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higher prevalence for excess vs higher prevalence by excess

higher prevalence for excess vs higher prevalence by excess which is much better to use in a sentence. Which is more popular in English form?

Looking on the internet deeply has found these results:

higher prevalence for excess is the most popular phrase on the web.

higher prevalence by excess

10 results on the web

higher prevalence for excess

11 results on the web

More popular!

Some examples and use cases from the internet:

Some examples and use cases from the internet:

  • It doesn't look like this phrase is very popular! The search could not find any examples on the internet.
  • Women who were married (95%CI=46.54; 61.33) or separated/widowed (95%CI =46.63; 73.37) had higher prevalence for excess weight than single women ...

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