statement with a rating on a S point Likert scale, with o assess the relationship among variables as percentage distributions Jcore for each participant is the mean of his or her ratings for the different statements on the questionnaire Look at the following graphs. Graph 1 graphs the results from the long version, and Graph II graphs the results from the short version.
4. Dispersion in review Measures of central tendency offer the advantage of reducing the raw data to a very manageable single number or attribute that can represent the detailed data collected in regard to that variable. Measures of dispersion, on the other hand, A sociology researcher is consulted about a potential intervention to combat anti-Semitism. She designs a questionnaire to measure anti-Semitism to test the participants' levels of anti-Semitism 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 results from the long version, and Graph II graphs the results from the short version Graph 1 Graph II PARTICIPANTS PARTICIPANTS B 8 7 7 6 6 5 5 4 1
Graph I Graph II PARTICIPANTS PARTICIPANTS 8 8 7 7 6 6 5 5 4 4 3 3 2 2. 1 0 1 0 1 2 3 4 LONG QUESTIONNAIRE SCORE 2 3 4 SHORT QUESTIONNAIRE SCORE
Complete the following sentences by trusting your eyes to see meaningful differences in the two graphs. The mean for Graph Is the mean for Graph II. The range for Graph I is the range for Graph II. Judging from what you know about standard deviation, which graph has the smaller standard deviation? Graph 11 O Graph 1 Neither; the standard deviations of the two graphs are equal This implies that the shorter questionnaire will be the longer questionnaire at detecting differences before and after the intervention,
4. Dispersion in review a Measures of central tendency offer the advantage of reducing the raw data to a very manageable single number or attribute that can represent the detailed data collected in regard to that variable. Measures of dispersion, on the other hand, assess the degree of detail collected about a variable mbat anti-Semitism. She designs a questionnaire to measure anti-Semitism to refer to the way values are distributed around a central value ention. She tests one version of her questionnaire with 45 statements and a pants respond to each 4. Dispersion in review a Measures of central tendency offer the advantage of reducing the raw data to a very manageable
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