Difference between revisions of "TDistribution Command"
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| − | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} |
| − | {{command|cas=true|probability}} | + | ;TDistribution( <Degrees of Freedom>, x ) |
| − | ;TDistribution | + | :Creates cumulative density function (cdf) of [[w:Student's t-distribution|t-distribution]] with given degrees of freedom. |
| − | :Creates | + | ;TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> ) |
| − | ;TDistribution | ||
:If ''Cumulative'' is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution. | :If ''Cumulative'' is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution. | ||
| − | ; TDistribution | + | ; TDistribution( <Degrees of Freedom>, <Variable Value> ) |
| + | : Calculates the value of cumulative distribution function of t-distribution at ''variable value v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with t-distribution with given degrees of freedom. | ||
| + | :{{example|1=<code><nowiki>TDistribution(10, 0)</nowiki></code> yields ''0.5''.}} | ||
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the t-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 t-distribution curve to the left of the given ''x''-coordinate).}} | ||
==CAS Syntax== | ==CAS Syntax== | ||
| − | ;TDistribution | + | ;TDistribution( <Degrees of Freedom>, <Variable Value> ) |
| − | :Calculates the value of cumulative distribution function of | + | :Calculates the value of cumulative distribution function of t-distribution at ''variable value v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with t-distribution with given degrees of freedom. |
| − | :{{example|1= | + | :{{example|1=<code><nowiki>TDistribution(10, 0)</nowiki></code> yields ''0.5''.}} |
Latest revision as of 11:19, 30 July 2019
- TDistribution( <Degrees of Freedom>, x )
- Creates cumulative density function (cdf) of t-distribution with given degrees of freedom.
- TDistribution( <Degrees of Freedom>, x, <Boolean Cumulative> )
- If Cumulative is true, creates cumulative distribution function of t-distribution, otherwise creates pdf of t-distribution.
- TDistribution( <Degrees of Freedom>, <Variable Value> )
- Calculates the value of cumulative distribution function of t-distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with t-distribution with given degrees of freedom.
- Example:
TDistribution(10, 0)yields 0.5.
- Note: Returns the probability for a given x-coordinate's value (or area under the t-distribution curve to the left of the given x-coordinate).
CAS Syntax
- TDistribution( <Degrees of Freedom>, <Variable Value> )
- Calculates the value of cumulative distribution function of t-distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with t-distribution with given degrees of freedom.
- Example:
TDistribution(10, 0)yields 0.5.
