KermMartian at 19:37, 24 February 2016

2016-02-24T19:37:15Z

← Older revision		Revision as of 19:37, 24 February 2016
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	The value of the Fpdf( is given by		The value of the Fpdf( is given by

	~~[[TI-BASIC:Math\|Math]]~~		<math>
	\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}		\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}
	\operatorname{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 \operatorname{B}(d_1/2,d_2/2)}		\operatorname{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 \operatorname{B}(d_1/2,d_2/2)}
	~~[[TI-BASIC:~~/math~~\|/math]]~~		</math>

	Here, B is the [wikipedia:beta_function Beta function].		Here, B is the [wikipedia:beta_function Beta function].

Maintenance script: Initial automated import

2016-02-24T18:39:31Z

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New page

{{Template:TI-BASIC:Command
|picture=FPDF.GIF
|summary=Evaluates the F-distribution probability density function at a point.
|syntax=Fpdf(''x'', ''numerator df'', ''denominator df'')
|location=Press:
# 2ND DISTR to access the distribution menu
# 8 to select Fpdf(, or use arrows.
Press 9 instead of 8 on a TI-84+/SE with OS 2.30 or higher.
|compatibility=TI-83/84/+/SE
|size=2 bytes
}}

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

[[TI-BASIC:Math|Math]]
\definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen}
\operatorname{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 \operatorname{B}(d_1/2,d_2/2)}
[[TI-BASIC:/math|/math]]

Here, B is the [wikipedia:beta_function Beta function].

= Related Commands =

* [[TI-BASIC:Fcdf|Fcdf(]]
* [[TI-BASIC:Shadef|ShadeF(]][[Category:TI-BASIC]]
[[Category:TIBD]]

TI-BASIC:Fpdf - Revision history

KermMartian at 19:37, 24 February 2016

Maintenance script: Initial automated import