T.INV function
PRO
In Jspreadsheet Formulas Pro, the T.INV function is used to calculate the inverse of the one-tailed probability of a Student's t-distribution. Essentially, this function is handy when you want to determine the t-value for a given significance level and degree of freedom. This is especially useful in statistical analysis, where t-values are commonly used to test hypotheses. In short, T.INV helps you to determine the value below which a specified percentage of the data falls.
Documentation
Returns the inverse of the one-tailed probability of a Student's t-distribution.
Category
Statistical
Syntax
T.INV(probability, degrees_freedom)
| Parameter | Description |
|---|---|
probability |
The probability associated with the one-tailed Student's t-distribution. |
degrees_freedom |
The number of degrees of freedom for the t-distribution. Must be a positive integer. |
Behavior
The T.INV function returns the left-tailed inverse of the Student's t-distribution. The function takes two arguments: the probability and the degrees of freedom. The function expects both arguments to be numerical values.
- If the cell is empty, the function treats it as zero.
- Text values or boolean values in arguments return an error.
- The function also returns an error if the degrees of freedom is less than one or the probability is not between zero and one.
- In case of error values in either of the arguments, the function propagates the error.
Common Errors
| Error | Description |
|---|---|
| #VALUE! | Occurs if either of the supplied arguments are non-numeric. |
| #NUM! | Occurs if the supplied probability is < 0 or > 1, or if the supplied degrees_freedom < 1. |
Best practices
- Always ensure that the probability and degrees of freedom are numeric and meet the criteria (probability between 0 and 1, degrees of freedom >= 1) to avoid errors.
- It is recommended to use cell references instead of direct numerical inputs for the function's arguments to maintain data accuracy and consistency.
- Be aware of the fact that this function assumes a continuous distribution. It may not be accurate for very small or very large degrees of freedom.
- Always validate your data before using it in the function to avoid unexpected errors.
- For two-tailed tests, consider using the T.INV.2T function instead.
Usage
A few examples using the T.INV function.
T.INV(0.05, 10) // Returns the t-value where 5% of the distribution is below, with 10 degrees of freedom
T.INV(0.1, 5) // Returns the critical value for a one-tailed test at 10% significance level with 5 df
T.INV(0.025, 20) // Returns the t-value corresponding to the 2.5% lower tail with 20 df
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: [
[
"Probability",
"Degrees of Freedom",
"T.INV Result"
],
[
0.05,
10,
"=T.INV(A2,B2)"
],
[
0.1,
5,
"=T.INV(A3,B3)"
],
[
0.025,
20,
"=T.INV(A4,B4)"
],
[
0.01,
15,
"=T.INV(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('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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 = [
[
"Probability",
"Degrees of Freedom",
"T.INV Result"
],
[
0.05,
10,
"=T.INV(A2,B2)"
],
[
0.1,
5,
"=T.INV(A3,B3)"
],
[
0.025,
20,
"=T.INV(A4,B4)"
],
[
0.01,
15,
"=T.INV(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",
"Degrees of Freedom",
"T.INV Result"
],
[
0.05,
10,
"=T.INV(A2,B2)"
],
[
0.1,
5,
"=T.INV(A3,B3)"
],
[
0.025,
20,
"=T.INV(A4,B4)"
],
[
0.01,
15,
"=T.INV(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: [
[
"Probability",
"Degrees of Freedom",
"T.INV Result"
],
[
0.05,
10,
"=T.INV(A2,B2)"
],
[
0.1,
5,
"=T.INV(A3,B3)"
],
[
0.025,
20,
"=T.INV(A4,B4)"
],
[
0.01,
15,
"=T.INV(A5,B5)"
]
]
}]
});
}
}