Login     Register

        Contact Us     Search

XLeratorDB/windowing Documentation

SQL Server running STDEV function


RunningSTDEV

Updated: 31 Oct 2012


Use RunningSTDEV to calculate the sample standard deviation of column values in an ordered resultant table, without the need for a self-join. The standard deviation is calculated over all the values from the first value to the last value in the ordered group or partition. If the column values are presented to the functions out of order, an error message will be generated.
Syntax
SELECT [Example].[wct].[RunningSTDEV](
  <@Val, float,>
 ,<@RowNum, int,>
 ,<@Id, tinyint,>)
GO
Arguments
@Val
the value passed into the function. @Val is an expression of type float or of a type that can be implicitly converted to float.
@RowNum
the number of the row within the group for which the sum is being calculated. If @RowNum for the current row in a set is less than or equal to the previous @RowNum and @RowNum is not equal to 1, an error message will be generated. @RowNum is an expression of type int or of a type that can be implicitly converted to int.
@Id
a unique identifier for the RunningSTDEV calculation. @Id allows you to specify multiple RunningSTDEV calculations within a resultant table. @Id is an expression of type tinyint or of a type that can be implicitly converted to tinyint.
Remarks
·         If @Id is NULL then @Id = 0.
·         To calculate moving standard deviations, use the MovingSTDEV function.
·         If @RowNum is equal to 1, RunningSTDEV is equal to NULL
·         @RowNum must be in ascending order.
·         There may be cases where the order in which the data are returned to the function and the order in which the results are returned are different, generally due to parallelism. You can use OPTION(MAXDOP 1) or OPTION(MAXDOP 1,FORCE ORDER) to help eliminate this problem.
Example
In this example, we have 20 rows of sample data from a population with a mean of 100 and a standard deviation of 15.
SELECT rn
,x
,wct.RunningSTDEV(x,rn,NULL) as [STDEV]
FROM (
      SELECT 1,85.2968 UNION ALL
      SELECT 2,88.2566 UNION ALL
      SELECT 3,100.1934 UNION ALL
      SELECT 4,116.3052 UNION ALL
      SELECT 5,109.6867 UNION ALL
      SELECT 6,130.3847 UNION ALL
      SELECT 7,76.5458 UNION ALL
      SELECT 8,99.5511 UNION ALL
      SELECT 9,101.5546 UNION ALL
      SELECT 10,114.318 UNION ALL
      SELECT 11,100.2686 UNION ALL
      SELECT 12,110.5982 UNION ALL
      SELECT 13,91.4181 UNION ALL
      SELECT 14,118.5804 UNION ALL
      SELECT 15,126.6649 UNION ALL
      SELECT 16,103.8977 UNION ALL
      SELECT 17,82.2819 UNION ALL
      SELECT 18,123.3369 UNION ALL
      SELECT 19,98.9415 UNION ALL
      SELECT 20,89.1731
      ) s(rn,x)
This produces the following result.
         rn                                       x                  STDEV
----------- --------------------------------------- ----------------------
          1                                 85.2968                   NULL
          2                                 88.2566       2.09289465095594
          3                                100.1934       7.88623591920336
          4                                116.3052        14.086019172688
          5                                109.6867       13.3585832496564
          6                                130.3847        17.238411164915
          7                                 76.5458       19.0647847280317
          8                                 99.5511       17.6575161160451
          9                                101.5546       16.5191247575937
         10                                114.3180       16.1450505878186
         11                                100.2686       15.3277128598674
         12                                110.5982       14.8220936235839
         13                                 91.4181       14.5347368987681
         14                                118.5804       14.6608663518127
         15                                126.6649       15.3853044419388
         16                                103.8977       14.8647794369106
         17                                 82.2819        15.376554425524
         18                                123.3369        15.648435468131
         19                                 98.9415       15.2589544074601
         20                                 89.1731       15.2228784743608


Copyright 2008-2013 WestClinTech LLC         Privacy Policy        Terms of Service