Table 2 presents the number of fixations, path length, average saccade length, average fixation duration, and last fixation duration; 2 (Culture of Observer: British or Chinese) × 4 (
Blindspot size: No Blindspot, 2°, 5°, 8°) × 4 (target size: No Target, 2°, 5°, 8°) ANOVAs were conducted on these measures.
Table 3 presents the average distance between the fixation and the target, the percentage of fixations on the target, and the saccade length before target fixation; 2 (Culture of Observer: British or Chinese) × 4 (
Blindspot size: No Blindspot, 2°, 5°, 8°) × 3 (target size: 2°, 5°, 8°) ANOVAs were conducted on these measures.
Table 2 Average number of fixations, path length (in degrees), saccade length (in degrees), fixation duration (in milliseconds), and last fixation duration (in milliseconds) for each culture of the observers for Blindspot size and target size including the trials without target.
Table 2 Average number of fixations, path length (in degrees), saccade length (in degrees), fixation duration (in milliseconds), and last fixation duration (in milliseconds) for each culture of the observers for Blindspot size and target size including the trials without target.
| | No Blindspot | Blindspot 2° | Blindspot 5° | Blindspot 8° |
Target size (degrees) |
No target | 2 | 5 | 8 | No target | 2 | 5 | 8 | No target | 2 | 5 | 8 | No target | 2 | 5 | 8 |
Nb fixations | EA | 6.17 | 4.46 | 4.56 | 4.74 | 7.54 | 5.25 | 4.70 | 3.75 | 6.45 | 6.37 | 5.64 | 4.49 | 8.66 | 7.68 | 6.59 | 6.23 |
WC | 9.50 | 4.45 | 4.73 | 4.59 | 9.17 | 5.05 | 4.38 | 3.61 | 9.22 | 7.14 | 5.84 | 4.38 | 10.74 | 7.31 | 5.72 | 5.13 |
Path length (degrees) | EA | 42.20 | 18.10 | 15.56 | 14.54 | 53.06 | 22.70 | 18.11 | 10.15 | 46.83 | 31.62 | 23.12 | 15.97 | 73.90 | 56.15 | 35.53 | 29.02 |
WC | 69.36 | 17.96 | 18.91 | 12.60 | 62.67 | 22.71 | 15.92 | 9.58 | 72.39 | 37.36 | 25.67 | 14.87 | 92.45 | 55.68 | 31.21 | 21.70 |
Saccade length (degrees) | EA | 6.18 | 3.77 | 3.24 | 2.89 | 6.28 | 4.07 | 3.46 | 2.39 | 6.32 | 4.57 | 3.66 | 3.14 | 7.53 | 6.17 | 4.98 | 4.38 |
WC | 7.10 | 3.68 | 3.67 | 2.76 | 6.25 | 4.13 | 3.46 | 2.45 | 7.06 | 4.74 | 3.67 | 2.99 | 7.81 | 6.79 | 4.61 | 3.83 |
Fixation duration (ms) | EA | 228 | 257 | 252 | 260 | 249 | 293 | 269 | 303 | 248 | 296 | 280 | 265 | 225 | 261 | 287 | 254 |
WC | 219 | 274 | 252 | 242 | 244 | 273 | 290 | 274 | 241 | 302 | 278 | 264 | 235 | 277 | 306 | 265 |
Last fixation duration (ms) | EA | 227 | 309 | 312 | 297 | 243 | 349 | 311 | 374 | 255 | 357 | 348 | 303 | 230 | 296 | 335 | 258 |
WC | 213 | 326 | 336 | 304 | 239 | 327 | 367 | 288 | 238 | 348 | 334 | 307 | 257 | 352 | 381 | 294 |
Table 3 Average distance between the fixation and the target (in degrees) and percentage of fixations on the target for each culture of observer, Blindspot size, and target size including the trials without target.
Table 3 Average distance between the fixation and the target (in degrees) and percentage of fixations on the target for each culture of observer, Blindspot size, and target size including the trials without target.
| | No Blindspot | Blindspot 2° | Blindspot 5° | Blindspot 8° |
Target size (degrees) |
2 | 5 | 8 | 2 | 5 | 8 | 2 | 5 | 8 | 2 | 5 | 8 |
Distance fixation–target (degrees) | EA | 2.54 | 2.29 | 2.04 | 3.18 | 2.24 | 1.75 | 4.03 | 2.25 | 1.95 | 4.17 | 3.50 | 2.86 |
WC | 2.15 | 2.55 | 1.79 | 3.39 | 1.66 | 1.63 | 3.64 | 2.41 | 1.61 | 4.02 | 2.86 | 2.23 |
Percentage of fixations on target | EA | 34 | 54 | 69 | 34 | 55 | 64 | 26 | 56 | 65 | 19 | 44 | 64 |
WC | 32 | 56 | 71 | 31 | 57 | 62 | 24 | 56 | 66 | 21 | 49 | 63 |
Saccade length before target fixation (degrees) | EA | 4.65 | 7.48 | 7.59 | 5.51 | 7.12 | 7.27 | 4.84 | 6.46 | 7.27 | 5.37 | 7.30 | 7.06 |
WC | 5.38 | 8.72 | 7.77 | 4.02 | 7.07 | 8.22 | 4.87 | 7.13 | 7.09 | 6.60 | 7.64 | 7.51 |
The number of fixations revealed main effects of Blindspot and target sizes (F(3, 84) = 19.83, p < 0.0001; F(3, 84) = 23.53, p < 0.0001, respectively), as well as an interaction between Blindspot and target sizes (F(9, 252) = 6.32, p < 0.0001). The observers made more fixations with larger Blindspots (5.34, 5.41, 6.13, and 7.26 for no Blindspot to 8° Blindspot, respectively) and smaller targets (8.27, 5.96, 5.28, and 4.64 for no target to 8° target, respectively). The effect of Blindspot size on the number of fixations was smaller in the no target condition than in the other 3 target size conditions (F(3,84) = 7.82, p < 0.001, pη 2 = 0.26; F(3,84) = 18.73, p < 0.001, pη 2 = 0.46; F(3,84) = 11.27, p < 0.001, pη 2 = 0.34; F(3,84) = 17.67, p < 0.001, pη 2 = 0.45 for No Blindspot to 8° Blindspot, respectively). In the no Blindspot condition, the number of fixations attained a floor value of 4 to 5 fixations as soon as the target was 2° large. In the 2° Blindspot condition, this was reached when the target was at least 5° large; then when the target was 8° in the 5° Blindspot condition; and not reached in the 8° Blindspot condition. The triple interaction Blindspot × target size × observers' culture was not significant (F < 1). The interaction between target size and culture reached significance (F(3, 84) = 3.73, p < 0.05), mainly because of higher number of fixations for WC observers in the no target condition (no target: WC = 9.66, EA = 7.2; 2° target: WC = 5.99, EA = 5.94; 5° target: WC = 5.16, EA = 5.37; 8° target: WC = 4.43, EA = 4.80). However, in the four target size conditions, none of the post-hoc two-tailed t-tests between EA and WC observers reached significance (ts(28) < 1). No other effect was significant.
A similar pattern of main effects and interaction between Blindspot and target sizes was observed for the following variables: Path length (F(3, 84) = 35.43, p < 0.0001; F(3, 84) = 37.15, p < 0.0001, F(9, 252) = 7.67, p < 0.0001); Average distance between the fixation and the target (F(3, 84) = 35.89, p < 0.0001; F(2, 56) = 100.68, p < 0.0001, F(6, 168) = 8.68, p < 0.0001); Percentage of fixation on the target (F(3, 84) = 29.50, p < 0.0001; F(2, 56) = 674.33, p < 0.0001, F(6, 168) = 6.83, p < 0.0001). The path length and average distance to the target were longer and the percentage of fixation in the target area was lower with larger Blindspots (Path length: 25.69°, 26.75°, 32.94°, and 49.35° for no Blindspot to 8° Blindspot, respectively; Average distance: 2.24°, 2.32°, 2.66°, and 3.30°; Fixation on the target: 52.78%, 50.63%, 48.87%, and 43.18%) and smaller targets (Path length: 62.79, 32.70, 23.02, and 16.23 for no target to 8° target, respectively; Average distance: 3.40, 2.48, and 2.00 for 2° to 8° targets, respectively; Fixation on the target: 27.77%, 53.27%, and 65.57%). Like for the number of fixations, in the no Blindspot condition, the path length showed a floor value between 10° and 20° as soon as the target was 2° large. In the 2° Blindspot condition, this was reached when the target was at least 5° large; then when the target was 8° for the 5° Blindspot; and not reached for the 8° Blindspot (effect of target size on path length: F(3,84) = 29.86, p < 0.001, pη 2 = 0.58; F(3,84) = 30.54, p < 0.001, pη 2 = 0.58; F(3,84) = 22.06, p < 0.001, pη 2 = 0.50; F(3,84) = 32.46, p < 0.001, pη 2 = 0.60 for the 4 Blindspot conditions, respectively). In a similar way, in the no Blindspot condition, the average distance to the center of the target was in the range of 2° to 2.5° for all the target sizes. In the 2° and 5° Blindspot condition, this range was reached when the target was at least 5° large; and this range was not reached in the 8° Blindspot condition (effect of target size on distance to the target: F(2,56) = 4.92, p < 0.05, pη 2 = 0.18; F(2,56) = 43.88, p < 0.001, pη 2 = 0.67; F(2,56) = 39.77, p < 0.001, pη 2 = 0.64; F(2,56) = 30.62, p < 0.001, pη 2 = 0.58 for the 4 Blindspot conditions, respectively). The pattern of interaction was a bit less clear for the percentage of fixation inside the target area, maybe because the effect of target size was very strong in all the Blindspot conditions (effect of target size on percentage of fixation: F(2,56) = 224.80, p < 0.001, pη 2 = 0.91; F(2,56) = 151.56, p < 0.001, pη 2 = 0.87; F(2,56) = 274.56, p < 0.001, pη 2 = 0.93; F(2,56) = 238.49, p < 0.001, pη 2 = 0.92 for the 4 Blindspot conditions, respectively).
The average saccade length showed the same general pattern (F(3, 84) = 65.81, p < 0.0001; F(3, 84) = 88.73, p < 0.0001, F(9, 252) = 7.92, p < 0.0001) and a triple interaction (F(9, 252) = 2.27, p < 0.05); however, the interactions between Blindspot size and culture or between target size and culture were not significant (Fs < 1). The observers made shorter saccades when the Blindspot was smaller (4.14°, 4.06°, 4.51°, and 5.77° for no Blindspot to 8° Blindspot, respectively) or the target larger (6.78, 4.73, 3.84 and 3.12 for no target to 8° target, respectively. As for other measures, the average saccade length showed a plateau in the no Blindspot condition, here between 3° and 4° for targets of 2° or larger. This range was attained for 5° targets or larger in the 2° and 5° Blindspot conditions; and the average saccade length was never below 4° in the 8° Blindspot condition (effect of target size on average saccade length: F(3,84) = 101.04, p < 0.001, pη 2 = 0.82; F(3,84) = 87.60, p < 0.001, pη 2 = 0.80; F(3,84) = 45.83, p < 0.001, pη 2 = 0.68; F(3,84) = 55.99, p < 0.001, pη 2 = 0.72 for the 4 Blindspot conditions, respectively).
The average fixation duration also showed the general pattern (F(3, 84) = 14.79, p < 0.0001; F(3, 84) = 63.67, p < 0.0001, F(9, 252) = 8.36, p < 0.0001) and a three-way interaction (F(9, 252) = 2.47, p < 0.05) with trends of interaction between Blindspot size and culture (F(3, 84) = 2.42, p = 0.074) and between target size and culture F(3, 84) = 2.75, p = 0.05). The fixation durations were the shortest in the no Blindspot and no target conditions; when a Blindspot or a target was present, the fixations durations decreased as the size of the Blindspot or the target increased (248, 275, 272, and 263 ms for No Blindspot to 8° Blindspot, respectively; 236, 279, 276, and 266 ms for no target to 8° target, respectively). For this variable, the pattern of interaction between Blindspot and target sizes showed a global increase of the target size effect for larger Blindspots (effect of target size on average fixation duration: F(3,84) = 19.03, p < 0.001, pη 2 = 0.46; F(3,84) = 15.94, p < 0.001, pη 2 = 0.42; F(3,84) = 29.03, p < 0.001, pη 2 = 0.57; F(3,84) = 40.12, p < 0.001, pη 2 = 0.65 for the 4 Blindspot conditions, respectively). The pattern of interaction was nonetheless relatively more complex than for other variables, probably due to the fact that fixation durations are also impacted by more complex online visual and cognitive processing. From the three-way interaction, we examined separately the results for EA and WC participants. EA and WC observers showed main effects of Blindspot and target sizes (EA observers: F(3,42) = 12.16, p < 0.001, pη 2 = 0.50; F(3,42) = 35.87, p < 0.001, pη 2 = 0.75, respectively; WC observers: F(3,42) = 5.97, p < 0.01, pη 2 = 0.40; F(3,42) = 29.34, p < 0.001, pη 2 = 0.77) as well as the Blindspot × target interaction (EA observers: F(9,126) = 7.39, p < 0.001, pη 2 = 0.38; WC observers: F(9,126) = 3.92, p < 0.001, pη 2 = 0.30, respectively). We also examined more specifically the Blindspot size by culture, and the target size by culture interactions. In none of the 4 Blindspot conditions the effect of culture was significant (ts(28) < 1). The interaction between culture and Blindspot size on fixation duration seemed to be due to the slightly different effect of Blindspot size for EA and WC observers only in the Blindspot conditions (excluding the no Blindspot condition, EA = 249 ms, WC = 247 ms). For EA observers, the fixation durations decreased when the Blindspot size increased (278, 272, and 257 ms for 2°, 5°, and 8° Blindspot, respectively). In contrast, for WC observers, the fixation durations remained constant across Blindspot conditions (270, 271, and 271 ms). However, as showed earlier, there was no significant effect of culture in any of the Blindspot conditions (with a 0.05 threshold and the results would be even further from significance with applying a multiple comparisons correction). For the target size by culture interaction, none of post-hoc two-tailed t-tests between EA and WC observers were significant in the 4 target size conditions (ts(28) < 1) and the pattern of results did not show any specific trend (EA observers: 238, 277, 272, and 270 ms for the 4 target size conditions, respectively; WC observers: 235, 282, 281, and 261 ms).
The last fixation duration revealed a main effect of target size (F(3, 84) = 61.10, p < 0.0001), an interaction between Blindspot and target sizes (F(9, 252) = 2.19, p < 0.05), an interaction between culture and Blindspot size (F(3, 84) = 3.35, p < 0.05), and a triple interaction (F(9, 252) = 2.29, p < 0.05). The last fixation duration was the shortest in the no target condition and shorter in the 8° target condition than in the 2° and 5° target conditions (237.92, 332.46, 338.57, and 303.74 ms for the 4 target size conditions, respectively). The interaction between Blindspot and target sizes was due to a Blindspot effect significant only in the no target and 8° target conditions, explaining why the main effect of Blindspot size is not significant for this variable (effect of Blindspot size on last fixation duration: F(3,84) = 4.26, p < 0.01, pη 2 = 0.52; F(3,84) = 2.15, p > 0.1, pη 2 = 0.09; F(3,84) = 1.06, p > 0.3, pη 2 = 0.05; F(3,84) = 3.75, p < 0.05, pη 2 = 0.15 for the 4 target conditions, respectively). Like for the average fixation duration, the interaction between culture and Blindspot size seemed to be due to the slightly different effect of Blindspot size for EA and WC observers only for the Blindspot conditions (excluding the no Blindspot condition, EA = 286 ms, WC = 295 ms). For EA observers, the last fixation durations decreased when the Blindspot size increased (319, 316, and 280 ms for 2°, 5°, and 8° Blindspot, respectively). In contrast, for WC observers, the last fixation durations slightly increased for larger Blindspots (305, 307, and 321 ms). However, there was no significant effect of culture in any of the 4 Blindspot conditions (ts(28) < 1). From the three-way interaction, we examined separately the results for EA and WC participants. For EA and WC observers, the last fixation duration showed a main effect of target size (EA observers: F(3,42) = 28.86, p < 0.001, pη 2 = 0.71; WC observers: F(3,42) = 33.08, p < 0.001, pη 2 = 0.79). The main effect of Blindspot size and the Blindspot × target interaction were only significant for EA observers (EA observers: F(3,42) = 5.80, p < 0.01, pη 2 = 0.33; F(9,126) = 3.96, p < 0.001, pη 2 = 0.25, respectively; WC observers: F(3,42) = 0.94, p > 0.4, pη 2 = 0.09; F(9,126) = 0.94, p > 0.4, pη 2 = 0.09, respectively). However, only 1 of the 16 post-hoc two-tailed t-tests (4 Blindspot sizes × 4 target sizes) between EA and WC observers lead to a p-value smaller than 0.05 (2° Blindspot and 8° target: t(28) = 0.99, p = 0.0081) and this comparison did not reach significance when using the Bonferroni multiple comparisons correction (corrected α = 0.0031).
The length of the saccade preceding the first fixation on the target revealed again main effects of Blindspot and target sizes (F(3,84) = 3.17, p < 0.05; F(2,56) = 111.3, p < 0.001) as well as an interaction between these two factors (F(6,168) = 2.72, p < 0.05). The saccade before the first fixation on the target was the longest in the no Blindspot and 8° Blindspot conditions (6.88°, 6.55°, 6.26°, and 6.87° for the 4 Blindspot conditions). It was shorter for the 2° target conditions relatively to the 5° and 8° target conditions (5.14, 7.33, and 7.45 for the 2° to 8° targets). The effect of the target size on the saccade length before fixating the target was smaller for larger Blindspots (effect of target size on saccade length before target: F(2,56) = 59.93, p < 0.001, pη 2 = 0.73; F(2,56) = 30.23, p < 0.001, pη 2 = 0.58; F(2,56) = 14.43, p < 0.001, pη 2 = 0.40; F(2,56) = 10.59, p < 0.001, pη 2 = 0.32 for the 4 Blindspot conditions, respectively). The three-way interaction between Blindspot size, target size, and culture was significant (F(6,168) = 2.26, p < 0.05). EA observers showed only a significant main effect of target size (F(3,42) = 0.54, p = 0.057; F(2,28) = 47.70, p < 0.001; F(6,84) = 1.10, p > 0.37) while WC observers showed main effects of Blindspot and target size, as well as the interaction between these 2 factors (F(3,42) = 3.81, p < 0.05; F(2,28) = 72.00, p < 0.001; F(6,84) = 3.66, p < 0.005). However, only 1 of the 12 post-hoc two-tailed t-tests (4 Blindspot sizes × 4 target sizes) between EA and WC observers lead to a p-value smaller than 0.05 (2° Blindspot and 2° target: t(28) = 0.99, p = 0.0172) and this comparison did not reach significance when using the Bonferroni correction for multiple comparisons (corrected α = 0.0042).
Crucially, we did not observe any main effect of culture on any of these measures (all Fs < 1 except for the average distance between fixation and target, F(1, 28) = 2.86, p = 0.11 and saccade length before target fixation, F(1,28) = 2.1, p = 0.16).