BETAINV function

Returns the inverse of the cumulative beta probability density function for a specified beta distribution. That is, if probability = BETADIST(x,...), then BETAINV(probability,...) = x. The beta distribution can be used in project planning to model probable completion times given an expected completion time and variability.

Syntax

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

Probability     is a probability associated with the beta distribution.

Alpha     is a parameter of the distribution.

Beta     is a parameter the distribution.

A     is an optional lower bound to the interval of x.

B     is an optional upper bound to the interval of x.

Remarks

  • If any argument is nonnumeric, BETAINV returns the #VALUE! error value.

  • If alpha ≤ 0 or beta ≤ 0, BETAINV returns the #NUM! error value.

  • If probability ≤ 0 or probability > 1, BETAINV returns the #NUM! error value.

  • If you omit values for A and B, BETAINV uses the standard cumulative beta distribution, so that A = 0 and B = 1.

Given a value for probability, BETAINV seeks that value x such that BETADIST(x, alpha, beta, A, B) = probability. Thus, precision of BETAINV depends on precision of BETADIST. BETAINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.

Example

The example may be easier to understand if you copy it to a blank worksheet.

How to copy an example

  1. Create a blank workbook or worksheet.

  2. Select the example in the Help topic.

    Note   Do not select the row or column headers.

    Selecting an example from Help

    Selecting an example from Help

  3. Press CTRL+C.

  4. In the worksheet, select cell A1, and press CTRL+V.

  5. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.

1

2

3

4

5

6

A

B

Data

Description

0.685470581

Probability associated with the beta distribution

8

Parameter of the distribution

10

Parameter of the distribution

1

Lower bound

3

Upper bound

Formula

Description (Result)

=BETAINV(A2,A3,A4,A5,A6)

Inverse of the cumulative beta probability density function for the parameters above (2)

Applies To: Excel 2007



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