MATRIX COLUMN STATISTIC

MATRIX COLUMN STATSITIC (LET)

Let Subcommand

Compute a user specified statistic for the columns of a matrix.

The resulting computed statistics are saved in array. The first row of the array is the statistic for column 1, the second row of the array is the statistic for column 2, and so on.

LET <y> = MATRIX COLUMN <stat> <mat>             <SUBSET/EXCEPT/FOR qualification>
where <mat> is a matrix for which the column statistic is to be computed;
            <stat> is the desired statistic to compute;
            <y> is a variable where the resulting column statistic is saved;
and where the <SUBSET/EXCEPT/FOR qualification> is optional.

The specified statistic can be any of the following:

MEAN, MIDMEAN, TRIMMED MEAN, WINSORIZED MEAN, MEDIAN,
GEOMETRIC MEAN, HARMONIC MEAN, HODGES LEHMAN,
BIWEIGHT LOCATION, MIDRANGE,
SD (or STANDARD DEVIATION), SD OF MEAN, VARIANCE,
VARIANCE OF MEAN, RELATIVE VARIANCE,
RELATIVE STANDARD DEVIATION, COEFFICIENT OF VARIATION,
AVERAGE ABSOLUTE DEVIAITION (or AAD),
MEDIAN ABSOLUTE DEVIATION (or MAD),
IQ RANGE, BIWEIGHT MIDVARIANCE, BIWEIGHT SCALE,
PERCENTAGE BEND MIDVARIANCE,
WINSORIZED VARIANCE, WINSORIZED STANDARD DEVIATION,
TRIMMED MEAN STANDARD ERROR,
RANGE, MAXIMUM, MINIMUM, EXTREME,
LOWER HINGE, UPPER HINGE,
LOWER QUARTILE, UPPER QUARTILE,
NINTH> DECILE
PERCENTILE, QUANTILE, QUANTILE STANDARD ERROR,
SKEWNESS, KURTOSIS, SUM, PRODUCT, SIZE (or NUMBER or COUNT),
AUTOCOVARIANCE, AUTOCORRELATION,
SIN FREQUENCY, SIN AMPLITUDE,
CP, CPK, CNPK, CPM, CC,
EXPECTED LOSS, PERCENT DEFECTIVE,
TAGUCHI SN0 (or SN), TAGUCHI SN+ (or SNL),
TAGUCHI SN- (or SNS), TAGUCHI SN00 (or SN2).

LET MMEAN = MATRIX COLUMN MEAN M
LET MMEAN = MATRIX COLUMN MEDIAN M
LET MMEAN = MATRIX COLUMN MEDIAN M SUBSET TAG = 1 TO 2

Matrices are created with either the READ MATRIX command or the MATRIX DEFINITION command. Enter HELP MATRIX DEFINITION and HELP READ MATRIX for details.

Statistics for the rows of a matrix can be computed using the MATRIX ROW STATISTIC command. Enter HELP MATRIX ROW STATISTIC for details.

None

None

MATRIX ROW STATISTIC	= Compute row statistics for a matrix.
MATRIX COLUMN DIMENSION	= Dimension maximum number of columns for Dataplot matrices.

"Applied Multivariate Statistical Analysis", Third Edition, Johnson and Wichern, Prentice-Hall, 1992.

Multivariate Analysis

1998/8

SKIP 25
READ MATRIX IRIS.DAT M
LET YM = MATRIX COLUMN MEANS M
LET YSD = MATRIX COLUMN SD M
SET WRITE DECIMALS 3
PRINT YM YSD