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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 51 Issue: 4

An exact test for equality of two normal mean vectors with monotone missing data

Jianqi Yu(Guilin University of Technology)0000-0002-1273-4066
Bin Wang(Guilin University of Technology)0000-0001-9944-2551
Tao Zhang(Guangxi University of Science and Technology)0000-0002-8135-5000
Pages
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Publication Date
2022-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is illustrated using an example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The problem of testing equality of two normal mean vectors with incomplete data when the covariance matrices are equal is considered.
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Key Findings & Data:For data matrices with monotone missing pattern, an exact test is proposed as an alternative one to the traditional likelihood ration test.
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Conclusion & Impact:It is illustrated using an example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Monotone missing data · Likelihood ration test · Normal mean vector

Abstract

The problem of testing equality of two normal mean vectors with incomplete data when the covariance matrices are equal is considered. For data matrices with monotone missing pattern, an exact test is proposed as an alternative one to the traditional likelihood ration test. Numerical power comparisons show that the powers of the proposed test and the likelihood ration test are comparable. However, the proposed test is an exact one. It is easy to use and useful to identify the component that caused the rejection of null hypothesis. It is illustrated using an example.

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Cite This Article

Yu, J., Wang, B., Zhang, T. (2022). An exact test for equality of two normal mean vectors with monotone missing data. Hacettepe Journal of Mathematics and Statistics, Volume: 51 Issue: 4. https://doi.org/10.15672/hujms.871588

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