EUCLIDEAN LENGTH

EUCLIDEAN LENGTH (LET)

Let Subcommand

Compute the Euclidean length of a variable.

The Euclidean length of a variabe Y is defined as
\( \| Y \| = \sqrt{\sum_{i=1}^{n}{Y_{i}^{2}}} \)

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.

LET A = EUCLIDEAN LENGTH Y
LET A = EUCLIDEAN LENGTH Y SUBSET Y > 0

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

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.

None

None

EUCLIDEAN DISTANCE	=	Compute the Euclidean distance.
COSINE DISTANCE	=	Compute the cosine distance.
MANHATTAN DISTANCE	=	Compute the Manhattan distance.

Mathematics

2017/03

 
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