Kurtosis - chart function

Kurtosis() finds the kurtosis of the range of data aggregated in the expression or field iterated over the chart dimensions.

Syntax:  

Kurtosis([{SetExpression}] [DISTINCT] [TOTAL [<fld{, fld}>]] expr)

Return data type: numeric

Arguments:  

Argument Description
expr The expression or field containing the data to be measured.
SetExpression By default, the aggregation function will aggregate over the set of possible records defined by the selection. An alternative set of records can be defined by a set analysis expression.
DISTINCT If the word DISTINCT occurs before the function arguments, duplicates resulting from the evaluation of the function arguments are disregarded.
TOTAL

If the word TOTAL occurs before the function arguments, the calculation is made over all possible values given the current selections, and not just those that pertain to the current dimensional value, that is, it disregards the chart dimensions.

The TOTAL qualifier may be followed by a list of one or more field names within angle brackets <fld>. These field names should be a subset of the chart dimension variables.

See: Defining the aggregation scope

Limitations:  

The expression must not contain aggregation functions, unless these inner aggregations contain the TOTAL qualifier. For more advanced nested aggregations, use the advanced aggregation function Aggr, in combination with calculated dimensions.

Examples and results:  

Type Value                                      
Comparison 2 27 38 31 1 19 1 34 3 1 2 3 2 1 2 1 3 29 37 2
Observation 35 40 12 15 21 14 46 10 28 48 16 30 32 48 31 22 12 39 19 25
Example Result
Kurtosis(Value)

For a table including the dimension Type and the measure Kurtosis(Value), if Totals are shown for the table, and number formatting is set to 3 significant figures, the result is 1.252. For Comparison it is 1.161 and for Observation it is 1.115.

Kurtosis(TOTAL Value)) 1.252 for all values of Type, because the TOTAL qualifier means that dimensions are disregarded.

Data used in examples:

Table1:

crosstable LOAD recno() as ID, * inline [

Observation|Comparison

35|2

40|27

12|38

15|31

21|1

14|19

46|1

10|34

28|3

48|1

16|2

30|3

32|2

48|1

31|2

22|1

12|3

39|29

19|37

25|2 ] (delimiter is '|');

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