\section{Results}
\label{results}

\begin{subfigs}{push_results}{Results of the push task performance metrics for each visual hand rendering. }[
    Geometric means with bootstrap 95~\% confidence interval
    and Tukey's HSD pairwise comparisons: *** is \pinf{0.001}, ** is \pinf{0.01}, and * is \pinf{0.05}.
  ][
  \item Time to complete a trial.
  \item Number of contacts with the cube.
  \item Time spent on each contact.
  ]
  \subfig[0.24]{results/Push-CompletionTime-Hand-Overall-Means}
  \subfig[0.24]{results/Push-ContactsCount-Hand-Overall-Means}
  \subfig[0.24]{results/Push-MeanContactTime-Hand-Overall-Means}
\end{subfigs}

\begin{subfigs}{grasp_results}{Results of the grasp task performance metrics for each visual hand rendering. }[
    Geometric means with bootstrap 95~\% confidence interval
    and Tukey's HSD pairwise comparisons: *** is \pinf{0.001}, ** is \pinf{0.01}, and * is \pinf{0.05}.
  ][
  \item Time to complete a trial.
  \item Number of contacts with the cube.
  \item Time spent on each contact.
  \item Distance between thumb and the other fingertips when grasping.
  ]
  \subfig[0.24]{results/Grasp-CompletionTime-Hand-Overall-Means}
  \subfig[0.24]{results/Grasp-ContactsCount-Hand-Overall-Means}
  \subfig[0.24]{results/Grasp-MeanContactTime-Hand-Overall-Means}
  \subfig[0.24]{results/Grasp-GripAperture-Hand-Overall-Means}
\end{subfigs}

Results of each trials measure were analyzed with a linear mixed model (LMM), with the order of the two manipulation tasks and the six visual hand renderings (Order), the visual hand renderings (Hand), the target volume position (Target), and their interactions as fixed effects and the Participant as random intercept.
%
For every LMM, residuals were tested with a Q-Q plot to confirm normality.
%
On statistically significant effects, estimated marginal means of the LMM were compared pairwise using Tukey's HSD test.
%
Only significant results were reported.

Because Completion Time, Contacts, and Time per Contact measure results were Gamma distributed, they were first
transformed with a log to approximate a normal distribution.
%
Their analysis results are reported anti-logged, corresponding to geometric means of the measures.
