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The phrase "analysis is dependent on" is correct and usable in written English.
You can use it when discussing the factors or conditions that influence the outcome or validity of an analysis.
Example: "The accuracy of the results indicates that the analysis is dependent on the quality of the data collected."
Alternatives: "analysis relies on" or "analysis is contingent upon".
Exact(26)
The Debtor argues that a DCF analysis is dependent on a company's ability to meet long-range projections, in this case the Debtor's FY 2008 projections.
The outcome of the analysis is dependent on properties of the specific computer code, which most designers accept as a "black box".
The accuracy of this analysis is dependent on two factors; the first, is distribution of vuggy porosity in different wells, and the second factor is the proportion of vuggy data to non-vuggy zones in each well.
The quality of any analysis is dependent on the assumptions underlying the investigation.
Such analysis is dependent on measuring and understanding discrimination factor variation.
The cross-sectional analysis is dependent on the number of seroconverters who are within the recency period (in this instance, 152 days) at the time of specimen collection.
Similar(34)
However, the results of the anxiety + depression vs. cannabis use analysis were dependent on one study [ 36].
The overall silver migration determined by classical inductively coupled plasma mass spectrometry (ICP-MS) analysis was dependent on the silver content of the films, the food simulant used and the contact time and temperature applied.
Modelling also revealed that damage detection using vibration mode shape curvature analysis was dependent on defect location with the technique less likely to find damage in regions of high damping such as the web.
Results generated from this analysis are dependent on the algorithm that assigns each hectare of forest land to a category that is then associated with a C stock change value.
Overall it is very important to mention that results of this type of analysis are dependent on both scanning and analysis parameters.
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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