Various aspects of the results are shown in
Figures 2,
3,
4 and
5—these figures illustrate significant interactions involving pattern complexity (
Figures 2 &
4), the overall relationship between pattern complexity and detection performance (
Figure 3), as well as the overall results of individual younger and older observers (
Figure 5). We evaluated our observers’ sensitivity to the patterns in terms of
d′, the perceptual sensitivity measure of signal detection theory (
Macmillan & Creelman, 1991). The observers’
d′ values were subjected to a three-way split-plot analysis of variance (ANOVA; 2 age groups × 2 noise levels × 8 stimulus patterns). The results of the ANOVA showed that the observers’ ability to detect the patterns was heavily influenced by stimulus complexity (
F(7, 112) = 43.6,
p < 0.000001;
η2p = 0.73). The significant and large effect of stimulus complexity is readily evident in
Figure 2. This figure also illustrates a significant main effect of noise (
F(1, 16) = 58.3,
p = 0.000001;
η2p = 0.79) and a noise × complexity interaction (
F(7, 112) = 5.1,
p < 0.0001;
η2p = 0.24), such that the effect of complexity was larger for the low noise condition and smaller in magnitude for the high noise condition. The overall effect of stimulus complexity is presented in
Figure 3: a linear relationship exists between log pattern complexity and the observers’ pattern detection performance (Pearson
r = −0.95,
p < 0.001, two-tailed). Although there was no main effect of age (
F(1, 16) = 2.0,
p = 0.18;
η2p = 0.11), there was nevertheless a significant age x complexity interaction (
F(7, 112) = 2.9,
p < 0.01;
η2p = 0.15) that can be readily seen in
Figure 4. Notice that while there was no consistent effect of age for the four most complex patterns (i.e., for complexity scores of 22.2 and higher), there was a modest effect of age for the four simplest patterns (complexity scores of 9.7 and below). The younger adults’
d′ values were 37.0% higher than those of the older adults for those simpler patterns (overall
d′ values were 1.510 and 1.102, respectively). There were no other significant effects (i.e., no significant age × noise or age × noise × complexity interactions). Another way to think about this effect of age concerns thresholds—for example, the magnitude of stimulus complexity that produces a particular level of performance (e.g., a
d′ value of 1.0) for the younger and older observers. Notice in
Figure 4 (see the dashed lines) that for older adults, their pattern detection performance dropped to a threshold value (e.g., a
d′ value of 1.0) by a complexity value of 5.0 whereas the younger adults did not drop to that same threshold level of performance until they had reached a complexity value of 10.5; younger adults could therefore tolerate additional stimulus complexity (more than the older adults could tolerate) while performing at the same threshold level.