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Dataplot Vol 2 Vol 1

EUCLIDEAN DISTANCE

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

      \( \mbox{d} = \sqrt{\sum_{i=1}^{n}{(X_{i} - Y_{i})^{2}}} \)

    The Euclidean distance is the straight line distance between two points in Euclidean space.

Syntax:
    LET <par> = EUCLIDEAN 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 Euclidean distance is stored;
    and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
    LET A = EUCLIDEAN DISTANCE Y1 Y2
    LET A = EUCLIDEAN DISTANCE Y1 Y2 SUBSET Y1 > 0 SUBSET Y2 > 0
Note:
    Dataplot statistics can be used in a number of commands. For details, enter

    This command performs the same function as the VECTOR DISTANCE command. The distinction is that EUCLIDEAN DISTANCE is implemented as a Statistics LET subcommand while VECTOR DISTANCE is implemented as a Mathematics LET subcommand. The Statistics LET subcommands work with the commands documented in HELP STATISTICS while the Mathematics LET subcommands do not.

Default:
    None
Synonyms:
    None
Related Commands: Applications:
    Mathematics
Implementation Date:
    2017/03
Program:
     
    SKIP 25
    READ IRIS.DAT Y1 TO Y4 X
    .
    LET DIST  = EUCLIDEAN DISTANCE Y1 Y2
    SET WRITE DECIMALS 4
    TABULATE EUCLIDEAN 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
    .
    SET STATISTIC PLOT REFERENCE LINE AVERAGE
    TITLE Euclidean Distance (IRIS.DAT)
    Y1LABEL Euclidean Distance
    EUCLIDEAN DISTANCE PLOT Y1 Y2 X
        
    The following output is generated
                Cross Tabulate EUCLIDEAN DISTANCE
     
    (Response Variables: Y1       Y2      )
    ---------------------------------------------
           X          |   EUCLIDEAN DISTA
    ---------------------------------------------
             1.0000   |           11.3097
             2.0000   |           22.5989
             3.0000   |           25.8606
        
    plot generated by sample program

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Date created: 07/10/2017
Last updated: 07/10/2017

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