Hi all,
I'm good with using intervals of simple regression models like: confidence intervals (to predict mean of future samples) & prediction interval (Predict all future observations- single pcs)
But a question when working with DOE-multiple regression model & Prediction interval
For example, I have a model when build by DOE 3 factors. What did I do is for each run, I repeat by building 10 sample and using mean of them to put in DOE table (they are normally distributed with std Deviation is 0.3)

With the result, The chart with the line red area shows me the confidence intervals in each predicted response value=> predict mean of samples. I get it.
But when I want to have the prediction intervals. Range For every single observation I will have in the future. I'm a bit confuse between 2 options.
- OP1: For every single observation in the future will be in the range of : confidence interval + RMSE
- OP2: For every single observation in the future will be in the range of : confidence interval + RMSE + 0.3 (std deviation from Repetition during the test.
Which one is correct?
Is my repetition data require me to add more variation in future prediction because I tend to use repetition to remove noise from my test at first ?
Is there any function in JMP that helps me to calculate this prediction interval automatically?
Thank you all for helping