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Dataplot Vol 2 Vol 1

CHEBYSHEV DISTANCE

Name:
    CHEBYSHEV DISTANCE (LET)
Type:
    Let Subcommand
Purpose:
    Compute the Chebyshev distance between two variables.
Description:
    The Chebyshev distance between two variabes X and Y is defined as

      \[ d = \max_{i} {|X_{i} - Y_{i}|} \]
Syntax:
    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.
Examples:
    LET A = CHEBYSHEV DISTANCE Y1 Y2
    LET A = CHEBYSHEV DISTANCE Y1 Y2 SUBSET Y1 > 0 SUBSET Y2 > 0
Note:
    Dataplot statistics can be used in a number of commands. For details, enter

Default:
    None
Synonyms:
    None
Related Commands: Applications:
    Mathematics
Implementation Date:
    2017/08
Program 1:
     
    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
        

    plot generated by sample program

Program 2:
     
    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
        

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Date created: 08/31/2017
Last updated: 08/31/2017

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