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The phrase "a higher threshold" is correct and usable in written English.
It can be used when discussing a level of acceptance, limit, or requirement that is greater than a previous standard or expectation.
Example: "To qualify for the next level of funding, applicants must meet a higher threshold of performance metrics."
Alternatives: "an increased limit" or "a greater standard".
Exact(60)
New York tolerates a higher threshold level than states like New Jersey and California.
This month, he called for a higher threshold for felony theft.
So the male sample is more elite; it has a higher threshold.
The white Jefferson descendants might indeed stand pat and insist on a higher threshold of evidence.
Encroaching age and a higher threshold of fear allow me to admit total bewilderment at Mr. Babbitt's Second Piano Concerto.
They said that district attorneys, for example, might have a higher threshold for determining who is nonviolent.
In response, the Department of Homeland Security revised the index in September, creating a higher threshold for orange.
Opponents of same-sex marriage are pushing for a referendum, which requires a higher threshold to pass.
The higher losses of the SLM do manifest themselves as a higher threshold for lasing, as noted in Fig. 2d.
The judges claimed that a higher threshold was required in imposing a care order "to avoid social engineering".
In comparison with elastomer, this additive provides a higher threshold elasticity of cement.
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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