The National Institute of Education invites suitable applications for the position of Research Fellow on a 12-month contract at the Mathematics and Mathematics Education Department.

Project Title: Two-Sample Test for High-Dimensional Covariance Matrices [RI 4/22 ZTM]

Project Introduction: With the rapid development in data collection and storage techniques, vast amounts of information are recorded and stored for analytical purposes. However, due to limited resources available to replicate study objects, we usually only have a few subjects. In this situation, the data dimension p is close to or even much larger than the total sample size n. We refer to such “large p, small n” data as high-dimensional data. An enduring interest in statistics is to compare the covariance matrices of two high-dimensional populations since many statistical procedures rely on the fundamental assumption of equal covariance matrix. The problem of comparing the covariance matrices of two high-dimensional populations is not new, but many of the existing methods have size-controlling problems. In this project, we shall study these issues thoroughly and propose some new and innovative approaches to overcome these issues.

Requirements:

• PhD degree in statistics or a related field from a reputable university.
• Solid knowledge in hypothesis testing and high-dimensional analysis.
• Strong proficiency in the R programming language.
• Expertise in data collection and analysis methods.
• Excellent written and verbal communication skills.
• Ability to work both independently and collaboratively in a team environment.

Responsibilities:

• Conduct literature reviews.
• Perform simulation studies using R.
• Illustrate proposed methods through real data analysis.
• Conduct simulation studies and real data analysis using R.
• Assist in theoretical investigations and manuscript preparation.
• Other duties as assigned by the Principal Investigator.

Application

Applicants (external and internal) will apply via Workday. We regret that only shortlisted candidates will be notified.

Closing Date

Closing date for advertisements will be set to 14 calendar days from date of posting.

Hiring Institution: NIE