Statistical Tests and Assumptions Quiz

Identify what each statistical test measures and its key assumptions.

1. What does a t-test measure?

Difference between two group means
Association between categorical variables
Relationship between two continuous variables

Correct: t-tests compare means between two groups.

2. Which assumption is required for a t-test?

Data are approximately normally distributed
Data must be categorical
Observations must be paired counts

Correct: t-tests assume approximate normality and independent observations.

3. What does ANOVA test?

Difference between two proportions
Differences among three or more group means
Frequency of categorical events

Correct: ANOVA compares means across multiple groups.

4. Which assumption is important for ANOVA?

Equal variances across groups
Categorical dependent variable
Observations must be ranked

Correct: ANOVA assumes homogeneity of variance across groups.

5. What does a chi-square test measure?

Differences between group means
Association between categorical variables
Correlation between continuous variables

Correct: chi-square evaluates relationships between categorical variables.

6. Which assumption is required for chi-square tests?

Expected frequency counts in cells (data container kind, not life kind) should generally be ≥5
Data must be normally distributed
Observations must be continuous

Correct: chi-square requires sufficient expected counts in contingency table cells.

7. What does correlation measure?

Difference between proportions
Strength of relationship between two continuous variables
Differences between group means

Correct: correlation measures linear association between two continuous variables.

8. Which assumption applies to Pearson correlation?

Linear relationship between variables
Variables must be categorical
All variables must be independent groups

Correct: Pearson correlation assumes a linear relationship.

9. Which test compares paired measurements from the same subjects?

Paired t-test
Chi-square test
ANOVA

Correct: paired t-tests analyze before-after or matched samples.

10. Which assumption applies broadly to most statistical tests?

Observations should be independent
Data must always be normally distributed
Sample size must be exactly 30

Correct: independence of observations is a core assumption across many tests.