The phrase "any type of correlation" is correct and usable in written English.
You can use it when discussing different kinds of relationships or associations between variables in various contexts, such as statistics or research.
Example: "The study aimed to identify any type of correlation between exercise frequency and mental health outcomes."
Alternatives: "any kind of correlation" or "any form of correlation".
In this case, the optimal allocation of education expenditures should be incompatible with any type of correlation in educational attainment between parents and children.
None of the other C. elegans fatty acids showed any type of correlation between TAG levels and fatty acid composition.
This is actually done to not exclude any type of correlation.
The meta-analysis of antisense tRNAs shows that for any type of correlation coefficient, results in Table 3 indicate a statistically significant negative correlation between COVE and misacylation.
Reciprocity ρ is a type of correlation expressing the tendency of vertex pairs to form mutual connections.
The supercell program targets a broader range of systems, which potentially includes but is not limited to the randomly-disordered systems targeted by the SQS approach, and any type of target correlation function could be considered to favor or penalize instead some chosen interactions (e.g., A-A first-neighbor interactions in the simple two-atom example discussed above).
We then maximized the evidence that the model residuals did not display any type of structure, including serial correlation using Bartlett's test (18).
This was not specific to any type of treatment as no correlation between the type of treatment (D-penicillamine/trientine/zinc) and the amount of sweat produced by Wilson patients could be found.
We then selected a model with time period that either minimized the Akaike Information Criterion (AIC; Akaike 1973), or maximized the evidence that the model residuals did not display any type of structure, including serial correlation, using Bartlett's test.
We then selected a model with the number of knots that either minimized the Akaike information criterion (AIC) (Akaike 1973), a measure of model prediction, or maximized the evidence that the model residuals did not display any type of structure, including serial correlation, using Bartlett's test (Priestly 1981).
The presence or absence of correlation, and inverse or direct type of correlation, if any, were dependent on targeted viral gene product.
