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XLeratorDB/statistics Documentation

SQL Server CHISQ.DIST.RT function


CHISQ_DIST_RT

Updated: 31 July 2015

Use CHISQ_DIST_RT to calculate the upper distribution of a chi-squared distribution for x and a number of degrees of freedom.
Syntax
SELECT [wct].[CHISQ_DIST_RT](
  <@X, float,>
 ,<@Degrees_freedom, float,>)
Arguments
@X
The value of interest to be evaluated. @X must be of a type float or of type that intrinsically converts to float
@Degrees_freedom
The number of degrees freedom. @Degrees_freedom must be of a type float or of a type that intrinsically converts to float.
Return Type
float
Remarks
·         0 < @X
·         0 < @Degrees_freedom
Examples
In this example we calculate the right-tailed probability.
SELECT
       wct.CHISQ_DIST_RT(
               0.5          --@X
              ,1            --@Degrees_freedom
              ) as [Right Tail]

This produces the following result


The chi-squared distribution is a special case of the gamma distribution
SELECT
        wct.CHISQ_DIST_RT(x,df) as [Chi-squared]
       ,wct.GAMMAQ(0.5*df,0.5*x) as GammaQ
FROM (VALUES (42,57))n(x,df)

This produces the following result.

 

See Also

 



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