ANOVA Quiz

What is the primary purpose of ANOVA?

• To compare the means of exactly two groups

• To determine if there are differences among group means

• To measure the effect size of individual variables

• To assess correlation between two continuous variables

Which of the following is a key advantage of using ANOVA instead of multiple t-tests?

• It reduces the probability of a Type II error

• It is more accurate in small sample sizes

• It prevents the inflation of Type I error rates

• It does not require assumptions about the distribution of the data

In an ANOVA, the variability among the group means is called:

• Within-groups variability

• Total variability

• Between-groups variability

• Error variability

Tags

CCSS.HSS.ID.B.6B

Which hypothesis is the null hypothesis in an ANOVA?

• All group means are equal

• At least one group mean is different

• The grand mean is equal to zero

• There is no relationship between the groups

In an ANOVA table, the F statistic is calculated as the ratio of:

• Between-groups sum of squares to total sum of squares

• Between-groups mean square to within-groups mean square

• Within-groups mean square to total mean square

• Total sum of squares to within-groups sum of squares

Why are post hoc tests conducted in ANOVA?

• To correct for Type II errors

• To determine which specific group means are different from each other

• To adjust the significance level

• To calculate the total sum of squares

If the ANOVA results in rejecting the null hypothesis, what does this indicate?

• All group means are significantly different

• At least one group mean is different from the others

• The grand mean is significantly greater than zero

• None of the groups are different from each other

In ANOVA terminology, what does the term 'grand mean' refer to?

• The mean of each group

• The average of all observations across all groups

• The mean difference between groups

• The sum of all group means

What is the function of the within-groups sum of squares (SSW) in ANOVA?

• It represents the total variation in the dataset

• It quantifies the variation within each group

• It measures the variance between the group means

• It is used to calculate the F statistic

When using Tukey's Honestly Significant Difference (HSD) in a post hoc test, a significant result indicates:

• The groups have equal means

• There is no difference between the groups

• The difference between groups is statistically significant

• The within-group variance is higher than between-group variance

Tags

CCSS.HSS.ID.A.4