DocumentationFormulasFunctionsTinv

TINV function

PRO

The TINV function in Jspreadsheet Formulas Pro returns the inverse of the Student's t-distribution: the t value whose cumulative probability equals the given probability. In Jspreadsheet it evaluates the left-tailed inverse and returns the same value as T.INV. This differs from Excel, where the compatibility function TINV returns the two-tailed inverse. Spreadsheets that rely on the Excel behavior should use T.INV.2T instead.

Documentation

Returns the inverse of the Student's t-distribution.

Category

Statistical

Syntax

TINV(probability, deg_freedom)

Parameter Description
probability The cumulative probability, strictly between 0 and 1.
deg_freedom The number of degrees of freedom. Must be at least 1.

Behavior

The TINV function returns the value t such that T.DIST(t, deg_freedom, TRUE) equals probability. It is the left-tailed inverse.

  • TINV(0.05, 10) returns -1.812461, the same as T.INV(0.05, 10). Excel returns 2.228139 for the same call, which in Jspreadsheet is obtained with T.INV.2T(0.05, 10) or T.INV(0.975, 10).
  • probability must be strictly between 0 and 1. Both 0 and 1 return #NUM!.
  • deg_freedom must be at least 1. Non-integer values are accepted and evaluated as given.
  • Text arguments return #VALUE!.

Common Errors

Error Description
#NUM! Returned when probability is less than or equal to 0 or greater than or equal to 1, or when deg_freedom is less than 1.
#VALUE! Returned when an argument is text that cannot be interpreted as a number.

Best practices

  • Keep probability strictly between 0 and 1. Exactly 0 or 1 returns #NUM!, so clamp inputs from data with MIN and MAX or handle them with IFERROR.
  • Validate the input cells so that deg_freedom is at least 1.
  • Use absolute references for the deg_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 TINV function.

TINV(0.05, 10)
// Returns -1.812461, the left-tailed inverse (same as T.INV)

T.INV.2T(0.05, 10)
// Returns 2.228139, the two-tailed inverse that Excel returns for TINV(0.05, 10)

TINV(0.05, 30)
// Returns -1.697261

TINV(1.5, 10)
// 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('ZGE2M2I4ZGNkZmFmZjdjMTJmNWU3YTcyNzUwZWE5MWI0MjAzZWQ1ZTFlYzNlYjVlYjM3OWJkNzZiOWRmN2UyMTcwNDE0M2RmMjg2ZTY0OTYwMDQ5NjM1Y2Q3ODIxZjRlMWExNTBlOTJhM2VjMTgwODZlN2ZhYjNiMmQzNzMwY2IsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpreE9EVXpNRGd6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2liRzlqWVd4b2IzTjBJbDBzSW5Cc1lXNGlPaUl6TkNJc0luTmpiM0JsSWpwYkluWTNJaXdpZGpnaUxDSjJPU0lzSW5ZeE1DSXNJbll4TVNJc0luWXhNaUlzSW5ZeE15SXNJbU5vWVhKMGN5SXNJbVp2Y20xeklpd2labTl5YlhWc1lTSXNJbkJoY25ObGNpSXNJbkpsYm1SbGNpSXNJbU52YlcxbGJuUnpJaXdpYVcxd2IzSjBaWElpTENKaVlYSWlMQ0oyWVd4cFpHRjBhVzl1Y3lJc0luTmxZWEpqYUNJc0luQnlhVzUwSWl3aWMyaGxaWFJ6SWl3aVkyeHBaVzUwSWl3aWMyVnlkbVZ5SWl3aWMyaGhjR1Z6SWl3aVptOXliV0YwSWl3aWNHbDJiM1FpWFN3aVpHVnRieUk2ZEhKMVpYMD0=');

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

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "probability",
        "deg_freedom",
        "TINV"
    ],
    [
        0.05,
        10,
        "=TINV(A2, B2)"
    ],
    [
        0.5,
        10,
        "=TINV(A3, B3)"
    ],
    [
        0.975,
        10,
        "=TINV(A4, B4)"
    ],
    [
        0.05,
        30,
        "=TINV(A5, B5)"
    ]
]
  }]
});
</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('ZGE2M2I4ZGNkZmFmZjdjMTJmNWU3YTcyNzUwZWE5MWI0MjAzZWQ1ZTFlYzNlYjVlYjM3OWJkNzZiOWRmN2UyMTcwNDE0M2RmMjg2ZTY0OTYwMDQ5NjM1Y2Q3ODIxZjRlMWExNTBlOTJhM2VjMTgwODZlN2ZhYjNiMmQzNzMwY2IsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpreE9EVXpNRGd6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2liRzlqWVd4b2IzTjBJbDBzSW5Cc1lXNGlPaUl6TkNJc0luTmpiM0JsSWpwYkluWTNJaXdpZGpnaUxDSjJPU0lzSW5ZeE1DSXNJbll4TVNJc0luWXhNaUlzSW5ZeE15SXNJbU5vWVhKMGN5SXNJbVp2Y20xeklpd2labTl5YlhWc1lTSXNJbkJoY25ObGNpSXNJbkpsYm1SbGNpSXNJbU52YlcxbGJuUnpJaXdpYVcxd2IzSjBaWElpTENKaVlYSWlMQ0oyWVd4cFpHRjBhVzl1Y3lJc0luTmxZWEpqYUNJc0luQnlhVzUwSWl3aWMyaGxaWFJ6SWl3aVkyeHBaVzUwSWl3aWMyVnlkbVZ5SWl3aWMyaGhjR1Z6SWl3aVptOXliV0YwSWl3aWNHbDJiM1FpWFN3aVpHVnRieUk2ZEhKMVpYMD0=');

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

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

    // Worksheet data
    const data = [
    [
        "probability",
        "deg_freedom",
        "TINV"
    ],
    [
        0.05,
        10,
        "=TINV(A2, B2)"
    ],
    [
        0.5,
        10,
        "=TINV(A3, B3)"
    ],
    [
        0.975,
        10,
        "=TINV(A4, B4)"
    ],
    [
        0.05,
        30,
        "=TINV(A5, B5)"
    ]
];

    // 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",
        "deg_freedom",
        "TINV"
    ],
    [
        0.05,
        10,
        "=TINV(A2, B2)"
    ],
    [
        0.5,
        10,
        "=TINV(A3, B3)"
    ],
    [
        0.975,
        10,
        "=TINV(A4, B4)"
    ],
    [
        0.05,
        30,
        "=TINV(A5, B5)"
    ]
]

        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('ZGE2M2I4ZGNkZmFmZjdjMTJmNWU3YTcyNzUwZWE5MWI0MjAzZWQ1ZTFlYzNlYjVlYjM3OWJkNzZiOWRmN2UyMTcwNDE0M2RmMjg2ZTY0OTYwMDQ5NjM1Y2Q3ODIxZjRlMWExNTBlOTJhM2VjMTgwODZlN2ZhYjNiMmQzNzMwY2IsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpreE9EVXpNRGd6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2liRzlqWVd4b2IzTjBJbDBzSW5Cc1lXNGlPaUl6TkNJc0luTmpiM0JsSWpwYkluWTNJaXdpZGpnaUxDSjJPU0lzSW5ZeE1DSXNJbll4TVNJc0luWXhNaUlzSW5ZeE15SXNJbU5vWVhKMGN5SXNJbVp2Y20xeklpd2labTl5YlhWc1lTSXNJbkJoY25ObGNpSXNJbkpsYm1SbGNpSXNJbU52YlcxbGJuUnpJaXdpYVcxd2IzSjBaWElpTENKaVlYSWlMQ0oyWVd4cFpHRjBhVzl1Y3lJc0luTmxZWEpqYUNJc0luQnlhVzUwSWl3aWMyaGxaWFJ6SWl3aVkyeHBaVzUwSWl3aWMyVnlkbVZ5SWl3aWMyaGhjR1Z6SWl3aVptOXliV0YwSWl3aWNHbDJiM1FpWFN3aVpHVnRieUk2ZEhKMVpYMD0=');

// 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",
        "deg_freedom",
        "TINV"
    ],
    [
        0.05,
        10,
        "=TINV(A2, B2)"
    ],
    [
        0.5,
        10,
        "=TINV(A3, B3)"
    ],
    [
        0.975,
        10,
        "=TINV(A4, B4)"
    ],
    [
        0.05,
        30,
        "=TINV(A5, B5)"
    ]
]
            }]
        });
    }
}