“ChiSquared 指令”的版本间的差异

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<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|probability|ChiSquared}}
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<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|cas=true|probability|ChiSquared}}
 
;ChiSquared[ <Degrees of Freedom>, x ]
 
;ChiSquared[ <Degrees of Freedom>, x ]
 
:{{translate|ChiSquared Command}}
 
:{{translate|ChiSquared Command}}
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;ChiSquared[ <Degrees of Freedom>, x ]
 
;ChiSquared[ <Degrees of Freedom>, x ]
 
:{{translate|ChiSquared Command}}
 
:{{translate|ChiSquared Command}}
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;ChiSquared[ <Degrees of Freedom d>, x ]
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: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> ]
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: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 d>, <Variable Value v> ]
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: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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:{{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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==CAS Syntax==
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In [[CAS View]] only following syntax is supported:
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;ChiSquared[ <Degrees of Freedom d>, <Variable Value v> ]
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:Calculates the value of cumulative distribution function (cdf) 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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:{{example|1=<div><code><nowiki>ChiSquared[4, 3]</nowiki></code> yields <math>\gamma(2, \frac{3}{2})</math>, which is approximately ''0.44''.</div>}}

2011年9月29日 (四) 03:18的最新版本

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ChiSquared[ <Degrees of Freedom>, x ]
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ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ]
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ChiSquared[ <Degrees of Freedom>, <Variable Value> ]
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CAS 視窗

ChiSquared[ <Degrees of Freedom>, x ]
UnderConstruction.png
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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.
備註: 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 Syntax

In CAS View only following syntax is supported:

ChiSquared[ <Degrees of Freedom d>, <Variable Value v> ]
Calculates the value of cumulative distribution function (cdf) 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.
範例:
ChiSquared[4, 3] yields \gamma(2, \frac{3}{2}), which is approximately 0.44.
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