DIFFERENCE OF HARMONIC MEAN

DIFFERENCE OF HARMONIC MEAN (LET)

Let Subcommand

Compute the difference between the harmonic means for two response variables.

The harmonic mean is defined as:

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

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

LET A = DIFFERENCE OF HARMONIC MEAN Y1 Y2
LET A = DIFFERENCE OF HARMONIC MEAN Y1 Y2 SUBSET X > 1

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

None

None

HARMONIC MEAN	= Compute the harmonic mean.
DIFFERENCE OF GEOMETRIC MEAN	= Compute the difference of geometric means.
DIFFERENCE OF MEAN	= Compute the difference of means.
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.

Data Analysis

3/2003

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

Dataplot generates the following output.

       *************************************************
       **  LET A = DIFFERENCE OF HARMOMIC MEAN Y1 Y2  **
       *************************************************
  
  
 THE COMPUTED VALUE OF THE CONSTANT A             =  0.27330902E+01
  
  
       ****************************************************
       **  TABULATE DIFFERENCE OF HARMOMIC MEAN Y1 Y2 X  **
       ****************************************************
  
  
                 *    Y1       AND Y2
     X           *    DIFFERENCE OF HARMONIC MEANS
 **********************************************
     1.00000     *     1.59614
     2.00000     *     3.15893
     3.00000     *     3.58727
  
       GROUP-ID AND STATISTIC WRITTEN TO FILE DPST1F.DAT