T.DIST.2T function

PRO

The T.DIST.2T function in Jspreadsheet Formulas Pro is a statistical tool that provides the two-tailed Student's t-distribution. This function is particularly useful when you're trying to analyze a small sample of data. Essentially, it helps you understand the likelihood of a particular outcome occurring at both ends of your data spectrum. It's a handy feature for making predictions or assumptions based on limited information.

Documentation

Returns the two-tailed Student's t-distribution.

Syntax

T.DIST.2T(x, degrees_freedom)

Parameter	Description
`x`	The numeric value at which to evaluate the distribution.
`degrees_freedom`	The number of degrees of freedom.

Behavior

The T.DIST.2T function in Jspreadsheet calculates the two-tailed Student's t-distribution, commonly used in hypothesis testing. It requires two arguments:

x – the numeric input value (must be ≥ 0).
degrees_freedom – the degrees of freedom (must be ≥ 1).

If either argument is non-numeric, the function returns a #VALUE! error.
If x < 0 or degrees_freedom < 1, the function returns a #NUM! error.
Boolean values are converted to numbers (TRUE = 1, FALSE = 0).
Empty cells or text values return a #VALUE! error.

Common Errors

Error	Description
#NUM!	This error occurs if either the x value or the degrees of freedom is non-numeric. It also occurs if the degrees of freedom is less than 1 or if the x value is less than 0.
#VALUE!	This error is returned when the function receives a non-numeric value, including boolean values.

Best practices

Always ensure that both the x value and degrees of freedom are numeric. Non-numeric values will result in errors.

Be aware that the function does not handle empty cells, text, or boolean values. These will result in a #VALUE! error.

The degrees of freedom should be 1 or more, and the x value should be positive. Negative values for either of these parameters will result in a #NUM! error.

Use this function with care in hypothesis testing. Incorrect use can lead to inaccurate results.

Usage

A few examples using the T.DIST.2T function.

T.DIST.2T(1.5, 10) Returns approximately 0.1645 → probability of observing a value ≥ ±1.5 with 10 degrees of freedom.
T.DIST.2T(2, 8) Returns approximately 0.0805 → probability of observing a value ≥ ±2 with 8 degrees of freedom.
T.DIST.2T(TRUE, 5) Since TRUE = 1, this is equivalent to T.DIST.2T(1, 5), which returns approximately 0.3432.

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: [
    [
        "t-statistic",
        "degrees of freedom",
        "two-tailed p-value"
    ],
    [
        1.5,
        10,
        "=T.DIST.2T(A2,B2)"
    ],
    [
        2.3,
        15,
        "=T.DIST.2T(A3,B3)"
    ],
    [
        1.8,
        8,
        "=T.DIST.2T(A4,B4)"
    ],
    [
        2.1,
        12,
        "=T.DIST.2T(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('MDhkM2Q2MjhmMTkxZGYzODdlODEyYzk4ODA5YmViYzIzNTEzYTE2ZjJhMGUwYmZmNzcyMGIxNjE0ZDJhZmIwYjJkYmFiZmVkOTJmNDVkNWE5ODA4MTc4MGNmMDZmYTc1YmZiMjlkNDcyMGVhM2IxNzEyZjA4ODYwNGE4MGIyYzQsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVMk56a3pNVGt4TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

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

    // Worksheet data
    const data = [
    [
        "t-statistic",
        "degrees of freedom",
        "two-tailed p-value"
    ],
    [
        1.5,
        10,
        "=T.DIST.2T(A2,B2)"
    ],
    [
        2.3,
        15,
        "=T.DIST.2T(A3,B3)"
    ],
    [
        1.8,
        8,
        "=T.DIST.2T(A4,B4)"
    ],
    [
        2.1,
        12,
        "=T.DIST.2T(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 = [
    [
        "t-statistic",
        "degrees of freedom",
        "two-tailed p-value"
    ],
    [
        1.5,
        10,
        "=T.DIST.2T(A2,B2)"
    ],
    [
        2.3,
        15,
        "=T.DIST.2T(A3,B3)"
    ],
    [
        1.8,
        8,
        "=T.DIST.2T(A4,B4)"
    ],
    [
        2.1,
        12,
        "=T.DIST.2T(A5,B5)"
    ]
]

        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: [
    [
        "t-statistic",
        "degrees of freedom",
        "two-tailed p-value"
    ],
    [
        1.5,
        10,
        "=T.DIST.2T(A2,B2)"
    ],
    [
        2.3,
        15,
        "=T.DIST.2T(A3,B3)"
    ],
    [
        1.8,
        8,
        "=T.DIST.2T(A4,B4)"
    ],
    [
        2.1,
        12,
        "=T.DIST.2T(A5,B5)"
    ]
]
            }]
        });
    }
}

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