enter image description hereI have several points in $\mathbb{R}^{3}$. When I create a 3D scatterplot of the points, they seem to lie on an ellipsoid as shown in the above plot. How do I interpret the plot ? Does it indicate that the points follow a trivariate normal distribution ?

  • $\begingroup$ On or inside? Can you post the plot? $\endgroup$ – user2974951 Jul 23 '19 at 5:54
  • $\begingroup$ See the plot in the edited question. $\endgroup$ – Sayan Jul 23 '19 at 8:29
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    $\begingroup$ We can't judge a complex distribution from this plot. It's not obviously inconsistent with it, as far as I can see. And as for it's interpretation, I think you need to say more about what this represents before we can offer meaningful opinions. $\endgroup$ – mkt - Reinstate Monica Jul 23 '19 at 8:42
  • $\begingroup$ The scatterplot represents a bootstrap sample of size 100,000 for the vector of spatial (geometric) medians obtained from datapoints in $\mathbb{R}^{3}$. $\endgroup$ – Sayan Jul 23 '19 at 14:13
  • $\begingroup$ 3 D scatterplots (and other 3 D plots) are notoriously hard to interpret. You could look at a lattice of 2 D plots. You could also look at other graphs. $\endgroup$ – Peter Flom Jul 24 '19 at 11:50

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