Difference between revisions of "ChiSquared Command"

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:Creates probability density function (pdf) of [[w:Chi-square distribution|Chi squared distribution]] with ''d'' degrees of freedom.
 
:Creates probability density function (pdf) of [[w:Chi-square distribution|Chi squared distribution]] with ''d'' degrees of freedom.
 
;ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]
 
;ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]
:If ''Cumulative'' is true, creates cumulative density 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.
 
; 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.
 
; 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.
 
:{{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).}}
 
:{{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).}}

Revision as of 10:24, 2 August 2011



ChiSquared[ <Degrees of Freedom d>, x ]
Creates probability density function (pdf) of Chi squared distribution with d degrees of freedom.
ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution.
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.
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

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.
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