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Jan
31
awarded  Nice Question
Jul
20
awarded  Popular Question
May
27
awarded  Popular Question
Aug
3
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@all Yes, triplets. Assume an .xls spreadsheet with three columns, X,Y,Z. What would be the code to bring it in and use ListContourPlot? Wonder if it will look similar to the plot at top of page here. Curious to see it. Thanks for sticking with this little project.
Aug
1
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
Your insights into what's going on behind the data are great. I especially appreciate the line, "This is one of infinitely many ways to approximate, interpolate, or otherwise model these data." Thank you for pointing this out. The "sweet spot" is so elusive.
Aug
1
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
My only additional requests would be to show how the smoothing can be done DIRECTLY within Mathematica 8.04, as best one can, without using any other program (R, etc.). And to produce a contour plot similar to the one shown at top, so that a comparison can be made.
Aug
1
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
Really top-notch analysis. I'll read and re-read it over many times. And carefully follow the steps in Mathematica. Surely your treatment here will be helpful to others as well.
Jul
31
awarded  Supporter
Jul
31
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@Mr.Wizard Thanks much. Greatly appreciate your help. Will use pastebin.com from now on.
Jul
31
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
SmoothDensityHistogram not appropriate for this problem. X,Y,Z in data file. But need to smooth Z.
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@Verbeia Thanks for your answer below. I tried above to add more about the data used.
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@whuber In your opinion, need it always be necessary to see data before providing guidance on creating a contour plot?
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@belisarius By Z being continuous, I mean that the original Z data (before smoothing by SAS) ranged from -4 to +4, with precision out to four decimal places.
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@Mr.Wizard If it would be useful, I'd be happy to provide the data. However I was hoping that someone with experience making such plots would be around to say what their experience has been, and to provide pointers and tips.
Jul
29
awarded  Commentator
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@Jagra But..., to be sure, I want to see how Mathematica will handle such a plot. If Mathematica's version of this indicates "quadrant low-X low-Y" is not, in general, low-Z, then I'll question the conclusion one draws from the SAS plot.
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@Mr.Wizard Surely the plot above should be considered more than just a pretty picture. Can one not at least divide up the plot into quadrants, and conclude that combinations of low X and low Y have, in general, lower Z values? Seems that, at the very least, would be a useful conclusion to be drawn.
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
@whuber SAS asks user to select a value for the smoothing -- from 0 to 100 -- with the default smoothing value being 5. For the plot produced above I stayed with the default value. So I'm very curious to see how Mathematica approaches this. Some further explanation of data given in edited version above.
Jul
29
revised Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
Comments called for explanation of data used....
Jul
29
comment Creating Optimal “Smoothed” Contour-Type Plots (X,Y,Z) Using Mathematica 8.04
Whoever imported my plot, and tidied up, thank you very much! "Optimal" in this case would mean meaningful, readily identifiable, legitimate. In plot shown above, one would have great hopes that the red indeed marks the "sweet spot." I want to produce a similar (?) plot in Mathematica to compare with the one shown above (produced in SAS).