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phd-thesis/4-manipulation/visual-hand/3-0-results.tex

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\section{Results}
\label{results}
Results of each trial metrics were analyzed with an \ANOVA on a \LMM model, with the visual hand augmentations (\factor{Hand}), the target volume position (\factor{Target}) and their interactions, as within-participant factors as well as by-participant random intercepts.
Depending on the data, different random effect structures were tested.
Only the best converging models are reported, with the lowest Akaike Information Criterion (AIC) values.
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 are reported.
Because \response{Completion Time}, \response{Contacts}, and \response{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.