Parameter extraction from modeling the psychometric functions (equation 2) is summarized in the
Table and
Figure 3. Older participants required a greater level of Glass pattern coherence to be able to discriminate between concentric and radial stimuli (
Fig. 3A, parameter
a, equation 2). Similarly, greater deformation of RF patterns (increased
A, equation 1) was needed for discrimination between RF3 and RF4 stimuli (
Fig. 3B, parameter
a, equation 2) by older participants. The slopes of psychometric functions tended to be flatter for older participants (as indicated by elevated parameter
b, equation 2;
Figs. 3C,
3D), although this reached statistical significance only for the Glass pattern stimuli.
To compare whether contour discrimination was more difficult for older participants in either the Glass pattern or RF pattern stimuli, effect sizes (
d, equation 3) for parameter
a (
Figs. 3A,
3B) were calculated:
In equation 3, effect size,
d, is a function of the mean,
μ, and standard deviation,
σ, of parameter
a (equation 2) for older (O) and younger (Y) participants. Effect sizes were calculated as 2.1 and 1.2, respectively, for Glass and RF patterns. We also calculated
Z-scores for each older observer relative to younger adult group performance for each of the tasks. For both the Glass and RF tasks, the distributions of both older and younger adult group performance did not depart from that of a normal distribution (Kolmogorov–Smirnov tests, all
P > 0.05); thus
z-scores are a meaningful metric. For the older adults,
z-scores were on average higher for the Glass task than for the RF task [paired
t(13) = 2.18,
P < 0.05], indicating that the difference between group means was greater for the Glass pattern task than that for the RF task.