CHISQ.DIST.RT function

PRO

In Jspreadsheet Formulas Pro, the function CHISQ.DIST.RT is used to calculate the one-tailed probability of the chi-squared distribution. This is a statistical measurement often used in hypothesis testing. Essentially, this function calculates the probability that a chi-squared statistic will be more than a specified value. It is useful in various data analysis and statistical applications.

Documentation

Returns the one-tailed probability of the chi-squared distribution.

Syntax

CHISQ.DIST.RT(x, degrees_freedom)

Parameter	Description
`x`	The value at which you want to evaluate the distribution.
`degrees_freedom`	The number of degrees of freedom of the distribution. Must be a positive integer.

Behavior

The CHISQ.DIST.RT function calculates the right-tailed probability of the chi-squared distribution. This function requires two arguments: x and deg_freedom. x is the value at which you want to evaluate the distribution and deg_freedom is the number of degrees of freedom.

If x is non-numeric, CHISQ.DIST.RT will return a #VALUE! error.
If x is less than 0, CHISQ.DIST.RT will return a #NUM! error.
If degrees_freedom is a decimal, it is truncated. However, you should always use a positive integer to ensure valid statistical interpretation.
If deg_freedom is less than 1 or greater than 10^10, CHISQ.DIST.RT will return a #NUM! error.
If deg_freedom is non-numeric, CHISQ.DIST.RT will return a #VALUE! error.
Empty cells are treated as zeros.

Common Errors

Error	Description
#VALUE!	Occurs if either `x` or `deg_freedom` is non-numeric.
#NUM!	Occurs if `x` is less than 0, or `deg_freedom` is less than 1 or greater than 10^10.

Best practices

Always ensure that your x values are non-negative and deg_freedom is between 1 and 10^10, both inclusive.

Remember that non-integer deg_freedom values will be truncated.

Use error checking functions such as ISERROR or IFERROR to handle possible errors that may arise from non-numeric or out-of-range inputs.

Be cautious when using cell references or ranges as function arguments to avoid unintentional inclusion of non-numeric values or empty cells.

Usage

A few examples using the CHISQ.DIST.RT function.

CHISQ.DIST.RT(2.5, 4)   // Returns ≈ 0.644, probability of observing a value greater than 2.5 with 4 degrees of freedom  
CHISQ.DIST.RT(6, 8)     // Returns ≈ 0.647, right-tailed probability with 8 degrees of freedom  
CHISQ.DIST.RT(1, 1)     // Returns ≈ 0.317, common test case for 1 degree of freedom  
CHISQ.DIST.RT(10, 2)    // Returns a small value (≈ 0.0067), indicating rare occurrence under the null hypothesis

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: [
    [
        "Chi-Square Value",
        "Degrees of Freedom",
        "Right-tail Probability"
    ],
    [
        2.5,
        4,
        "=CHISQ.DIST.RT(A2,B2)"
    ],
    [
        6.25,
        3,
        "=CHISQ.DIST.RT(A3,B3)"
    ],
    [
        1.5,
        2,
        "=CHISQ.DIST.RT(A4,B4)"
    ],
    [
        8.1,
        5,
        "=CHISQ.DIST.RT(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('ZGYwOWQ3NWMwYzgxMmIxMThkZjFmNmE0YjAyZmVlMWU1NDUyNTVlZDY1MDVmNjA3OWEzNjczMTMyOTQ5MjczMWM1YTNjZTRiMTE3ZGM1ZGJiYmY5ZmFiMmE1NGU4MzA0NmNlYjA3MDA4ZDU0MjRjYmEzZTFhZmQ0NDVmNGI2YjQsZXlKamJHbGxiblJKWkNJNklpSXNJbTVoYldVaU9pSktjM0J5WldGa2MyaGxaWFFpTENKa1lYUmxJam94TnpVM01ETXhNekl6TENKa2IyMWhhVzRpT2xzaWFuTndjbVZoWkhOb1pXVjBMbU52YlNJc0ltTnZaR1Z6WVc1a1ltOTRMbWx2SWl3aWFuTm9aV3hzTG01bGRDSXNJbU56WWk1aGNIQWlMQ0p6ZEdGamEySnNhWFI2TG1sdklpd2lkMlZpWTI5dWRHRnBibVZ5TG1sdklpd2lkMlZpSWl3aWJHOWpZV3hvYjNOMElsMHNJbkJzWVc0aU9pSXpOQ0lzSW5OamIzQmxJanBiSW5ZM0lpd2lkamdpTENKMk9TSXNJbll4TUNJc0luWXhNU0lzSW1Ob1lYSjBjeUlzSW1admNtMXpJaXdpWm05eWJYVnNZU0lzSW5CaGNuTmxjaUlzSW5KbGJtUmxjaUlzSW1OdmJXMWxiblJ6SWl3aWFXMXdiM0owWlhJaUxDSmlZWElpTENKMllXeHBaR0YwYVc5dWN5SXNJbk5sWVhKamFDSXNJbkJ5YVc1MElpd2ljMmhsWlhSeklpd2lZMnhwWlc1MElpd2ljMlZ5ZG1WeUlpd2ljMmhoY0dWeklpd2labTl5YldGMElsMHNJbVJsYlc4aU9uUnlkV1Y5');

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

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

    // Worksheet data
    const data = [
    [
        "Chi-Square Value",
        "Degrees of Freedom",
        "Right-tail Probability"
    ],
    [
        2.5,
        4,
        "=CHISQ.DIST.RT(A2,B2)"
    ],
    [
        6.25,
        3,
        "=CHISQ.DIST.RT(A3,B3)"
    ],
    [
        1.5,
        2,
        "=CHISQ.DIST.RT(A4,B4)"
    ],
    [
        8.1,
        5,
        "=CHISQ.DIST.RT(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 = [
    [
        "Chi-Square Value",
        "Degrees of Freedom",
        "Right-tail Probability"
    ],
    [
        2.5,
        4,
        "=CHISQ.DIST.RT(A2,B2)"
    ],
    [
        6.25,
        3,
        "=CHISQ.DIST.RT(A3,B3)"
    ],
    [
        1.5,
        2,
        "=CHISQ.DIST.RT(A4,B4)"
    ],
    [
        8.1,
        5,
        "=CHISQ.DIST.RT(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: [
    [
        "Chi-Square Value",
        "Degrees of Freedom",
        "Right-tail Probability"
    ],
    [
        2.5,
        4,
        "=CHISQ.DIST.RT(A2,B2)"
    ],
    [
        6.25,
        3,
        "=CHISQ.DIST.RT(A3,B3)"
    ],
    [
        1.5,
        2,
        "=CHISQ.DIST.RT(A4,B4)"
    ],
    [
        8.1,
        5,
        "=CHISQ.DIST.RT(A5,B5)"
    ]
]
            }]
        });
    }
}

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