Re: Contour plots & smoothing: rights and wrongs

From: Gerhard Nebe-von-Caron (Gerhard.Nebe-von-Caron@unilever.com)
Date: Wed Oct 01 1997 - 08:50:50 EST


          To achieve that combination of dot and contour mentioned 
          below you can use the map function in WinMDI or make very 
          nice overlay graphs using WinMDI and paintbrush. I tend to 
          use the old 1.3.4 version as it does true colour gating and 
          paste the plots into paintbrush (remember to set the 2D size 
          to 256x256).  I than use the contour plot and paste it to 
          the same picture. When you then click the frame it produces 
          a nice overlay of contours on dots.  The colourgating also 
          reveals that what you see as a single cluster is made up 
          from dots of different colour which immediately tells you 
          that there is no natural preference of dot density or 
          contour but a selection of display fit for the purpose that 
          demonstrates the point to be made.  But if the articles get 
          judged by their artistic value instead of their scientific 
          content.....
          The Deskjet 1600CM on our XL can also translate the colours 
          in distinguishable gray scale which is very nice for b&w 
          reproduction.
          
          If you want to get rid of warts you have endless ways of 
          data manipulation of which gating has probably the biggest 
          impact, pixel resolution smoothing following.  A lot of 
          people do not show any plots in their publications so you 
          can not even guess on the underlying data. If they do, 
          the manipulations are usually obvious to the skilled 
          cytometrist but could do with some explanation for the 
          average reader. 
          
          Happily plodding along
          
          Gerhard.Nebe-von-Caron@unilever.com
          


______________________________ Reply Separator _________________________________
Subject: Contour plots & smoothing:  rights and wrongs
Author:  Roederer@Beadle.Stanford.EDU at INTERNET
Date:    24/09/97 22:55


>   Since I believe in showing the real data, warts and all,
>   I avoid using contour plots

Howard,

I must take issue with this.  Contour plots (when properly computed) do not
inaccurately display bivariate data.  In fact, they can be much more informative
than even color (or gray-scale) dot plots, which are much more difficult for
most people to readily interpret.  It's not difficult to make up a series of
test plots, shown in both formats, and demonstrate that the inexperienced person
will more readily estimate the population frequency in a contour plot than a
color-dot plot.  This, ultimately, is the goal in graphical presentation of
data.

Of course, you will agree that dot plots are completely inappropriate.
(Everyone:  please stop publishing data with single-color dot plots!)

You also stated that "smoothing" makes the data "look better" than it is.  This
is also not entirely correct--proper smoothing algorithms simply make the
contour plot look like it would if you were to collect a huge number of events.
In other words, proper density estimation algorithms, which are those that
employ a variable kernel-width smoothing algorithm, do not distort the data
presentation, and, in general, make it easier to interpret by mere humans.  Dave
Parks and Marty Bigos have discussed these issues at length in various chapters
on data analysis (for example, in the Handbook of Experimental Immunology).

The main downside of contour plots is that data outside the last contour is
generally not shown.  This problem has a simple solution:  by showing outlying
events together with contour plots:  thus, the contours give you the frequency
estimation that they are so good at, but the outliers will shown the low
frequency events.  This format combines the best qualities of both presentation
styles.

mr



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