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phd-thesis/4-manipulation/visuo-haptic-hand/3-1-push.tex
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\subsection{Push Task}
\label{push}
\paragraph{Completion Time}
On the time to complete a trial,
a \LMM \ANOVA with by-participant random intercepts indicated two statistically significant effects:
\factor{Positioning} (\anova{4}{2341}{3.6}, \p{0.007}, see \figref{results/Push-CompletionTime-Location-Overall-Means})
and \factor{Target} (\anova{1}{1990}{3.9}, \p{0.05}).
\level{Fingertips} was slower than \level{Proximal} (\percent{+11}, \p{0.01}) or \level{Opposite} (\percent{+12}, \p{0.03}).
There was no evidence of an advantage of \level{Proximal} or \level{Opposite} on \level{Nowhere}, nor a disadvantage of \level{Fingertips} on \level{Nowhere}.
Yet, there was a tendency of faster trials with \level{Proximal} and \level{Opposite}.
The \level{LB} target volume was also faster than the \level{LF} (\p{0.05}).
\paragraph{Contacts}
On the number of contacts,
a \LMM \ANOVA with by-participant random intercepts indicated one statistically significant effect of
\factor{Positioning} (\anova{4}{1990}{2.4}, \p{0.05}, see \figref{results/Push-Contacts-Location-Overall-Means}).
More contacts were made with \level{Fingertips} than with \level{Opposite} (\percent{+12}, \p{0.03}).
This could indicate more difficulties to adjust the virtual cube inside the target volume.
\paragraph{Time per Contact}
On the mean time spent on each contact,
a \LMM \ANOVA with by-participant random intercepts indicated two statistically significant effects of
\factor{Positioning} (\anova{4}{1990}{11.5}, \pinf{0.001}, see \figref{results/Push-TimePerContact-Location-Overall-Means})
and of \factor{Hand} (\anova{1}{1990}{16.1}, \pinf{0.001}, see \figref{results/Push-TimePerContact-Hand-Overall-Means})
but not of the \factor{Positioning} \x \factor{Hand} interaction.
It was shorter with \level{Fingertips} than with \level{Wrist} (\percent{-15}, \pinf{0.001}), \level{Opposite} (\percent{-11}, \p{0.01}), or \level{Nowhere} (\percent{-15}, \pinf{0.001});
and shorter with \level{Proximal} than with \level{Wrist} (\percent{-16}, \pinf{0.001}), \level{Opposite} (\percent{-12}, \p{0.005}), or \level{Nowhere} (\percent{-16}, \pinf{0.001}).
This showed different strategies to adjust the cube inside the target volume, with faster repeated pushes with the \level{Fingertips} and \level{Proximal} positionings.
It was also shorter with \level{None} than with \level{Skeleton} (\percent{-9}, \pinf{0.001}).
This indicates, as for the \chapref{visual_hand}, more confidence with a visual hand augmentation.
\begin{subfigs}{push_results}{Results of the push task performance metrics.}[
Geometric means with bootstrap \percent{95} \CI for each vibrotactile positioning (a, b and c) or visual hand augmentation (d)
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 Mean time spent on each contact.
\item Mean time spent on each contact.
]
\subfig[0.24]{results/Push-CompletionTime-Location-Overall-Means}
\subfig[0.24]{results/Push-Contacts-Location-Overall-Means}
\subfig[0.24]{results/Push-TimePerContact-Location-Overall-Means}
\subfig[0.175]{results/Push-TimePerContact-Hand-Overall-Means}
\end{subfigs}