MATRIX GROUP SD
Name:
Type:
Purpose:
Compute the group standard deviations of a matrix.
Description:
This command operates on a matrix (M) and a group id variable
(TAG). The TAG variable has the same number of rows as the
matrix M. The values of TAG are typically integers that
identify the group to which the corresponding row of the
matrix belongs.
The MATRIX GROUP SD command returns a matrix with the
same number of columns as the original matrix M and with
the number or rows equal the number of groups identified
by the TAG variable. That is, SD(2,3) is the standard
deviation of of the third variable of the second group.
Syntax:
LET <mat2> = MATRIX GROUP SD <mat1> <tag>
<SUBSET/EXCEPT/FOR qualification>
where <mat1> is a matrix for which the group standard
deviations are to be computed;
<tag> is the groupid variable;
<mat2> is a matrix where the resulting
group standard deviations are saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.
Examples:
LET MMEAN = MATRIX GROUP SD M TAG
LET MMEAN = MATRIX GROUP SD M TAG SUBSET TAG = 1 TO 2
Note:
Matrices are created with either the READ MATRIX command or the
MATRIX DEFINITION command. Enter HELP MATRIX DEFINITION and
HELP READ MATRIX for details.
Note:
Row and column statistics for a matrix can be computed
using the MATRIX ROW STATISTIC and MATRIX COLUMN STATISTIC
commands. Enter HELP MATRIX ROW STATISTIC and
HELP MATRIX COLUMN STATISTIC for details.
Default:
Synonyms:
Related Commands:
MATRIX GROUP MEANS

= Compute the group means for a matrix.

MATRIX MEAN

= Compute the overall mean for a matrix.

MATRIX COLUMN STATISTIC

= Compute column statistics for a matrix.

MATRIX ROW STATISTIC

= Compute row statistics for a matrix.

MATRIX COLUMN DIMENSION

= Dimension maximum number of columns for Dataplot
matrices.

Reference:
"Applied Multivariate Statistical Analysis", Third Edition,
Johnson and Wichern, PrenticeHall, 1992.
Applications:
Implementation Date:
Program:
DIMENSION 50 COLUMNS
SKIP 25
READ IRIS.DAT Y1 Y2 Y3 Y4 TAG
LET N = SIZE Y1
LET M = MATRIX DEFINITION Y1 N 4
LET Z = MATRIX GROUP SD M TAG
Date created: 6/5/2001
Last updated: 4/4/2003
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alan.heckert@nist.gov.
