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how to compare the shape of curves vs a baseline in JMP?

abdulj

Hi there

We are trying to evaluate the differences between measured data against an ideal baseline; in this case we're comparing the shape / magnitdue / quality of force displacement curves.

We've in the past compared the various slopes, peaks and valleys to do this, but are finding this doesnt capture all the variation we are seeing.

Is there a way to compare the entire "shape" of one curve against that of a baseline (for example comparing red vs blue in my attached plot)?

thanks

Accepted answers

All comments

Peter_Bartell

Is your goal to just characterize the magnitude of the delta at various locations along the x axis? If so I'd just create a simple run chart at predetermined x values and find the delta between one curve and the other. That will capture turning points, magnitude of delta, etc.

Jeff_Perkinson

If I'm interpreting your question correctly then the Functional Data Explorer in JMP Pro is likely what you're looking for.

Here are some resources for learning more about the Functional Data Explorer:

Mastering JMP webcast on using the Functional Data Explorer
Video demonstration from @Peter_Hersh

gzmorgan0

@abdulj, a sanitized (all IP removed) data table for the data representing your two curves would be a good example to test several of the options for the Functional Data Explorer platform, for example DTW, dynamic time warping, and column functions, etc.

If possible and you have time please post.

abdulj

Sure - see attached table with a script to show the graph. Basically how can i quantify how different each of these curves are from one another. And if I designated one of these curves as a "master", how can compare how closely each of the other ones compares to the master?

thanks again!

EXAMPLE DATA.jmp

Peter_Bartell

I think there a multiple ways that you could compare a 'master' curve to others. Some are more exploratory data analysis based like the correlation...some are more modeling based so I think some thought around what your criteria are for comparison is warranted before we offer more specific guidance. And also perhaps some insight around the practical purpose of the comparison and what decisions or actions it would lead to is helpful. Is it to explain, predict or something else? Reason I'm bringing all this up is the famous Anscombe's Quartet data set has 'curves' if you will, that have many identical 'statistics'...but the insight from each element of the quartet are very different. See Anscombe.jmp which is in the JMP Sample Data Directory.

ian_jmp

I did this in just a few minutes with Functional Data Explorer, FDE (requires JMP Pro 14) and without knowing your data, so it's not in any sense definitive. But it does confirm Jeff's suspicion that this might be an approach worth investigating.

It looked like ID1, ID2 and ID3, taken together, identify a unique trace. Using FDE showed that the first functional principal component accounted for nearly 95% of the variability between the traces, so might be a good measure of similarity or distance:

Screen Shot 2018-12-05 at 09.07.22.png

Take a look at the scripts within the updated table.

EXAMPLE DATA.jmp