Difference between revisions of "FDistribution Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|cas=true|probability}}
 
{{command|cas=true|probability}}
;FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x ]
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;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ]
:Creates probability density function (pdf) of [[w:F-distribution|F-distribution]] with parameters ''n, d''.
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:Creates probability density function (pdf) of [[w:F-distribution|F-distribution]] with parameters ''n, d'' (''n'' for ''Numerator Degrees of Freedom'', ''d'' for ''Denominator Degrees of Freedom'').
;FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x, <Boolean Cumulative> ]
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;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ]
 
:If ''Cumulative'' is true, creates cumulative distribution function of F-distribution, otherwise creates pdf of F-distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution function of F-distribution, otherwise creates pdf of F-distribution.
;FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]
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;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, <Variable Value> ]
:Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''.
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:Calculates the value of cumulative distribution function of F-distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d'' (''n'' for ''Numerator Degrees of Freedom'', ''d'' for ''Denominator Degrees of Freedom'').
 
:{{note| 1=Returns the probability for a given ''x''-coordinate's value (or area under the F-distribution curve to the left of the given ''x''-coordinate).}}
 
:{{note| 1=Returns the probability for a given ''x''-coordinate's value (or area under the F-distribution curve to the left of the given ''x''-coordinate).}}
 
==CAS Syntax==
 
==CAS Syntax==
;FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]
+
;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, <Variable Value> ]
:Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''.
+
:Calculates the value of cumulative distribution function of F-distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d'' (''n'' for ''Numerator Degrees of Freedom'', ''d'' for ''Denominator Degrees of Freedom'').

Revision as of 09:55, 8 July 2013



FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ]
Creates probability density function (pdf) of F-distribution with parameters n, d (n for Numerator Degrees of Freedom, d for Denominator Degrees of Freedom).
FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative distribution function of F-distribution, otherwise creates pdf of F-distribution.
FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, <Variable Value> ]
Calculates the value of cumulative distribution function of F-distribution at Variable Value v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d (n for Numerator Degrees of Freedom, d for Denominator Degrees of Freedom).
Note: Returns the probability for a given x-coordinate's value (or area under the F-distribution curve to the left of the given x-coordinate).

CAS Syntax

FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, <Variable Value> ]
Calculates the value of cumulative distribution function of F-distribution at Variable Value v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d (n for Numerator Degrees of Freedom, d for Denominator Degrees of Freedom).
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