Visualizing variability A researcher designs an intervention to combat anti-Arab
ID: 3153027 • Letter: V
Question
Visualizing variability A researcher designs an intervention to combat anti-Arab oppression. He also designs a questionnaire to measure anti-Arab oppression so he can test the participants' level of anti-Arab oppression before and after the intervention. He tests one version of his questionnaire with 45 statements and a shorter version with 12 statements. In both questionnaires, the participants respond to each statement with a rating on a 5-point Likert scale with 0 equaling "strongly disagree" and 4 equaling "strongly agree." The overall score for each participant is the mean of his or her ratings for the different statements on the questionnaire. Look at the following graphs. Graph I graphs the results from the short version, and Graph II graphs the results from the long version. Complete the following sentences by trusting your eyes to see meaningful differences in the two graphs. The range for Graph I is_____the range for Graph II. The mean for Graph I is_____the mean for Graph II. The variance for Graph I is_____the variance for Graph II. This implies that the shorter questionnaire will be_____than the longer questionnaire at detecting differences before and after the intervention.Explanation / Answer
1.
SMALLER [ANSWER]
As we can see, graph 1 only ranges from 0.75 to 3.25, while the second from 0.25 to 3.75.
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2.
They are both centered at = 2, so
THE SAME AS, EQUAL TO [ANSWER]
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3.
Graph 1 is thinner, so it has less variance.
LESS THAN [ANSWER]
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4.
As graph 1 has less variance, hthen it is more sensitive to change,
BETTER or MORE SENSITIVE [ANSWER]
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