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The phrase "significantly higher likelihood" is a valid phrase in written English.
It is used to express that something is much more likely than it ordinarily would be. For example: "After the introduction of new safety regulations, the factory had a significantly higher likelihood of avoiding accidents."
Exact(60)
The couple decided to have the four embryos thawed and tested to see whether any were chromosomally normal and would thus have a significantly higher likelihood of surviving.
A recent five-year study, using data from the Tucson Children's Assessment of Sleep Apnea Study, revealed that children with sleep apnea had a significantly higher likelihood of hyperactivity, disruptive behaviors and learning difficulties.
It is now well known that divorce and family breakdown cause a significantly higher likelihood that affected children will grow up with lower standards of educational attainment, and a greater risk of mental-health problems and youthful deliquency.
Amitriptyline, nortriptyline, and gabapentin had significantly higher likelihood of discontinuation when compared to topiramate.
Some longevity of earnings gains is indicated by the significantly higher likelihood of promotion among the treatment group (in all risk groups) than among controls.
Whether using a reliability measure that incorporates the concept of "partial credit" for "near misses" or a measure reflecting exact rater agreement, no one scale emerged as having a significantly higher likelihood of agreement among raters.
The results stemming from the pre-sanction period show that only clients of Non-Big 4 sanctioned auditors exhibit significantly higher likelihood of avoiding reporting negative bottom-line earnings.
Unexpectedly, high-income seniors reported a significantly lower likelihood of HHC receipt (OR = 0.64, p = 0.007), and low-income seniors reported a significantly higher likelihood of HHC receipt (OR = 1.39, p = 0.080).
CEACs over 6 months' treatment showed a significantly higher likelihood that celecoxib plus PPI and celecoxib alone would be more cost effective versus comparators once the willingness to pay is over US$2,000.000.
Our analysis found a significantly higher likelihood that celecoxib plus PPI and celecoxib alone would be more cost effective versus comparators once the willingness to pay is over US$2,000.000 (data not shown).
Data displayed in Table 5, Panel A, show that only clients of Non-Big 4 sanctioned auditors (Sanc_Aud) exhibit significantly higher likelihood of avoiding reporting negative bottom-line earnings ((p < 0.01)).
More suggestions(12)
significantly higher potential
significantly higher opportunity
distinctly higher likelihood
markedly higher likelihood
significantly higher probability
significantly higher probabilities
substantially higher likelihood
considerably higher likelihood
significantly greater likelihood
much higher likelihood
significantly higher chances
significantly higher probable
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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