I'm fairly new at stats. I have time-series data from a sensor. There are a lot of zeros in the data -- 70% of readings -- and those seem improbable physically. By visual inspection they seem to be faults, but the data otherwise looks like I expect it to. I plan to just throw away the zeros and interpolate those points. But it is possible (though unlikely) that there are some legitimate zeros being measured. You can look at the data here: http://imgur.com/RIlOpLt,al6dFW9
Intuitively it seems very improbable that the data would jump to zero, but I would like to be able to demonstrate this with some level of confidence and don't know where to start. If I plot P(i) against P(i+1) (for example) there is a clear gap between the zero and non-zero points. But what if the gap was small or a bit fuzzy making zero seem more plausible? How could I differentiate between spurious zeros and legitimate ones?
Intuitively it seems very improbable that the data would jump to zero, but I would like to be able to demonstrate this with some level of confidence and don't know where to start. If I plot P(i) against P(i+1) (for example) there is a clear gap between the zero and non-zero points. But what if the gap was small or a bit fuzzy making zero seem more plausible? How could I differentiate between spurious zeros and legitimate ones?