Dependent variables were analyzed using a linear mixed model (LMM) procedure run in SPSS Statistics 21 (IBM, Armonk, NY). This was done by using the LMM procedure with age group (older and younger), target final position (center, left, and right), and perturbation time (0 ms and 200 ms) as fixed effects and participant as a random effect, with the variance structure modeled as variance components. We used a Type III
F tests to test the significance of the main effects. We have reported the
F test results and results of post hoc pairwise comparisons for the sake of space, consistent with other examples of reporting of LMM analyses for repeated measures designs (e.g.,
Cheterikov & Filippova, 2014). This analysis was used to test each of our hypotheses, for each dependent variable. Where a significant main effect was detected, post hoc pairwise analysis was performed, and a Bonferroni adjustment for multiple comparisons was used. At present, there is no generally agreed-upon measure of effect size that can be calculated for linear mixed models (e.g.,
Snijders & Bosker, 1999). To date, there is also no generally agreed-upon method for calculating power for LMM analyses with fixed and random effects (for further discussion of this topic, see
Brysbaert & Stevens, 2018). For exploratory studies like this one, where few comparable data are available in the literature, it can be difficult to estimate effect size in advance, and this is an additional difficulty for calculating power. However, it is important to understand what proportion of the variance is explained by our statistical analyses. To give insight into the proportion of the variance explained by the fixed and random effects specified in our LMM analyses, we calculated a pseudo-
R2 measure first proposed by
Nakagawa and Schielzeth (2013) and further developed by
Johnson (2014).
R2 marginal (
R2GLMM(m)) describes the variance explained by the fixed effects relative to the expected variance of the dependent variable (values 0–1), whereas
R2 conditional (
R2GLMM(c)) can be considered the variance explained by the fixed and the random effects relative to the expected variance of the dependent variable (values 0–1). This analysis was implemented in Jamovi using the GAMLj: General Analyses for the Linear Model in Jamovi package (
Jamovi Project, 2020).