VARIANCE

The numerical values to compute the variance of. This can be a constant value, a column, a cell range, or an expression evaluating to any of the above. For the format definition of data, see the "Macro Function Parameters" section in the chapter in this guide for your IBM® Unica® product.

keyword

This optional keyword determines how the computation is performed over the input data range. Select one of the following:

ALL - Performs the computation on all cells in data (default)

COL - Performs the computation separately for each column of data

ROW - Performs the computation separately for each row of data

For more details on using keywords in IBM® Unica® Campaign, see Format Specifications.

For more details on using keywords in IBM® Unica® PredictiveInsight, see Format Specifications.

Many macro functions take the keyword parameters {ALL | COL | ROW}. These keywords do not apply in IBM® Unica® Campaign because the input data is always a single column or field. The macro will always behave as if the COL keyword were specified. Therefore, you do not need to specify these keywords when using IBM® Unica® Campaign .

Description

VARIANCE calculates the variance of all the values in the specified data range. Variance is the standard deviation squared. The variance is calculated as follows:

where the x's are the samples, n is the number of samples, and mean is the average of the distribution.

If the number of samples n = 1, VARIANCE returns an error.

Examples

TEMP = VARIANCE(MERGE(3, 4, 5)) or TEMP = VARIANCE(MERGE(3, 4, 5), ALL)

Creates a new column named TEMP containing the value 0.67.

TEMP = VARIANCE(MERGE(-10, 5, 10))

Creates a new column named TEMP containing the value 72.2.

TEMP = VARIANCE(V1)

Creates a new column named TEMP containing a single value which is the variance of the contents of column V1.

TEMP = VARIANCE(V1:V3)

Creates a new column named TEMP containing a single value which is the variance of the contents of columns V1, V2, and V3.

TEMP = VARIANCE(V1[10:20])

Creates a new column named TEMP containing a single value which is the variance of the cells in rows 10-20 of column V1.

TEMP = VARIANCE(V1[1:5]:V4)

Creates a new column named TEMP containing a single value which is the variance of the cells in rows 1-5 of columns V1 through V4.

TEMP = VARIANCE(V1:V3, COL)

Creates three new columns named TEMP, VX, and VY. The single value in the TEMP column is the variance of the contents of column V1, the single value in the VX column is the variance of the contents of column V2, and the single value in the VY column is the variance of the contents of column V3.

TEMP = VARIANCE(MERGE(1,4), COL)

Creates two new columns named TEMP and VX, each containing the value zero.

TEMP = VARIANCE_(V1[1:5]:V3, COL) or TEMP = VARIANCE(V1[1:5]:V3[1:5], COL)

Creates three new columns named TEMP, VX, and VY, each containing a single value. The value in column TEMP is the variance of the cells in rows 1-5 of column V1, the value in column VX is the variance of the cells in rows 1-5 of column V2, and the value in column VY is the variance of the cells in rows 1-5 of column V3.

TEMP = VARIANCE(V1:V3, ROW)

Creates a new column named TEMP where each cell entry is the variance of the corresponding row across columns V1, V2, and V3.

TEMP = VARIANCE(V1[1:5]:V3,ROW) or TEMP = VARIANCE(V1[1:5]:V3[1:5], ROW)

Creates a new column named TEMP, where the cells in rows 1-5 contain the variance of the corresponding row across columns V1 through V3. The other cells in TEMP are empty.

Related Functions

Function	Description
KURTOSIS	Computes the kurtosis of a range of cells
SKEW	Computes the skew of the distribution of a range of cells