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The phrase "a test which determines" is correct and usable in written English.
You can use it when describing a test that has the purpose of establishing or identifying a particular outcome or characteristic.
Example: "The exam is a test which determines the students' understanding of the subject matter."
Alternatives: "a test that identifies" or "an assessment that establishes".
Exact(2)
Every year, on one selected day, all sixteen year olds must go through a test which determines who they really are.
Marginal homogeneity by McNemars test, a test which determines the equality between positive and negative test proportions of one test compared to the other, indicated that there is a balance between BBA-TOX and E-TOX3.
Similar(58)
A second test, called a motility test, which determines whether the suspect bacteria are moving -- anthrax does not -- returned positive on Sunday, Dr. Wain said.
The p-value is calculated using a hypergeometric test which determines if the number of times that a GO term appears in the cluster is significant, relative to its occurrence in the genome.
The significance of the classification accuracy for each ROI was determined by a permutation test which determines how likely it is to get an accuracy as high as the one observed (similar to the procedure described in [40]).
The KS test is a nonparametric test which determines if two distributions differ significantly.
The Second Circuit uses an "abstraction/filtration/comparison" test, which determines what part of the method of operation is protected, and tests if this was copied; the Fifth and Tenth Circuits have adopted this approach.
A tracking protocol was used to conduct a two-point limen test, which determines the "least two-point separation at which the subject feels (has the subjective impression of) two points," [ 20] at the dorsal surface of the right hand.
The cultural test which determines whether a film can qualify as a British production is set to be changed under new legislation.
The thiobarbituric acid test, which determines MDA as an end product of lipid peroxidation (Velikova et al. [2000]), was used.
Google Reader and FeedLounge won my subjective feed-load test, which determines how well the application pulls up a particular feed.
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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