Difference between revisions of "FDistribution Command"
From GeoGebra Manual
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:Creates probability density function (pdf) of [[w:F-distribution|F-distribution]] with parameters ''n, d''. | :Creates probability density function (pdf) of [[w:F-distribution|F-distribution]] with parameters ''n, d''. | ||
;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>,<Boolean Cumulative>, <Variable Value> ] | ;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>,<Boolean Cumulative>, <Variable Value> ] | ||
| − | :If ''Cumulative'' is true, creates cumulative density function of F-distribution, otherwise creates pdf of | + | :If ''Cumulative'' is true, creates cumulative density 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| Returns the probability for a given ''x''-coordinate's value (or area under the | + | :{{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 Syntaxes== | ==CAS Syntaxes== | ||
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 19:12, 20 July 2011
- FDistribution[ <Numerator Degrees of Freedom n>, <Denominator Degrees of Freedom d>]
- Creates probability density function (pdf) of F-distribution with parameters n, d.
- FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>,<Boolean Cumulative>, <Variable Value> ]
- If Cumulative is true, creates cumulative density 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 Syntaxes
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.
