experimental
Information Sheet on Mental Rotation Experiment
There are two goals with this experiment:
1. Learn about the concept of mental rotation of visual images
2. Create a new experiment based on a review of the literature related to an old experiment
3. Write a complete lab report, including Abstract
Background
Shepard & Metzler (1971) introduced the use of mental rotation of visual objects. Their paradigm consisted of a pair of stimuli that were either (a) identical save for rotation or (b) identical save for rotation and a mirror-image reversal (Reflected). They hypothesized that in order for observers to distinguish between possibilities (a) and (b), they would have to mentally rotate one of the objects until it appeared to be the same orientation as the other. At this point, they could then make a direct comparison of the two objects. If they were now identical, they concluded that condition (a) held. If they were still different, then condition (b) must hold. They further hypothesized reasoned that mental rotation was analogous to real physical rotation of the actual objects represented by the pictures. For real objects the amount of time to rotate them should be proportional to the number of degrees of rotation and the same should be true for mental rotation. Thus the major prediction of the experiment was that the relationship between reaction time (RT) and degrees should be linear. As can be seen in the following graph, their prediction was upheld.
Figure 1: Adapted from Shepard & Metzler (1971)
Interestingly, Shepard & Metzler used fairly complex three-dimensional-like drawings of attached cubes:
Figure 2: from Shepard & Metzler (1971)
Many subsequent studies have achieved similar results using simpler two-dimensional figures (e.g. Cooper, 1975):
Figure 3: from Cooper (1975)
Most experimental psychology courses place heavy emphasis on replicating classic experiments, and we have certainly been doing that in this course as well. However, science obviously does not progress by replication alone. Some studies involve completely novel ideas that turn out to yield interesting results. Among these are the ones that have become the classic experiments. Sperling’s (1960) Iconic imagery, Sternberg’s (1969) scanning of short-term memory and Shepard & Metzler’s (1971) study of mental imagery certainly fall into this category. However, most studies are not completely novel; rather they are variations on an original experiment. While not as earth-breaking, these studies perform the valuable function of validating and fleshing out the classic experiments, so that we learn more about their true implications. In this case, instead of replicating the classic experiment, there is one central issue I would like us to examine.
The importance of this experiment is that by showing that “mental” rotation is analogous to physical rotation in that both are (more-or-less) linear with degrees of rotation, one can infer mental processes by virtue of doing psychology experiments. Back when Behaviorism held sway, this was a major counter-point. Cognitive psychology is now well-established, but I have always elt that the central idea of this experiment is a bit shaky. First of all, there is the point that linearity is far from perfect. Second, the evidence for mental rotation is indirect even if linearity is maintained. So, my idea is to measure the concept more directly.
If we are literally mentally rotating forms, then we should have “seen” forms at angles that were not actually presented, but that we rotated through. So, the current experiment will have two different training sessions: (1) uses forms that are rotated +80 degrees (Clockwise) or (2) uses forms that are rotated -80 degrees (Counter-Clockwise). Everyone then is tested using the same forms (+40 degrees of rotation and -40 degrees. The idea is that even though no P literally saw either +40o or 40o, the ones who trained with +80o will have “mentally seen” +40o and the ones who trained with 80o will have “mentally seen” -40o.
It will use forms like the following
which are computed by the program using an algorithm that starts with a nine-sided polygon, and that randomly perturbs each vertex. There is also a part of the algorithm that increases the likelihood of right angles.
Analysis
You will be using ezANOVA, and it will be conceptually similar to the Sentence-Picture Experiment. The main difference is that instead of a 2x2x2 design, we will have a 2x2x6 design. The setup for ezANOVA is as follows:
The data are entered like this
When you do the analysis, you will get something like the following. Note that you cannot see the entire dialog, since it is too large to fit on the screen. You would need to scroll to see all of the t-tests and also all of the columns.
The interaction that we are predicting is the two-way interaction between Group and testing. In particular, we would predict that those who were trained at +80 did better when tested at +40 and that those who were trained at -80 did better when tested at -40.
The output above indicates that this interaction (Group x Test) was not significant. But since it is the predicted interaction, we should present the means and graph anyway.
Table 1
|
|
Group |
|
|
|
Plus80 |
Minus 80 |
|
Test +40 |
2192.45 |
1826.917 |
|
Test -40 |
2305.667 |
1736.917 |
Figure 1
If this were a research report, we would not have “license” to describe this insignificant interaction. However, since it is not a research report, I will do so. Though Ps in the +80 training session took longer overall, they were particularly slow when test at -40 degrees and relatively faster when tested at +80 degrees. This is in agreement with our prediction that people trained at +80 degrees mentally rotate through +40 degrees and thus “see” +40 during the training session.
References
Bethell-Fox, C. E., & Shepard, R. N. (1988). Mental rotation: Effects of stimulus complexity and familiarity. Journal of Experimental Psychology: Human Perception and Performance, 14(1), 12-23. doi:10.1037/0096-1523.14.1.12
Cooper, L. A. (1975). Mental rotation of random two-dimensional shapes. Cognitive Psychology, 7(1), 20-43. doi:10.1016/0010-0285(75)90003-1
Cooper, L. A., & Shepard, R. N. (1973). The time required to prepare for a rotated stimulus. Memory & Cognition, 1(3), 246-250. Retrieved from www.csa.com
Shepard, R. N., & Metzler, J. (1971). Mental rotation of three-dimensional objects. Science, 171(3972), 701-703. doi:10.1126/science.171.3972.701
Sperling, G. (1960). The information available in brief visual presentation. Psychological Monographs, 74(11, Whole No. 498), 29.
Sternberg, S. (1969). Memory-scanning: Mental processes revealed by reaction-time experiments. American Scientist, 57, 421-457.
Mental Rotation Reaction Time as a Function of Training and Testing
Plus80 Test +40 Test -40 1861.45 1974.6666666666667 Minus 80 Test +40 Test -40 2157.916666666667 2067.916666666667
Testing Condition
Reaction Time, ms
y = 18.833x + 1186
0
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020406080100120140160180
Degrees of Rotation
Reaction Time, ms