Effect of temperature on determination of error in diffusion measurements
Variations in temperature should not be factored into the calculation of error[@catipovic2013Improving the quantification of Brownian motion] in the same way variations on bead radius should not. This is independent of whether we calculating diffusion coefficient from jump statistics or Calculating diffusion coefficient from mean squared displacement data
Assuming that beads are distributed around a mean value can be fair, but I don't think is fair to assume this for temperature. I do think that most likely temperature will be different from the measured temperature and not a distribution. It does not matter if we measure 1 or 100000 tracks, there'll be a constant offset.
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