topic Re: Response surface final equation in terms of actual factors in Discussions

Response surface final equation in terms of actual factors

Yang — Thu, 08 Jun 2023 20:58:15 GMT

I am very new to JMP and recently im using DOE for response surface methodology.

My question is; the equation in the softwear is given in terms of coded factors, how i can use this softwear to convert the equation with actual factors?

Many thanks

Yang

Re: Response surface final equation in terms of actual factors

Dan_Obermiller — Sun, 08 Oct 2017 17:22:12 GMT

One way is to save the prediction formula from the model fitting results. Open up the formula from the data table. From the red triangle pop up menu of the equation editor, choose simplify.

Re: Response surface final equation in terms of actual factors

Yang — Sun, 08 Oct 2017 17:41:29 GMT

Hi dan

Parameter Estimates

Term Estimate Std Error t Ratio Prob>|t|
Intercept 19,956667 0,320239 62,32 <,0001
Temp(45,75) -1,40125 0,196105 -7,15 0,0008
time(30,120) 1,27 0,196105 6,48 0,0013
E(0,1,1) 3,82625 0,196105 19,51 <,0001
Temp*time -1,31 0,277335 -4,72 0,0052
Temp*E -1,3075 0,277335 -4,71 0,0053
time*E 0,515 0,277335 1,86 0,1224
Temp*Temp -2,127083 0,288659 -7,37 0,0007
time*time -0,809583 0,288659 -2,80 0,0378
E*E -1,747083 0,288659 -6,05 0,0018

This is what i got for the formular, i have no idea how to do with it

Re: Response surface final equation in terms of actual factors

txnelson — Sun, 08 Oct 2017 18:28:31 GMT

What you are displaying are the Parameter Estimates for the model that is specified for your DOE. The definition of it can be found in the DOE Documentation

Help==>Books==>Design of Experiments Guide

If what you displayed is an attempt to follow what Dan indicated to do, let me clarify that for you. What was specified was to "save the prediction formula from the model fitting results". To do this, click on the red triangle and select

Save Columns==>Prediction Formula

This saves the Prediction Formula to the data table. Then, "Open up the formula from the data table.". To do this, go to the data table, right click on the header for the new column that has been added to the data table, and select "Formula"

The formula window will be opened up. Then you can "From the red triangle pop up menu of the equation editor, choose simplify"

This is the prediction formula for your Model

Re: Response surface final equation in terms of actual factors

Yang — Mon, 09 Oct 2017 11:10:21 GMT

Thank you very much!

Re: Response surface final equation in terms of actual factors

Yang — Tue, 24 Oct 2017 11:48:16 GMT

Hi Jim

I have another question about RSM result.

how can i obtain the anova table or the "Parameter Estimates" like this? i mean with the quadric and linear factor which give SS and MS values in the result? Many thanks

Re: Response surface final equation in terms of actual factors

txnelson — Tue, 24 Oct 2017 15:48:52 GMT

The source table you are referring to is found in the "EffectsTests" paragraph in the Anova(RSM) output.

By default the Mean Square is not displayed, since it is really a redundant statistic, however, it can be displayed if you right click on the table and select "Columns" and then select Mean Square.

Re: Response surface final equation in terms of actual factors

Afnanyasir — Tue, 10 Mar 2020 11:31:18 GMT

Respected sir, where do i get the final prediction equation of my model. sample images are attached for JMP prediction formula and actual required formula, Please help