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Dataplot Vol 2 Auxiliary Chapter

DIFFERENCE OF MEAN

Name:
    DIFFERENCE OF MEAN (LET)
Type:
    Let Subcommand
Purpose:
    Compute the difference between the means for two response variables.
Description
    The mean is computed as

      SUM[i=1 to n][X(i)]/n

    For the differeence of means, the mean is computed for each of two samples then their difference is taken.

Syntax:
    LET <par> = DIFFERENCE OF MEAN <y1> <y2>             <SUBSET/EXCEPT/FOR qualification>
    where <y1> is the first response variable;
                <y2> is the first response variable;
                <par> is a parameter where the computed difference of the means is stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = DIFFERENCE OF MEAN Y1 Y2
    LET A = DIFFERENCE OF MEAN Y1 Y2 SUBSET X > 1
Note:
    The difference of means statistic is also supported for the following commands:

      DIFFERENCE OF MEANS PLOT Y1 Y2 X
      CROSS TABULATE DIFFERENCE OF MEANS PLOT Y1 Y2 X
      BOOTSTRAP DIFFERENCE OF MEANS PLOT Y1 Y2
      TABULATE DIFFERENCE OF MEANS Y1 Y2 X
      CROSS TABULATE DIFFERENCE OF MEANS Y1 Y2 X
      LET Z = CROSS TABULATE DIFFERENCE OF MEANS Y1 Y2 X1 X2

    Enter

      HELP STATISTIC PLOT HELP CROSS TABULATE PLOT HELP BOOTSTRAP PLOT HELP TABULATE HELP CROSS TABULATE HELP CROSS TABULATE (LET)

    for more information on these plots and commands.

Default:
    None
Synonyms:
    None
Related Commands:
    MEAN = Compute the mean.
    DIFFERENCE OF MEDIAN = Compute the difference of medians.
    DIFFERENCE OF TRIMMED MEAN = Compute the difference of trimmed means.
    DIFFERENCE OF MIDMEAN = Compute the difference of midmeans.
    DIFFERENCE OF BIWEIGHT LOCATION = Compute the difference of biweight locations.
    STATISTICS PLOT = Generate a statistic versus subset plot.
    CROSS TABULATE PLOT = Generate a statistic versus two subsets plot.
    BOOTSTRAP PLOT = Generate a bootstrap plot.
Applications:
    Data Analysis
Implementation Date:
    3/2003
Program:
    SKIP 25 
    READ IRIS.DAT Y1 TO Y4 X 
    . 
    LET A = DIFFERENCE OF MEAN Y1 Y2 
    TABULATE DIFFERENCE OF MEAN Y1 Y2 X 
    . 
    XTIC OFFSET 0.2 0.2
    X1LABEL GROUP ID
    Y1LABEL DIFFERENCE OF MEANS
    CHAR X 
    LINE BLANK 
    DIFFERENCE OF MEAN PLOT Y1 Y2 X 
    CHAR X ALL 
    LINE BLANK ALL 
    BOOTSTRAP DIFFERENCE OF MEAN PLOT Y1 Y2 X  
        
    Dataplot generated the following output.
           ****************************************
           **  LET A = DIFFERENCE OF MEAN Y1 Y2  **
           ****************************************
      
      
     THE COMPUTED VALUE OF THE CONSTANT A             =  0.27860000E+01
      
      
           *******************************************
           **  TABULATE DIFFERENCE OF MEAN Y1 Y2 X  **
           *******************************************
      
      
                     *    Y1       AND Y2
         X           *    DIFFERENCE OF MEANS
     **********************************************
         1.00000     *     1.57800
         2.00000     *     3.16600
         3.00000     *     3.61400
      
           GROUP-ID AND STATISTIC WRITTEN TO FILE DPST1F.DAT
        
    plot generated by sample program

    plot generated by sample program

Date created: 3/21/2003
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.