Calculates the statistical variance of the specified data set. The calculation is based upon a sample of a population. Variance is a measure of the dispersion of a set of data points around their mean (average) value.
Syntax
@VARIANCE (SKIPNONE | SKIPMISSING | SKIPZERO | SKIPBOTH, XrangeList)
Parameter | Description |
---|---|
SKIPNONE |
Includes all cells specified in the data set, regardless of their content, during calculation of the variance. |
SKIPMISSING |
Excludes all #MISSING values from the data set during calculation of the variance. |
SKIPZERO |
Excludes all zero (0) values from the data set during calculation of the variance. |
SKIPBOTH |
Excludes all zero (0) values and #MISSING values from the data set during calculation of the variance. |
XrangeList |
A list of numeric values across which the variance is calculated. Referred to generically throughout this topic as “the data set.” Can be a valid member name, a comma-delimited list of member names, cross dimensional members, or a return value from a member set function or range function (including @XRANGE). For more information about XrangeList, see Range List Parameters in the topic Range and Financial Functions. |
Notes
@VARIANCE is different from @VAR, which calculates the variance (difference) between two members.
@VARIANCE assumes that the data set (XrangeList) represents a sample of the population. If you want the data set to represent the entire population, use @VARIANCEP.
@VARIANCE is calculated with the "unbiased" or "n-1" method.
@VARIANCE uses the following formula:
Example
The following example is based on the Sample Basic database. Assume that the Measures dimension contains an additional member, Sales Var. This example uses the @RANGE function to generate the data set, and calculates the variance of the sales values for a product family.
FIX (Product) "Sales Var" = @VARIANCE(SKIPBOTH,@RANGE(Sales,@CHILDREN(Product))); ENDFIX
This example produces the following report:
Jan New York Actual Budget ====== ====== Sales Colas 678 640 Root Beer 551 530 Cream Soda 663 510 Fruit Soda 587 620 Diet Drinks #MI #MI Product 2479 2300 Sales Var Product 3687.58 4166.67
The following example assumes a Year dimension is added to Sample Basic. It calculates variance using cross-dimensional members in the data set.
FIX(Product) "Sales Var" = @VARIANCE(SKIPBOTH,@XRANGE("2011"->"Sep", "2012"->"Mar")); ENDFIX
The above calculation is performed across the following multidimensional range specified by XrangeList:
2011->Sep 2011->Oct 2011->Nov 2011->Dec 2012->Jan 2012->Feb 2012->Mar
See Also