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The phrase "a preference for an increase" is correct and usable in written English.
It can be used when discussing someone's inclination or desire for something to be raised or improved, such as in financial contexts or performance metrics.
Example: "The survey revealed a preference for an increase in employee benefits among the staff."
Alternatives: "an inclination towards an increase" or "a desire for a rise".
Exact(1)
Lew did express a preference for an increase covering an unspecified extended time period, saying, "A longer period of certainty would help protect our economy from future political brinkmanship".
Similar(59)
Even though there was no dissent on the February increase, the minutes said that before the vote, a few unidentified members expressed a preference for a half-point increase "in order to provide greater assurance against a buildup of inflationary expectations and inflation over coming months".
At the committee's February meeting, a few members had "expressed a preference" for a half-point increase but settled for the quarter-point favored by the majority, who saw "little risk in a gradual approach to policy tightening and considerable advantage to preserving the possibility of calibrating those actions to the emerging situation," the minutes of the Feb. 1-2 meeting said.
Christina Romer, former chairperson of President Obama's Council of Economic Advisors, also expressed a preference for an enhanced EITC over the minimum wage increase in an op-ed piece in The New York Times in April.
But, since the female population among medical students is growing, the number of women with a preference for a medical specialty is also increasing [ 30].
Later some scientists expressed a preference for a coordinate system with longitude that increases to the east of the prime meridian.
Our results do not exclude these possible reproductive benefits but suggest that females may also gain a direct survival (non-reproductive) benefit from a preference for a sexual signal; as predation risk increased so too did the strength of the preference that helps females avoid predators.
A minimal increase in threshold reflects a preference for a sensitive screening strategy.
The Treasury secretary expressed a preference for bigger increase, which he did not quantify, to cover a longer time.
A clear preference for an increase in "progression-free survival" (coef.: 1.087) and a reduction of "tumor-associated symptoms"(cough, shortness of breath and pain); coef.: 1.090) was demonstrated, followed by the reduction of side effects: "nausea and vomiting" (coef.: 0.605); "rash" (coef.: 0.432); "diarrhea" (coef.: 0.427); and, "tiredness and fatigue" (coef.: 0.423).
Our DCE analysis shows that sex does not play a particular role in health worker preferences for CBI payment attributes, except in the preference for an increase in the capitation payment for children.
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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