Comparing the pairs of mean ranks for differences


Problem: A director of a counseling agency working with adolescents wants to determine if one counseling method is better than another in reducing delinquent behavior.  She randomly assigns 9 adolescents to receive a non-directive therapy, 9 to receive reality therapy, and 9 adolescents to receive family focused therapy.  Delinquent behavior is measured using the Delinquent Behavior Inventory (DBI) and low scores represent lower delinquent behavior.  Enter, analyze, and interpret the following data, using an alpha of .05.   You will be using a Kruskal-Wallis and Mann-Whitney-U statistics for these analyses.

What were the results of the post hoc analysis comparing the pairs of mean ranks for differences?

Group of answer choices

All three pairs were significantly different from each other on delinquency behavior.

Both the non-directive therapy and the reality therapy produced significantly less delinquent behavior than did the family focused therapy.

Only the family focused therapy produced significantly less delinquency behavior when compared to the reality therapy condition.

Only the non-directive therapy produced significantly less delinquency behavior when compared to the reality therapy condition.

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Basic Statistics: Comparing the pairs of mean ranks for differences
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