topic Re: viscosity curve as response in DOE in Discussions

viscosity curve as response in DOE

YanivD — Thu, 08 Jun 2023 21:10:40 GMT

Hi,

i am running an experiment based on DOE. one of the responses is viscosity cure that is related to formulation rheological behavior.

the plots are viscosity Vs shear rate. For different formulations, the plots appear to be a bit different. Is there any way to compare and treat it as response for DOE further analysis?

Re: viscosity curve as response in DOE

statman — Thu, 04 Aug 2022 12:53:02 GMT

In short, yes. How might you quantify the differences in the curves? You can look at slopes, max, min, and of course simple graphical plots.

Re: viscosity curve as response in DOE

Mark_Bailey — Thu, 04 Aug 2022 13:39:15 GMT

JMP Pro has a platform called Functional Data Explorer that is designed for responses that are not a scalar values but instead are functions, profiles, or curves. It is an alternative approach to what @statman suggests through feature extraction.

FDE provides a feature called Functional DOE that treats each curve as a response to conditions defined by the runs in the DOE. You can fit a linear model and determine how factor settings affect the curve shape. You can optimize factor settings to achieve the desired shape. Actually, you can save the functional principal components and use them in analysis in the X or the Y role.

Re: viscosity curve as response in DOE

YanivD — Thu, 04 Aug 2022 20:26:43 GMT

Thank you @Mark_Bailey . How practically it can be done? for example, i two files

1. file with the DOE runs

2. viscosity file - file with one column including shear rate (x) and 10 columns (number of runs) with viscosity values (y).

the target is as you described - fit a linear model and determine how factor settings affect the curve shape.

please advise

Re: viscosity curve as response in DOE

YanivD — Thu, 04 Aug 2022 20:28:55 GMT

thanks @statman

the curves are different - part of them with high viscosity in zero share rate and part with lower. and also the shape is a bit different for each run.

Re: viscosity curve as response in DOE

Mark_Bailey — Fri, 05 Aug 2022 13:44:21 GMT

Please read the chapter I previously provided. It explains how to set up FDE. First, though, you must join the two tables.

Stack the viscosity data so that all the responses are in a single column and the shear rate is duplicated for every row.
Add a new column to the data table with the viscosity that indicates the run number for each curve.
Join the two data tables matching on run number.
Save the new joined table and use it to start FDE.

Re: viscosity curve as response in DOE

YanivD — Sun, 07 Aug 2022 08:12:25 GMT

dear @Mark_Bailey thanks - i will try it

Re: viscosity curve as response in DOE

SamGardner — Mon, 08 Aug 2022 12:40:08 GMT

Check out this presentation: