In normal observers, when contrast discrimination thresholds are measured across the range of possible reference contrasts (0%–100%), performance can be described by a dipper function.
26,27 The data in
Figure 4A suggest a difference in the slope of the rising phase of the contrast discrimination function in people with glaucoma compared with control subjects. It is not possible to determine whether this is the case from the data in
Figure 4, because the differences in contrast detection thresholds between individuals within the groups may result in the 15% stimulus not being on the rising arm of the dipper function in all individuals. To explore for possible differences in the shape of the dipper function between people with glaucoma and those without, we measured more complete functions on a subset of three control subjects and three people with glaucoma. Data are shown in
Figure 5. Reference contrasts were determined as a set multiple of the individual observer's own contrast detection threshold. The raw data were fit with the function
where
C t is the contrast discrimination threshold,
C r is the reference contrast,
n is the transducer exponent,
w is the intrinsic Weber fraction, and
T 0 is an estimate of the detection threshold. The derivation of this equation appears elsewhere,
31 and it has been used to fit contrast discrimination data of a form similar to that presented here.
28 As is shown in
Figure 5, the function shapes were similar in people with and without glaucoma when parameters were normalized relative to the individual's contrast detection thresholds (superimposed data from all participants shown in
Fig. 5A). This is despite the raw contrast discrimination thresholds of these individuals differing between the participants with glaucoma and the control (
Fig. 5B for the 15% reference contrast condition).