Difference between revisions of "ChiSquared Command"
From GeoGebra Manual
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;ChiSquared[ <Degrees of Freedom>, x, <Boolean Cumulative> ] | ;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. | :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. |
| − | ==CAS | + | :{{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 Syntax== | ||
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
| − | ;ChiSquared[<Degrees of Freedom d>, <Variable Value v>] | + | ;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. | :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. | ||
| − | :{{example|1=<div><code><nowiki>ChiSquared[4, 3]</nowiki></code> | + | :{{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 11:53, 7 September 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 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.
- Example:
ChiSquared[4, 3]yields \gamma(2, \frac{3}{2}), which is approximately 0.44.
