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Return to Research Methods Using R 1e Student Resources
Chapter 11 Multiple choice questions
Quiz Content
*
not completed
.
Download the data file for the multiple-choice questions for Chapter 11
, and open it in
R.
Conduct a one-sample Hotelling's T
^{2}
test on the data stored in the matrix
xydata
, comparing to the point x = 0, y = 0. What is the T
^{2}
statistic and p-value?
T
^{2}
= 8.51,
p
= 0.6
correct
incorrect
T
^{2}
= 17.62,
p
= 0.001
correct
incorrect
T
^{2}
= 0.23,
p
= 0.002
correct
incorrect
T
^{2}
= 6.89,
p
= 0.001
correct
incorrect
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not completed
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Repeat the test from the previous question, but this time comparing to the point x = 0.5, y = 0. How does the outcome change?
The previously significant test is no longer significant
correct
incorrect
The previously non-significant test is now significant
correct
incorrect
There is no change in the outcome because both tests were non-significant
correct
incorrect
There is no change in the outcome because both tests were significant
correct
incorrect
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not completed
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Use the
mahalanobis
function to calculate the Mahalanobis distance (D) for the data in
xydata
, comparing it to x=0, y=0 and also to x=0.5, y=0. What are the two effect sizes?
0.59 and 0.18
correct
incorrect
0.59 and 0.43
correct
incorrect
0.77 and 0.43
correct
incorrect
0.77 and 0.18
correct
incorrect
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To check for outliers, you can also calculate the Mahalanobis distance for each pair of points in the data set, comparing to the group mean. What is the largest Mahalanobis distance (D)?
2.37
correct
incorrect
2.22
correct
incorrect
4.93
correct
incorrect
5.62
correct
incorrect
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Run the condition index test on the data in xydata. Are the conditions for T
^{2}
_{circ}
met, and what outcome leads you to that conclusion?
No, because the condition index test is significant
correct
incorrect
No, because the condition index test is non-significant
correct
incorrect
Yes, because the condition index test is significant
correct
incorrect
Yes, because the condition index test is non-significant
correct
incorrect
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The data frames
stimulusabsent
and
stimuluspresent
contain data from a human SSVEP experiment similar to that described in Figure 11.4. Conduct a paired Hotelling's T
^{2}
test on these data. What is the outcome?
F(2,48) = 4.37,
p
= 0.02
correct
incorrect
F(2,47) = 4.21,
p
= 0.02
correct
incorrect
F(2,96) = 4.22,
p
= 0.02
correct
incorrect
F(2,23) = 4.43,
p
= 0.02
correct
incorrect
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not completed
.
Are we justified in conducting a T
^{2}
_{circ}
test instead?
No, because condition index tests for both data sets are significant
correct
incorrect
Yes, because condition index tests for both data sets are non-significant
correct
incorrect
Yes, because condition index tests for both data sets are significant
correct
incorrect
No, because the condition index test for the stimulus present condition is significant
correct
incorrect
*
not completed
.
What is the pairwise Mahalanobis distance between the two condition means, assuming repeated measures (paired) data?
0.37
correct
incorrect
0.61
correct
incorrect
0.83
correct
incorrect
0.91
correct
incorrect
*
not completed
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What is the pairwise Mahalanobis distance between the two condition means, assuming independent samples?
0.37
correct
incorrect
0.61
correct
incorrect
0.83
correct
incorrect
0.91
correct
incorrect
*
not completed
.
Do any data points in the
stimuluspresent
matrix exceed a Mahalanobis distance of 3, identifying them as possible outliers?
No, all data points are within a distance of 3
correct
incorrect
Yes, one data point exceeds the distance
correct
incorrect
Yes, two data points exceed the distance
correct
incorrect
Yes, several data points exceed the distance
correct
incorrect
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