BETAINV

Microsoft Office Excel 2003

See Also

Returns the inverse of the cumulative distribution 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.

ShowHow?

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic. 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 Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.
 
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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)