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The phrase "substantial level of confidence" is correct and usable in written English.
It can be used when discussing the degree of certainty or assurance one has regarding a particular outcome or situation. Example: "After analyzing the data, we have a substantial level of confidence in our findings."
Exact(1)
However, the use of 11 segregating populations, all providing similar estimations of HF frequency, provides a substantial level of confidence in the results, as the accumulative probability of getting a right estimation will be equal to the probability in one big population with the population size equal to the sum of sizes for individual populations.
Similar(59)
Because of the relatively small study size, the confidence intervals around our relative odds ratios are quite wide, indicating a substantial level of uncertainty.
Finally, coalescent models implemented in MIGRATE-N [ 31] demonstrate substantial levels of ongoing migration between all four populations with high estimates in all directions and overlapping confidence intervals for estimates of theta.
"Most modern biology requires substantial levels of funding," says Venter.
This score indicates substantial levels of agreement [ 23].
*Statistically significant at 95% level of confidence.
"The NNSA can vouch for the safety and reliability of currently deployed or refurbished warheads," she said, "but the same level of confidence may not be possible if the agency makes substantial modifications".
Perhaps any level of confidence".
"People's level of confidence is strained.
Inaba: "My level of confidence is 100%.
"She had a new level of confidence.
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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