I read the article wrong apparently, the recent estimate actually shows The Milky Way having less mass - 1 trillion solar masses, versus 2 trillion in the previous estimate.
Still, according to the current numbers The Milky Way has more mass than Andromeda, which has approximately 700 billion solar masses per the most recent measurement.
Whether these numbers are correct is anyone's guess though, as measuring our own galaxy is difficult to accomplish successfully without the "bird's eye" view we get for Andromeda and all others.
Milky Way vs.
Andromeda.
Andromeda is still the largest galaxy in the Local Group according to diameter - it's 220,000 light-years across, versus about half that for the Milky Way.
Here's a link to the study itself:
http://www.sdss.org/news/releases/20080527.mwmass.html