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The phrase "a core criterion" is correct and usable in written English.
It can be used when discussing an essential standard or principle that is fundamental to a particular context or evaluation.
Example: "In assessing the effectiveness of the program, a core criterion is the improvement in participant outcomes."
Alternatives: "a fundamental standard" or "a key benchmark".
Exact(8)
Objective cognitive impairment determined by neuropsychological test performance is a core criterion for the diagnosis of mild cognitive impairment (MCI), yet no consensus has been reached on how this criterion should be operationalized.
The report also concluded that there was a strong case for including need as a core criterion for allocating capital grant for housing investment.
A review study on SCD suggested that the proposed age of onset in studies of preclinical AD is 60 years or older despite the age at SCD onset was not defined as a core criterion [42].
Impairment in psychosocial functioning is a core criterion for the diagnosis of personality disorders.
Therefore, in our work, we have been systematic, a core criterion of validity in action learning [ 17], as in other research [ 20].
A core criterion for newborn screening is an accurate understanding of the public health burden of a disease, considering both disease severity and prevalence rate.
Similar(52)
However, a core criteria for extracting factors, i.e., at least 3 items with significant loadings (> 0.30), is not fulfilled for 2 of the 3 factors.
The IDS is a 30-item self-report scale that was developed to carefully assess all core criterion diagnostic depressive symptoms.
ML Integrity is the core criterion that a machine learning (or deep learning, reinforcement learning etc). algorithm must demonstrate in practice and production to drive trust.
Most of these items are not core criterion symptoms of a major depressive episode.
Thus, investigators or clinicians can select either scale as an acceptable, sensitive outcome measure depending on time constraints and their wish to assess only core criterion symptoms or a wider range of symptoms.
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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