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Dataplot Vol 2 Auxiliary Chapter

DIFFERENCE OF EXTREME

Name:
    DIFFERENCE OF EXTREME (LET)
Type:
    Let Subcommand
Purpose:
    Compute the difference between the extremes for two response variables.
Description:
    The extreme is the maximum of the absolute value of the smallest and largest value of a response variable.

    For the difference of extremes, the extreme is computed for each of two samples then their difference is taken.

Syntax:
    LET <par> = DIFFERENCE OF EXTREME <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 extreme is stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = DIFFERENCE OF EXTREME Y1 Y2
    LET A = DIFFERENCE OF EXTREME Y1 Y2 SUBSET X > 1
Note:
    The difference of extremes statistic is also supported for the following commands:

      DIFFERENCE OF EXTREME PLOT Y1 Y2 X
      CROSS TABULATE DIFFERENCE OF EXTREME PLOT Y1 Y2 X
      BOOTSTRAP DIFFERENCE OF EXTREME PLOT Y1 Y2
      TABULATE DIFFERENCE OF EXTREME Y1 Y2 X
      CROSS TABULATE DIFFERENCE OF EXTREME Y1 Y2 X
      LET Z = CROSS TABULATE DIFFERENCE OF EXTREME 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:
    EXTREME = Compute the extreme.
    MEAN = Compute the mean.
    MINIMUM = Compute the minimum.
    MAXIMUM = Compute the maximum.
    QUANTILE = Compute a quantile.
    STANDARD DEVIATION = Compute the standard deviation.
    DIFFERENCE OF MINIMUM = Compute the difference of the minimums.
    DIFFERENCE OF MAXIMUM = Compute the difference of the maximums.
    DIFFERENCE OF SD = Compute the difference of standard deviations.
    DIFFERENCE OF QUANTILE = Compute the difference of a quantile.
    STATISTICS PLOT = Generate a statistic versus subset plot.
    CROSS TABULATE PLOT = Generate a statistic versus two subsets plot.
    BOOTSTRAP PLOT = Generate a bootstrap plot.
    TABULATE = Perform a tabulation for a specified statistic.
    CROSS TABULATE = Perform a cross tabulation for a specified statistic.
Applications:
    Data Analysis
Implementation Date:
    3/2003
Program:
    SKIP 25 
    READ IRIS.DAT Y1 TO Y4 X 
    . 
    LET A = DIFFERENCE OF EXTREME Y1 Y2 
    TABULATE DIFFERENCE OF EXTREME Y1 Y2 X 
    . 
    XTIC OFFSET 0.2 0.2 
    X1LABEL GROUP ID 
    Y1LABEL DIFFERENCE OF EXTREME 
    CHAR X 
    LINE BLANK 
    DIFFERENCE OF EXTREME PLOT Y1 Y2 X 
    CHAR X ALL 
    LINE BLANK ALL 
    BOOTSTRAP DIFFERENCE OF EXTREME PLOT Y1 Y2 X  
        
    Dataplot generated the following output.
           *******************************************
           **  LET A = DIFFERENCE OF EXTREME Y1 Y2  **
           *******************************************
      
      
     THE COMPUTED VALUE OF THE CONSTANT A             =  0.35000000E+01
      
      
           **********************************************
           **  TABULATE DIFFERENCE OF EXTREME Y1 Y2 X  **
           **********************************************
      
      
                     *    Y1       AND Y2
         X           *    DIFFERENCE OF EXTREMES
     **********************************************
         1.00000     *     1.40000
         2.00000     *     3.60000
         3.00000     *     4.10000
      
           GROUP-ID AND STATISTIC WRITTEN TO FILE DPST1F.DAT
        
    plot generated by sample program

    plot generated by sample program

Date created: 3/27/2003
Last updated: 4/4/2003
Please email comments on this WWW page to alan.heckert@nist.gov.