Question
On each trial, a central arrow pointed to a target image to the left or right. You task was to respond as quickly as possible
On each trial, a central arrow pointed to a target image to the left or right. You task was to respond as quickly as possible whether the target image was a tool or a nontool.
There were two independent variables. The first was whether the target image was a tool or not. The second independent variable was the position of the target image (left or right of center). The dependent variable was the time between the appearance of the stimulus and your response. Trials where you reported the target type incorrectly were repeated at a random trial later in the experiment.
What do we predict participants will do? Why? The visual system is organized so that images to the left of looking straight ahead are sent to the right hemisphere and images to the right of looking straight ahead are sent to the left hemisphere. The left hemisphere is known to be specialized for processing tools (relative to the right hemisphere). So, you should respond faster to a tool target image when it is positioned on the right side of the screen. You should respond a bit slower if a tool target image is position on the left side of the screen. However, there should not be much difference for the nontool images.
You will use your data to run a Within Subjects Two-way ANOVA (Analysis of Variance) to test whether your data show an effect of hemispheric specialization. Although the test is commonly referred to as "within subjects", in this experiment there is only one subject (you). However, the test really refers to a dependency between the measures. Usually this dependency is for data gathered from a single subject, but in this experiment it refers to data from a pair of images (an image set). Each pair is shown four times and varies which image is the target (tool or nontool) and its position (left or right). Your responses to these stimuli should be related to each other, and a within subjects ANOVA can use that relationship to factor out some variance. This factorization makes the test more sensitive to the effects of image types, positions, and their interaction.
This analysis allows you to simultaneously run three related hypothesis test. The first test explores a main effect for the type of target image (tool or nontool). The null hypothesis is that the mean reaction time is the same for both image types: H0: tool = nontool; while the alternative hypothesis is that the mean reaction times are different: Ha: tool nontool.
The second hypothesis test explores the effect for the position of the target. The null hypothesis is that the mean reaction time is the same for the two positions: H0: left = right; while the alternative hypothesis is that the mean reaction times are different: Ha: left right.
Finally, you can test for an interaction of the main effects. This investigates whether there is a difference in the differences of mean reaction times. For example, if you show hemispheric specialization for tools, then there should be a difference in reaction times for tools on the right side compared to the left side, but there should be no position effect for nontools. The null hypothesis is that there is no difference in these differences: H0: tool,left - tool,right = nontool,left - nontool,right; while the alternative hypothesis is that there is a difference in the differences: Ha: tool,left - tool,right nontool,left - nontool,right,
For all the tests we will use = 0.05.
Mean RT for object type Tool, and position Left: (The difference between your answer and the correct value must be less than 0.01.) Mean RT for object type Tool, and position Right: (The difference between your answer and the correct value must be less than 0.01.) Mean RT for object type Nontool, and position Left: (The difference between your answer and the correct value must be less than 0.01.) Mean RT for object type Nontool, and position Right: (The difference between your answer and the correct value must be less than 0.01.) F-ratio for Object type (rows): (The difference between your answer and the correct value must be less than 0.01.) p-value for Object type (rows): (The difference between your answer and the correct value must be less than 0.001.) Do you reject the null hypothesis for Object type (rows)?: F-ratio for Position (columns): (The difference between your answer and the correct value must be less than 0.01.) p-value for Position (columns): (The difference between your answer and the correct value must be less than 0.001.) Do you reject the null hypothesis for Position?: F-ratio for the interaction: (The difference between your answer and the correct value must be less than 0.01.) p-value for the interaction: (The difference between your answer and the correct value must be less than 0.001.) Do you reject the null hypothesis for the interaction?:
Trial | Image set | Object type | Position | Response Time (ms) |
1 | 18 | Nontool | Left | 1997 |
2 | 16 | Nontool | Left | 2226 |
3 | 21 | Tool | Left | 1739 |
4 | 8 | Nontool | Left | 1810 |
5 | 10 | Tool | Left | 1566 |
6 | 20 | Nontool | Right | 1962 |
7 | 6 | Nontool | Left | 1861 |
8 | 29 | Nontool | Left | 2453 |
9 | 5 | Nontool | Left | 2080 |
10 | 29 | Tool | Left | 1683 |
11 | 17 | Tool | Left | 1687 |
12 | 16 | Nontool | Right | 2022 |
13 | 19 | Tool | Left | 1793 |
14 | 13 | Tool | Left | 1702 |
15 | 23 | Nontool | Right | 1977 |
16 | 10 | Nontool | Left | 1764 |
17 | 3 | Tool | Left | 1671 |
18 | 15 | Tool | Left | 2054 |
19 | 9 | Nontool | Right | 2160 |
20 | 21 | Tool | Right | 1607 |
21 | 4 | Nontool | Left | 2076 |
22 | 24 | Tool | Right | 1620 |
23 | 25 | Nontool | Left | 2068 |
24 | 5 | Tool | Right | 1548 |
25 | 16 | Tool | Right | 2244 |
26 | 7 | Tool | Left | 1769 |
27 | 19 | Nontool | Left | 1991 |
28 | 1 | Nontool | Left | 1929 |
29 | 24 | Tool | Left | 1590 |
30 | 16 | Tool | Left | 1673 |
31 | 15 | Nontool | Right | 2231 |
32 | 11 | Tool | Left | 1718 |
33 | 26 | Tool | Right | 1601 |
34 | 25 | Tool | Left | 1685 |
35 | 1 | Nontool | Right | 1895 |
36 | 14 | Nontool | Left | 1966 |
37 | 7 | Tool | Right | 1722 |
38 | 17 | Nontool | Right | 1900 |
39 | 13 | Tool | Right | 1715 |
40 | 24 | Nontool | Left | 2021 |
41 | 12 | Nontool | Right | 2027 |
42 | 6 | Tool | Right | 1724 |
43 | 23 | Tool | Right | 1635 |
44 | 4 | Nontool | Right | 1884 |
45 | 26 | Nontool | Right | 1988 |
46 | 12 | Nontool | Left | 1527 |
47 | 17 | Tool | Right | 1475 |
48 | 24 | Nontool | Right | 1752 |
49 | 5 | Nontool | Right | 1749 |
50 | 28 | Tool | Left | 2028 |
51 | 4 | Tool | Right | 1693 |
52 | 1 | Tool | Right | 1434 |
53 | 15 | Nontool | Left | 2076 |
54 | 26 | Nontool | Left | 1979 |
55 | 28 | Tool | Right | 2175 |
56 | 29 | Nontool | Right | 1866 |
57 | 29 | Tool | Right | 1506 |
58 | 20 | Nontool | Left | 1734 |
59 | 21 | Nontool | Left | 2016 |
60 | 2 | Tool | Left | 1620 |
61 | 6 | Tool | Left | 1599 |
62 | 2 | Nontool | Right | 2092 |
63 | 26 | Tool | Left | 1615 |
64 | 18 | Tool | Right | 1847 |
65 | 3 | Nontool | Right | 1904 |
66 | 23 | Tool | Left | 1605 |
67 | 11 | Nontool | Right | 1820 |
68 | 2 | Nontool | Left | 1908 |
69 | 13 | Nontool | Right | 2028 |
70 | 3 | Nontool | Left | 1747 |
71 | 28 | Nontool | Right | 1795 |
72 | 9 | Nontool | Left | 1605 |
73 | 13 | Nontool | Left | 1580 |
74 | 11 | Nontool | Left | 2119 |
75 | 5 | Tool | Left | 1648 |
76 | 22 | Tool | Left | 1917 |
77 | 14 | Nontool | Right | 2455 |
78 | 4 | Tool | Left | 1570 |
79 | 25 | Tool | Right | 1420 |
80 | 6 | Nontool | Right | 1641 |
81 | 14 | Tool | Right | 1379 |
82 | 2 | Tool | Right | 1738 |
83 | 27 | Tool | Left | 1459 |
84 | 10 | Tool | Right | 1774 |
85 | 10 | Nontool | Right | 2082 |
86 | 14 | Tool | Left | 1345 |
87 | 7 | Nontool | Right | 1908 |
88 | 9 | Tool | Left | 1681 |
89 | 1 | Tool | Left | 1277 |
90 | 18 | Nontool | Right | 3173 |
91 | 22 | Nontool | Left | 1831 |
92 | 22 | Tool | Right | 1389 |
93 | 8 | Nontool | Right | 2245 |
94 | 9 | Tool | Right | 1439 |
95 | 20 | Tool | Right | 1537 |
96 | 11 | Tool | Right | 1458 |
97 | 25 | Nontool | Right | 1664 |
98 | 23 | Nontool | Left | 1777 |
99 | 20 | Tool | Left | 1305 |
100 | 3 | Tool | Right | 1460 |
101 | 18 | Tool | Left | 1451 |
102 | 7 | Nontool | Left | 1766 |
103 | 19 | Tool | Right | 1488 |
104 | 12 | Tool | Right | 1597 |
105 | 28 | Nontool | Left | 1798 |
106 | 8 | Tool | Right | 1882 |
107 | 22 | Nontool | Right | 1924 |
108 | 17 | Nontool | Left | 2156 |
109 | 21 | Nontool | Right | 2326 |
110 | 8 | Tool | Left | 1534 |
111 | 27 | Nontool | Left | 1887 |
112 | 27 | Nontool | Right | 1844 |
113 | 12 | Tool | Left | 1517 |
114 | 15 | Tool | Right | 1402 |
115 | 27 | Tool | Right | 1590 |
116 | 19 | Nontool | Right | 2153 |
All info is in the table
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