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BANK procedure

Calculates the optimum aspect ratio for a graph (J. Ollerton & S.A. Harding).

Option

WINDOW = scalar Window number; default 1

Parameters

Y = variates Vertical coordinates
X = variates Horizontal coordinates
ASPECTRATIO = scalars Store the calculated aspect ratios

Description

BANK calculates the aspect ratio for a graph from the data to be plotted, specified as y and x variates. A window is set up using the FRAME directive so that the y and x dimensions are in the correct ratio; by default the window used is window 1, but this can be changed using the WINDOW option. The new window bounds are guaranteed to be within the existing definition; if the new aspect ratio is less than the current value the y upper bound of the window is reduced by an appropriate amount, otherwise the x upper bound is reduced. The aspect ratio can be saved using the parameter ASPECTRATIO.

Option: WINDOW.

Parameters: Y, X, ASPECTRATIO.

Method

The aspect ratio is calculated from the X and Y variates of data using the Median-absolute-slope algorithm which centres the orientations of the individual line segments on 45 degrees. The specified window is resized to obtain the optimum aspect ratio within the plotting area; the existing axis margin sizes are preserved.

Action with RESTRICT

The Y and X variates can be restricted, however this restriction must be identical for both variates. Existing restrictions will not be altered.

References

Cleveland, W.S. (1987). Graphical Perception: The visual decoding of Quantitative Information on graphical displays of data. Journal of the Royal Statistical Society, Series A, 150, 192-229.

Cleveland, W.S. (1993). Visualizing Data. Hobart Press, Summit, New Jersey.

See also

Directive: FRAME.

Commands for: Graphics.

Example

CAPTION   'BANK example'; STYLE=meta
VARIATE   Distance,Speed
READ      Distance,Speed
0.1 10.05
0.2 10.1
0.4 9.1
0.8 7.8
1.0 7.5
1.5 7.0
2.0 6.8
3.0 6.6
5.0 6.4
10.0 6.1
20.0 5.9
25.0 5.75
30.0 5.7  :
CALCULATE Distance = LOG10(Distance*1000)
PEN       1; SYMBOL=1; METHOD=LINE
XAXIS     1; TITLE='Distance (log_10 meters)'
YAXIS     1; TITLE='Average Speed'
BANK      Speed; Distance
DGRAPH    [TITLE='BANK example';KEYWINDOW=0] Speed; Distance
Updated on March 8, 2019

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