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The phrase "a valid relationship between" is correct and usable in written English.
You can use it when discussing the connection or correlation between two or more entities, concepts, or variables in various contexts, such as academic writing or analytical discussions.
Example: "The study aims to establish a valid relationship between exercise frequency and mental health outcomes."
Alternatives: "a legitimate connection between" or "a credible association between".
Exact(3)
However, the analyses of KM plotter displayed a valid relationship between C1orf63 and RFS (relapse free survival)/OS (P < 0.001; P = 0.007).
The turnover model herein provided a valid relationship between Ep concentration and plasma glucose and lactate levels, as these metabolic responses are dependent on stimulation of glycogenolysis via the activation of β2-adrenergic receptors [ 32].
The present study failed to confirm a valid relationship between the expert's ratings of pain and the Doloplus-2 scores in a sample of 73 cognitively impaired patients, even though the inter-rater reliability of the Doloplus-2 seemed to be satisfactory.
Similar(57)
We have been given a formula for a "valid" relationship: it must combine sexual and platonic love.
Despite these, the magnitude of the observed associations is strongly suggestive of a valid relationship.
It is also important to determine the valid relationship between the cause of the problem and the recording measurement.
That being the case, there is no method to establish any kind of valid relationship between two particulars which could allow us to draw any sound inferences from single-instantiated cases.
The ability to integrate information by finding valid relationships between concepts allows students who construct either mind maps or concept maps to reach a metacognitive level[ 15].
The idea that classifier learning could have significant potential for identifying network structure has been hinted at previously; in fact, one of the algorithms that the previous BN-TL classifier compared itself to explicitly notes the potential for identifying valid relationships between features (in their case, specifically for mass spectrometry data) [ 18].
To be valid, the relationship between UNICEF and a Procurement Services partner must be governed by a Memorandum of Understanding (MOU).
Relatively low number of the non-invariant factor loadings, 2 which are necessary to compare across groups in a valid way the relationships between factor scores/scale scores and other observable variables, explains why the differences in the correlation coefficient (see Table 3, right panel) are so small.
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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