NEGBINOMDIST function

PRO

The NEGBINOMDIST function in Jspreadsheet Formulas Pro is used to calculate the negative binomial distribution. In simpler terms, it helps you figure out the likelihood of experiencing a specific number of failures before achieving a certain number of successes, given a fixed probability of success. This function can be incredibly helpful, particularly in situations where you need to predict outcomes over multiple trials or events.

Documentation

Returns the negative binomial distribution, which is the probability that there will be k failures before the rth success, with probability p of success.

Syntax

NEGBINOMDIST(number_f, number_s, probability_s)

Parameter	Description
`number_f`	The number of failures.
`number_s`	The threshold number of successes.
`probability_s`	The probability of a success.

Behavior

The NEGBINOMDIST function calculates the negative binomial distribution, which is a probability that describes the number of failures in a sequence of independent and identically distributed Bernoulli trials before a specified number of successes occurs.

The function takes three arguments: number of failures, number of successes, and the probability of success on each trial.

If any of the arguments are empty cells, the function will return an error.
The function does not process text inputs and will return an error if any argument is a text.
Boolean values are treated as numbers. Therefore, TRUE is regarded as 1 and FALSE as 0
If an error occurs in one of the cells referenced in the function, it will propagate that error.
The function expects the number of failures and successes to be non-negative integers and the probability of success to be a number between 0 and 1 inclusive. If these conditions are not met, the function will return an error.

Common Errors

Error	Description
#VALUE!	This error is returned if any of the input arguments are non-numeric, boolean, or text.
#NUM!	This error is returned if the number of successes is less than 1, the number of failures is less than 0, or the probability of success is less than 0 or greater than 1.
#N/A	This error is returned if the required arguments are not provided.

Best practices

Always ensure that the input arguments are numeric. The function doesn't handle text or boolean values.

Be careful with the values you input for number of successes and number of failures. They should be non-negative integers, and the number of successes should be at least 1.

Ensure that the probability of success is a number between 0 and 1 inclusive. Any value outside this range will result in an error.

To avoid errors, it's recommended to check the data types and ranges of your input data before using them in the NEGBINOMDIST function.

Usage

A few examples using the NEGBINOMDIST function.

NEGBINOMDIST(3,5,0.4) → 0.0774144   // Probability of 3 failures before 5 successes with p=0.4  
NEGBINOMDIST(0,3,0.5) → 0.125    // Probability of 0 failures before 3 successes with p=0.5

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: [
    [
        "Failures (k)",
        "Successes (r)",
        "Probability (p)",
        "Neg. Binomial Dist"
    ],
    [
        3,
        5,
        0.4,
        "=NEGBINOMDIST(A2,B2,C2)"
    ],
    [
        8,
        10,
        0.3,
        "=NEGBINOMDIST(A3,B3,C3)"
    ],
    [
        12,
        15,
        0.25,
        "=NEGBINOMDIST(A4,B4,C4)"
    ],
    [
        6,
        8,
        0.6,
        "=NEGBINOMDIST(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 = [
    [
        "Failures (k)",
        "Successes (r)",
        "Probability (p)",
        "Neg. Binomial Dist"
    ],
    [
        3,
        5,
        0.4,
        "=NEGBINOMDIST(A2,B2,C2)"
    ],
    [
        8,
        10,
        0.3,
        "=NEGBINOMDIST(A3,B3,C3)"
    ],
    [
        12,
        15,
        0.25,
        "=NEGBINOMDIST(A4,B4,C4)"
    ],
    [
        6,
        8,
        0.6,
        "=NEGBINOMDIST(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('ZmM5MDY5YjRhZDVmMzU2OGEwMTVlNWU4MzQwNGVkOTQ4MTVlMTY4YTUyZGRlMTA0NWMyYTUxN2Y2MWRiOTIwMTkwMGNiODJhZmM1OTVhZmMwOWYxOTllMzFhNjg5ZmZmMGVlNzQ5ZTc3NTA4ZmI4YTc0NjJiNDY0M2U5NGIyMDEsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVNE56YzBPRFExTENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Failures (k)",
        "Successes (r)",
        "Probability (p)",
        "Neg. Binomial Dist"
    ],
    [
        3,
        5,
        0.4,
        "=NEGBINOMDIST(A2,B2,C2)"
    ],
    [
        8,
        10,
        0.3,
        "=NEGBINOMDIST(A3,B3,C3)"
    ],
    [
        12,
        15,
        0.25,
        "=NEGBINOMDIST(A4,B4,C4)"
    ],
    [
        6,
        8,
        0.6,
        "=NEGBINOMDIST(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('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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: [
    [
        "Failures (k)",
        "Successes (r)",
        "Probability (p)",
        "Neg. Binomial Dist"
    ],
    [
        3,
        5,
        0.4,
        "=NEGBINOMDIST(A2,B2,C2)"
    ],
    [
        8,
        10,
        0.3,
        "=NEGBINOMDIST(A3,B3,C3)"
    ],
    [
        12,
        15,
        0.25,
        "=NEGBINOMDIST(A4,B4,C4)"
    ],
    [
        6,
        8,
        0.6,
        "=NEGBINOMDIST(A5,B5,C5)"
    ]
]
            }]
        });
    }
}

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