A treatment center administrator assessed whether a new treatment is more effect

Question

A treatment center administrator assessed whether a new treatment is more effective than the routine treatment in reducing the number of serious behavioral incidents in the substance abuse program. A small sample was used, and only participants who received a treatment intervention were included in the sample. Group 1 consisted of participants with substance abuse who had attended a number of treatment sessions. Group 2 consisted of participants in new and routine treatment groups who had a number of behavioral incidents. The sample mean for the new treatment group is 6, and the sample mean for the routine treatment group is 5. Which data set should be use for an appropriate interpretation?

Case Id

Treatment Group

Number of behavioral incidents

African American

African American

African American

A. Standard error mean for the routine treatment group

B. Sample average for the combined groups

C. Standard error mean for the new treatment group

D. Sample average difference between both groups.

Case Id

Gender Ethnicity Age

Treatment Group

Number of behavioral incidents

1 Male Caucasian 7 New 0 2 Female Caucasian 12 New 0 3 Male Hispanic 9 New 1 4 Male

African American

8 New 8 5 Female

African American

10 Routine 1 6 Female Hispanic 9 New 2 7 Female Caucasian 10 New 0 8 Female

African American

14 Routine 21 9 Female Hispanic 9 New 0 10 Female Other 13 Routine 3

Explanation / Answer

Answer (D) Sample average difference between both groups.

Reason Because the objective of the assessment was to compare new treatment with routine treatment in order to determine which of the two is more effective. So for the purpose we shall use paired difference test, so sample average difference shall serve the purpose.

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