Difference between revisions of "FDistribution Command"
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; FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]: Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''. | ; FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]: Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''. | ||
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the F-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 F-distribution curve to the left of the given ''x''-coordinate).}} | ||
| − | ==CAS | + | ==CAS Syntax== |
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
;FDistribution[<Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v>] | ;FDistribution[<Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v>] | ||
:Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''. | :Calculates the value of cumulative distribution function of F-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d''. | ||
Revision as of 13:43, 18 August 2011
- FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x ]
- Creates probability density function (pdf) of F-distribution with parameters n, d.
- FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of F-distribution, otherwise creates pdf of F-distribution.
- FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of F-distribution at v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d.
- Note: Returns the probability for a given x-coordinate's value (or area under the F-distribution curve to the left of the given x-coordinate).
CAS Syntax
In CAS View only following syntax is supported:
- FDistribution[<Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, <Variable Value v>]
- Calculates the value of cumulative distribution function of F-distribution at v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d.
