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The phrase "independence of observations" is correct and usable in written English
It can be used to describe a situation where each observation or data point in a study is not influenced by or related to any other observation. This is an important concept in statistical analysis. Example: The validity of our research findings depends on the independence of observations, as any correlation between data points could bias the results.
Exact(46)
Perfusion fMRI time series were found to be roughly independent in time, and voxelwise statistical analysis assuming independence of observations yielded false-positive rates compatible with theoretical values using appropriate analysis methods.
Independence of observations.
Conventional statistical process control (SPC) charts assume independence of observations.
Independence of observations: this is an assumption of the model that simplifies the statistical analysis.
This fact conflicts with the assumptions of statistics such as, e.g., the independence of observations.
The assumptions of independence of observations and homogeneity of variance/covariance were checked and met.
Similar(14)
Spatial autocorrelation violates one of the important assumptions of traditional statistics-independence of observations.
Non-independence of observations is a further complicating factor for statistical analysis.
The Huber-White sandwich estimator accounts for the non-independence of observations within each cluster.
Moreover, the partial non-independence of observations may be another less likely explanation.
All models accounted for the non-independence of observations among births to the same women using generalized estimating equations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com