| Property | Value |
|---|---|
| Hex Value | $BB1E |
| Categories | |
| Localizations |
|
𝐅pdf(
Overview
Computes the 𝐅 distribution probability between lowerboundand upperbound for the specified numerator df (degrees of freedom) and denominator df.
Availability: Token available everywhere.
Syntax
𝐅pdf(x,numerator df,denominator df)
Arguments
| Name | Type | Optional |
|---|---|---|
| 𝐅 | ||
| x | ||
| numerator df | ||
| denominator df |
Location
2nd, distr, DISTR, 9:pdf(
Description
Fpdf( is the F-distribution probability density function.
Since the F-distribution is continuous, the value of Fpdf( doesn't represent an actual probability - in fact, one of the only uses for this command is to draw a graph of the distribution. You could also use it for various calculus purposes, such as finding inflection points.
The command takes 3 arguments: x is the point at which to evaluate the function (when graphing, use X for this argument), numerator df and denominator df are the numerator degrees of freedom and denominator degrees of freedom respectively (these specify a single Fpdf( curve out of an infinite family).
The F-distribution is used mainly in significance tests of variance.
Formulas
The value of the Fpdf( is given by
(1) \(\begin{align} \texttt{Fpdf}(x,d_1,d_2) = \frac{\left( \frac{d_1x}{d_1x+d_2} \right)^{d_1/2} \left(1-\frac{d_1x}{d_1x+d_2}\right)^{d_2/2}}{x \texttt{B}(d_1/2,d_2/2)} \end{align}\)
where B(x,y) is the Beta function.
Related Commands
Source: parts of this page were written by the following TI|BD contributors: burr, DarkerLine, GoVegan, kg583.
History
| Calculator | OS Version | Description |
|---|---|---|
| TI-83 | 0.01013 | Added |
Created: February 23, 2023 23:15:01