DocumentationFormulasFunctionsNegbinom dist

NEGBINOM.DIST function

PRO

The NEGBINOM.DIST function in Jspreadsheet Formulas Pro returns the negative binomial distribution: the probability of observing number_f failures before the number_s-th success, when each trial succeeds with probability probability_s. It answers questions about how many failures happen before a target number of successes is reached. Unlike the compatibility function NEGBINOMDIST, it accepts a cumulative flag.

Documentation

Returns the negative binomial distribution, the probability of a number of failures before a threshold number of successes.

Category

Statistical

Syntax

NEGBINOM.DIST(number_f, number_s, probability_s, cumulative)

Parameter Description
number_f The number of failures. Must be an integer greater than or equal to 0.
number_s The threshold number of successes. Must be at least 1.
probability_s The probability of success on each trial, between 0 and 1.
cumulative TRUE returns the probability of at most number_f failures. FALSE returns the probability of exactly number_f failures.

Behavior

The NEGBINOM.DIST function evaluates the probability mass function when cumulative is FALSE and the cumulative distribution function when it is TRUE.

  • All four arguments are required. Calling the function with three arguments returns #N/A, so cumulative cannot be omitted as in Excel. Use NEGBINOMDIST for the three-argument form.
  • number_f must be 0 or positive, number_s must be at least 1 and probability_s must be between 0 and 1. Otherwise the function returns #NUM!.
  • A non-integer number_f is not truncated and makes the function return FALSE instead of a number. Round it before calling.
  • Text arguments return #VALUE!.

Common Errors

Error Description
#NUM! Returned when number_f is negative, number_s is less than 1, or probability_s is outside the range 0 to 1.
#VALUE! Returned when an argument is text that cannot be interpreted as a number.

Best practices

  • Always pass the cumulative argument, since the function does not accept the three-argument form.
  • Wrap number_f with INT when it comes from a calculation, because a decimal value returns FALSE instead of a number.
  • Keep number_s at least 1 and probability_s between 0 and 1, or wrap the call with IFERROR to handle #NUM!.
  • Use absolute references for the number_s and probability_s cells when copying the formula down a column of number_f values, for example $B$1.

Usage

A few examples using the NEGBINOM.DIST function.

NEGBINOM.DIST(10, 15, 0.25, FALSE)
// Returns 0.000103, exactly 10 failures before the 15th success

NEGBINOM.DIST(10, 15, 0.25, TRUE)
// Returns 0.000215, at most 10 failures

NEGBINOM.DIST(3, 5, 0.4, FALSE)
// Returns 0.077414

NEGBINOM.DIST(10, 15, 0.25)
// Returns #N/A because cumulative is required

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: [
    [
        "number_f",
        "number_s",
        "probability_s",
        "cumulative",
        "NEGBINOM.DIST"
    ],
    [
        3,
        5,
        0.4,
        false,
        "=NEGBINOM.DIST(A2, B2, C2, D2)"
    ],
    [
        3,
        5,
        0.4,
        true,
        "=NEGBINOM.DIST(A3, B3, C3, D3)"
    ],
    [
        10,
        15,
        0.25,
        false,
        "=NEGBINOM.DIST(A4, B4, C4, D4)"
    ],
    [
        0,
        1,
        0.5,
        false,
        "=NEGBINOM.DIST(A5, B5, C5, D5)"
    ]
]
  }]
});
</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 = [
    [
        "number_f",
        "number_s",
        "probability_s",
        "cumulative",
        "NEGBINOM.DIST"
    ],
    [
        3,
        5,
        0.4,
        false,
        "=NEGBINOM.DIST(A2, B2, C2, D2)"
    ],
    [
        3,
        5,
        0.4,
        true,
        "=NEGBINOM.DIST(A3, B3, C3, D3)"
    ],
    [
        10,
        15,
        0.25,
        false,
        "=NEGBINOM.DIST(A4, B4, C4, D4)"
    ],
    [
        0,
        1,
        0.5,
        false,
        "=NEGBINOM.DIST(A5, B5, C5, D5)"
    ]
];

    // 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 = [
    [
        "number_f",
        "number_s",
        "probability_s",
        "cumulative",
        "NEGBINOM.DIST"
    ],
    [
        3,
        5,
        0.4,
        false,
        "=NEGBINOM.DIST(A2, B2, C2, D2)"
    ],
    [
        3,
        5,
        0.4,
        true,
        "=NEGBINOM.DIST(A3, B3, C3, D3)"
    ],
    [
        10,
        15,
        0.25,
        false,
        "=NEGBINOM.DIST(A4, B4, C4, D4)"
    ],
    [
        0,
        1,
        0.5,
        false,
        "=NEGBINOM.DIST(A5, B5, C5, D5)"
    ]
]

        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: [
    [
        "number_f",
        "number_s",
        "probability_s",
        "cumulative",
        "NEGBINOM.DIST"
    ],
    [
        3,
        5,
        0.4,
        false,
        "=NEGBINOM.DIST(A2, B2, C2, D2)"
    ],
    [
        3,
        5,
        0.4,
        true,
        "=NEGBINOM.DIST(A3, B3, C3, D3)"
    ],
    [
        10,
        15,
        0.25,
        false,
        "=NEGBINOM.DIST(A4, B4, C4, D4)"
    ],
    [
        0,
        1,
        0.5,
        false,
        "=NEGBINOM.DIST(A5, B5, C5, D5)"
    ]
]
            }]
        });
    }
}