Recent content by JotWe

  1. JotWe

    I 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

    I 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

    I 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

    I 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

    I 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

    I 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

    I 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.
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