Difference between revisions of "FDistribution Command"
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;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ] | ;FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ] |
Revision as of 15:11, 3 August 2015
- FDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x ]
- Creates probability density function (pdf) 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).
CAS Syntax
- 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).