BINNED
Name:
Type:
Purpose:
Bin (i.e., create a frequency table) a response variable.
Description:
Binning a data variable means to divide it into classes
and compute the frequency for each class. This is the
numerical equivalent of a histogram. Creating the classes
for the binning uses the same rules as the histogram.
That is
 The class width is 0.3 times the sample standard
deviation.
 The lower limit is the sample mean minus 6 times the
standard deviation.
 The upper limit is the sample mean plus 6 times the
standard deviation.
As with the histogram, you can use the CLASS WIDTH, CLASS
LOWER, and CLASS UPPER commands to override these defaults.
Also, you can specify that relative frequencies rather than
counts be computed. The command
SET RELATIVE HISTOGRAM <AREA/PERCENT>
can be used to specify
whether relative frequencies are computed so that the area
sums to 1 or so that frequencies sum to 1. The first option,
which is the default, is useful for when using the relative
binning as an estimate of a probability distribution. The
second option is useful when you want to see what percentage
of the data falls in a given class.
Syntax:
LET <y2> <x> = BINNED <y1>
<SUBSET/EXCEPT/FOR qualification>
where <y1> is the response variable;
<y2> is a variable where the computed counts (or
frequencies) are stored;
<x> is a variable where the computed bin midpoints
are stored;
and where the <SUBSET/EXCEPT/FOR qualification>
is optional.
Examples:
LET Y2 X = BINNED Y
LET Y2 X = BINNED Y SUBSET TAG > 2
LET Y2 X = RELATIVE BINNED Y
Default:
Synonyms:
FREQUENCY TABLE is a synonym for BINNED and RELATIVE FREQUENCY
TABLE is a synonym for RELATIVE BINNED.
Related Commands:
HISTOGRAM

= Generate a histogram.

FREQUENCY PLOT

= Generate a frequency plot.

CLASS LIMIT

= Set class limits for histograms.

Applications:
Implementation Date:
Program:
LET Y1 = NORMAL RANDOM NUMBERS FOR I = 1 1 100
LET Y2 X = RELATIVE FREQUENCY TABLE Y
SET WRITE DECIMALS 3
PRINT X Y2
Date created: 6/5/2001
Last updated: 4/4/2003
Please email comments on this WWW page to
alan.heckert@nist.gov.
