Computes the statistical variance of a population consisting of a numeric-expression, as a DOUBLE.
VAR_POP( numeric-expression )
VAR_POP( numeric-expression ) OVER ( window-spec )
window-spec : see Syntax 2 instructions in the Remarks section below
numeric-expression The expression whose population-based variance is calculated over a set of rows. The expression is commonly a column name.
DOUBLE
This function converts its argument to DOUBLE, performs the computation in double-precision floating-point arithmetic, and returns a DOUBLE as the result.
The population-based variance (s2) of numeric-expression (x) is computed according to the following formula:
s2 = (1/N) * SUM( xI - mean( x ) )2
This variance does not include rows where numeric-expression is NULL. It returns NULL for a group containing no rows.
Syntax 2 represents usage as a window function in a SELECT statement. As such, elements of window-spec can be specified either in the function syntax (inline), or in conjunction with a WINDOW clause in the SELECT statement. See the window-spec definition provided in WINDOW clause.
For more information about using window functions in SELECT statements, including working examples, see Window functions.
For more information about specifying a window specification in an OVER clause, see Window definition: inlining using the OVER clause and WINDOW clause.
SQL/2008 The VAR_POP function comprises part of optional SQL /2008 language feature T621, "Enhanced numeric functions". When used as window function, VAR_POP comprises part of optional SQL foundation feature T611, "Elementary OLAP operations".
The ability to specify DISTINCT over an expression that is not a column reference comprises part of optional SQL language feature F561, "Full value expressions". SQL Anywhere also supports SQL/2008 language feature F441, "Extended set function support", which permits operands of aggregate functions to be arbitrary expressions possibly including outer references to expressions in other query blocks that are not column references.
SQL Anywhere does not support optional SQL/2008 feature F442, "Mixed column references in set functions". SQL Anywhere does not permit the arguments of an aggregate function to include both a column reference from the query block containing the VAR_POP function, combined with an outer reference. For an example, see the AVG function [Aggregate]
The following statement lists the average and variance in the number of items per order in different time periods:
SELECT YEAR( ShipDate ) AS Year, QUARTER( ShipDate ) AS Quarter, AVG( Quantity ) AS Average, VAR_POP( quantity ) AS Variance FROM SalesOrderItems GROUP BY Year, Quarter ORDER BY Year, Quarter; |
Year | Quarter | Average | Variance |
---|---|---|---|
2000 | 1 | 25.775148 | 203.9021... |
2000 | 2 | 27.050847 | 225.8109... |
... | ... | ... | ... |
Discuss this page in DocCommentXchange.
|
Copyright © 2010, iAnywhere Solutions, Inc. - SQL Anywhere 12.0.0 |