Difference between revisions of "FDistribution Command"
From GeoGebra Manual
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;FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>, x, <Boolean Cumulative> ] | ;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. | :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''. | + | ;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| 1=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== | ==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 13:45, 9 September 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.
