  Data from the TESS mission will be used to discover hundreds of small planets
amenable to radial velocity (RV) followup. Often, RV observations are obtained
until a particular fractional precision on the inferred mass is achieved. I
show that when the decision to stop collecting RV observations depends on the
mass inferred from already-collected data, this will bias mass measurements
upward, particularly when the fixed length of RV observing campaigns is
considered. I suggest that observing teams should determine their observing
strategy for each star before any data are collected, and all stopping criteria
should not directly depend on the inferred mass. Observing teams should
explicitly publish both their criteria for observing targets and deciding to
end their observations, as well as their mass non-detections to avoid
introducing biases into the masses---and thus inferences on the densities,
compositions, and atmospheres---of transiting planets.
