumulative beta probability density function. |

`alpha` | A parameter of the beta distribution. |

`beta` | A parameter of the beta distribution. |

## About BETAINV

In the realm of statistical analysis, the BETAINV function in Excel serves as a dependable tool for unraveling the mysteries of the beta distribution. Designed to operate within the confines of probability distributions, BETAINV emerges as a valuable asset for those seeking to ascertain the inverse value associated with a given cumulative probability under a beta distribution scenario. This function seamlessly lends itself to diverse applications, offering a means to pinpoint specific thresholds or critical values within the context of statistical modeling and analysis. By inputting the desired probability along with the alpha and beta parameters, users can effortlessly derive the corresponding inverse of the cumulative beta probability density function. This capability proves instrumental when tackling complex statistical inquiries and formulating informed decisions grounded in rigorous analysis and interpretation of beta distributions.

## Examples

Suppose you need to identify the lower threshold at which 90% of observations fall under a particular beta distribution with alpha = 2 and beta = 3. You can use the BETAINV formula as follows: =BETAINV(0.90, 2, 3) This will yield the inverse value associated with the 90th percentile of the beta distribution.

Imagine a scenario where you aim to determine the upper limit encompassing 95% of the data in a beta distribution characterized by alpha = 1.5 and beta = 2.7. The BETAINV function can be applied as follows: =BETAINV(0.95, 1.5, 2.7) The result will furnish the inverse value corresponding to the 95th percentile of the specified beta distribution.

## Questions

**How does the BETAINV function assist in statistical analysis?**

The BETAINV function facilitates statistical analysis by providing the inverse value corresponding to a specific cumulative probability within a beta distribution. This capability aids in identifying critical thresholds and quantifying the distribution of data within the context of statistical modeling.

**What are the key inputs required for utilizing the BETAINV function?**

The essential inputs for the BETAINV function include the target probability for inverse calculation, along with the alpha and beta parameters characterizing the beta distribution. Accurate specification of these inputs is crucial for obtaining meaningful results from the BETAINV function.

## Related functions

BETADIST

BETAINV

BINOM.INV

CRITBINOM

GAMMAINV

NORM.INV

T.INV