KSQ

Updated 2024-03-08 16:57:12.080000

Syntax

SELECT [westclintech].[wct].[KSQ] (
   <@z, float,>)

Description

Use the scalar function KSQ to calculate the complementary Kolmogorov-Smirnov (KS) cumulative distribution function, Qks = 1 - Pks. The equation for the cumulative distribution function is:

\operatorname{P}_{ks}(z)=1-2\sum_{j=1}^\infty (-1)^{j-1} e^{-2j^2 z^2}

Arguments

@z

is the value at which to evaluate the function. @z is an expression of type float or of a type that can be implicitly converted to float.

Return Type

float

Remarks

@z must greater than or equal to 0.

Qks(0) = 1.

Qks(∞) = 0.

Examples

SELECT wct.KSQ(1) as KSQ;

This produces the following result.

{"columns":[{"field":"KSQ","headerClass":"ag-right-aligned-header","cellClass":"ag-right-aligned-cell"}],"rows":[{"KSQ":"0.269999671677355"}]}