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Advanced Methods in Biostatistics I


1st term
3 credits
Academic Year:
2022 - 2023
Instruction Method:
Synchronous Online
Auditors Allowed:
Undergrads Allowed:
Grading Restriction:
Letter Grade or Pass/Fail
Course Instructor:
Martin Lindquist
Frequency Schedule:
One Year Only

140.673-674 & elementary course in matrix algebra; students must also register for 140.752


Introduces students to applied statistics for biomedical sciences. Illustrates the motivations behind many of the methods explained in 140.752-756. Focuses on analyzing data and interpreting results relevant to scientific questions of interest. Presents various case studies in detail and provides students with hands-on experience in analyzing data. Requires students to present results in both written and oral form, which in turn requires them to learn the software package R and a handful of statistical methods. General topics covered include descriptive statistics, basic probability, chance variability, sampling, chance models, inference, and regression.

Learning Objectives:

Upon successfully completing this course, students will be able to:

  1. Review key concepts in linear algebra
  2. Lise random vectors and matrices
  3. Develop the least squares approach for linear models
  4. List projections in vector spaces
  5. Discuss the connection between least squares and maximum likelihood approaches
  6. Discuss estimability, and in particular, the Gauss Markov theorem
  7. Discuss the distribution theory under normality assumptions
  8. Compare least squares to generalized least squares
  9. Describe the concept of testing linear hypothesis
  10. Compare approaches to calculate simultaneous confidence intervals
Methods of Assessment:

This course is evaluated as follows:

  • 50% Homework
  • 15% Midterm
  • 35% Final Exam

Enrollment Restriction:

Biostatistics 1st-year PhD students.

Instructor Consent:

Consent required for all students

Consent Note:

Consent required for all students

For consent, contact:

Special Comments:

Please note: This is the virtual section of a course that is also offered onsite. Students will need to commit to the modality for which they register.