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Dataplot Vol 2 Vol 1

MATRIX GROUP SD

Name:
    MATRIX GROUP SD (LET)
Type:
    Let Subcommand
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 group-id 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:
    None
Synonyms:
    None
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, Prentice-Hall, 1992.
Applications:
    Multivariate Analysis
Implementation Date:
    1998/8
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
Please email comments on this WWW page to alan.heckert@nist.gov.