Difference between revisions of "ChiSquared Command"
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Revision as of 07:47, 21 July 2015
- ChiSquared[ <Degrees of Freedom>, x ]
- Creates probability density function (pdf) of Chi squared distribution with the appropriate degrees of freedom.
- 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).
- 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.
CAS Syntax
- ChiSquared[ <Degrees of Freedom>, <Variable Value> ]
- Calculates the value of cumulative distribution function (cdf) 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.
- Example:
ChiSquared[4, 3]
yields \gamma(2, \frac{3}{2}), which is approximately 0.44.