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Dataplot Vol 2 Vol 1

WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN

Name:
    WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN (LET)
Type:
    Let Subcommand
Purpose:
    Compute the weighted sum of squared deviations from the mean of a variable.
Description:
    The weighted sum of squared deviations from the mean is defined as

      WDEV = SUM[i=1 to N][W(i)*(X(i) - XBAR)**2]

    where X is the response variable, W is the weights variable, and XBAR is the sample mean. The response variable and weights variable must have the same number of observations.

    For this command, the weights are not normalized. However, at least one of the weights must be positive and none of the weights can be negative. Otherwise, an error message is reported.

Syntax:
    LET <par> = WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN
                            <x> <w>             <SUBSET/EXCEPT/FOR qualification>
    where <x> is the response variable;
                <w> is the weights variable;
                <par> is a parameter where the weighted sum of squared deviations from the mean is saved;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = WEIGHTED SUM OF SQUARED EVIATIONS FROM MEAN ...
                Y1 WEIGHT
    LET A = WEIGHTED SUM OF SQUARED DEVIATIONS FROM MEAN ...
                Y1 WEIGHT SUBSET Y1 > 0
Note:
    Dataplot statistics can be used in a number of commands. For details, enter

Default:
    None
Synonyms:
    None
Related Commands: Applications:
    Data Analysis
Implementation Date:
    2012/06
Program:
     
    LET Y = DATA 2 3 5 7 11 13 17 19 23
    LET W = DATA 1 1 0 0 4 1 2 1 0
    .
    LET A = WEIGHTED SUM OF DEVIATIONS FROM THE MEAN Y W
        
    The returned result is 284.0123.

Date created: 06/29/2012
Last updated: 06/29/2012
Please email comments on this WWW page to alan.heckert@nist.gov.