GAMMAINV

Microsoft Office Excel 2003

See Also

Returns the inverse of the gamma cumulative distribution. If p = GAMMADIST(x,...), then GAMMAINV(p,...) = x.

You can use this function to study a variable whose distribution may be skewed.

Syntax

GAMMAINV(probability,alpha,beta)

Probability    is the probability associated with the gamma distribution.

Alpha    is a parameter to the distribution.

Beta    is a parameter to the distribution. If beta = 1, GAMMAINV returns the standard gamma distribution.

Remarks

  • If any argument is nonnumeric, GAMMAINV returns the #VALUE! error value.
  • If probability < 0 or probability > 1, GAMMAINV returns the #NUM! error value.
  • If alpha ≤ 0 or if beta ≤ 0, GAMMAINV returns the #NUM! error value.

Given a value for probability, GAMMAINV seeks that value x such that GAMMADIST(x, alpha, beta, TRUE) = probability. Thus, precision of GAMMAINV depends on precision of GAMMADIST. GAMMAINV 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
0.068094 Probability associated with the gamma distribution
9 Alpha parameter to the distribution
2 Beta parameter to the distribution
Formula Description (Result)
=GAMMAINV(A2,A3,A4) Inverse of the gamma cumulative distribution for the above terms (10)