There is a large body of research and data on family engagement strategies and practices that goes back decades.  The research and data point toward an emerging set of best practices that are directly linked to improving student attendance, achievement, behavior, retention, and high school graduation.

The following covers some great starting points to learn more about the family engagement field.

Two books that helped to define the family engagement field and highlight the importance of school-family partnerships are:

Henderson, Anne T., Mapp, Karen L., Johnson, Vivian R., Davies, Don.
Beyond the Bake Sale; The Essential Guide to Family School Partnerships.  New York: The New Press, 2007. Print.
(http://thenewpress.com/books/beyond-bake-sale)

Bryk, Anthony S., Bender Sebring, Penny, Allensworth, Elaine, Luppescu, Stuart, Easton, John Q.
Organizing Schools for Improvement: Lessons from Chicago. Chicago: University of Chicago Press, 2010. Print.
(http://ccsr.uchicago.edu/publications/organizing-schools-improvement-lessons-chicago)

The Harvard Family Research Project has a host of comprehensive resources that cover the entire family engagement field.

The Flamboyan Foundation has produced the following summaries about family engagement that offer a roadmap to the key research:

Setting the Stage: the Family Engagement Field
http://flamboyanfoundation.org/wp/wp-content/uploads/2011/06/Setting-the-stage-4-28-11.pdf

Successful Family Engagement in the Classroom
http://flamboyanfoundation.org/wp/wp-content/uploads/2011/06/FINE-Flamboyan_Article-March-2011.pdf

Family Engagement Matters
http://flamboyanfoundation.org/wp/wp-content/uploads/2011/06/Outcomes-research-11-12-10.pdf

What Kinds of Family Engagement Are Most Effective?
http://flamboyanfoundation.org/wp/wp-content/uploads/2011/06/What-kinds-of-family-engagement-matter-1-28-2011.pdf

The Parent-Teacher Home Visit Project has catalogued the most relevant research on the impact of teacher home visits and can be contacted directly for a complete list.  These studies include:

Henke, L. “Connecting with Parents at Home.” Educational Leadership 68. 8 (2011): 38-41. Print.
http://www.ascd.org/publications/educational-leadership/may11/vol68/num08/Connecting-with-Parents-at-Home.aspx

Patt, M. “Home Visits Hone Relationships.” District Administration 48. 1 (2012): 18. Print.
http://www.districtadministration.com/article/home-visits-hone-relationships

Stetson, R.,  and E. Stetson, and B. Sinclair, and K. Nix. “Home Visits: Teacher Reflections about Relationships, Student Behavior, and Achievement.” Issues In Teacher Education 21. 1 (2012): 21-37. Print.
http://eric.ed.gov/?id=EJ986814