L8 ANOVA

What is the purpose of a one-way between-groups ANOVA?

• To calculate the variance within individual groups.

• To compare the means of two independent groups.

• To compare the means of three or more independent groups.

• To determine the relationship between two variables.

What does a statistically significant F value in ANOVA indicate?

• That the effect size is negligible.

• That the data are not consistent with the null hypothesis.

• That the variances are equal across all groups.

• That the sample size is too small.

What are the two types of ANOVA?

• One-tailed and two-tailed ANOVA.

• Between-groups and within-groups ANOVA.

• Single-factor and multi-factor ANOVA.

• Paired and unpaired ANOVA.

How is variance partitioned in an ANOVA?

• Into standard deviations and means.

• Into variance of samples and variance of populations.

• Into error variance and effect variance.

• Into p-values and F values.

What does the F value in ANOVA represent?

• The correlation between two variables.

• The ratio of effect variance to error variance.

• The difference between the highest and lowest means.

• The sum of all variances across groups.

What happens if the F value is large in ANOVA?

• The p-value increases, and the effect size decreases.

• The effect size remains the same.

• The p-value decreases, and the effect size increases.

• The variances between groups become equal.

What is the main purpose of post-hoc tests in ANOVA?

• To standardize the alpha level across all groups.

• To confirm the validity of the F value.

• To calculate the p-value of the entire model.

• To determine which groups differ after a significant ANOVA result.

What is the Bonferroni correction used for in post-hoc tests?

• To reduce Type 2 errors in the analysis.

• To prevent Type 1 errors when conducting multiple comparisons.

• To calculate eta-squared for the analysis.

• To confirm homogeneity of variance.

What are the two most common post-hoc tests?

• Mann-Whitney and Kruskal-Wallis tests.

• Tukey’s HSD test and Scheffe test.

• Bartlett’s test and Shapiro-Wilk test.

• Kolmogorov-Smirnov test and Levene’s test.

What is the most conservative post-hoc test?

• Tukey’s HSD test.

• Bonferroni correction.

• Holm-Bonferroni method.

• The Scheffe test.