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 Uncertanity analysis using cut-off or Threshold va
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kmgraju

Malaysia
18 Posts

Posted - 07/23/2015 :  02:46:57 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
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

Thank you for your time

Thank you

kmgraju

SeanMao

China
288 Posts

Posted - 07/23/2015 :  03:58:03 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

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:

http://originlab.com/index.aspx?go=Products/Origin/DataAnalysis/CurveFitting/LinearAndPolynomialFitting#5

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.

Regards!

Sean

OriginLab Tech. Service

Edited by - SeanMao on 07/23/2015 03:59:14 AM
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kmgraju

Malaysia
18 Posts

Posted - 07/23/2015 :  05:04:46 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
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?

Thank you

kmgraju


Edited by - kmgraju on 07/23/2015 05:11:35 AM
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SeanMao

China
288 Posts

Posted - 07/23/2015 :  9:19:07 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

The algorithm in finding the confidence interval in polynomial regression is in page below:

http://www.originlab.com/doc/Origin-Help/PR-Algorithm

Regards!

Sean

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kmgraju

Malaysia
18 Posts

Posted - 07/23/2015 :  11:11:48 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Thank you for your reply.

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?



Thank you
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SeanMao

China
288 Posts

Posted - 07/27/2015 :  01:49:41 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Currently we do not support computing confidence intervals using bootstrapping regression.

Regards!

Sean

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kmgraju

Malaysia
18 Posts

Posted - 10/31/2015 :  03:17:59 AM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,
Is there any update about Bootstrap regression

Thank you

Govind
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