Dear members, I have an experimentally measured data points(y) for the variable x. These data points are random data and collected from more than 100 samples. I have plotted these points in a graph (x,y) and find the correlation between them. It was non-linear second order polynomial. I have a cut-off value in the experimentally measured data points. I want to do uncertainty analysis or in other words I want to find out the uncertainty range in the variable x using the cut-off value.
What is the best statistical method could be adopted to find out the uncertainty range
I am not so sure what you are looking for exactly, but I am guessing you are looking for the Confidence Band (uncertainty range) with self-defined Confidence Level (cutoff) for a second polynomial fitting.
We have a figure in Polynomial Fit section which highlight confidence interval by pink filling in the graph:
If this is what you want, you can make use of our Polynomial Fit tool and set Confidence Level for Parameters(%) in the dialog under Quantities to Compute: Fit Parameters node.
Thank you for your reply. It is similar like what I expected. I have few questions How bootstrapping method is useful to find the uncertainty range in the variable along the x-axis with the cutoff value at the y-axis ? Is it same as you mentioned earlier?
from my experimental samples for the same x value I am getting a different y value. But I have a set point or cutoff point in my Y variable. I would like to find out the range in the variable x where the uncertainty takes place by using the cutoff point.
I would like to know, can I use the method which you have suggested is applicable?
and what is bootstrapping? is this method used to find the confidence interval?