Trials with incorrect reactions, catch trials, those with reaction times (RTs) less than 150 ms or greater than 1000 ms, and those with RTs exceeding three standard deviations were discarded. Invalid diagonal conditions and conditions to the left side and right side of the target position were discarded as equilibrium conditions with a 25% cue validity (see more details in
Supplementary material). Mean RTs of correctly responded trials were then calculated and submitted to a 2 (target position: far space versus near space) × 3 (cue validity: valid versus invalid within versus invalid between) repeated-measures ANOVA (see
Figure 3).
The results showed a significant main effect of target position (F(1, 31) = 48.53, p < 0.001, \({\rm{\eta }}_{\rm{p}}^2\) = 0.61) with longer reaction times for far space targets (332 ms) than near space targets (320 ms). The main effect of cue validity was significant (F(1.650, 51.164) = 66.89, p < 0.001, \({\rm{\eta }}_{\rm{p}}^2\) = 0.68), and further multiple comparisons showed that the reaction time for the valid condition (336 ms) was significantly longer than that for the invalid within condition (324 ms) (t(31) = 6.19, pbonf < 0.001, Cohen's d = 1.09, 95% confidence interval [CI] = 6.65 to 15.86). The reaction time for the valid condition (336 ms) was significantly longer than that for the invalid between condition (318 ms; t(31) = 12.30, pbonf < 0.001, Cohen's d = 2.18, 95% CI = 13.66 to 20.74), and significantly longer reaction times were noted for the invalid within condition (324 ms) than for the invalid between condition (318 ms) (t(31) = 4.73, pbonf < 0.001, Cohen's d = 0.84, 95% CI = 2.76 to 9.13). The interaction between target position and cue validity was significant (F(2, 62) = 3.83, p = 0.027, \({\rm{\eta }}_{\rm{p}}^2\) = 0.11). Given differences in attentional resources and attentional orienting/re-orienting in far and near spaces, we conducted one-way repeated-measures ANOVA for reaction times in far and near spaces separately.
For targets appearing in far space, the main effect of cue validity was significant (F(2, 62) = 44.34, p < 0.001, \({\rm{\eta }}_{\rm{p}}^2\) = 0.59), and multiple comparisons indicated that the reaction time for the valid condition (343 ms) was significantly longer than that for the invalid within condition (328 ms; t(31) = 6.51, pbonf < 0.001, Cohen's d = 1.15, 95% CI = (9.16 to 20.82). The reaction time for the valid condition (343 ms) was significantly longer than that for the invalid between condition (325 ms; t(31) = 8.69, pbonf < 0.001, Cohen's d = 1.54, 95% CI = 12.70 to 23.15). The difference in reaction times between the invalid within condition (328 ms) and the invalid between condition (325 ms) was not significant (t(31) = 1.71, pbonf = 0.291).
For targets appearing in near space, the main effect of cue validity was significant (F(2, 62) = 30.29, p < 0.001, \({\rm{\eta }}_{\rm{p}}^2\) = 0.49), and multiple comparisons indicated that the reaction time for the valid condition (328 ms) was significantly longer than that for the invalid within condition (320 ms; t(31) = 3.19, pbonf = 0.010, Cohen's d = 0.56, 95% CI = 1.55 to 13.49). The reaction time for the valid condition (328 ms) was significantly longer than that for the invalid between condition (312 ms; t(31) = 8.19, pbonf < 0.001, Cohen's d = 1.45, 95% CI = 11.38 to 21.58), and the reaction time was significantly longer for the invalid within condition (320 ms) than for the invalid between condition (312 ms; t(31) = 4.55, pbonf < 0.001, Cohen's d = 0.81, 95% CI = 3.98 to 13.93).