Cite the data in the text as (Copyrights Holder, Year) or Copyrights Holder (Year).
If the authors are also the copyrights holders, use: (Hinton et al., 2015) or Hinton et al. (2015).
If the copyrights holder is an organization, use its full name in the first citation: (Innovation, Science and Economic Development Canada, 2017) or Innovation, Science and Economic Development Canada (2017) and its abbreviation in the subsequent ones: (ISED, 2017) or ISED (2017).
In the reference list, mention the DOI of the data set as follows:
Copyrights Holder. (Year). Title [format]. doi:DOI
The format can be: Data Set, Data File, User Manual, Code Book, etc.
Example with more than seven authors:
Hinton, T. J., Jallerat, Q., Palchesko, R. N., Park, J. H., Grodzicki, M. S., Shue, H., . . . Feinberg, A. W. (2015). Three-dimensional printing of complex biological structures by freeform reversible embedding of suspended hydrogels [Data set]. doi:10.5061/dryad.tp4cp
If the data set does not have a DOI, include the URL at the end of the reference: Retrieved from http://...
More information @ APA Style Blog.
Here is a list of some recognized repositories in their respective fields:
Life Sciences and Biomedical Sciences - Big data
Physics, astrophysics, and astronomy