GAMMA.INV
The GAMMA.INV function returns the inverse of the gamma cumulative distribution for a given probability. It requires the probability, alpha, and beta parameters. Use it to find a value corresponding to a specific probability in a gamma distribution.
Syntax 🔗
=GAMMA.INV(Probability, Alpha, Beta)
Probability | The probability for which you want to find the inverse gamma distribution. |
Alpha | The shape parameter of the gamma distribution. |
Beta | The scale parameter of the gamma distribution. |
About GAMMA.INV 🔗
GAMMA.INV is an Excel function that calculates the inverse of the gamma cumulative distribution. You use it to find the input value for a given probability in a gamma distribution with specified shape (alpha) and scale (beta) parameters. This function is useful in statistical analysis and modeling when dealing with positive continuous variables that have skewed distributions.
Examples 🔗
If you have a gamma distribution with alpha = 2 and beta = 3, and you want to find the input value that corresponds to a cumulative probability of 0.8, you can use the formula: =GAMMA.INV(0.8, 2, 3). This will give you the input value for the specified probability in the gamma distribution.
Suppose you are analyzing a dataset with gamma-distributed variables and you need to find the value that represents the 90th percentile of the distribution with alpha = 1.5 and beta = 2. You would use: =GAMMA.INV(0.9, 1.5, 2). This formula will return the value at the 90th percentile of the specified gamma distribution.
Notes 🔗
Make sure the probability you provide is within the valid range for the gamma distribution. The GAMMA.INV function requires numerical values for the alpha and beta parameters, which represent the shape and scale of the gamma distribution. It assumes the gamma distribution is well-defined for the inputs you provide.
Questions 🔗
You should use the GAMMA.INV function when you need to find the inverse of the gamma cumulative distribution function for specific probabilities in datasets with gamma-distributed variables. It helps in determining the input values corresponding to desired cumulative probabilities on gamma distributions.
What do the shape and scale parameters signify in the GAMMA.INV function?In the GAMMA.INV function, the shape parameter (Alpha) defines the skewness and shape of the gamma distribution curve, while the scale parameter (Beta) influences the scale or spread of the distribution.
No, the GAMMA.INV function expects probabilities within the valid range of 0 to 1. Inputting probabilities outside this range may result in errors or unexpected outputs.