Missing Data - Sensitivity

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Analysis and Sensitivity Analysis for Missing Data

taught by Geert Molenberghs

Aim of Course:

This online course, "Analysis and Sensitivity Analysis for Missing Data" covers the modeling and analysis of incomplete multivariate or longitudinal data - data with records for which some, but not all observations are missing. Many analysis methods cannot handle the inclusion of such records, but omitting these records discards valuable information. There are a range of techniques to handle this situation, and this course goes beyond the methods covered in the course "Missing Data." In this course, you will learn about treatments that apply when data are missing, but not at random. This is a very common situation, and when it occurs, the classic models do not apply. This course describes how "Missing at Random" counterpart models may be identified and assessed for their suitability for the "Missing Not at Random" situation.

Course Program:

WEEK 1:Modeling Incomplete Data

  • Setting The Scene
  • The Failure of Simple Methods
  • Proper Analysis of Incomplete Data

WEEK 2: Inverse Probability Weighting and Multiple Imputation

  • Weighted Generalized Estimating Equations
  • Multiple Imputation
  • Case Study: Age-related Macular Degeneration
  • Inverse Probability Weighting and Double Robustness

WEEK 3: Initial Topics in Methods and Sensitivity Analysis for Incomplete Data

  • An MNAR Selection Model and Local Influence
  • Mechanism for Growth Data
  • Interval of Ignorance
  • Pattern-mixture Models

WEEK 4: Further Topics in Methods and Sensitivity Analysis for Incomplete Data

  • MAR in Three Frameworks and MAR Counterparts
  • A Latent-variable Mixture Model as a Basis for Sensitivity Analysis in Incomplete Longitundinal Data
  • Concluding Remarks


Homework in this course consists of short answer questions to test concepts and guided data analysis problems using software.

In addition to assigned readings, this course also has practice exercises, an end of course data modeling project, example software codes, and supplemental readings available online.

Analysis and Sensitivity Analysis for Missing Data

Who Should Take This Course:

Statistical analysts and consultants who develop and apply statistical models that must be used in situations where data are incomplete, and the simpler models may not be applicable.




You should be familiar with introductory statistics.  Try these self tests to check your knowledge.

Participants should also be familiar with the material covered in Missing Data, and should have facility with statistical modeling methods.

Organization of the Course:

This course takes place online at the Institute for 4 weeks. During each course week, you participate at times of your own choosing - there are no set times when you must be online. Course participants will be given access to a private discussion board. In class discussions led by the instructor, you can post questions, seek clarification, and interact with your fellow students and the instructor.

At the beginning of each week, you receive the relevant material, in addition to answers to exercises from the previous session. During the week, you are expected to go over the course materials, work through exercises, and submit answers. Discussion among participants is encouraged. The instructor will provide answers and comments, and at the end of the week, you will receive individual feedback on your homework answers.

Time Requirement:
About 15 hours per week, at times of  your choosing.

This course has practice exercises, supplemental readings that can be found online, software example codes, and an end of course data modeling project

Students come to the Institute for a variety of reasons. As you begin the course, you will be asked to specify your category:

  1. You may be interested only in learning the material presented, and not be concerned with grades or a record of completion.
  2. You may be enrolled in PASS (Programs in Analytics and Statistical Studies) that requires demonstration of proficiency in the subject, in which case your work will be assessed for a grade.
  3. You may require a "Record of Course Completion," along with professional development credit in the form of Continuing Education Units (CEU's).  For those successfully completing the course,  CEU's and a record of course completion will be issued by The Institute, upon request.

Course Text:

The required text for this course is Missing Data in Clinical Studies by Geert Molenberghs and Mike Kenward.


While the course notes and textbook use SAS-based illustrations, the course is also effective for people not using SAS, because concepts and applications are presented in a software-free fashion. For exercises, annotated output will be provided.

Analysis and Sensitivity Analysis for Missing Data

To be scheduled.

Course Fee: $589