Difference between revisions of "ChiSquared Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}}
{{command|probability}}
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;ChiSquared( <Degrees of Freedom>, x )
;ChiSquared[ <Degrees of Freedom d>, x ]
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:Creates cumulative density function (cdf) of [[w:Chi-square distribution|Chi squared distribution]] with the appropriate degrees of freedom.
:Creates probability density function (pdf) of [[w:Chi-square distribution|Chi squared distribution]] with ''d'' degrees of freedom.
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;ChiSquared( <Degrees of Freedom>, x, <Boolean Cumulative> )
;ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]
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:If the logical value is ''true'', creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution.
:If ''Cumulative'' is true, creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution.
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;ChiSquared( <Degrees of Freedom>, <Variable Value> )
; ChiSquared[ <Degrees of Freedom d>, <Variable Value v> ]: Calculates the value of cumulative distribution function of Chi squared distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Chi squared distribution with ''d'' degrees of freedom.
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:Calculates the value of cumulative distribution function of Chi squared distribution at ''Variable Value'' ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with Chi squared distribution with the appropriate degrees of freedom.
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the Chi squared distribution curve to the left of the given ''x''-coordinate).}}
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:{{note| Returns the probability for a given ''x''-coordinate's value (or area under the Chi squared distribution curve to the left of the given ''x''-coordinate).}}
==CAS Syntaxes==
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:{{example|1=<code><nowiki>ChiSquared(4, 3)</nowiki></code> yields <math>\gamma(2, \frac{3}{2})</math>, which is approximately ''0.44''.}}
In [[CAS View]] only following syntax is supported:
 
;ChiSquared[<Degrees of Freedom d>, <Variable Value v>]
 
:Calculates the value of cumulative distribution function of Chi squared distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Chi squared distribution with ''d'' degrees of freedom.
 
:{{example|1=<div><code><nowiki>ChiSquared[4, 3]</nowiki></code> gives ''gamma(2, 3 / 2)'', which is approximately ''0.44''.</div>}}
 

Latest revision as of 10:15, 30 July 2019


ChiSquared( <Degrees of Freedom>, x )
Creates cumulative density function (cdf) of Chi squared distribution with the appropriate degrees of freedom.
ChiSquared( <Degrees of Freedom>, x, <Boolean Cumulative> )
If the logical value is true, creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution.
ChiSquared( <Degrees of Freedom>, <Variable Value> )
Calculates the value of cumulative distribution function of Chi squared distribution at Variable Value v, i.e. the probability P(X ≤ v) where X is a random variable with Chi squared distribution with the appropriate degrees of freedom.
Note: Returns the probability for a given x-coordinate's value (or area under the Chi squared distribution curve to the left of the given x-coordinate).
Example: ChiSquared(4, 3) yields \gamma(2, \frac{3}{2}), which is approximately 0.44.
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