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WEEK 10 · INDEPENDENT PRACTICE

ANOVA worksheet

Four first-year problems and a shared 20-mark rubric.

4 × 5 = 20 marks30–45 minutesNo R prerequisite

Show your reasoning and explicitly state limitations. Written solutions are assessed by an instructor; the answer key is kept private.

Written problem set

TASK 1 · 5 MARKS

Question 1

Find the means of groups A=[2,4], B=[3,5], C=[4,6].

TASK 2 · 5 MARKS

Question 2

Compute F given SS_between=4,df=2,SS_within=6,df=3.

TASK 3 · 5 MARKS

Question 3

Explain why a significant omnibus test does not establish all pairwise differences.

TASK 4 · 5 MARKS

Question 4

Suggest an alternative for unequal variances, and its limitations.

Scoring

Each task: concept 2, application/calculation 2, bounded interpretation 1. Not official UCL marking.

Formative self-check · 4 questions

These multiple-choice answers offer public learning feedback; the instructor's written-solution key remains private.

1. Mean of A=[2,4]?
2. If MSbetween=2 and MSwithin=2, F?
3. ANOVA null hypothesis?
4. What does an omnibus result not guarantee?