# standard error and estimated residuals

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• #51936

Murray
Participant

is standard error the same as estimated residuals?

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#181830

Obiwan
Participant

Nick…no…and Darth will explain the difference…as he is better at that than me!  If he doesn’t, I will come back and give it a try
Obiwan

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#181835

Ken Feldman
Participant

Obi, thanks for assigning me some homework. Nick, the explanation is not quite as simple as your question so let me ramble on a bit and see if somewhere along the line I hit the answer.Standard Error – the term is often used in the context of the standard error of the mean which is the standard deviation divided by the square root of the sample size. Also can refer to the standard error of the regression. That S in Minitab is the standard deviation of the residuals.Estimated Residuals – you don’t see a lot of reference to that term. You do see regular residuals which is the vertical distance between the data point and the prediction line and sort of measures the “error” of the prediction. You can also have standardized residuals (my personal favorite) which divides the residual by the s.d. so you get residuals in terms of number of standard deviations.Don’t know if that hits your answer or not given the vagueness of your question but it should point you in the right direction.

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#181840

Obiwan
Participant

Darth
I knew you would do a better job than I could…I think your answer was BRILLIANT!
Obiwan

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#181851

Remi
Participant

Nick,
if you refer to the outcome of a Regression/ANOVA/DoE output:
The Residual is the value of the (standard?) Error for your chosen value of X.
In formula: Y = f(X… ) + Error and Residual = Y(measured)-Y(predicted).
Remi

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