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"by level of" is correct and usable in written English.
You can use it to indicate a type of comparison or measurement. For example, "The research participants were divided into three groups by level of education."
Exact(59)
Regrets also varied by level of education.
P16 Springwatch viewers shocked by level of violence and sex.
The app categorizes useful information by level of user experience.
3c: Knowledge of Evolutionary Terms by Level of Education.
In situ degradation was not modified by level of intake.
Duration of active stages can be affected by level of the UV irradiance.
By level of skill, labor compensations tend to concentrate in compensations to medium-skilled labor.
Figure 8 illustrates the percentage of trained teachers by level of education.
These results were likely caused by level of nutrients' absorption by the plants through the roots.
Most of them stated that they were shocked by level of women's body exposure.
Figure 8. Percentage of Teachers by Level of Education (c. 2007) Note.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com