To evaluate whether the different training interventions systematically influenced gaze behavior, six dependent variables were calculated. First, to determine whether the duration of the visual fixations changed as a result of the training intervention, the
mean fixation duration (in milliseconds) was calculated for each trial by averaging the duration of all fixations in that trial. Second, as a proxy assessment for whether the breadth of the search changed as a result of training, the
mean saccadic amplitude (in degrees of visual angle) was determined by calculating the average angular subtense of all saccades in each trial. Third, to assess whether the training altered
where participants directed their fixations, the distribution of gaze across 10 distinct areas of interest (AoI) was assessed for each trial by calculating the
percentage of total viewing time spent viewing each of the 10 areas. The ten AoIs were (a) the player in possession of the ball (the ball carrier), (b) the defender of the ball carrier, (c–f) each of the four attacking team-mates (from closest to furthest from the ball-carrier), and (g–j) the matching defenders of the four attacking teammates (see also Ryu et al.,
2015; Ryu, Abernethy et al.,
2013). Fourth, we calculated the
breadth of search relative to the ball carrier to examine how widely participants searched relative to the position of the ball carrier (known to be the most frequently fixated AoI; Ryu et al.,
2015) by taking the average of the distance between the direction of gaze and the centroid for the ball carrier for each frame in a trial (in degrees of visual angle). Fifth, the
difference in spatiotemporal gaze pattern from pretest to posttest and from posttest to retention test was calculated to compare the differences in the position of central gaze between the different tests. The x-y coordinates of gaze were taken for each clip and compared for each frame to the x-y coordinates for the same frame in the corresponding clip (coordinates flipped if the video was flipped). When averaged across frames in each clip, this provided a measure (in degrees of visual angle) of how much the pattern of gaze changed as a result of training. Finally,
gaze entropy was calculated to assess the degree to which the gaze pattern was organized or randomly distributed across the different tests. For this variable, the number of fixation transitions between the 10 distinct AoIs was first calculated by producing a first-order transition frequency matrix of
p(
i to
j), where
i represents the AoI before the transition and
j represents the AoI after the transition. These matrices were converted to conditional transition probability matrices of
p(
j|
i), which gives a first-order Markov process in which calculations are made of the probability of fixating on the
jth AoI if the previous fixation were to be toward the
ith AoI (Allsop & Gray,
2014; Ellis & Stark,
1986). The entropy was calculated using Ellis and Stark's (
1986) equation:
where
p(
i) is the zero-order probability of fixating on the
ith AoI (based on the percentage of total viewing time toward it),
p(
j|
i) is the conditional probability of viewing AoI
j if the previous fixation was on AoI
i, and
n is the number of AoIs (i.e., 10 in the current study). A higher entropy value represents a greater level of randomness in the visual search.