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The phrase "a significantly higher likelihood" is correct and usable in written English.
It can be used when discussing probabilities or chances of an event occurring, especially in statistical or analytical contexts.
Example: "The study found that participants who exercised regularly had a significantly higher likelihood of maintaining a healthy weight."
Alternatives: "a much greater chance" or "a notably increased probability."
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.
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.
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).
In comparison to controls, chronic migraine subjects had a significantly higher likelihood of activation in the ipsilateral sensorimotor area, the supplementary motor area, the pre-motor area, the occipital region, and the deep brain area.
Research indicates that women have a significantly higher likelihood of anterior cruciate ligament injuries in the pre-ovulatory stage, than post-ovulatory stage.
Using the likelihood ratio test, we tested whether the unrooted topology ((AO2,AN)(AO1,AFU)) has a significantly higher likelihood than both of the two possible alternative topologies for the four sequences.
Conversely, a significantly higher likelihood of models incorporating dN/dS>1 indicates that relaxed selective constraints alone cannot explain the high level of sequence diversity for some of the genes in the rlrA islet.
More suggestions(11)
a significantly higher chance
a far higher likelihood
a significantly higher potential
a significantly higher opportunity
a significantly higher possibility
a significantly greater likelihood
a distinctly higher likelihood
a significantly higher rate
a significantly higher dose
a significantly higher density
a significantly higher frequency
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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