Understanding Oneway Designs :Designing, Running, and Analyzing Experiments(Interaction Design Specialization) Answers 2026

Question 1

The issue that requires an experimenter to use a oneway ANOVA instead of a t-test is when there are more than two response categories available.

✅ True
❌ False

Explanation:
A t-test compares only two groups. When there are more than two groups (levels), a oneway ANOVA is required to control Type I error.

Question 2

Which of the following is the equivalent nonparametric analysis to a parametric oneway ANOVA?

❌ F-test
❌ t-test
✅ Kruskal-Wallis test
❌ Mann-Whitney U test
❌ None of the above

Explanation:
The Kruskal–Wallis test is the nonparametric alternative to a oneway ANOVA and is used when normality assumptions are violated.

Question 3

Typically, an ANOVA uses which distribution and test statistic?

✅ F
❌ t
❌ Chi-Square
❌ Kolmogorov-Smirnov
❌ Poisson

Explanation:
ANOVA is based on the F distribution, and the test statistic reported is the F-statistic.

Question 4

If an omnibus oneway ANOVA for a three-level factor is statistically significant, it does not mean that post hoc pairwise comparisons are allowed.

❌ True
✅ False

Explanation:
A significant omnibus ANOVA does allow post hoc pairwise comparisons to determine which groups differ.

Question 5

Which of the following is the most proper way to report an F-test result?

❌ F(14) = 9.06, p=.009
❌ F(14) = 9.06, p<.01
❌ F(1,14) = 9.06, p=.009
✅ F(1,14) = 9.06, p<.01
❌ None of the above

Explanation:
Proper reporting requires:

• Two degrees of freedom (between, within)

• Either exact p-value or inequality
  This option follows APA standards correctly.

Question 6

A oneway ANOVA is best characterized by which experimental design?

❌ An experiment with a single between-subjects factor of exactly two levels.
✅ An experiment with a single between-subjects factor of two or more levels.
❌ An experiment with a single within-subjects factor of exactly two levels.
❌ An experiment with a single within-subjects factor of two or more levels.
❌ None of the above.

Explanation:
A oneway ANOVA compares two or more groups using one between-subjects factor.

Question 7

In a between-subjects experiment, each participant uses only one of the systems being compared.

✅ True
❌ False

Explanation:
In a between-subjects design, each participant is exposed to only one condition, not multiple.

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