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Confidence Intervall DOE

Created:
Apr 26, 2016 11:24 PM
| Last Modified: Oct 18, 2016 7:29 PM
(3324 views)

Hello there,

I have some issues concerning the evaluation of my results of a Design of Experiment which I conducted.

To Confirm my Response-surface-model, I conducted 6 confirmation runs. To check whether my model is able to describe the system I need it's confidence interval. But there is a problem. First I used the profiler in the prediction-model-window. But those values seemed to be to small, so I went on "Save Columns" and I saved the Formulas for "Individuals Confidence Formulas".

Using them in the prediction profiler graph, the results were different from those in the fit model window (See picture below) . How is that possible?

My second question is, what is the difference between the two formulas "Mean Confidence Limit Formula" und "Individual Confidence Limit Formula"?

I hope anyone can help.

Alexander

(I'm not a native speaker so I hope you can understand my problem even if there are some issues concerning language)

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Re: Confidence Intervall DOE

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Re: Confidence Intervall DOE

The confidence interval is for the mean response. The prediction or individual interval is wider because covers both the uncertainty in the mean and the error variance of the individual observations.

Alternatively, you could use a one-sample t-test with your sample of 6 observations against your predicted or expected mean.

Learn it once, use it forever!

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Re: Confidence Intervall DOE

Thank you for answering my question.

If i would use a t-test to compare my experimental results with my predicted value I would calculate my t-value using the standard deviation of my repeated measurements?

If I want to compare my experimental results (every confirmation experiment was measured three times to calculate the mean) with my predicted values is it better to chose the "confidence interval for the mean" or the "confidence interval of the individual measurements"?

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