CHEBYSHEV DISTANCE

CHEBYSHEV DISTANCE (LET)

Let Subcommand

Compute the Chebyshev distance between two variables.

The Chebyshev distance between two variabes X and Y is defined as
\[ d = \max_{i} {|X_{i} - Y_{i}|} \]

LET <par> = CHEBYSHEV DISTANCE <y1> <y2>       <SUBSET/EXCEPT/FOR qualification>
where <y1> is the first response variable;
            <y2> is the second response variable;
            <par> is a parameter where the computed Chebyshev distance is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

LET A = CHEBYSHEV DISTANCE Y1 Y2
LET A = CHEBYSHEV DISTANCE Y1 Y2 SUBSET Y1 > 0 SUBSET Y2 > 0

Dataplot statistics can be used in a number of commands. For details, enter
HELP STATISTICS

None

None

COSINE DISTANCE	=	Compute the cosine distance.
MANHATTAN DISTANCE	=	Compute the Euclidean distance.
EUCLIDEAN DISTANCE	=	Compute the Euclidean distance.
MATRIX DISTANCE	=	Compute various distance metrics for a matrix.
GENERATE MATRIX <stat>	=	Compute a matrix of pairwise statistic values.

Mathematics

2017/08

 
SKIP 25
READ IRIS.DAT Y1 TO Y4 X
.
LET DIST  = CHEBYSHEV DISTANCE Y1 Y2
SET WRITE DECIMALS 4
TABULATE CHEBYSHEV DISTANCE Y1 Y2 X
    
            Cross Tabulate CHEBYSHEV DISTANCE
 
(Response Variables: Y1       Y2      )
---------------------------------------------
       X          |   CHEBYSHEV DISTA
---------------------------------------------
         1.0000   |            2.2000
         2.0000   |            4.0000
         3.0000   |            5.1000
    
.
XTIC OFFSET 0.2 0.2
X1LABEL GROUP ID
LET NDIST = UNIQUE X
XLIMITS 1 NDIST
MAJOR X1TIC MARK NUMBER NDIST
MINOR X1TIC MARK NUMBER 0
CHAR X
LINE BLANK
LABEL CASE ASIS
CASE ASIS
TITLE CASE ASIS
TITLE OFFSET 2
.
TITLE Chebyshev Distance (IRIS.DAT)
Y1LABEL Chebyshev Distance
CHEBYSHEV DISTANCE PLOT Y1 Y2 X
    

 
set write decimals 3
dimension 100 columns
.
skip 25
read iris.dat y1 y2 y3 y4
skip 0
.
let z = generate matrix chebyshev distance y1 y2 y3 y4
print z
    

The following output is generated

        MATRIX Z       --            4 ROWS
                       --            4 COLUMNS

 VARIABLES--Z1             Z2             Z3             Z4      

          0.000          5.100          5.600          6.600
          5.100          0.000          4.300          4.000
          5.600          4.300          0.000          4.700
          6.600          4.000          4.700          0.000