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Dataplot Vol 2 Vol 1

MANHATTAN DISTANCE

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

      \( d = \sum_{i=1}^{n}{|X_{i} - Y_{i}|} \)

    The Manhattan distance is also referred to as the city block distance or the taxi-cab distance. It is equivalent to a Minkowsky distance with P = 1.

    The Manhattan distance is the distance measured along axes at right angles.

Syntax:
    LET <par> = MANHATTAN 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 Manhattan distance is stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = MANHATTAN DISTANCE Y1 Y2
    LET A = MANHATTAN 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:
    2017/03
Program:
     
    SKIP 25
    READ IRIS.DAT Y1 TO Y4 X
    .
    LET DIST  = MANHATTAN DISTANCE Y1 Y2
    SET WRITE DECIMALS 4
    TABULATE MANHATTAN DISTANCE Y1 Y2 X
    .
    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 Manhattan Distance (IRIS.DAT)
    Y1LABEL Manhattan Distance
    MANHATTAN DISTANCE PLOT Y1 Y2 X
        
    The following output is generated
                Cross Tabulate MANHATTAN DISTANCE
     
    (Response Variables: Y1       Y2      )
    ---------------------------------------------
           X          |   MANHATTAN DISTA
    ---------------------------------------------
             1.0000   |           78.9000
             2.0000   |          158.3000
             3.0000   |          180.7000
        
    > plot generated by sample program

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Date created: 07/20/2017
Last updated: 07/20/2017

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