For each participant, we calculated the proportion of correct trials per blur condition. The results of an ANOVA run using these values yielded main effects of blur level [
F(2, 118) = 101.7,
p < 0.001, partial η
2 = 0.63] and age group [
F(2, 59) = 7.5,
p = 0.001, partial η
2 = 0.20]. We examined both of these main effects using post hoc two-tailed paired-samples
t tests implemented in JASP, with Bonferroni-corrected
p values. The main effect of blur level was driven by significantly lower accuracy for high blur images relative to low blur images (
t = 12.98, Cohen's
d = 1.65,
p < 0.001) and unblurred images (
t = 11.61, Cohen's
d = 1.47,
p < 0.001). The main effect of age was driven by significant differences between 5- to 7-year-olds and adults (
t = 3.88, Cohen's
d = 0.49,
p < 0.001). Besides these main effects, we also observed a significant interaction between blur level and age group,
F(4, 118) = 3.53,
p = 0.009, partial η
2 = 0.11. Upon inspection, this result appeared to be driven by the disproportionately poor performance of 5- to 7-year-old children in response to high-blur images. To investigate this further, we carried out a post hoc analysis of the size of the blur effect across age groups: We calculated a difference score by subtracting performance in the “high-blur” condition from performance in the “low-blur” condition for each participant and then analyzed those difference scores using a one-way ANOVA with age group as a between-subjects factor. This yielded a significant effect of age group,
F(2, 59) = 3.59,
p = 0.034, which further post hoc testing revealed was the result of significant differences in the size of this difference score between adults and young children (post hoc Tukey's test,
t = 2.48,
p = 0.042). This suggests that increased image blur hurts performance in general but appears to hurt 5- to 7-year-olds more than adults. In
Figure 2, we include a plot of average accuracy as a function of age and blur level.