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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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