The curve fits and proportion of presence responses per visibility level for the three conditions are shown in
Figure 2. Mental imagery caused a horizontal shift of the psychometric curve, reflected in a significant effect of condition on the mean (
Fig. 1C;
F(39, 2) = 7.34,
p = 0.002, η
p2 = 0.273). Post hoc comparisons revealed that the amount of signal needed to achieve 50% presence responses was significantly lower during congruent imagery (
M = 4.76,
SD = 1.61) than during no imagery (
M = 5.29,
SD = 1.36;
t(40) = 2.97,
p = 0.005) or during incongruent imagery (
M = 5.85,
SD = 2.39;
t(40) = 3.63,
p = 0.0007). Furthermore, the mean was also significantly higher during incongruent imagery compared to no imagery (
t(40) = 2.12,
p = 0.038). In contrast, there was no significant effect of imagery condition on either the slope (
F(39, 2) = 1.325,
p = 0.277) or the guess rate (
F(39, 2) = 0.169,
p = 0.845). We further quantified the evidence for the presence or absence of a condition difference using Bayesian statistics in JASP (
JASP & JASP Team, 2019). In keeping with the interpretation of Bayes factors from
Jeffreys (1961) and
Lee and Wagenmakers (2014), there was extreme evidence for an effect on mean (
BF = 109.85), moderate evidence for the absence of an effect on slope (
BF = 0.29), and strong evidence for the absence of an effect on guess rate (
BF = 0.08).