 Dataplot Vol 2 Vol 1

# EUCLIDEAN LENGTH

Name:
EUCLIDEAN LENGTH (LET)
Type:
Let Subcommand
Purpose:
Compute the Euclidean length of a variable.
Description:
The Euclidean length of a variabe Y is defined as

$$\| Y \| = \sqrt{\sum_{i=1}^{n}{Y_{i}^{2}}}$$
Syntax:
LET <par> = EUCLIDEAN LENGTH <y>
<SUBSET/EXCEPT/FOR qualification>
where <y> is the response variable;
<par> is a parameter where the computed Euclidean length is stored;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET A = EUCLIDEAN LENGTH Y
LET A = EUCLIDEAN LENGTH Y SUBSET Y > 0
Note:
Dataplot statistics can be used in a number of commands. For details, enter

This command performs the same function as the VECTOR LENGTH command. The distinction is that EUCLIDEAN LENGTH is implemented as a Statistics LET subcommand while VECTOR LENGTH is implemented as a Mathematics LET subcommand. The Statistics LET subcommands work with the 25+ commands documented in HELP STATISTICS while the Mathematics LET subcommands do not.

Default:
None
Synonyms:
None
Related Commands:
 EUCLIDEAN DISTANCE = Compute the Euclidean distance. COSINE DISTANCE = Compute the cosine distance. MANHATTAN DISTANCE = Compute the Manhattan distance.
Applications:
Mathematics
Implementation Date:
2017/03
Program:

SKIP 25
READ IRIS.DAT Y1 TO Y4 X
.
LET LENGTH  = EUCLIDEAN LENGTH Y1
SET WRITE DECIMALS 4
TABULATE EUCLIDEAN LENGTH Y1 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 Length (IRIS.DAT)
Y1LABEL Euclidean Length
EUCLIDEAN LENGTH PLOT Y1 X

The following output is generated
            Cross Tabulate EUCLIDEAN LENGTH

(Response Variables: Y1       )
---------------------------------------------
X          |   EUCLIDEAN LENGT
---------------------------------------------
1.0000   |           35.4837
2.0000   |           42.1291
3.0000   |           46.7964 NIST is an agency of the U.S. Commerce Department.

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

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