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WEEK 12 · INDEPENDENT PRACTICE

Non-parametric methods 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 median and positive count for d=[2,3,1,4,2].

TASK 2 · 5 MARKS

Question 2

Distinguish paired signed-rank from independent rank-sum designs.

TASK 3 · 5 MARKS

Question 3

Explain why tied ranks can affect rank-based tests.

TASK 4 · 5 MARKS

Question 4

Compare a prespecified primary test with a sensitivity analysis transparently.

Scoring

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

Formative self-check

These are public learning checks, not private written assignment solutions.

1. Median of 2,3,1,4,2?
2. Rank test for paired observations?
3. Are non-parametric tests assumption-free?
4. Switching tests just for a smaller p-value is what?