http://www.bod.org.uk/file/ConnectionContinuityCommunity.pdf is the results of research that has been done.
"if men's halachic role underpines their relationship with synagogue life, it is not surprising that without such underpinning women in many communities feel disenfranchised. Enlightened attitudes towards female participation can greatly enhance how connected women feel to their Judaism, and more importantly, the extent to which they can in turn inspire and enable their children to connect with their Jewish heritage"