The phrase "analysis does not depend" is correct and usable in written English.
It can be used when discussing the independence of an analysis from certain factors or variables.
Example: "In this study, we will demonstrate that our analysis does not depend on the initial assumptions made."
Alternatives: "analysis is independent of" or "analysis is not reliant on".
It is shown that this analysis does not depend significantly on the gate sidewall dielectric constant or its spacing.
Moreover, our analysis does not depend on large, complex global climate models, the huge computer programs that are notorious for their hidden assumptions and adjustable parameters.
The analysis does not depend on the vocabulary in which the evidence and generalizations are framed.
Though the analysis does not depend on language, it does depend on assumptions about what the possible observation sequences are.
pAs an anonymous reviewer correctly pointed out, the essence of my analysis does not depend on any particular form of LF or even whether there is LF, to begin with.
These cumulative probabilities are also reported in Table 2. Principal component analysis does not depend on the response variable, so the same six principal components would then be used as the predictors in the principal components regression for each of the three responses.
The points I'll be discussing relate to how the system treats everyone accused of committing a crime, and the analysis doesn't depend on whether any particular person is innocent or guilty.
The results of the identifiability analysis do not depend on the particular realization of random numbers.
The first part of their analysis did not depend on the participants being twins.
It is shown that prediction underestimates the enhancement due to FRCM strengthening because the tensile properties used in the analysis do not depend on fiber rupture but are based on the performance of the FRCM tensile coupon after the crack saturation zone.
Despite these limitations, the broad findings of this analysis did not depend strongly on specific values of any parameter.
