I'll apologize in advance if my previous response was too harsh. This Forum does not appear to allow editing, and this is unfortunate. The OP stated: "Are these useful for doing quantitative vibration analysis, and if not, what are their deficiencies?"
I am constantly checking for handy and useful vibration measurement apps for my Samsung Note II (Android) phone, but nothing was useful to me so far. The internal MEMS accelerometers have very low F-max for machinery vibrations, but may be OK for low frequency structural/seismic vibrations. Another issue is mounting/attaching the phone onto a surface. Finally, I would not trust any of these apps for quantitative measurements without amplitude and frequency calibration against a known good reference. Electricpete and perhaps a few others on Forum have "played" with these apps, so perhaps they can offer 1st hand experience. Probably fun apps to use while riding a roller coaster!
Walt