Journal of the Japan society of photogrammetry and remote sensing
Online ISSN : 1883-9061
Print ISSN : 0285-5844
ISSN-L : 0285-5844
Two Dissimilar Semantics of Mean Square Error
Kazuo KOBAYASHI
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1991 Volume 30 Issue 3 Pages 42-48

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Abstract
We have been provided confusion to some extent by several explanations of dissimilar meanings with respect to a scientif ical terminology.
This paper shows a semantic problem concerning stochastic error term stood for “mean square error” (MSE) which does not exhibit only “root of mean of squared errors” in surveying and photogrammetry, but also indicates “average of squared errors” (or residuals) in statistics.
Therefore, it is highly recommended even in surveying and photogrammetry that precision and accuracy illustrated a dispersion and an extent of measurements, respectively, should be utilized variance and MSE (square of “RMS” (root mean square) error) which can be obtained with sum of squared differences between measurements and most probable parameter (or true value), divided by number of observations, or redundancy of them. Similarly, definition of “MSE” in statistics makes variance added to squared bias (systematic error) .
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