Difference between revisions of "ChiSquared Command"
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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).}} | :{{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== | ==CAS Syntax== | ||
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;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> 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 09:53, 11 January 2013
- 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
- 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.
