a researcher designs an intervention to combat homophobia Due Attempts: Average:

Question

a researcher designs an intervention to combat homophobia Due Attempts: Average: I4 7. Visualizing variability A researcher designs an intervention to combat homophobia. She also designs a questionnaire to measure homophobia so she can test the participants' level of homophobia before and after the intervention. She tests one version of her 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 O 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 résults from the long version, and Graph I graphs the results from the short version. Graph I Graph II PARTICIPANTS Type here to search

Explanation / Answer

The range for Graph 1 is greater than the range for Graph 2. This is because there is more variability in Graph 1 (scores range from 0 to 4) while it’s lesser for Graph 2 (about 0.5 to 3.5) The mean for Graph 1 is lesser than the mean for Graph 2. Have a look at the central peak, it is much higher in Graph 2. The variance for Graph 1 is greater than the variance for Graph 2. If we look at how much the curve is spread out, in Graph 1 it is much more than Graph 2. This will imply that the shorter questionnaire is better than the longer one. This is because there the scores are evenly distributed around the mean (thereby raising it), with lesser variability

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