"establish cause and effect" is correct and usable in written English.
You could use this phrase to express something that has been done to investigate the reasons for something, and the consequences of whatever happened. Example: Scientists conducted a study to establish cause and effect between smoking and lung cancer.
Because the study looked at correlations, it could not establish cause and effect.
Though it is impossible to establish cause and effect, Mr. Sorokin went on to unleash a frontal assault on the government.
The authors caution that unknown variables could have influenced their findings, and that their observational study does not establish cause and effect.
While it is impossible to establish cause and effect between these various links, and indeed impossible to draw any firm conclusions, there appear to be some parallels between heavy internet use and autistic-like behaviours that deserve further exploration.
She says the work is done there precisely because it is possible to control the variables such as the doses of the chemicals the animals are exposed to, and thereby establish cause and effect.
Studies that address these issues, as well as those designed to establish cause and effect, are needed before one can reach meaningful conclusions about the role of iron in atherosclerosis and the therapeutic implications for patients.
In the laboratory, one can have much better control when attempting to establish cause-and-effect relationships.
Simulations also allow us to establish cause-and-effect relationships giving insights into muscle function.
The study cannot establish cause-and-effect -- nor did it aim to -- but William Copeland, an associate professor with the Duke University School of Medicine and an author on the study, told The Huffington Post the finding suggests there is a "complex interplay going on". "Selective eating is a marker that parents and physicians need to gather more information on," Copeland argued.
In addition, cross-sectional data are not always able to establish cause-and-effect.
Experiments can then be devised to establish cause-and-effect [ 97].
