I bought the 1.5 inch and one band that is one size smaller. I think they stay on fine for work. The smaller size does fit better on my head. I don't know if they would stay on with more physical activity since I have not used it for that yet, but I can guess that it may slide off my head. I did assume the bands had some sort of grip but they don't. I believe the shape and style of the band is what makes it stay on better than others. I have a small head and no headbands stay on ever. These bands do stay on my head for work so I am happy about that.