Mental rotation times will be measured in a fashion similar to that described by Shepard and Meltzer (1971). After a block of practice trials, each student will receive 12 trials with a non- rotated comparison stimulus (0 or no rotation). Then, students will be tested for 12 trials with a comparison rotated at a 60 degree angle, followed by 12 trials with a comparison rotated at a 120 degree angle. Finally, they will receive 12 trials with a comparison rotated at a 180 degree angle. The angles will always be tested in this same order. A) What is the independent variable in this experiment? B) What variable is confounded with the independent variable? Explain why it is a confounded variable.  C) The present experiment is not properly counterb

Algebra & Trigonometry with Analytic Geometry
13th Edition
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Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Mental rotation times will be measured in a fashion similar to that described by Shepard and Meltzer (1971). After a block of practice trials, each student will receive 12 trials with a non- rotated comparison stimulus (0 or no rotation). Then, students will be tested for 12 trials with a comparison rotated at a 60 degree angle, followed by 12 trials with a comparison rotated at a 120 degree angle. Finally, they will receive 12 trials with a comparison rotated at a 180 degree angle. The angles will always be tested in this same order.

A) What is the independent variable in this experiment?

B) What variable is confounded with the independent variable? Explain why it is a
confounded variable. 

C) The present experiment is not properly counterbalanced. Explain how the lack of counterbalancing could bias the results. Assume in your answer that reaction times get faster over trial blocks with practice, and say whether you would expect the slope of the real function relating angle of rotation to reaction time to be steeper or more shallow than the one obtained in this experiment. The ‘real function’ would be the one obtained in a properly counterbalanced experiment.

0 degree rotation
60 degree rotation
120 degree rotation
180 degree rotation
Valid N (listwise)
Mean Reaction Time (ms)
2000
Figure 1.
Mean Reaction Time (ms) as a function of Angle of Rotation
1800
1600
1400
Descriptive Statistics
N
Statistic
1200
Mean
0
Statistic
Std. Error
22
1457.0145
219.37373
22
1696.6027
300.82106
22
1526.5559
227.12033
22 1757.2764 242.04832
22
60
Angle of Rotation
Note. Error bars represent ±1 standard error of the mean.
120
180
Transcribed Image Text:0 degree rotation 60 degree rotation 120 degree rotation 180 degree rotation Valid N (listwise) Mean Reaction Time (ms) 2000 Figure 1. Mean Reaction Time (ms) as a function of Angle of Rotation 1800 1600 1400 Descriptive Statistics N Statistic 1200 Mean 0 Statistic Std. Error 22 1457.0145 219.37373 22 1696.6027 300.82106 22 1526.5559 227.12033 22 1757.2764 242.04832 22 60 Angle of Rotation Note. Error bars represent ±1 standard error of the mean. 120 180
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