The average foraging time per trial is depicted in Fig. 3A for each of the three condition types. Inspection of this figure suggests a simple pattern: Foraging times were longer for the subject-directed wolfpack trials, relative to both the perpendicular-to-subject and other-directed wolfpack trials (which did not themselves differ). These impressions were verified by the following statistical analysis. A one-way repeated measures analysis of variance (ANOVA) on foraging times revealed a marginally significant effect of dart orientation [F(1, 39) = 2.85, p = .064, η
p
2 = .068]. Planned comparisons then revealed that subjects took longer to forage for food dots on subject-directed wolfpack trials than on either perpendicular-to-subject trials [t(39) = 2.15, p = .038, d = 0.34] or other-directed wolfpack trials [t(39) = 2.14, p = .039, d = 0.34], which did not themselves differ [t(39) = 0.05, p = .962, d = 0.01].
What explains this difference in foraging times? One obvious possibility is that subjects traversed less direct paths to the food dots in the subject-directed wolfpack trials, perhaps because they felt threatened by—and thus wanted to avoid—the darts. To explore this possibility, we broke the trials down into individual “food runs.” For each food run, we generated the most efficient path (i.e., the straight line) between the subject’s location at the start of the run and the next food dot. We then measured the maximum perpendicular distance between this line and the subject’s trajectory (the maximum deviation). A one-way repeated measures ANOVA on these maximum deviations, however, revealed no effect of condition [F(1, 39) = 0.245, p = .783, η
p
2 = .006], and none of the individual conditions differed from the others (ts ≤ 0.68, ps ≥ .50, ds ≤ 0.11).Footnote 1
If the subject did not forage on less efficient paths in the subject-directed wolfpack condition, it follows that the greater foraging time must be explained by appeal to temporal factors alone—and the most obvious such factor is the subject’s average foraging speed. And indeed, a one-way repeated measures ANOVA on average foraging speed (measured simply as the total distance traveled divided by the total time taken) revealed a significant effect of condition [F(1, 39) = 7.79, p < .001, η
p
2 = .166]. Planned comparisons revealed that speeds were slower on subject-directed wolfpack trials than on either perpendicular-to-subject trials (7.07°/s vs. 7.22°/s) [t(39) = 3.66, p < .001, d = 0.58] or other-directed wolfpack trials (7.15°/s) [t(39) = 2.41, p = .021, d = 0.38]—and that speeds were marginally faster on perpendicular-to-subject trials than on other-directed wolfpack trials [t(39) = 1.74, p = .089, d = 0.28].
Direct replication
Given that the darts were completely irrelevant to the subjects’ task and that subjects were thus explicitly instructed to ignore them, it is perhaps not a surprise that the key differences reported above—though all statistically significant—were also very small (comprising just a few seconds over the course of the experiment). As such—and also because this experimental paradigm was developed for the present project (and so had never been used before)—it seemed prudent to run a direct replication. A power analysis on the primary data reported above indicated that we would need 80 subjects to replicate the observed effects from the main experiment with 80 % power. We therefore recruited 80 new subjects (45 female, 35 male; average age = 21.0 years, SD = 3.30 years) and replicated the experiment exactly.
The resulting foraging times are depicted in Fig. 3B. Inspection of this graph reveals that this replication produced the same pattern of results, and this was verified via the same statistical analyses. The main effect of condition on foraging times was significant [F(1, 79) = 3.56, p = .031, η
p
2 = .043], and again, subjects took longer to forage on subject-directed wolfpack trials than on either perpendicular-to-subject trials [t(79) = 2.37, p = .020, d = 0.26] or other-directed wolfpack trials [t(79) = 2.23, p = .029, d = 0.25], which did not themselves differ [t(79) = 0.074, p = .941, d = 0.01]. There was no effect of condition on either the maximum deviations [F(1, 79) = 0.36, p = .701, η
p
2 = .004] or foraging speed [F(1, 79) = 2.19, p = .115, η
p
2 = .027], however, and the only individual comparison that was (barely) reliable was that foraging speeds were slower on subject-directed wolfpack trials than on perpendicular-to-subject trials (7.41°/s vs. 7.49°/s) [t(79) = 1.99, p < .05, d = 0.22; all other ts ≤ 1.31, all other ps ≥ .194, all other ds ≤ 0.15].