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Dataplot Vol 2 Vol 1

DIFFERENCE OF KURTOSIS

Name:
    DIFFERENCE OF KURTOSIS (LET)
Type:
    Let Subcommand
Purpose:
    Compute the difference between the kurtosiss for two response variables.
Description:
    The kurtosis is the standardized fourth central moment. The formula is:

      \( \mbox{kurtosis} = \frac{\sum_{i=1}^{n}{(x - \bar{x})^4}/ (n-1)}{s^4} \)

    with \( \bar{x} \), s, and n denoting the mean, standard deviation, and the number of observations, respectively.

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

Syntax:
    LET <par> = DIFFERENCE OF KURTOSIS <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 kurtosiss is stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = DIFFERENCE OF KURTOSIS Y1 Y2
    LET A = DIFFERENCE OF KURTOSIS Y1 Y2 SUBSET X > 1
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:
    2003/03
Program:
    SKIP 25 
    READ IRIS.DAT Y1 TO Y4 X 
    . 
    LET A = DIFFERENCE OF KURTOSIS Y1 Y2 
    TABULATE DIFFERENCE OF KURTOSIS Y1 Y2 X 
    . 
    XTIC OFFSET 0.2 0.2 
    X1LABEL GROUP ID 
    Y1LABEL DIFFERENCE OF KURTOSIS 
    CHAR X 
    LINE BLANK 
    DIFFERENCE OF KURTOSIS PLOT Y1 Y2 X 
    CHAR X ALL 
    LINE BLANK ALL 
    BOOTSTRAP DIFFERENCE OF KURTOSIS PLOT Y1 Y2 X  
        
    Dataplot generated the following output.
           ********************************************
           **  LET A = DIFFERENCE OF KURTOSIS Y1 Y2  **
           ********************************************
      
      
     THE COMPUTED VALUE OF THE CONSTANT A             = -0.74951410E+00
      
      
           ***********************************************
           **  TABULATE DIFFERENCE OF KURTOSIS Y1 Y2 X  **
           ***********************************************
      
      
                     *    Y1       AND Y2
         X           *    DIFFERENCE OF KURTOSIS
     **********************************************
         1.00000     *    -1.06819
         2.00000     *   -0.147545
         3.00000     *   -0.595553
      
           GROUP-ID AND STATISTIC WRITTEN TO FILE DPST1F.DAT
        
    plot generated by sample program

    plot generated by sample program

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Date created: 03/27/2003
Last updated: 11/09/2015

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