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The phrase "a less restrictive threshold" is correct and usable in written English.
It can be used when discussing criteria or limits that are not as stringent or demanding as others.
Example: "The new policy introduces a less restrictive threshold for eligibility, allowing more applicants to qualify."
Alternatives: "a more lenient standard" or "a more flexible criterion".
Exact(3)
With a less restrictive threshold of raw p-value < 0.05, CA1 and VIP showed overlap in some of these categories, though to a much lower degree (Supplementary Fig 4a and b).
In order to avoid this problem, a less restrictive threshold, i.e., μglobal, is used instead.
In a typical analysis of high-throughput gene expression data, the choice of false discovery rate (FDR) threshold is not objective, i.e., it represents an arbitrary balance between missing relevant genes due to a highly restrictive threshold, and a less restrictive threshold resulting in an increasing number of differentially-expressed genes with more false positives.
Similar(57)
If looking for possible gene targets of transcription factors, it is advisable to use less restrictive threshold, resulting in more false positives but fewer false negatives.
Because CAFE uses mRNA expression as a surrogate for DNA copy number and because the levels of mRNA expression are variable and do not strictly reflect DNA copy number, a less restrictive default threshold is recommended as a starting point for analysis: ±log2(1.5) ratio.
The LO-mTLE group showed more varied levels of BC at the different statistical thresholds for the non-ictal hippocampus, with low values at the more restrictive threshold (5, 10 %) and higher values for the less restrictive thresholds (30, 35%%).
When further evidences were needed to corroborate dubious synteny connections between genes, sequence clustering was performed at a less restrictive e-value threshold (E-15).
The ML method for discerning expressed probes those with hybridization signal above background noise was a less restrictive filter than the uniform threshold applied by Xia et al. (2007).
Also, in the diffusion limit the time step restriction relaxes to a less restrictive explicit diffusion CFL condition.
Given that younger males will have a higher percentage of muscle mass than a 40- to 49-year-old male, their BMI obesity threshold could be raised to a less restrictive 33 kg m−2 (as per our relevant calculations in Table 1) to equate to the same level of adiposity as their older 40- to 49-year-old counterparts.
This was seen as a less safe but also a less restrictive option.
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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