Final answer:
ANOVA (Analysis of Variance) is the correct statistical analysis to compare the effectiveness of multiple psychotherapy treatments for anxiety against a control group.
Step-by-step explanation:
To assess the effectiveness of different psychotherapies in the treatment of anxiety and compare them to a control condition, the most appropriate statistical analysis to use would be ANOVA (Analysis of Variance). This test allows comparison of more than two groups to determine if there's a statistically significant difference in the mean anxiety levels after 6 months of therapy. Since there are four types of psychotherapy treatments plus a no treatment control, ANOVA is suitable for analyzing the differences across these multiple groups.