GAMMAINV

Microsoft Office Spreadsheet Functions

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GAMMAINV

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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.
  • If beta ≤ 0, GAMMAINV returns the #NUM! error value.
GAMMAINV uses an iterative technique for calculating the function. Given a probability value, GAMMAINV iterates until the result is accurate to within ±3x10^-7. If GAMMAINV does not converge 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 spreadsheet.

How?

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)