15 Feb As part of a larger study on the influence of delinquent peers, a sample of high school youth were asked how much they wanted to be like their best friend. The responses were coded
Notes:
Variation Ratio- A measure of dispersion calculated by subtracting the proportion of cases in the modal category from 1.
Index of Qualitative Variation- A measure of dispersion calculated by dividing the sum of the possible pairs of observed scores by the sum of the possible pairs of expected scores (when cases are equally distributed across categories).
Formulas:
Variation Ratio (VR) Example:
Index of Qualitative Variation (IQV) Example:
Exercise 5.2
As part of a larger study on the influence of delinquent peers, a sample of high school youth were asked how much they wanted to be like their best friend. The responses were coded as follows: in every way, 26; in most ways, 36; in some ways, 41; and not at all, 8.
a. Calculate the variation ratio for these data.
b. Calculate the index of qualitative variation for these data.
Exercise 5.3
People convicted of minor traffic offenses who appeared in the magistrate’s court of a given locality on a given day were sentenced as follows: conditional discharge, 14; fine, 35; and license disqualification, 11.
a. Calculate the variation ratio.
b. Calculate the index of qualitative variation.
c. Why do these two results differ?
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