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"heterogeneous across" is a correct and usable phrase in written English.
You can use it to describe a situation in which different elements are mixed together in a random or diverse way, or where multiple groups or ideas intersect. For example, "The classroom was heterogeneous across age groups, backgrounds, and opinions."
Exact(60)
Were they significantly heterogeneous across countries?
So they are heterogeneous across landscapes.
The effect is heterogeneous across patient groups.
The disadvantage is heterogeneous across immigrant groups and models.
Switching time retardation is similarly heterogeneous across the sample.
The outcome measurements were heterogeneous across all six studies.
Treatment approaches and study methodologies were heterogeneous across studies.
The distribution of Ceratocystidaceae fungi was highly heterogeneous across landscapes.
One could also expect prosocial motivation in the public sector to be heterogeneous across occupations.
Now we investigate whether the estimated effects of parents' years since migration are heterogeneous across gender.
Note, however, that the welfare impacts of unskilled wage growth are heterogeneous across this group.
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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