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The phrase "a weak test of" is correct and usable in written English.
It can be used when discussing the effectiveness or reliability of a test or assessment in various contexts, such as scientific research or evaluation processes.
Example: "The results of the experiment were inconclusive, indicating that it was merely a weak test of the hypothesis."
Alternatives: "an inadequate measure of" or "a poor assessment of".
Exact(4)
This is a weak test of trade diversion.In 1996 the WTO set up a committee to examine regional trade agreements.
This underlines that evaluation based on the rank/ z-score of the native is a weak test of scoring function performance.
Rather than simply relying on a weak test of significance, our closer inspection of the data indicated that the majority of the low-dose subjects were responders.
Overall, our results underline that evaluation of scoring functions based on the identification or the rank of the native is a weak test of scoring function performance and may have little bearing regarding a scoring function's performance at selecting low-RMSD decoys.
Similar(56)
The same rater rated the K-SADS-PL and the SSI, which is a weaker test of concurrent validity than correlating measures rated by separate raters.
The research on community exposures to RFs and cancer gives a very weak test of the possibility of a relation.
The underlying hypothesis is that a weak test dose may have a low probability of revealing a potential carcinogen, whereas a strong dose may have a high probability of producing false-positive results.
As such, the test of growth responses under saplings of the matching mycorrhizal types may provide a weaker test than that under saplings of the mismatching mycorrhizal type.
While such data are more accurate and precise than that available in other societies and periods, it has much less variation in the underlying conditions and thus provides in some ways a much weaker test of economic theories," explained E. Glen Weyl, assistant professor of economics.
Again, we observed no effect of blocking one pathway on the kinetics of the other, but this is a weaker test, since it includes only a subset of cells that might not be typical.
McGill, B. Strong and weak tests of macroecological theory.
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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