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stats[describe]

  

sumdata

  

Sum powers of Statistical List

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

stats[describe, sumdata[which, origin]](data)

describe[sumdata[which, origin, Nconstraint]](data)

Parameters

data

-

statistical list

which

-

(optional, default=1) value that specifies the required power

origin

-

(optional, default=0) the quantity about which the moment is computed.

Description

• 

Important: The stats package has been deprecated. Use the superseding package Statistics instead.

• 

The function sumdata of the subpackage stats[describe, ...] computes sums of  the various powers  of the given data about any origin.

• 

The sum of r-th power about an origin R is computed as follows: S_R:= sum( (X-R)^r ).

• 

The function sumdata is closely related to the function moment.

• 

The value of origin can be either a number, or the various descriptive statistic functions that can be specified via stats[describe, descriptive statistic function].

• 

Classes are assumed to be represented by the class mark, for example 10..12 has the value 11. Missing data are ignored.

• 

The command with(stats[describe],sumdata) allows the use of the abbreviated form of this command.

Examples

Important: The stats package has been deprecated. Use the superseding package Statistics instead.

withstats:

data1,3,5

data:=1,3,5

(1)

Sum of third power about 0:

describe[sumdata[3]]data=13+33+53

153=153

(2)

Sum of fourth power about 1:

describe[sumdata[4,1]]data=114+314+514

272=272

(3)

Sum of fifth power about the mean

describe[moment[5,mean]]data=135+335+535

0=0

(4)

See Also

describe(deprecated)[kurtosis]

describe(deprecated)[mean]

describe(deprecated)[standarddeviation]

describe(deprecated)[variance]

Statistics

transform(deprecated)[classmark]

 


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