Her conclusions are common-sensical, but I'd certainly be interested to see more data on this. What she found is that while parents actions are important in forming their children's moral thinking, spoken witness essential to passing on beliefs. The design of the study was pretty interesting:
"We asked students to tell us what they believed and what they thought their parents believed," says Lynn Okagaki, an associate professor of child development and family studies. "We then asked the parents what their beliefs were and how strongly they felt they had tried to nurture their child in terms of religious beliefs and values. What we found was that the perception does not always match the reality."
Okagaki's study showed that the accuracy of a student's perception was affected by how much his or her parents talked about their beliefs and whether the mother and father shared the same beliefs.
"Many of the students we talked to told us that their parents shaped their environments by making church activities a regular part of their lives, and took on service projects as a family", Okagaki says. "But while 'walking the walk' was certainly important, it was regular, specific conversations about religious beliefs that gave students a more accurate perception of what their parents actually believe. In other words, it's not enough for parents to just model beliefs for their kids."
This seems to be what has driven so many parents in the post Vatican II church to put more time into overt religious education at home. In my grandparents generation, it seems to have been assumed that if you sent your kids to Catholic schools and took them to mass on Sundays that they'd pick up whatever they needed to know. Goodness knows with most parish schools and CCD programs these days you're in no way guaranteed to pick up the fundamentals of the faith by default.
After seeing the drop-out rate in the first couple generations after Vatican II, it seems that those still standing have learned that if you want your children to be active, faithfull Catholics you need to educate them rigorously. (Some of my more liberal/cynical friends tend to put it differently: "You think that if you shelter and indoctrinate your children that they'll all grow up just like you.") There are still, certainly, no guarantees in life or parenthood. Free will has a way of asserting itself. But one thing is clear: if you assume that your children will simply "pick up" your faith without putting in the work to teach it to them clearly, you're far less likely to be successful in passing on your beliefs than if you take the time to educate your children thoroughly in what you believe and why.