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The phrase "determined by reference to" is correct and can be used in written English.
It means that something is decided based on or compared to something else. Example: "The value of the property was determined by reference to similar homes in the same neighborhood."
Exact(57)
The amount of liability may also be determined by reference to a statute.
He argued that changes in MPs' pay (which he judged to be 10% too low) should be determined by reference to annual movements in average public sector earnings.
Fairness is determined by reference to whether arms' length bargaining occurred, something that appeared to happen here.
Government policy in Britain clearly cannot be determined by reference to how it might impact on other countries, rather than by a proper examination of needs at home.
But the debt commitment letter also has so-called sponsors' language – a requirement that what is customary in this context be determined by reference to the customary financing terms for the buyers and Clear Channel.
Medical and nursing staffing was determined by reference to ED staffing records.
The weights are appropriately determined by reference to the recognition results for each indicator.
EBG and XN activities were determined by reference to each standard curve followed as protocol.
The magnitude of the phenotype change by mutation in this table was determined by reference to the flight simulation experiment (Yamanoi 2010).
Similar(2)
Because the dependence of the PL intensity on the excitation density can be easily measured for a given UC PL peak, the UC QY for a given peak at any excitation density can be determined by referencing to a quantified UCQY at one particular excitation density.
After species identification was confirmed, MICs were determined by reference broth microdilution method according to Clinical and Laboratory Standards Institute guidelines (11 ).
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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