The phrase "analysis of the causality" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or study of cause-and-effect relationships in a particular situation or data set.
Example: "The analysis of the causality between economic factors and consumer behavior revealed significant insights."
Alternatives: "examination of causation" or "study of cause-and-effect".
In this first paper, we present an analysis on the causality properties of the HBG where useful properties and insights associated with FDI applications are gained.
Similarly, the celebrated analysis of the idea of causality put forward by David Hume was not undertaken out of idle curiosity but with a wider purpose in mind: to undermine both the Aristotelian and the Cartesian views of the world and to substitute for them an atomism of immediate appearances in which all objects were "loose and separate"—that is, logically independent one of another.
Hans Reichenbach, in his analysis of the interaction of causality and probability (Reichenbach 1956), observed that the immediate causes of an event probabilistically screen off from that event any other event that is not causally posterior to it.
Analysis of the long-run Granger causality reveals unidirectional causality from mobile money to private sector credit; from loan interest rates to private sector credit, and from private sector credit to exchange rates.
John Wright notes that "Indeed, he claims that the whole thrust of his analysis of causality in the Treatise supports the Design argument", and that, according to Hume, "we are obliged 'to infer an infinitely perfect Architect.'" However, later he was more critical of the argument in his An Enquiry Concerning Human Understanding.
The analysis of Granger causality between hemispheres has also shown a greater flow of information from the right to the left hemisphere which may point to an important role of the right hemisphere in the resting state.
Another limitation of our analysis concerned the direction of the causality between shingles and PTSD.
Nonetheless, the exome data, together with previous reports in the dog model and in silico analysis of the mutation, clearly show causality of this variant in autosomal recessive NCL.
While such analysis of causality was beyond the scope of the present study, a first step may be to put our results in perspective of previous findings.
Transcriptomics, proteomics and metabolomics analysis of the re-engineered strains affirmed the causality of the three mutations at molecular level.
