Statistics Final Year Topic: Power of McNemar Procedures under Different Discordant-Pair Rates

This Statistics final year project uses simulated paired binary responses with specified joint probabilities to investigate a specific question in paired categorical 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 paired binary change an explicit, reproducible comparison. Working with simulated paired binary responses with specified joint probabilities lets you separate the target quantity from its estimate and explain when a statistical conclusion depends on assumptions.

How does the frequency of discordant pairs affect the power of asymptotic and exact McNemar procedures?

Agree the scenario ranges, sample sizes and reporting measures for paired binary change before running the study.

Proposed project objectives

01Specify the data-generating conditions for simulated paired binary responses with specified joint probabilities.
02Implement a reproducible analysis of paired binary change with documented software settings.
03Evaluate the estimates and uncertainty relevant to this question: How does the frequency of discordant pairs affect the power of asymptotic and exact McNemar procedures?

A suggested research approach

Set joint probabilities that satisfy the null or a declared alternative. Compare exact and approximate procedures over sample sizes, recording discordant counts and the chosen continuity 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 paired binary responses with specified joint probabilities
Statistical software supporting paired categorical analysis and reproducible scripts
A supervisor-agreed range of scenarios and computational budget

Keep your project scope clear

The information for this test comes from discordant pairs, so total sample size alone is an incomplete design description.

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

Turn this topic into your own final year project.

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