Recent content by JotWe

  1. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Yes, I would like to estimate the distribution of the actual segment mass given the published statistics. Thank you for this hint! I will read up on deconvolution and see where it gets me.
  2. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Well, to answer your last question first: No, I would like to know (or approximate) the distribution of the model output. If I know the distribution, I still can think of the parameters to describe it. Actually, I don't have much information. I know a mean and a standard deviation of the...
  3. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Thank you again for your support and patience. Yes, I only know the sample mean and standard deviation of the measured volume. I (maybe too hastily) anticipated that these - based on the given information - are the best estimators for the sample mean and standard deviation of the actual volume...
  4. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    The larger set of volumes is based on a sample of 31 young male subjects [1]. For each body segment the mean volume and the standard deviation is reported as well as a constant density ##\rho## for all segments. These are my ##n_V##, ##\bar{V}##, ##\sigma_V## and ##\rho##. The six relative...
  5. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Thank you very much for your helpful comments and please excuse my late response. It's true, I don't know the actual volumes. That's why I tried to estimate the uncertainty resulting from the error-in-measurement by the standard deviation of the mean given by $$\sigma_{\bar{V}} =...
  6. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Thank you very much for your feedback! You are absolutely right, the volume is the random variable here. But my intention with the formula $$u_c(\bar{m}) = \sqrt{\frac{\rho^2 \, u(V)^2 + u(m)^2}{n_V}}$$ is not to estimate the uncertainty of the measured volume. I would like to estimate the...
  7. JotWe

    Undergrad Combined measurement uncertainty for mass computation

    Problem I would like to determine the combined standard measurement uncertainty for a mean mass ##\bar{m}## computed from a mean volume ##\bar{V}## and a constant density ##\rho## with $$\bar{m} = \bar{V} \, \rho.$$ I know the mean volume ##\bar{V}##, volume standard deviation ##\sigma_V##...
  8. JotWe

    Exploring Uncertainty Quantification: Join the Discussion on PF!

    Hi! I am interested in uncertainty quantification and look forward to some interesting discussions.