Singer has published across a broad array of disciplines, including statistics, education, psychology, medicine, and public health.

In addition to writing and co-writing nearly 100 papers and book chapters, she has also co-written three books: By Design: Planning Better Research in Higher Education,[9] Who Will Teach: Policies that Matter[10] (both published by Harvard University Press), and Applied Longitudinal Data Analysis: Modeling Change and Event Occurrence[11] (published by Oxford University Press), the latter of which received an honorable mention from the American Publishers Association for the best mathematics and statistics book of 2003.

[12] Singer was the first woman to be elected both a member of the National Academy of Education[13] and a Fellow of the American Statistical Association.

[14] She was also elected to the initial class of Fellows of the American Educational Research Association.

[15] In 2014 she received the 13th annual Janet L. Norwood Award for Outstanding Achievement by a Woman in the Statistical Sciences from the School of Public Health at the University of Alabama.