Here is a graphical view of the categorical table
where each cell is a circle of proportional diameter.
Sort of a diametrical viewmat.


To paste in View Definition of Plot demo

mth=. '"" "L L" "H L" "L H" "H H" ""'
pd 'type point'
pd 'graphbackcolor mediumgray'
pd 'gridcolor 230 230 230'
pd 'axes 1 1;axiscolor white'
pd 'xticpos 0 1 2 3 4 5 '
pd 'yticpos 0 1 2 3 4 5 '
pd 'xlabel ',mth
pd 'ylabel ',|.mth
pd 'color blue'

data=.  2.5 * 4 [EMAIL PROTECTED]
diam=:  pd@('pensize ',":)
coord=: [: ;&,/ 1 + 4 4&#:
view=:  <@([EMAIL PROTECTED] ] ([: pd coord)@])"0

(10*data) view i.4 4


--- Bill Harris <[EMAIL PROTECTED]> wrote:

> 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.)



 
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