Answer
Cross-sectional study -- A cross-sectional study is a type of observational study that gathers any data in a very short and specific time period.
Case-control study -- A type of observational study that gathers data from the past or already existing information, where one group of individuals have disease of interest and another one is similar but without disease, is said to be a case-control study.
Cross-sectional study and case-control study -- A cross-sectional study has various issues to deal with. For example, to have precise results, the data for a cross-sectional study needs to be large enough. Also, the interpretation of the relationship between two variables from a cross-sectional study sometimes becomes difficult. A case-control study is also known as a retrospective study. So, the quality of the data completely depends on the memory of an individual. It can be carried out by small teams or individual researchers in single facilities in a way that cross-sectional studies cannot be. So, relatively, case-control studies are superior to cross-sectional studies.
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Explained above.