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I'm trying to communicate the results of a simple 4-factor factorial
experiment.  I've set each of those factors to their miminum and maximum
values, and I've got a list of 16 numbers representing the response at
each of those 16 settings.

I tried a surface or wire plot, but I couldn't figure out how to label
the axes.  I tried a plot with i.16 on the abscissa, the responses at
each of the 16 points on the ordinate, and a table to relate data point
(abscissa) to experimental condition, but one person out of two who have
seen it so far found that non-intuitive.

If I try to sketch it here, it would become something like

          V  V
          a  a
          r  r

          1  2
                 +---------------------+
          L  L   |0.2   0.1   0.2   0.1|
                 |                     |
          L  H   |0.7   0.6   0.7   0.6|
                 |                     |
          H  L   |0.8   0.6   0.8   0.6|
                 |                     |
          H  H   |2.2   1.7   2.2   1.7|
                 +---------------------+
                  L     H     L     H     Var 3
                  L     L     H     H     Var 4


but with a graph in the middle.  

Has anyone seen a nice way to plot this?  It'd be nice if it worked well
in J (or possibly Gnuplot) without a lot of manual placing of text on
the graph.

Part of me wonders if I'd be better off just to do a table of numbers.
That might be pretty clear, especially if I swap the zeroth and first
columns.  That would put the two highest variables at the center bottom
and the next two at the outside bottom.  (Making such a table
cylindrical makes that even clearer, but that may be a bit excessive.)

Thoughts?

Thanks,

Bill
- --
Bill Harris                      http://facilitatedsystems.com/weblog/
Facilitated Systems                              Everett, WA 98208 USA
http://facilitatedsystems.com/                  phone: +1 425 337-5541
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