DocumentationFormulasFunctionsBetadist

BETADIST function

PRO

The BETADIST function in Jspreadsheet Formulas Pro returns the cumulative beta probability for a value between a lower and an upper bound. It is the compatibility version of BETA.DIST: it always returns the cumulative distribution and has no cumulative argument. The beta distribution is commonly used to model proportions and percentages, such as the completion rate of a task or the share of a population that satisfies a condition.

Documentation

Returns the cumulative beta probability density function.

Category

Statistical

Syntax

BETADIST(x, alpha, beta, [A], [B])

Parameter Description
x The value at which to evaluate the function, between A and B.
alpha The first shape parameter of the distribution. Must be greater than 0.
beta The second shape parameter of the distribution. Must be greater than 0.
[A] Optional. The lower bound of the interval of x. Defaults to 0.
[B] Optional. The upper bound of the interval of x. Defaults to 1.

Behavior

The BETADIST function returns the probability that a beta-distributed variable is less than or equal to x. It produces the same value as BETA.DIST with cumulative set to TRUE.

  • x must be inside the interval [A, B]. Values outside the interval return #NUM!.
  • alpha and beta must be greater than 0.
  • When A and B are omitted the standard interval from 0 to 1 is used.
  • Only the cumulative distribution is available. Use BETA.DIST with cumulative FALSE to get the probability density.
  • Text arguments return #VALUE! instead of being converted.

Common Errors

Error Description
#NUM! Returned when alpha or beta is less than or equal to 0, or when x is outside the interval defined by A and B.
#VALUE! Returned when an argument is text that cannot be interpreted as a number.

Best practices

  • Make sure x stays inside the interval defined by A and B, or wrap the call with IFERROR to handle #NUM! when x comes from data.
  • Reference alpha and beta from cells validated to be greater than 0, since zero or negative values return #NUM!.
  • Use absolute references for the alpha and beta cells when copying the formula down a column of x values, for example $B$1.
  • Check with ISNUMBER that the input cells hold numbers, because text returns #VALUE!.

Usage

A few examples using the BETADIST function.

BETADIST(0.2, 2, 3)
// Returns 0.1808

BETADIST(0.8, 4, 2, 0.5, 1)
// Returns 0.33696, using the interval from 0.5 to 1

BETADIST(0.5, 1, 1)
// Returns 0.5, the uniform case

BETADIST(2, 2, 3)
// Returns #NUM! because x is outside the interval from 0 to 1

Interactive Spreadsheet Demo

<html>
<script src="https://jsuites.net/v6/jsuites.js"></script>
<script src="https://cdn.jsdelivr.net/npm/jspreadsheet@13/dist/index.min.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v6/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/jspreadsheet@13/dist/jspreadsheet.min.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>
// You can use the following license for quick testing on localhost, StackBlitz, or CodeSandbox.
// The license is valid for one day, after which the spreadsheet will become read-only.
// For a longer trial period, you can create a free account and generate a demo license with an extended expiration date.
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "x",
        "alpha",
        "beta",
        "BETADIST"
    ],
    [
        0.2,
        2,
        3,
        "=BETADIST(A2, B2, C2)"
    ],
    [
        0.5,
        2,
        3,
        "=BETADIST(A3, B3, C3)"
    ],
    [
        0.8,
        2,
        3,
        "=BETADIST(A4, B4, C4)"
    ],
    [
        0.5,
        1,
        1,
        "=BETADIST(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 = [
    [
        "x",
        "alpha",
        "beta",
        "BETADIST"
    ],
    [
        0.2,
        2,
        3,
        "=BETADIST(A2, B2, C2)"
    ],
    [
        0.5,
        2,
        3,
        "=BETADIST(A3, B3, C3)"
    ],
    [
        0.8,
        2,
        3,
        "=BETADIST(A4, B4, C4)"
    ],
    [
        0.5,
        1,
        1,
        "=BETADIST(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 = [
    [
        "x",
        "alpha",
        "beta",
        "BETADIST"
    ],
    [
        0.2,
        2,
        3,
        "=BETADIST(A2, B2, C2)"
    ],
    [
        0.5,
        2,
        3,
        "=BETADIST(A3, B3, C3)"
    ],
    [
        0.8,
        2,
        3,
        "=BETADIST(A4, B4, C4)"
    ],
    [
        0.5,
        1,
        1,
        "=BETADIST(A5, B5, C5)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import formula from "@jspreadsheet/formula-pro";

// You can use the following license for quick testing on localhost, StackBlitz, or CodeSandbox.
// The license is valid for one day, after which the spreadsheet will become read-only.
// For a longer trial period, you can create a free account and generate a demo license with an extended expiration date.
jspreadsheet.setLicense('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');

// 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: [
    [
        "x",
        "alpha",
        "beta",
        "BETADIST"
    ],
    [
        0.2,
        2,
        3,
        "=BETADIST(A2, B2, C2)"
    ],
    [
        0.5,
        2,
        3,
        "=BETADIST(A3, B3, C3)"
    ],
    [
        0.8,
        2,
        3,
        "=BETADIST(A4, B4, C4)"
    ],
    [
        0.5,
        1,
        1,
        "=BETADIST(A5, B5, C5)"
    ]
]
            }]
        });
    }
}