Root mean square error (RMSE, ‘rmse’)

Abel Torres-Espín; Austin Chou; J Russell Huie; Nikos Kyritsis; Pavan S Upadhyayula; Adam R Ferguson

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Root mean square error (RMSE, ‘rmse’)

AT Abel Torres-Espín

AC Austin Chou

JH J Russell Huie

NK Nikos Kyritsis

PU Pavan S Upadhyayula

AF Adam R Ferguson

This method is extracted from research article: eLife, Jan 2021

Reproducible analysis of disease space via principal components using the novel R package syndRomics

DOI: 10.7554/eLife.61812

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RMSE has also been used as a metric for factor matching (Guadagnoli and Velicer, 1991). It is calculated as the square root of the average squared difference of the loadings of the variables as (4):

where $n$ is the number of variables in both components $x$ and $y$ . A RMSE of 0 determines a perfect matching, and therefore the smaller the RMSE is, the more equivalent the two components $x$ and $y$ are.

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