How to Use the GAMMAINV Function in Excel

Today, we will delve into an effective statistical tool in Microsoft Excel and Google Sheets known as the GAMMAINV function. The GAMMAINV function calculates the inverse of the gamma cumulative distribution, which is highly valuable in diverse areas such as quality control, reliability analysis, and risk management.

Syntax

The syntax for the GAMMAINV function is consistent across both Excel and Google Sheets:

=GAMMAINV(probability, alpha, beta)
  • probability: The probability value for which the inverse of the gamma cumulative distribution is desired.
  • alpha: The shape parameter of the distribution.
  • beta: The rate parameter of the distribution.

Example 1

Consider determining the inverse of the gamma distribution for a probability of 0.2, with an alpha value of 2 and a beta value of 3.

Formula Result
=GAMMAINV(0.2, 2, 3) 0.975529

The result indicates that the inverse of the gamma distribution for a probability of 0.2, alpha of 2, and beta of 3 is approximately 0.975529.

Example 2

An example application of the GAMMAINV function in reliability analysis involves finding the inverse of the gamma cumulative distribution for a probability of 0.05, with alpha = 4 and beta = 2.

Formula Result
=GAMMAINV(0.05, 4, 2) 0.206685

In this instance, the result shows that the inverse of the gamma cumulative distribution for a probability of 0.05, with alpha = 4 and beta = 2, is approximately 0.206685.

The GAMMAINV function offers a straightforward means to analyze and compute the inverse of the gamma cumulative distribution in both Excel and Google Sheets, proving to be an indispensable resource for statistical and probabilistic calculations.

More information: https://support.microsoft.com/en-us/office/gammainv-function-06393558-37ab-47d0-aa63-432f99e7916d

Other functions
Returns the beta cumulative distribution function
Returns the inverse of the cumulative distribution function for a specified beta distribution
Returns the individual term binomial distribution probability
Returns the one-tailed probability of the chi-squared distribution
Returns the inverse of the one-tailed probability of the chi-squared distribution
Returns the test for independence
Returns the confidence interval for a population mean
Returns covariance, the average of the products of paired deviations
Returns the smallest value for which the cumulative binomial distribution is less than or equal to a criterion value
Returns the exponential distribution
Returns the F probability distribution
Rounds a number down, toward zero
Returns the result of an F-test
Returns the gamma distribution
Returns the hypergeometric distribution
Returns the inverse of the lognormal cumulative distribution
Returns the cumulative lognormal distribution
Returns the most common value in a data set
Returns the negative binomial distribution
Returns the inverse of the normal cumulative distribution
Returns the normal cumulative distribution
Returns the standard normal cumulative distribution
Returns the inverse of the standard normal cumulative distribution
Returns the k-th percentile of values in a range
Returns the percentage rank of a value in a data set
Returns the Poisson distribution
Returns the quartile of a data set
Returns the rank of a number in a list of numbers
Estimates standard deviation based on a sample
Calculates standard deviation based on the entire population
Returns the Student's t-distribution
Returns the inverse of the Student's t-distribution
Returns the probability associated with a Student's t-test
Estimates variance based on a sample
Calculates variance based on the entire population
Calculates variance based on the entire population, including numbers, text, and logical values
Returns the one-tailed probability-value of a z-test