- Excel Functions - Home
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- BINOM.DIST.RANGE Function
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- CHISQ.DIST Function
- CHISQ.DIST.RT Function
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- CHISQ.INV.RT Function
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- CONFIDENCE.NORM Function
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- FISHER Function
- FISHERINV Function
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- FORECAST.ETS.CONFINT Function
- FORECAST.ETS.SEASONALITY Function
- FORECAST.ETS.STAT Function
- FORECAST.LINEAR Function
- FREQUENCY Function
- GAMMA Function
- GAMMA.DIST Function
- GAMMA.INV Function
- GAMMALN Function
- GAMMALN.PRECISE Function
- GAUSS Function
- GEOMEAN
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- LOGNORM.DIST Function
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- MAX Function
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- NORM.INV Function
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- PERCENTILE.EXC
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- PERMUT
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- PROB
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- SLOPE
- SMALL
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- STDEVPA
- STEYX
- T.DIST
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- T.DIST.RT
- T.INV
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- T.TEST
- TREND
- TRIMMEAN Function
- VAR.P Function
- VAR.S Function
- VARA Function
- VARPA Function
- WEIBULL.DIST Function
- Z.TEST Function
- Web Functions
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- WEBSERVICE Function
Excel - GAMMADIST Function
GAMMADIST Function
The Excel GAMMADIST function returns the gamma distribution. It is considered a continuous probability distribution to study variables that may have a skewed distribution, to analyze the variation in cancer rates. The gamma distribution is commonly used in queuing analysis and weather forecasting. The Gamma distribution would model the elapsed time among certain events.
The GAMMADIST function replaces the GAMMA.DIST function in Excel 2010.
Compatibility
This advanced Excel function is compatible with the following versions of MS-Excel −
- Excel for Microsoft 365
- Excel for Microsoft 365 for Mac
- Excel for the web
- Excel 2021
- Excel 2021 for Mac
- Excel 2019
- Excel 2019 for Mac
Syntax
The syntax of GAMMADIST function is as follows −
GAMMADIST(x,alpha,beta,cumulative)
Arguments
You can use the following arguments with the GAMMADIST function −
| Argument | Description | Required / Optional |
|---|---|---|
| X | You can specify the value to evaluate the distribution. | Required |
| Alpha | A shape parameter whose formula is (mean)^2/variance. | Required |
| Beta |
A scale parameter whose calculating formula is (variance)/mean to the distribution. GAMMADIST function retrieves the standard gamma distribution if the value of this parameter is equal to zero. |
Required |
| Cumulative |
If this parameter specifies TRUE, this function retrieves the cumulative distribution function. Otherwise, it will retrieve the probability density function for the FALSE value. |
Required |
Points to Remember
- GAMMADIST retrieves the if the alpha value equals half of x, the beta equals two, the cumulative argument equals True, and x specifies the positive values.
- For non-numeric arguments, GAMMADIST retrieves the #VALUE! error value.
- GAMMADIST will retrieve the #NUM! error if the x value is less than zero.
- Either alpha 0 or beta 0, GAMMADIST retrieves the #NUM! error value.
- GAMMADIST is considered an Erlang distribution for integer alpha whose value is greater than zero.
- The GAMMADIST function will retrieve the exponential distribution if the alpha value equals one.
Examples of GAMMADIST Function
Practice the following examples to learn the use of the GAMMADIST function in Excel.
Example 1
GAMMADIST retrieves the if the alpha value equals half of x, the beta equals two, the cumulative argument equals True, and x specifies the positive values.
Solution
Enter the input data in the desired worksheet as shown below −
- x = 6
- Alpha = 3
- Beta = 2
- Cumulative = True
- Now enter the formula =GAMMADIST(C2,C3,C4,C5) in the C6 cell and press the Enter button.
- Therefore, the Gamma distribution value is 0.80.
Let's verify this resulting value along with the Chi distribution formula. You can enter the formula =(1-CHISQ.DIST.RT(6,C2)) in the E6 cell and press Enter. Here, C2 represents the degree of freedom.
Therefore, you can notice in the screenshot that the C6 and E6 cell values are the same.
Example 2
How to model new cancer cases rate through Gamma distribution.
Solution
Assume a sample dataset comprises two columns Cancer Type and "Rate of latest cancer cases" in the 2024 year.
Now enter the formula "=AVERAGE(B2:B6)" in the D2 cell to evaluate the mean "rate of latest cancer cases" column.
Furthermore, you may calculate the variance of the B column. Enter the formula =VAR.S(B2:B6) in the D3 cell.
You may calculate the value of Alpha by entering the formula =(D2^2)/D3 in the D4 cell and by pressing the Enter tab.
Similarly, to calculate the Beta parameter, enter the formula "=D3/D2" in the D5 cell.
Finally, you can calculate the gamma distribution. Enter the formula "=GAMMADIST(D2,D4,D5,TRUE)" in the B7 cell. The resulting value of the gamma distribution that retrieves the cumulative distribution function is 0.6042.
If Gamma Distribution retrieves the probability density function, in this case, you need to alter the formula "=GAMMADIST(D2, D4, D5, FALSE)" in the B7 cell. The resulting value is 2.25918.
Example 3
For non-numeric arguments, GAMMADIST retrieves the #VALUE! error value.
Solution
In this example, the input data corresponding to the Alpha parameter is text. Enter the formula =GAMMADIST(C2,C3,C4,C5) in the C6 cell and press the Enter tab.
Example 4
Either alpha 0 or beta 0, GAMMADIST retrieves the #NUM! error value.
Solution
In this example, the value of the Beta parameter is negative -33. Now, you may enter the formula =GAMMADIST(C2,C3,C4,C5) in the C6 cell and press the Enter.
Therefore, the #NUM! error occurs if any of the parametric values inside the Gamma distribution formula are negative.
Example 5
The GAMMADIST function will retrieve the exponential distribution if the alpha value equals one.
Solution
In this example, the alpha value is one, and write the formula = =GAMMADIST(C2,C3,C4,C5) in the C6 cell and press the Enter tab.
Therefore, in this example, the Gamma distribution function became the exponential distribution. You may cross verify its value by executing the EXPODIST function in the desired cell.