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The phrase "analyses of the dependence" is correct and usable in written English.
It can be used when discussing research or studies that examine the relationship or reliance between two or more variables or factors.
Example: "The analyses of the dependence between economic growth and employment rates reveal significant correlations."
Alternatives: "examinations of the reliance" or "studies of the dependence".
Exact(2)
Stern Volmer analyses of the dependence of fluorescence intensity on Hg2+ and Pb2+ are reported.
By the analyses of the dependence of the roughness, σ, of the surface roughness power,P f), and of the correlation length,ξ, on the film thickness,h, the roughness exponent,α = 0.9 ± 0.1, the growth exponent,β = 0.3 ± 0.1, and the dynamic scaling exponent,z = 3.0 ± 0.1 were independently obtained.
Similar(58)
We performed statistical analyses of the dependences of cell fate on initial states and on input signals.
Further analyses of the frequency dependence of the surface impedance of a layered-Earth model are beyond the scope of this article.
As examples, analyses of the temperature dependence of Michaelis Menten (K′PYRm) and substrate inhibition (KsiPYR) constants for pyruvate, of the maximal rate of reaction (V′max), of the apparent Arrhenius activation energy (EA), and of the Gibbs free-energy change (ΔG‡) of lactate dehydrogenases from muscle of Atlantic cod Gadus morhua acclimated to 4 °C are described.
The analyses of the temperature dependence of the CCT CP interaction in homologous combination suggest that the binding affinities of psychrophilic and mesophilic CCTs and CPs in heterologous combination would likely be low.
Preliminary analyses of the age-dependence of changes in natural mortality of SGSL cod indicate that the increased natural mortality in the 1990s and 2000s is restricted to the older ages classes (5 years and older; Swain et al. 2009, see their appendix III).
The analyses of dependences of the electrical conductivity, the capacitance, and the sensing ability on the concentration of water vapor point to a notable increase in the sensitivity of the composite at the relative humidity approximately 80%.
In the absence of validation data, we carried out sensitivity analyses to assess the dependence of the results on the imprecision of fish intake as a confounder.
Another limitation of meta-analyses is the dependence on the level of detail reported in the original papers.
Replicating standard univariate analyses, we showed the dependence of heritability estimates on choice of transformation.
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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