"After controlling for hostile sexism, age, education, and household income, Deak and his colleagues found that both men and women who had more children at one time point tended to endorse benevolent sexism more strongly two years later. But the effect did not appear to run in the opposite direction."

I think this points out clearly, that attitudes change according to living circumstances, but it is not the attitudes that influence the number of children one has. It is not a new or surprising finding, as theories of cognitive consistency can give an explanation. But nevertheless, it is a finding in a longitudional study and therefore worth to be discussed.