Difference between revisions of "ChiSquared Command"

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;ChiSquared[ <Degrees of Freedom d>, x ]

Revision as of 21:12, 9 March 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.
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