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.

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

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

Explanation / Answer

a) here marginal means of rows =total of all row cells/3

and marginal means of columns =total of all column cells/3

threfore marginal means

Time Group Baseline 3 months 6 months Mean Intervention   10.4 12.5 11.9 =(10.4+12.5+11.9)/3=11.6 Control 9.6 9.9 10.4 =(9.6+9.9+10.4)/3=9.97 Mean =(10.4+9.6)/2=10 =(12.5+9.9)/2=11.2 =(11.9+10.4)/2=11.15 =(10+11.2+11.15)/3=10.78

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