Tracking bacteria using video microscopy is a powerful experimental approach to probe their motile behaviour. The
trajectories obtained contain much information relating to the complex patterns of bacterial motility. However, methods for
the quantitative analysis of such data are limited. Most swimming bacteria move in approximately straight lines,
interspersed with random reorientation phases. It is therefore necessary to segment observed tracks into swimming and
reorientation phases to extract useful statistics. We present novel robust analysis tools to discern these two phases in tracks.
Our methods comprise a simple and effective protocol for removing spurious tracks from tracking datasets, followed by
analysis based on a two-state hidden Markov model, taking advantage of the availability of mutant strains that exhibit
swimming-only or reorientating-only motion to generate an empirical prior distribution. Using simulated tracks with varying
levels of added noise, we validate our methods and compare them with an existing heuristic method. To our knowledge this
is the first example of a systematic assessment of analysis methods in this field. The new methods are substantially more
robust to noise and introduce less systematic bias than the heuristic method. We apply our methods to tracks obtained
from the bacterial species Rhodobacter sphaeroides and Escherichia coli. Our results demonstrate that R. sphaeroides exhibits
persistence over the course of a tumbling event, which is a novel result with important implications in the study of this and
similar species