The phrase "agreement with previous studies" means that the results or findings of a new study are similar or consistent with what has been found in previous research on the same topic. Full definition
I doubt the difference in this study is actually statistically significant, but then again, it is still in better agreement with previous studies that have shown the 3x increase in homebirth death. (skepticalob.com)
The investigators found that although α - synuclein levels decreased significantly over the course of the study, in agreement with previous studies lacking the longitudinal component, its values did not predict the worsening of motor symptoms (as measured by UPDRS) over Phase I or Phase II. (sciencedaily.com)
This is also in agreement with previous studies showing that leptin production is higher in subcutaneous adipocytes compared with omental adipocytes (25, 26). (academic.oup.com)