FINV function

PRO

The FINV function in Jspreadsheet Formulas Pro returns the inverse of the F probability distribution: the value x whose cumulative probability equals the given probability. In Jspreadsheet it evaluates the left-tailed inverse and returns the same value as F.INV. This differs from Excel, where the compatibility function FINV returns the right-tailed inverse. Spreadsheets that rely on the Excel behavior should use F.INV.RT instead.

Documentation

Returns the inverse of the F probability distribution for a specified probability and degrees of freedom.

Category

Statistical

Syntax

FINV(probability, degrees_freedom1, degrees_freedom2)

Parameter Description
probability The cumulative probability, between 0 and 1.
degrees_freedom1 The numerator degrees of freedom. Must be at least 1.
degrees_freedom2 The denominator degrees of freedom. Must be at least 1.

Behavior

The FINV function returns the value x such that F.DIST(x, df1, df2, TRUE) equals probability. It is the left-tailed inverse.

  • FINV(0.05, 3, 5) returns 0.110945, the same as F.INV(0.05, 3, 5). Excel returns 5.409451 for the same call, which in Jspreadsheet is obtained with F.INV.RT(0.05, 3, 5) or F.INV(0.95, 3, 5).
  • probability 0 returns 0. Values above 1, and exactly 1, return #NUM!.
  • Both degrees of freedom must be at least 1. Otherwise the function returns #NUM!.
  • Text arguments return #VALUE!.

Common Errors

Error Description
#NUM! Returned when probability is negative or greater than or equal to 1, or when either degrees of freedom is less than 1.
#VALUE! Returned when an argument is text that cannot be interpreted as a number.

Best practices

  • Keep probability below 1. Exactly 1 and larger values return #NUM!.
  • Validate the input cells so that both degrees of freedom are at least 1.
  • Use absolute references for the degrees of freedom cells when copying the formula down a column of probability values, for example $B$1.
  • Check with ISNUMBER that the input cells hold numbers, because text returns #VALUE!.

Usage

A few examples using the FINV function.

FINV(0.05, 3, 5)
// Returns 0.110945, the left-tailed inverse (same as F.INV)

F.INV.RT(0.05, 3, 5)
// Returns 5.409451, the right-tailed inverse that Excel returns for FINV(0.05, 3, 5)

FINV(0.01, 10, 20)
// Returns 0.226994

FINV(1.5, 3, 5)
// Returns #NUM! because the probability is above 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: [
    [
        "probability",
        "df1",
        "df2",
        "FINV"
    ],
    [
        0.05,
        3,
        5,
        "=FINV(A2, B2, C2)"
    ],
    [
        0.95,
        3,
        5,
        "=FINV(A3, B3, C3)"
    ],
    [
        0.01,
        10,
        20,
        "=FINV(A4, B4, C4)"
    ],
    [
        0.025,
        4,
        6,
        "=FINV(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('MWUwMzQ0NTljZTgxMDlhMzBlMmUxNTQ0Yjg1OWU5NDhjOGFhM2VhMDE3OTIzNDFiZTcwODhjYTZiODlkN2QwYjY0N2ZlZTU3ZWU3ODk5MGNkM2E2ZjBkY2U4N2U3NDE5ZjJmNDRiMGM4N2RjM2EyMTFmNjdhNTQzOGIwMjczYzAsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpreE9UUTJNek14TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2liRzlqWVd4b2IzTjBJbDBzSW5Cc1lXNGlPaUl6TkNJc0luTmpiM0JsSWpwYkluWTNJaXdpZGpnaUxDSjJPU0lzSW5ZeE1DSXNJbll4TVNJc0luWXhNaUlzSW5ZeE15SXNJbU5vWVhKMGN5SXNJbVp2Y20xeklpd2labTl5YlhWc1lTSXNJbkJoY25ObGNpSXNJbkpsYm1SbGNpSXNJbU52YlcxbGJuUnpJaXdpYVcxd2IzSjBaWElpTENKaVlYSWlMQ0oyWVd4cFpHRjBhVzl1Y3lJc0luTmxZWEpqYUNJc0luQnlhVzUwSWl3aWMyaGxaWFJ6SWl3aVkyeHBaVzUwSWl3aWMyVnlkbVZ5SWl3aWMyaGhjR1Z6SWl3aVptOXliV0YwSWl3aWNHbDJiM1FpWFN3aVpHVnRieUk2ZEhKMVpYMD0=');

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

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "probability",
        "df1",
        "df2",
        "FINV"
    ],
    [
        0.05,
        3,
        5,
        "=FINV(A2, B2, C2)"
    ],
    [
        0.95,
        3,
        5,
        "=FINV(A3, B3, C3)"
    ],
    [
        0.01,
        10,
        20,
        "=FINV(A4, B4, C4)"
    ],
    [
        0.025,
        4,
        6,
        "=FINV(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",
        "df1",
        "df2",
        "FINV"
    ],
    [
        0.05,
        3,
        5,
        "=FINV(A2, B2, C2)"
    ],
    [
        0.95,
        3,
        5,
        "=FINV(A3, B3, C3)"
    ],
    [
        0.01,
        10,
        20,
        "=FINV(A4, B4, C4)"
    ],
    [
        0.025,
        4,
        6,
        "=FINV(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: [
    [
        "probability",
        "df1",
        "df2",
        "FINV"
    ],
    [
        0.05,
        3,
        5,
        "=FINV(A2, B2, C2)"
    ],
    [
        0.95,
        3,
        5,
        "=FINV(A3, B3, C3)"
    ],
    [
        0.01,
        10,
        20,
        "=FINV(A4, B4, C4)"
    ],
    [
        0.025,
        4,
        6,
        "=FINV(A5, B5, C5)"
    ]
]
            }]
        });
    }
}