MF - EMF - WTFMF
They measured magnetic field exposure with a 'Emdex lite' device. The data sheet gives a frequency range though, so they are really talking about electromagnetic fields.
I browsed the paper and, boy, do they have a lot off caveats on how they split up the exposure groups, and how they ascertained that the single measurement day was 'typical'. I am almost willing to bet that the effect will vanish in the upcoming Big study where someone will look at a large population (for better statistical significance). There is also always the possibility that certain lifestyles lead to higher exposure and higher stress -- and therefore crate correlation without causation.
I have worked in labs next to Serious magnets. We considered that running the NMR was one of the safest things a pregnant synthetic chemist could do. Let's see if that changes. I guess we all know that EM radiation can cause skin cancer if you forget to put on the sunscreen. Let's see where this one goes, it's a big Nature paper, so it'll be properly scrutinized.