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The phrase "a three stage analysis" is correct and usable in written English.
You can use it when referring to an analytical process that is divided into three distinct stages or steps.
Example: "In this report, we will conduct a three stage analysis to evaluate the effectiveness of the new marketing strategy."
Alternatives: "a three-step analysis" or "a tri-stage analysis".
Exact(1)
A three stage analysis applying Structural Equation Modelling (SEM); multiple regression; and multinomial logistic regression is used.
Similar(59)
We replicate and extend the analyses of Dabney and Storey and present our results in the context of a two stage analysis.
All this can be overcome by doing a two stage analysis, which is set out in figure 6 (based on diastolic blood pressure) and figure 7 (based on systolic blood pressure).
Due to the low response rate the data was unsuitable for a planned two stage analysis [ 28].
This type of two stage analysis is used often in the social sciences and is becoming common in observational studies in medicine.
To explore the relationship of country and parenting styles, a three stage hierarchical multiple regression analysis was conducted (Table 4).
A three stage process was used in analysis [ 30, 31].
The model was tested using the Structural Equation Modeling (SEM) technique using a two stage data analysis procedure.
In such cases we applied a two stage meta-analysis.
We used a two stage meta-analysis 20 with study specific estimates obtained from published studies with aggregate data and studies with unpublished individual participant data at the first stage.
The method consists of two stages: analysis and synthesis.
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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