There's more than calories and exercise to losing weight.
High calcium is important while losing weight for instace, people often cut out dairy when dieting, and a lot of people don't eat enough calcium anyway. (studies have shown)
Less accessible energy sources are a good idea too, hydrophilic colloids can create a matrix through which your nutrients get absorbed. (In terms of what you eat this means stew/chilli/curry with flour in it, also cut out simple sugars)
Ticking all your mineral and vitamin intake boxes is a really good idea (a daily multi vitamin is a great way to do this).
I personally found I could lose a lot of previously very stubborn weight by doing the above and then running for an hour in the morning. (n=1 study and so totally worthless)..
A lot of the overweight people in the study may have been overweight partly because of their bad diets in the first place, without changing that you don't expect changes.