MATRIX BIN

MATRIX BIN (LET)

Let Subcommand

Generate s frequency table for the elements in a matrix.

There are times when you may want to generate a histogram for all the elements in a matrix. This command can help perform that task.

The same rules that a histogram uses to determine classes apply to this command as well.

Specifically, the default class widths are determined as follows:

1. The defalt class width is 0.3 times the sample standard deviation.

2. The lower class limit is the sample mean minus six times the sample standard deviation.

3. The upper class limit is the sample mean plus six times the sample standard deviation.

You can override these defaults with the commands

CLASS WIDTH <value>
CLASS LOWER <value>
CLASS UPPER <value>


The SET HISTOGRAM CLASS WIDTH lets you set several other alternatives for the default class width.

LET <Y2> <X2> = MATRIX BIN <M>
where <M> is a matrix;
            <X2> is a variable where the computed class mid-points are returned;
and     <Y2> is a variable where the computed class frequencies are returned.

LET Y2 X2 = MATRIX BIN M

None

None

HISTOGRAM	= Generate a histogram.
CLASS WIDTH	= Specify the class width for subsequent histograms.
CLASS LOWER	= Specify the lower limit for subsequent histograms.
CLASS UPPER	= Specify the upper limit for subsequent histograms.
SET HISTOGGRAM CLASS WIDTH	= Specify alternative default class width algorithms for subsequent histograms.

Distributional Modeling

2006/3

DIMENSION 100 COLUMNS
READ MATRIX SIGMA
1.0     -0.707  0.0    0.0    0.0
-0.707   1.0    0.5    0.5    0.5
0.0      0.5    1.0    0.5    0.5
0.0      0.5    0.5    1.0    0.5
0.0      0.5    0.5    0.5    1.0
END OF DATA
.
LET MU = DATA 0 0 0 0 0
LET N = 200
LET M = MULTIVARIATE NORMAL RANDOM NUMBERS MU SIGMA N
.
LET Y2 X2 = MATRIX BIN M
HISTOGRAM Y2 X2