For our analysis, the distribution of each participant's memory response was fit using the previously described probabilistic mixture modelling approach. It is noteworthy that in our participant group, consisting of 7 men and 29 women, no particular color preference was observed. The favorite colors chosen were diverse, spanning a wide range of hues, indicating no concentration around any specific color.
We examined whether statistical regularities, specifically the propensity of a participant's favorite color to occur frequently among squares in a working memory task, might distort their reports. Figure 2 depicts histograms of memory errors, based on trials where the target square's color was sampled from a Short, Medium, or Long distance in color space from the participant's favorite color. Notably, the tails of the distributions show a trend at long distances: heavier tails on the right indicate a bias toward recall of the preferred color, especially as color distance increases. This indicates the presence a systematic bias in memory.
Each histogram illustrates a peak at zero error, indicating instances of accurate color recall. However, as the color distance increases, the spread of errors increases.It is visually apparent that memory errors shifting toward the favorite color, suggesting the occurrence of swap errors.
We conducted a repeated-measures ANOVA to explore the impact of the distance from a participant's favorite color on memory accuracy. The analysis revealed a significant main effect of color distance on memory performance ([F(1,1284) = 7.5, p = 0.001]), indicating that memory accuracy decreases as the target color's distance from the favorite color increases. A significant linear contrast further substantiated this relationship ([F(1,642) = 13.10, p < 0.001]), suggesting a consistent increase in memory errors with greater color distances (Mauchly’s test of sphericity confirmed that the variances among the experimental conditions were equal (χ²(2) = 3.04, p = 0.21), validating the sphericity assumption of our ANOVA results).
In Fig. 3, the amplitude of various components in our model is displayed, demonstrating that the target consistently exerts a strong influence across all conditions, indicating the highest probability of recalling accurately. Additionally, the figure is demonstrating that guessing (γ denotes the likelihood of a random response, hinting at guessing behaviours.) plays a role across all conditions, surpassing the influence of both 'Favorite' and 'Opposite' components.
Figure.4 shows the average error trend in memory recall at different distances from a participant's favorite color classified as short, medium, and long. A value of 0 would indicate no systematic deviation from the correct color. Positive values indicate attraction, suggesting that participants reported a color close to the correct color but slightly shifted either toward their favorite color. On the other hand, negative values indicate repulsion, indicating a deviation away from their favorite color.
At short distances, a repulsion effect is evident with errors showing a negative mean, indicating distance from the color of interest. As the distance increases to medium, the repulsive effect decreases slightly. Notably, at long distances, a clear attraction effect appears and the mean errors become positive, indicating a significant bias towards the color of interest. This trend highlights the dynamic effect of color proximity on memory accuracy, changing from repulsion to attraction as distance from the preferred color increases.
Other parameters
The correlation analysis only revealed significant correlations (p < 0.05) between the errors in long segment and delay. Examining the average confidences across all conditions did not show a significant difference. However, examining the errors of individuals with high (80% and above) and low(40% and lower) confidence in different segments, showed differences only in the short distance segment, the distribution of errors for low confidence trials exhibits a shift in the mean toward favorite color compared to high confidence trials.
Exploratory analyses of the target standard deviation and the standard deviation of the standard deviation (Std) of responses toward the favorite color across different distances (Short, Medium, Long) is shown in figure.5. A smaller standard deviation would indicate that the responses are more consistently close to the mean, suggesting less variability in how accurately participants remember the favorite color across different distances.