topic Re: Density contours in ternary diagrams in Discussions

Density contours in ternary diagrams

dp30 — Fri, 27 Oct 2023 14:25:54 GMT

Hello,

Is there a way to plot density contours on a ternary diagram in JMP17?

If not, is there a way to do this by using a custom Contour Formula in the ternary plot platform? What would be this formula?

Thanks

Re: Density contours in ternary diagrams

Jed_Campbell — Fri, 27 Oct 2023 15:07:25 GMT

Contour Formulas for ternary plots are generally saved prediction formulas. Here's a walk-through of how to create.

Is this what you're looking for?

Re: Density contours in ternary diagrams

dp30 — Fri, 27 Oct 2023 15:20:52 GMT

Thank you Jed, but no, this is not what I am looking for. I need to plot density contours.

Unless you know a prediction formula that can lead to the density fonction?

Re: Density contours in ternary diagrams

Jed_Campbell — Fri, 27 Oct 2023 15:47:08 GMT

Ah, my bad. I'm not aware of a way to do density contours in a ternary plot. Hopefully someone else has a better answer.

Re: Density contours in ternary diagrams

dp30 — Tue, 14 Nov 2023 14:08:19 GMT

Hello, no one knows how to do that? :(

Re: Density contours in ternary diagrams

Victor_G — Mon, 20 Nov 2023 16:08:52 GMT

Hi Damien @dp30,

What I do for mixture Space-Filling designs (with few factors like 3) to see homogeneity of points distribution in experimental space is to use the Graph Builder and combine several informations on one graph, using 2 factors at the same time (X1 and X2 here) :

Using a dummy column you can plot histogram (kernel density style) next to a contour plot for X1 & X2.
I didn't spend time customizing the colors, but here is the script so you can try it :

Graph Builder(
	Size( 711, 588 ),
	Show Control Panel( 0 ),
	Variables( X( :X1 ), X( :Area ), Y( :Area ), Y( :X2 ) ),
	Relative Sizes( "X", [558 99] ),
	Relative Sizes( "Y", [112 411] ),
	Elements(
		Position( 1, 1 ),
		Histogram(
			X,
			Y,
			Legend( 19 ),
			Overlap( 0.6394 ),
			Histogram Style( "Kernel Density" ),
			Smoothness( -0.5229 )
		)
	),
	Elements(
		Position( 1, 2 ),
		Points( X, Y, Legend( 3 ) ),
		Contour( X, Y, Legend( 5 ), Number of Levels( 4 ) )
	),
	Elements( Position( 2, 1 ), Points( X, Y, Legend( 12 ) ) ),
	Elements(
		Position( 2, 2 ),
		Histogram(
			X,
			Y,
			Legend( 18 ),
			Overlap( 1.089 ),
			Histogram Style( "Kernel Density" ),
			Smoothness( -0.4128 )
		)
	),
	SendToReport(
		Dispatch(
			{},
			"graph title",
			TextEditBox,
			{Set Text( "Visualisation X1 & X2 experimental space" )}
		),
		Dispatch( {}, "Y title", TextEditBox, {Set Text( "" )} ),
		Dispatch(
			{},
			"400",
			LegendBox,
			{Legend Position( {19, [4], 3, [0], 5, [1], 12, [2], 18, [3]} )}
		)
	)
);

I can reproduce it on a toy sample dataset if you wnt to see in details how it is constructed with Graph Builder.

Best,

Re: Density contours in ternary diagrams

dp30 — Tue, 21 Nov 2023 08:06:42 GMT

Thank you Victor for your help, it would be great if this could work with ternary plots also. Here is a toy sample dataset in case you would like to play with it ;) Don't bother with the last column with the Mixture Density formula.

Thanks again

Re: Density contours in ternary diagrams

Victor_G — Tue, 21 Nov 2023 09:06:00 GMT

Unfortunately Graph Builder is not able to do Ternary plot, and the Ternary plot graph options doesn't seem to be fully customizable.
Here is an attempt at visualizing the experimental space in 2D :

You'll find attached in the datatable the script used to realize this graph.

Hope this may help you in the meantime,

Re: Density contours in ternary diagrams

dp30 — Tue, 21 Nov 2023 09:20:49 GMT

Nice ! Thank you Victor.

Hopefully density contours in ternary plot will come with JMP 19 version ;)