COVAR_POP function [Aggregate]

Function

Returns the population covariance of a set of number pairs.

Syntax 1

COVAR_POP (dependent-expression, independent-expression)

Syntax 2

COVAR_POP (dependent-expression, independent-expression)
OVER (window-spec)

window-spec: See Syntax 2 instructions in the Usage section, below.

Parameters

dependent-expression The variable that is affected by the independent variable.

independent-expression The variable that influences the outcome.

Example

The following example measures the strength of association between employee age and salary. This function returns the value 73785.840059:

SELECT COVAR_POP( Salary, ( YEAR( NOW( ) ) - YEAR( BirthDate ) ) ) FROM Employees;

Usage

This function converts its arguments to DOUBLE, performs the computation in double-precision floating-point, and returns a DOUBLE as the result. If applied to an empty set, then COVAR_POP returns NULL.

dependent-expression and independent-expression are both numeric. The function is applied to the set of (dependent-expression, independent-expression) after eliminating the pairs for which either dependent-expression or independent-expression is NULL. The following computation is made:

(SUM(x*y) - SUM(x) * SUM(y) / n) / n

where x represents the dependent-expression and y represents the independent-expression.

See "Mathematical formulas for the aggregate functions "in SQL Anywhere Server – SQL Usage.

NoteROLLUP and CUBE are not supported in the GROUP BY clause with Syntax 1. DISTINCT is not supported.

Syntax 2 represents usage as a window function in a SELECT statement. As such, you can specify elements of window-spec either in the function syntax (inline), or with a WINDOW clause in the SELECT statement. For information on how to specify the window, see “Analytical functions”.

Standards and compatibility