Difference between revisions of "FDistribution Command"
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− | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} | |
− | <noinclude>{{Manual Page|version= | + | ;FDistribution( <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ) |
− | {{command|probability}} | + | :Creates cumulative density function (cdf) of [[w:F-distribution|F-distribution]] with parameters ''n, d'' (''n'' for ''Numerator Degrees of Freedom'', ''d'' for ''Denominator Degrees of Freedom''). |
− | ;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, <Variable Value> | + | ;FDistribution( <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, 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>, <Denominator Degrees of Freedom>, <Variable Value> ) | ||
+ | :Calculates the value of cumulative distribution function of F-distribution at ''Variable Value v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with F-distribution given by parameters ''n, d'' (''n'' for ''Numerator Degrees of Freedom'', ''d'' for ''Denominator Degrees of Freedom''). | ||
+ | :{{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).}} | ||
+ | :{{note|This command is also available in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]].}} |
Latest revision as of 11:17, 30 July 2019
- FDistribution( <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x )
- Creates cumulative density function (cdf) of F-distribution with parameters n, d (n for Numerator Degrees of Freedom, d for Denominator Degrees of Freedom).
- FDistribution( <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, 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>, <Denominator Degrees of Freedom>, <Variable Value> )
- Calculates the value of cumulative distribution function of F-distribution at Variable Value v, i.e. the probability P(X≤v) where X is a random variable with F-distribution given by parameters n, d (n for Numerator Degrees of Freedom, d for Denominator Degrees of Freedom).
- 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: This command is also available in the CAS View.