DIFFERENCE OF MEDIAN

DIFFERENCE OF MEDIAN (LET)

Let Subcommand

Compute the difference between the medians for two response variables.

The median is the value of the observation for which half the observations are larger and half are smaller. If there are an even number of data points, the mean is taken of the two middle points.

For the difference of medians, the median is computed for two samples and then their difference is taken.

LET <par> = DIFFERENCE OF MEDIAN <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 meidans is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = DIFFERENCE OF MEDIAN Y1 Y2
LET A = DIFFERENCE OF MEDIAN Y1 Y2 SUBSET X > 1

The difference of medians statistic is also supported for the following commands:
DIFFERENCE OF MEDIANS PLOT Y1 Y2 X
CROSS TABULATE DIFFERENCE OF MEDIANS PLOT Y1 Y2 X
BOOTSTRAP DIFFERENCE OF MEDIANS PLOT Y1 Y2
TABULATE DIFFERENCE OF MEDIANS Y1 Y2 X
CROSS TABULATE DIFFERENCE OF MEDIANS Y1 Y2 X
LET Z = CROSS TABULATE DIFFERENCE OF MEDIANS 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.

None

None

MEDIAN	= Compute the median.
DIFFERENCE OF MEAN	= Compute the difference of means.
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.

Data Analysis

3/2003

SKIP 25 
READ IRIS.DAT Y1 TO Y4 X 
. 
LET A = DIFFERENCE OF MEDIAN Y1 Y2 
TABULATE DIFFERENCE OF MEDIAN Y1 Y2 X 
. 
XTIC OFFSET 0.2 0.2
X1LABEL GROUP ID
Y1LABEL DIFFERENCE OF MEDIANS
CHAR X 
LINE BLANK 
DIFFERENCE OF MEDIAN PLOT Y1 Y2 X 
CHAR X ALL 
LINE BLANK ALL 
BOOTSTRAP DIFFERENCE OF MEDIAN PLOT Y1 Y2 X  
    

Dataplot generated the following output.

       ******************************************
       **  LET A = DIFFERENCE OF MEDIAN Y1 Y2  **
       ******************************************
  
  
 THE COMPUTED VALUE OF THE CONSTANT A             =  0.28000002E+01
  
  
       *********************************************
       **  TABULATE DIFFERENCE OF MEDIAN Y1 Y2 X  **
       *********************************************
  
  
                 *    Y1       AND Y2
     X           *    DIFFERENCE OF MEDIAN
 **********************************************
     1.00000     *     1.60000
     2.00000     *     3.10000
     3.00000     *     3.50000
  
       GROUP-ID AND STATISTIC WRITTEN TO FILE DPST1F.DAT