Figure 4 shows identification errors for both older and younger participants for angles around vertical and horizontal.
Figure 4 (left) indicates errors for orientations around horizontal, whereas
Figure 4 (right) indicates errors for orientations around vertical. Errors were computed as the angular difference between the actual orientation of the Gabor and the orientation of the bar that participants were asked to adjust. Negative errors indicate an adjustment of the bar anticlockwise away from the orientation of the Gabor, and positive errors indicate an adjustment of the bar clockwise away from the orientation of the Gabor.
Absolute errors were submitted to a mixed-design 2 (age group) × 2 (orientations) × 9 (angular difference) ANOVA. Mauchly's test of sphericity indicated that the assumption of sphericity had been violated for the main effect of angular difference and the orientation × angular difference interaction, and degrees freedom were corrected using the Greenhouse-Geisser correction (ε = 0.52 and ε = 0.65, respectively).
The ANOVA revealed main effects of orientation (F(1,40) = 14.6, p < 0.01), angular difference (F(4, 167) = 38.12, p < 0.001), and the following interactions: age × orientation (F(1,40) = 5.65, p < 0.05), orientation and angular difference (F(5,206) = 11.46, p < 0.001), and age ×orientation × angular difference (F(5,206) = 2.9, p < 0.02). The main effect of age (F(1,40) = 1.76, p = 0.19) and the interaction of age and angular difference (F(4,167) = 1.68, p = 0.16) were not significant.
Across all age groups, angular errors were smaller for orientations around horizontal (
Figure 4 [left];
M = 4.5°,
SD = 2.8°) compared to those around vertical (
Figure 4 [right];
M = 6.7°,
SD = 3.4°). Age differences were more pronounced for near-vertical (
Figure 4 [right]; Older:
M = 8.1,
SD = 3.6, Younger:
M = 5.7,
SD = 2.9), than for near-horizontal orientations (
Figure 4 [left]; Older:
M = 4.2,
SD = 1.8, Younger:
M = 4.8,
SD = 3.4).
To further quantify the three-way interaction between age, orientation, and angular difference, we conducted independent
t-tests between both age groups at each angular difference (
Table 2). Significant differences between age groups mainly occurred at close-to-vertical orientations. Taken together, our results replicate the oblique effect by showing that, across all age groups, orientation reproduction was worse for oblique orientations compared to cardinal ones. In addition, reproduction was better for oblique orientations near horizontal than for oblique orientations near vertical. More importantly, however, older adults performed worse than younger adults for oblique orientations near-vertical, in particular to the right of vertical, but not for orientations close to horizontal.
We investigated the response variability, which provides a measure of perceptual uncertainty by computing the standard deviation of each participant's reproduction error for each orientation.
Figure 5 shows those standard deviations averaged across participants. Standard deviations were submitted to a mixed-design 2 (age group) × 2 (orientations) × 9 (angular difference) ANOVA. Mauchly's test of sphericity indicated that the assumption of sphericity had been violated for the main effect of angular difference and the interactions between age group x angular difference, orientation x angular difference and age group × orientation × angular difference, and degrees freedom were corrected using the Greenhouse-Geisser correction. The ANOVA revealed a main effect of angular difference (
F(4,164) = 19.75,
p < 0.01). As can be seen in
Figure 5, there is a clear oblique effect with a relatively low variability (higher precision) for cardinal compared to oblique orientations. In addition, the ANOVA revealed an age x orientation interaction (F(1,40) = 5.3, p < 0.05). Welch two-sample t-tests showed that the age-difference was marginally significant for orientations around vertical (
t(37) = −1.9,
p = 0.065; older:
M = 10.8,
SD = 2; younger:
M = 9.7,
SD = 2) but not for orientations around horizontal (
t(39) = 0.02,
p = 0.98; older:
M = 10.2,
SD = 2; younger:
M = 10.3,
SD = 3).
All other main effects and interactions were not significant and overall, response variability was comparable for orientations around vertical and those around horizontal (age, F(1,40) = 0.7, p = 0.4, orientation, F(1,40) = 0.03, p = 0.85, age × angular difference, F(4,164) = 0.46, p = 0.77, orientation × angular difference, F(6,223) = 2.08, p < 0.06, age × orientation × angular difference, F(6,223) = 0.88, p = 0.5).