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  • $\begingroup$ The sampling distribution of $R_S^2$ does not need to be symmetric, but I would expect it to include the value from the original sample. Perhaps you could increase the number of Bootstrap samples. $\endgroup$ Commented Jun 21, 2023 at 10:55
  • $\begingroup$ The distribution is from 50000 bootstrapped samples $\endgroup$ Commented Jun 21, 2023 at 11:49
  • $\begingroup$ When I look further into the components of $R_S^2$, I see the variance in random slope $V_V$ is the one that does not include the value from the original sample with non-parametric bootsrapping. I am not sure why this is the case. $\endgroup$ Commented Jun 21, 2023 at 12:14