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The phrase "analysis has been based" is correct and usable in written English.
It can be used when discussing the foundation or underlying principles of an analysis in a report or academic paper.
Example: "The analysis has been based on a comprehensive review of the existing literature and empirical data."
Alternatives: "the analysis relies on" or "the analysis is grounded in".
Exact(17)
The analysis has been based on the system COP.
The present semiotic analysis has been based on the National Corpus of Russian Language (www.ruscorpora.ru).
The data analysis has been based on the Combined application of Largest Lyapunov Exponent and Tsallis Entropy (CLLETE).
The economic analysis has been based on Discounted cash flow method tanking into account operative and maintenance expenditures.
This approach worked well for Silver on the subjects of politics and sports, where much of the traditional analysis has been based on 'gut feelings' rather than on crunching data.
To obtain optimal overall optical performance of the novel smart CPV analysis has been based upon all necessary design parameters including the average reflectivity of the thermotropic reflective layer, the glazing cover dimension, the glazing cover materials as well as the dimensions of the solar cells.
Similar(43)
But the four dissenting Justices in Roper rejected the idea that the same claim of diminished culpability could be made for all juveniles, since the Court's analysis had been based on aggregate differences between youths and adults, which may have little bearing on the sophistication of individual defendants, particularly those at the "margins between adolescence and adulthood".
As the number of ICU days with SIRS observed in this study population matched well with what the power analysis had been based on, it is unlikely that our trial was underpowered to detect a significant difference between groups in this study population.
To date, many of the modelling studies have focused on measles with much important analysis having been based on a relatively small number of long data series.
For example, when examining for overall effects, the primary purpose of meta-analysis [ 76], studies claiming the superiority of IPD over aggregate data meta-analysis have been based on comparisons of a different number of studies between the two [ 82, 83].
The site response analysis presented here has been based on ambient vibration observations.
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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