First, to be considered valid, a correction had to be made on a point where a change detection event had occurred. Corrections made on points where change detection events did not occur were excluded from the subsequent analyses. Next, we computed the proportion of valid corrections as the ratio between the number of valid corrections over the total number of change detection events for each degree of change (six intensities ranging from 0% to 4% of global change). Then we fitted cumulative Gaussian function to the participant's proportion of correct responses as a function of the percentage of change (
Figure 4A and
4C) for each location of change relative to the last drawn point and for each screen of change (Drawing vs. Original). Next, we measured the threshold percentage of change needed so that the participant reported a change in 50% of the cases. Finally, we computed our participants' sensitivity to change by taking the inverse of these thresholds:
Next, we evaluated whether participants' sensitivity was affected by the context, “Drawing” versus the “Original,” by its location relative to the last drawn point (−1, −2, −4) or by participants' drawing skill. To do so we fitted a linear mixed-effects model to participants' sensitivity with all of these fixed factors, and with subjects as a random factor to account for our repeated measures design (
Figure 4B and
4D). We found that overall, our participants' sensitivity was higher for changes occurring in the original figure than in their own “drawing,”
χ2(1) = 275.4,
p < 0.0001, and higher for changes occurring on locations closer to the last drawn point,
χ2(2) = 155.1,
p < 0.0001, for the linear regression of sensitivity over the −1, −2, and −4 locations. As expected by our hypothesis, skilled participants were overall much better at detecting changes, and this was true regardless of the location of the change (in the drawing or in the original) or of its location relative to the last drawn point,
χ2(1) = 22.8,
p < 0.0001. We found a significant interaction between the place of the change and its location,
χ2(2) = 14.2,
p < 0.0008, and also between participants' drawing skill and the location of change,
χ2(2) = 12.3,
p < 0.002]. There was a marginally significant interaction between participants' skill and the place of change,
χ2(1) = 2.94,
p = 0.086. However, these interactions should be considered as artifacts of the nonlinearity of the decay of sensitivity as a function of the location of the changed point relative to the last drawn points (see
Figure 4E). These interactions were no longer significant when participants' sensitivity was log-scaled, 0.23 <
P < 0.86, whereas the main effects previously described remained highly significant (
p < 0.0001).