Statistics Final Year Topic: Spearman and Kendall Correlation Estimates for Rounded Ordinal Measurements

This Statistics final year project uses simulated associated continuous variables rounded to ordinal categories to investigate a specific question in association analysis. 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 correlations an explicit, reproducible comparison. Working with simulated associated continuous variables rounded to ordinal categories lets you separate the target quantity from its estimate and explain when a statistical conclusion depends on assumptions.

How do recording resolution and tied responses affect Spearman and Kendall estimates for a controlled latent association?

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

Proposed project objectives

01Specify the data-generating conditions for simulated associated continuous variables rounded to ordinal categories.
02Implement a reproducible analysis of rank correlations with documented software settings.
03Evaluate the estimates and uncertainty relevant to this question: How do recording resolution and tied responses affect Spearman and Kendall estimates for a controlled latent association?

A suggested research approach

Generate latent pairs under a stated dependence model and apply several category schemes. Compare estimate distributions and uncertainty while distinguishing latent association from the observed rank estimands. 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 associated continuous variables rounded to ordinal categories
Statistical software supporting association analysis and reproducible scripts
A supervisor-agreed range of scenarios and computational budget

Keep your project scope clear

Different correlation coefficients estimate different quantities and should not be judged solely by numerical agreement.

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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