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The phrase "analysis of the randomness" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or study of random phenomena or data sets.
Example: "The analysis of the randomness in the data revealed patterns that were previously unnoticed."
Alternatives: "examination of randomness" or "study of randomness".
Exact(1)
Analysis of the randomness of missing data for days of wheeze, days had to slow down, nights woke-up, days limited activity, days parent lose sleep and days missed school for asthma using the permutation test indicated no significant dependence of drop out on the outcome values.
Similar(59)
All variables used are continuous measures which are analyzed by the Standardized Mean Difference, Random Effect Models, due to diversity of methods of measurement used in each analysis, to the randomness of patients sampling empirically done in each of the included studies, and to the high level of heterogeneity of their variance.
The paper concerns the analysis of subsystem randomness effects on the mid-frequency vibration responses of built-up systems.
The parameters of the deterministic model are obtained from a statistical evaluation of various bacterial resistance cases from around the world, but the deterministic analysis neglects the randomness of these parameters and regards these quantities as stable values.
This randomness may introduce important inertia in the analysis of the state of the players.
Sources and current methods of analysis of uncertainty from randomness, fuzziness and ignorance or incomplete knowledge in seismic hazard assessment problem are briefly discussed at beginning; understandings of the authors are then presented in the following order.
It means we can make sense of the randomness.
We propose an alternative method of analysis that explicitly accounts for the randomness of the stratum sizes and illustrate its validity using simulations.
The results from your own analysis may differ, due to the randomness of MCMC methods, but with longer chains the probability will converge to its true value.
The analysis of residuals supports the belief that the unexplained portion is attributable to randomness in individual choices.
This reflects the randomness of random path.
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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