What is the difference between RMSE and standard deviation?

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Discussion Overview

The discussion centers on the differences between Root Mean Square Error (RMSE) and standard deviation, particularly in the context of multivariate analysis. Participants explore theoretical and practical implications of both metrics.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants suggest that standard deviation may refer to a theoretical value, while RMSE is derived from data.
  • One participant notes that standard deviation is an actual population parameter, whereas RMSE is based on model results, implying that RMSE serves as an estimator of standard deviation.
  • Another participant mentions that if RMSE is an unbiased estimator, it would equal the standard error.
  • A participant provides a link to an external source for further information, questioning its credibility.

Areas of Agreement / Disagreement

Participants express differing views on the definitions and applications of RMSE and standard deviation, indicating that multiple competing perspectives remain in the discussion.

Contextual Notes

Some assumptions about the definitions of RMSE and standard deviation are not fully explored, and the discussion does not resolve the nuances between theoretical and empirical applications of these metrics.

evidenso
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hello
can anyone explain what the difference is between RMSE and standard deviation. I am using RMSE in multivariate analysis but is it just the standard dev. why another name?
 
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It may be a quibble, but sometimes standard deviation means the theoretical value, while RMSE might be used for the value derived from the data. (I could be wrong).
 
evidenso said:
hello
can anyone explain what the difference is between RMSE and standard deviation. I am using RMSE in multivariate analysis but is it just the standard dev. why another name?

If I recall correctly, the standard deviation is an actual population parameter whereas the RMSE is based on a model (e.g. regression analysis). In other words, the RMSE is an estimator of the standard deviation based on your model results. If it is an unbiased estimator, then it will be equal to the standard error.

CS
 

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