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The phrase "statistical methods were applied" is correct and usable in written English.
You can use it when discussing the use of statistical techniques in research or analysis. Example: "In the study, various statistical methods were applied to analyze the data collected from the participants."
Exact(33)
If America's statistical methods were applied to the whole of the euro area, then its annual growth rate in output and productivity over the past couple of years might be half a percentage point higher.
As of the small sample size non-parametric statistical methods were applied.
Statistical methods were applied to derive the relationship between air velocity and the other parameters as mentioned earlier.
Three statistical methods were applied.
Non-parametric statistical methods were applied.
Different statistical methods were applied as appropriate.
Similar(27)
But the estimates are controversial and change when new statistical methods are applied.
Statistical methods are applied in a variety of fields in hydrological research.
The statistical methods are applied to simulated data from a clinical trial that compares control therapy and experimental therapy groups.
Three statistical methods are applied to evaluate the CEB-FIP 90 model: the residual method, the B3 coefficient of variation method, and the CEB coefficient of variation method.
Statistical methods are applied for determination of the safe operating area (SOA) of HBTs across temperature and current density in terms of the FIT rate.
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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