Here we investigate the stability of group-level representations across participants. We compute the stability of group-level representations by randomly sampling a subset of participants and computing the correlation between the group-level representation computed from this subset and the full group-level representation.
Note this figure should be combined with the CCA results plot, and this figure will be included in the supplementary materials.
Semantic transformation, representation fidelity, and memory
Here we use individual to semantic representation similarity (ISS), indicating semantic transformation, and individual to group representation similarity (IGS), indicating representation fidelity, to predict memory performance. We also compare the predictive power of ISS and IGS, and we explore the mediation effect of representation fidelity on the effect of semantic transformation on memory performance.
Predictive power of ISS and IGS (overall d’)
Code
# ISS predicts memory# show legend because this the first panel of the figurep_iss_mem_scatter <-visualize_scatter( targets::tar_read(data_iss_whole), targets::tar_read(mem_perf),show_legend =TRUE)p_iss_mem_dynamic <-visualize_dynamic( targets::tar_read(stats_iss_mem_dynamic), targets::tar_read(clusters_stats_iss_mem_dynamic),col_stat ="estimate",lab_stat =expression(italic(r)[ISS -"d'"]))# IGS predicts memoryp_igs_mem_scatter <-visualize_scatter( targets::tar_read(data_igs_whole), targets::tar_read(mem_perf))p_igs_mem_dynamic <-visualize_dynamic( targets::tar_read(stats_igs_mem_dynamic), targets::tar_read(clusters_stats_igs_mem_dynamic),lab_stat =expression(italic(r)[IGS -"d'"]))(p_iss_mem_scatter | p_iss_mem_dynamic) / (p_igs_mem_scatter | p_igs_mem_dynamic) +plot_layout(guides ="collect") &# tags are added in Adobe Illustrator# plot_annotation(tag_levels = "A") &theme(legend.position ="top")if (!interactive()) {ggsave_default(width =13, height =5)}
Here we compare the predictive power of ISS and IGS on memory performance. We use linear regression to model the relationship between ISS/IGS and memory performance, and we compare the models using adjusted R-squared.
Note we decided that the figures will be only included in the supplementary materials.
Mediation analysis of ISS and IGS on memory performance
First, we investigate the predictive power of ISS on memory performance after controlling for the effect of IGS. We use linear regression to model the relationship between ISS and memory performance, and we compare the models with and without IGS as a covariate.
Second, we investigate the mediation effect of IGS on the relationship between ISS and memory performance. We use structural equation modeling (SEM) to model the mediation effect, and we visualize the mediation diagram.