Does anyone know of a study that examines the relationship between adherence to gender roles and the stability of a marriage?

I have a hunch, you see, that a more rigid adherence to traditional gender roles leads to a stronger marriage.

I got the idea from a reply that I found around here, about a Muslim man who proposed to a Muslim woman that he’d met just minutes earlier, and how they now have two kids. I’ve likewise heard that arranged marriages in India have a remarkably high success rate. As far as I know, both cultures have stronger-than-American adherences to gender roles.