APA (American Psychological Association) style is most commonly used in the social sciences.
The style uses in-text citations in the author-date style. For example, (Jones 1998).
Bibliography example of a citation from a journal article:
Harlow, H. F. (1983). Fundamentals for preparing psychology journal articles. Journal of Comparative and Physiological Psychology, 55, 893-896.
APA recently updated to the 7th edition. There were some minor key changes including:
The PurdueOWL has an overview of changes most relevant to students.