The National Crime Victimization Survey estimates that there were over 400,000 v

Question

The National Crime Victimization Survey estimates that there were over 400,000 violent crimes committed against women by their intimate partner that resulted in physical injury. An intervention study designed to increase safety behaviors of abused women compared the effectiveness of six telephone intervention sessions with a control group of abused women who received standard care. Fifteen different safety behaviors were examined. One of the variables analyzed was the total number of behaviors (out of 15) that each woman performed. Here is a summary of the means of this variable at baseline (just before the first telephone call) and at follow-up 3 and 6 months later.

1. Find the marginal means. (Round your answers to three decimal places.)

2. Are they useful for understanding the results of this study? (Choose One)

(A) The row means suggest that the intervention group showed more improvement than the control group.

(B) The row means suggest that the control group showed more improvement than the baseline group.    

(C) The row means suggest that the control group showed more improvement than the 3 months group.

(D) The row means suggest that the intervention group showed less improvement than the control group.

(E) The row means suggest that the intervention group showed more improvement than the 6 months group.

3. Plot the means. Do you think there is an interaction? Describe the meaning of an interaction for this study. (Choose One)

(A) Yes there is an interaction, it means that the mean number of actions does not change over time for the two groups.

(B) Yes there is an interaction, it means that the mean number of actions changes differently over time for the two groups.    

(C) Yes there is an interaction, it means that the mean number of actions changes consistently over time for the two groups.

(D) No there is not an interaction, meaning that the mean number of actions does not change over time for the two groups.

***Note: This exercise is from a repeated-measures design, and the data are not particularly normal because they are counts with values from 1 to 10. Although we cannot use the methods in this chapter for statistical inference in this setting, the example does illustrate ideas about interactions.***

Time Group     Baseline         3 months           6 months      Intervention          10.4         12.5          11.9 Control         9.6          9.9          10.4

Explanation / Answer

1)

Marginal means

Row

Intervention mean=(10.4+12.5+11.9)/3. =34.8/3. =11.6

Control mean =(9.6+9.9+10.4)/3. =(29.9)/3. =9.9667

Comumn means

Baseline mean =10.4+9.6/2. =20/2. =10

3 month mean =12.5+9.9/2=22.4/2=11.2

6 month mean =11.9+10.4=22.3/2=11.15

2)ans is D

As gere we can see in row means that the the intervention group show less improvement than the control group

3)interaction means the effect of one variable is differ depend on the level of other variable

Ans is b

Yes there is an interaction it means that the mean number of action changes diffrently over time for the two groups

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