topic Re: What is an Exponential 3P function? in Discussions

What is an Exponential 3P function?

ukhandurrani — Sat, 10 Jun 2023 23:42:02 GMT

Hi,
It is my first time using the Exponential 3P function (I think it is also called double exponential function, isn’t it?).

I don’t know what exactly the scale parameter in the Exponential 3P function means (please check the attached screenshot). Need some help in interpreting the estimated parameters of Exponential 3P.

Is it the correct form of the Exponential 3P function ?

Kind regards,

Re: What is an Exponential 3P function?

PatrickGiuliano — Thu, 23 Dec 2021 18:51:10 GMT

Hello @ukhandurrani This blog post from @JerryFish may give you some tools to further deepen your understanding of this function!

https://community.jmp.com/t5/JMP-Blog/Piecewise-Nonlinear-Solutions-Part-3-Using-JMP-s-Formula-Editor/ba-p/424744

Also, I recommend graphing this function in Graph Builder and comparing it to the same function with adjusted parameters (e.g. you can copy and paste the formula to a new column(s) and change on the parameter values, iterating by fixed amounts on parameters, a, b, and c); and this way you can compare the effect of changing the different parameters and understand how the parameters change the function curve response more intuitively. Hope this helps! @PatrickGiuliano

Re: What is an Exponential 3P function?

ukhandurrani — Thu, 23 Dec 2021 19:19:45 GMT

Thanks for the comments. I couldn't get any answer from the suggested post.
Respectfully,

Re: What is an Exponential 3P function?

KarenC — Thu, 23 Dec 2021 22:18:34 GMT

Scale is a measure of how spread out a distribution is. I would agree that you should look at graphing the function and change the scale parameter to understand how it changes the shape of the function.

Re: What is an Exponential 3P function?

Mark_Bailey — Thu, 30 Dec 2021 16:21:10 GMT

See this entry in JMP Help for the Nonlinear platform (I know you are using the Fit Curve platform) to see how to use interactive plotting of the graphs of the functions in the non-linear model library.