Difference between revisions of "ChiSquared Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | ||
| − | ;ChiSquared | + | ;ChiSquared( <Degrees of Freedom>, x ) |
:Creates probability density function (pdf) 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 the appropriate degrees of freedom. | ||
| − | ;ChiSquared | + | ;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. | :If the logical value is ''true'', creates cumulative distribution function of Chi squared distribution, otherwise creates pdf of Chi squared distribution. | ||
| − | ;ChiSquared | + | ;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. | :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).}} | :{{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|1=<div><code><nowiki>ChiSquared[4, 3]</nowiki></code> yields <math>\gamma(2, \frac{3}{2})</math>, which is approximately ''0.44''.</div>}} | :{{example|1=<div><code><nowiki>ChiSquared[4, 3]</nowiki></code> yields <math>\gamma(2, \frac{3}{2})</math>, which is approximately ''0.44''.</div>}} | ||
Revision as of 17:15, 7 October 2017
- ChiSquared( <Degrees of Freedom>, x )
- Creates probability density function (pdf) 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.
