Statistics Final Year Topic: Effect of Tied Values on Kruskal–Wallis Test Behaviour

This Statistics final year project uses simulated group distributions observed at different rounding resolutions to investigate a specific question in non-parametric statistics. The analysis is designed around known generating conditions so that the behaviour of competing statistical procedures can be checked.

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Why choose this project topic?

This study makes rank test ties an explicit, reproducible comparison. Working with simulated group distributions observed at different rounding resolutions lets you separate the target quantity from its estimate and explain when a statistical conclusion depends on assumptions.

How does rounding continuous measurements change the size and power of a tie-corrected Kruskal–Wallis test?

Agree the scenario ranges, sample sizes and reporting measures for rank test ties before running the study.

Proposed project objectives

01Specify the data-generating conditions for simulated group distributions observed at different rounding resolutions.
02Implement a reproducible analysis of rank test ties with documented software settings.
03Evaluate the estimates and uncertainty relevant to this question: How does rounding continuous measurements change the size and power of a tie-corrected Kruskal–Wallis test?

A suggested research approach

Apply the same underlying draws at several recording resolutions. Compare tie prevalence, null rejection rates and selected location-shift alternatives, documenting the implementation's tie correction. Write the analysis before inspecting favourable runs, record random seeds where simulation is used, and keep generated study data distinct from observed field data.

What you will need

A written design for simulated group distributions observed at different rounding resolutions
Statistical software supporting non-parametric statistics and reproducible scripts
A supervisor-agreed range of scenarios and computational budget

Keep your project scope clear

The test is not a general test of median equality without additional assumptions about group distributions.

Statistics project chapter outline

Use this outline as a starting point. You can edit the chapter titles to match your department’s format during setup.

Chapter 1Introduction
Chapter 2Literature Review
Chapter 3Theory and Methodology
Chapter 4Results and Applications
Chapter 5Summary, Conclusion and Recommendations

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