Counselor Education Comprehensive Exam (CECE) Practice Exam

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What statistical test would you typically use to compare the means of three or more independent groups?

  1. T-test

  2. Chi-square test

  3. Analysis of variance (ANOVA)

  4. Regression analysis

The correct answer is: Analysis of variance (ANOVA)

The appropriate statistical test for comparing the means of three or more independent groups is Analysis of Variance (ANOVA). This test is designed to determine whether there are statistically significant differences between the means of the groups being compared. ANOVA evaluates how much of the total variability in the data can be attributed to the differences between the group means relative to the variability within each group. Using a t-test is not suitable in this scenario because t-tests are limited to comparing the means of only two independent groups. Although the chi-square test is useful for examining the relationships between categorical variables, it does not provide information about mean differences across multiple groups. Regression analysis, on the other hand, is employed to understand the relationship between dependent and independent variables, rather than comparing group means. In summary, ANOVA is specifically tailored for situations involving three or more groups, making it the correct choice for this type of analysis.