GAMMAINV function
PRO
The GAMMAINV
function in Jspreadsheet Formulas Pro is a powerful tool often used in statistical analysis. It provides the inverse of the gamma cumulative distribution function using a defined probability along with shape (alpha) and scale (beta) parameters Essentially, it helps determine the value at which the gamma distribution function reaches a certain probability. This is particularly useful in predicting outcomes and trends based on specific data sets.
Documentation
Calculates the inverse of the gamma cumulative distribution function for a specified probability and parameter values.
Category
Statistical
Syntax
GAMMAINV(probability, alpha, beta)
Parameter | Description |
---|---|
probability |
The probability that corresponds to the gamma distribution. |
alpha |
A parameter that specifies the shape of the distribution. Alpha must be greater than 0. |
beta |
A parameter that specifies the scale of the distribution. Beta must be greater than 0. |
Behavior
The GAMMAINV
function calculates the inverse of the cumulative gamma distribution function for a specified probability, alpha, and beta.
- If any of the arguments are non-numeric,
GAMMAINV
returns a#VALUE!
error. - If any of the arguments are less than or equal to zero,
GAMMAINV
returns a#NUM!
error. - If probability < 0 or if probability > 1,
GAMMAINV
returns a#NUM!
error. - Empty cells within the range are treated as zeros.
- Text representations of numbers that you type directly into the list of arguments are counted.
- Boolean values are also considered as numeric values: TRUE as 1 and FALSE as 0.
Common Errors
Error | Description |
---|---|
#VALUE! | If any of the arguments are non-numeric, GAMMAINV returns a #VALUE! error. |
#NUM! | If alpha, beta, or probability is less than or equal to zero, or if probability is less than 0 or greater than 1. |
Best practices
- Always ensure the input values are numeric, and alpha and beta are greater than zero.
- Ensure the probability is in the range of 0-1 (inclusive).
- Use error checking functions like
ISNUMBER
andIFERROR
to handle possible errors.- Avoid using boolean values or non-numeric values as they could lead to errors or unexpected results.
Usage
A few examples using the GAMMAINV function.
GAMMAINV(0.3,3,2) // Returns 3.827551588
GAMMAINV(0.7,5,1.5) // Returns 8.835541971
GAMMAINV(0.9,7,4) // Returns 42.12828843
GAMMAINV(1.2,3,2) // Returns #NUM! (probability > 1)
GAMMAINV("A",3,2) // Returns #VALUE! (non-numeric probability)
Interactive Spreadsheet Demo
<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />
<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>
<div id="spreadsheet"></div>
<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
worksheets: [{
data: [
[
"Probability",
"Alpha",
"Beta",
"Gamma Inverse"
],
[
0.25,
2,
1.5,
"=GAMMAINV(A2,B2,C2)"
],
[
0.5,
3,
2,
"=GAMMAINV(A3,B3,C3)"
],
[
0.75,
4,
1,
"=GAMMAINV(A4,B4,C4)"
],
[
0.9,
5,
2.5,
"=GAMMAINV(A5,B5,C5)"
]
]
}]
});
</script>
</html>
import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
// Set license
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
export default function App() {
// Spreadsheet array of worksheets
const spreadsheet = useRef();
// Worksheet data
const data = [
[
"Probability",
"Alpha",
"Beta",
"Gamma Inverse"
],
[
0.25,
2,
1.5,
"=GAMMAINV(A2,B2,C2)"
],
[
0.5,
3,
2,
"=GAMMAINV(A3,B3,C3)"
],
[
0.75,
4,
1,
"=GAMMAINV(A4,B4,C4)"
],
[
0.9,
5,
2.5,
"=GAMMAINV(A5,B5,C5)"
]
];
// Render component
return (
<Spreadsheet ref={spreadsheet}>
<Worksheet data={data} />
</Spreadsheet>
);
}
<template>
<Spreadsheet ref="spreadsheet">
<Worksheet :data="data" />
</Spreadsheet>
</template>
<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";
// Set license
jspreadsheet.setLicense('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');
// Set the extensions
jspreadsheet.setExtensions({ formula });
export default {
components: {
Spreadsheet,
Worksheet,
},
data() {
// Worksheet data
const data = [
[
"Probability",
"Alpha",
"Beta",
"Gamma Inverse"
],
[
0.25,
2,
1.5,
"=GAMMAINV(A2,B2,C2)"
],
[
0.5,
3,
2,
"=GAMMAINV(A3,B3,C3)"
],
[
0.75,
4,
1,
"=GAMMAINV(A4,B4,C4)"
],
[
0.9,
5,
2.5,
"=GAMMAINV(A5,B5,C5)"
]
]
return {
data
};
}
}
</script>
import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('ZjFkYTFjMTY3ODg5MzYxMjk2YTk5MTI4OGUwMmViZGUzZDZiNDY1ODg1M2UyYWNiODQ3MTg5ZGJiNGJhYzljMjA0N2NlZDdmZGY3MmFmYjI2M2I5NGI4OTU3MjlmNzMxNTQxZWRiYTRiN2NmNjkxMjRhZGI1MDAyZGE5NzNkYjgsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXhNVGN3TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');
// Set the extensions
jspreadsheet.setExtensions({ formula });
@Component({
standalone: true,
selector: "app-root",
template: `<div #spreadsheet></div>`
})
export class AppComponent {
@ViewChild("spreadsheet") spreadsheet: ElementRef;
// Worksheets
worksheets: jspreadsheet.worksheetInstance[];
// Create a new data grid
ngAfterViewInit() {
// Create spreadsheet
this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
worksheets: [{
data: [
[
"Probability",
"Alpha",
"Beta",
"Gamma Inverse"
],
[
0.25,
2,
1.5,
"=GAMMAINV(A2,B2,C2)"
],
[
0.5,
3,
2,
"=GAMMAINV(A3,B3,C3)"
],
[
0.75,
4,
1,
"=GAMMAINV(A4,B4,C4)"
],
[
0.9,
5,
2.5,
"=GAMMAINV(A5,B5,C5)"
]
]
}]
});
}
}