FISHER

Updated 2024-03-07 21:53:32.167000

Syntax

SELECT [westclintech].[wct].[FISHER] (
   <@X, float,>)

Description

Use the scalar function FISHER to calculate the Fisher transformation at x. The equation for the Fisher transformation is:

z = {1 \over 2}\ln\left({1+x \over 1-x}\right) = \operatorname{atanh}(x)

Arguments

@X

is the value for which you want the transformation. @X is an expression of type float or of a type that can be implicitly converted to float.

Return Type

float

Remarks

If @X is less than or equal to -1 or greater than or equal to 1, FISHER returns an error.

FISHER(@X) = ATANH(@X)

Examples

Select wct.FISHER(.75);

This produces the following result.

{"columns":[{"field":"column 1","headerClass":"ag-right-aligned-header","cellClass":"ag-right-aligned-cell"}],"rows":[{"column 1":"0.972955074527657"}]}

select wct.ATANH(.75);

This produces the following result.

{"columns":[{"field":"column 1","headerClass":"ag-right-aligned-header","cellClass":"ag-right-aligned-cell"}],"rows":[{"column 1":"0.972955074527657"}]}