Re: 3-variable modeling

Subject: Re: 3-variable modeling
From: Jan Henning <henning -at- r-l -dot- de>
To: TECHWR-L <techwr-l -at- lists -dot- raycomm -dot- com>
Date: Thu, 22 Jan 2004 17:12:53 +0100

I'd like some ideas on displaying three variables on a piece of paper in
such a way that the result is as easy to comprehend as two variables are in
your basic x-y axis graph.

There is probably no really good way to do this, because you have one more variable than dimensions. However, there are some techniques:

- If the three variables always add up to a constant value, you can display them as a dot in an equilateral triangle (a so-called ternary chart). See http://support.redrocksw.com/downloads/files/ DG5%20Mac%20Chart%20Types%20Quick%20Reference.pdf for an explanation and www.ateec.org/curric/activities/ac29.html for an example

- You can plot the values as dots or columns in a three-dimensional chart projected to two dimensions (i.e., a 3D chart such as offered by Excel and other application displayed on screen or paper). It is however frequntly impossible to tell the three corrdinates from looking at the graph, so this is usually not a satisfactory solution.

- You can plot two values in a standard 2D scatterchart and indicate the third one by altering the color strength* of the dots or their sizes.

Regards
Jan Henning


* As Edward Tufte writes, varying the color hue (e.g., use yellow for low values, red for medium ones, and blue for high values) is hard to recognize. It is better to use the intensity.



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Jan Henning
ROSEMANN & LAURIDSEN GMBH
Am Schlossberg 14, D-82547 Eurasburg, Germany

Phone: +49 700 0200 0700, Fax: +49 8179 9307-12
E-Mail: henning -at- r-l -dot- de, Web: www.r-l.de
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References:
RE: white paper: From: whitedh
white paper - let's try again.: From: Andrea Brundt
Re: white paper - let's try again.: From: Dick Margulis
3-variable modeling: From: Paul Strasser

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