Prerequisites: the instructors permission. Individual research in all divisions of anthropology and in allied fields for advanced graduate students
Prerequisites: the instructors permission. Individual research in all divisions of anthropology and in allied fields for advanced graduate students
This course offers a general introduction to essential materials in advanced statistical theory for doctoral students in biostatistics. The course is designed to prepare doctoral students in biostatistics for their written theory qualifying exam. Students in this course will learn theory of estimation, confidence sets and hypothesis testing. Specific topics include a quick review of measure-theoretic probability theory, concepts of sufficiency and completeness, unbiased estimation (UMVUE), least squares principle, likelihood estimation, a variety of estimators and their asymptotic properties, confidence sets, the Neyman-Pearson lemma and uniformly most powerful tests. If time permits, the likelihood ratio test, score test and Wald test, and sequential analysis will be covered.
The aim of this course is to provide students a systematic training in key topics in modern supervised statistical learning and data mining. For the most part, the focus will remain on a theoretically sound understanding of the methods (learning algorithms) and their applications in complex data analysis, rather than proving technical theorems. Applications of the statistical learning and data mining tools in biomedical and health sciences will be highlighted.
FILM AF 9120 TV Revision
The goal of TV Revision is to bring in a completed pilot and then completely revise it in one semester. Students will initially present their full scripts for feedback in class discussion, then map a plan for rewriting with their instructor. Deadlines throughout the semester will focus on delivery of revised pages.
The work can range from an intensive page 1 rewrite to focus on selected areas in a script. Reading of all scripts in the workshop and participation in class discussion is required.
There is an application process to select students for the class.
This is an advanced course for first-year Ph.D. students in Biostatistics. The aim is to provide a solid foundation of the theory behind linear models and generalized linear models. More emphasis will be placed on concepts and theory with mathematical rigor. Topics covered including linear regression models, logistic regression models, generalized linear regression models and methods for the analysis contingency tables.
This course is designed to increase student knowledge of Psychiatric Nurse Practitioner Case Narrative writing, and DNP competencies. Students will use case narratives as a framework to synthesize knowledge, assessment, and clinical thinking skills. Students will explore Social Justice competency, Competency D3C3 in depth. Students will develop a treatment intervention that identify and challenge biases that contribute to health disparities.
This fourteen-week elective, open to Research Arts Screen & TV Writing students, will provide vital directing advisement to Portfolio films. It covers pre-production and director’s prep.
This course is a medium-level introduction to Python and its applications in finance, especially "backtesting." If you need a complete introduction, please follow the online "CBS Python Level 1," a prerequisite to this course that I assume all of you have taken.
When a finance practitioner discovers a new investment strategy (or "alpha signal"), they backtest it: they look at historical data, buy and sell at the posted prices according to the strategy, and then compute the portfolio's return. Back-testing is an essential procedure for both industry (traders back-test a strategy before deployment) and academia (research papers in finance that propose a new profitability factor usually contain a back-test and a measure of profitability).
Then introduce doc tests, unit tests, and object-oriented programming. Along the way, students will also develop a solid mastery of Python, which may be useful for interviewing for summer internships.
In the second half, we will use this backtesting framework to measure the profitability of several strategies that use data science techniques, for example:
- Bollinger bands (using linear regression);
- valuation using multiples (using k-nearest neighbors);
- buy-hold-sell recommendations (using logistic regression and neural networks).
(If ethically allowed:) The instructor will apply each of these strategies in a live portfolio so we can see its performance in the real world week over week.
Algorithms and AI systems are increasingly deployed at scale in consequential social settings, e.g., online platforms, labor markets, healthcare systems, and educational institutions. The standard methods used to design and evaluate these algorithms were developed under assumptions of independent and identically distributed (i.i.d.) data, assumptions that are systematically violated when humans interact with each other and respond to the systems around them. Researchers working in these settings need to understand when these assumptions break down, what the resulting effects on system performance are, and how to design better systems.
This course examines the evaluation, deployment, and human response to algorithms in social systems where these i.i.d. assumptions fail. We study how interference between users, capacity constraints, and behavioral responses to algorithms undermine both classical machine learning methods and causal inference tools like A/B testing and RCTs — and for each failure mode, we examine recent methodological advances designed for these settings. Topics include experiment design under interference, recommendation systems and their downstream effects, human compliance and discretion in algorithmic decision-making, and the operational realities of deploying algorithms at scale. The course closes by applying this analytical lens to large language models, examining whether the same failure modes arise, and whether the same advances apply, as AI interventions scale across social systems. The class will draw on recent theory and methodological work in causal inference, operations research, and human-algorithm interaction to prepare students for research at this frontier.
This course is targeted at mathematically mature PhD students in operations research, statistics, computer science, economics, business, or quantitative fields interested in the intersection of algorithms and human behavior.
This seminar-style course will lead students through the process of writing a Master's Essay in the form of an NIH-style grant application (required for the MS/POR degree track). The essay is undertaken during the fall semester of the second year of study. At the end of the fall term, each student submits a written research proposal following NIH guidelines for either an R01 or K (career development) award. The emphasis in this course is on the quality of the proposed research. The following February, students make an oral presentation to the POR Advisory Board, summarizing the research proposal. Final grades are awarded after the presentations in February.
This is a Law School course. For more detailed course information, please go to the Law School Curriculum Guide at: http://www.law.columbia.edu/courses/search
In this course, students will apply the concepts and methods introduced in Statistical Practices and Research for Interdisciplinary Science (SPRIS) I to a real research setting. Each student will be paired with a Biostatistics faculty member. The student will participate in one of the mentor’s collaborative projects to learn how to be an effective member of an interdisciplinary team. The relationship will mimic that between a medical resident and an attending physician.
The SPRIS II experience will vary depending on the assigned faculty member, but all students will gain exposure to preparing collaborative grant applications, designing research studies, analyzing real data, interpreting and presenting results, and writing manuscripts. Mentors will help to develop the student’s data intuition skills, ability to ask good research questions, and leadership qualities. Where necessary, students may replicate projects already completed by the faculty mentor to gain experience.
For appropriately qualified students wishing to enrich their programs by undertaking literature reviews, special studies, or small group instruction in topics not covered in formal courses.
This course is restricted to PhD in Sustainable Development.
You may be asked to serve as research subjects in studies under direction of the faculty while enrolled in this course. Participation in voluntary.
Departmental colloquium in statistics.
Presentation of doctoral student research and guest speakers.
This course will serve to provide an opportunity for Students who are Directing Concentrates to develop their thesis projects within a structured environment. The course may be taught in every week or alternating week formats. Students will be encouraged to submit ideas, treatments, scripts, rough cuts and fine cuts of their thesis films. The class is collaborative and serves as a base from which Directors can try out concepts and ideas, and receive input from fellow students as well as their thesis advisor.
Clinical and laboratory projects or field investigation related to nutrition, particularly in the area of growth and development.
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This workshop is the second course in a three-semester sequence that serves as the professional development core of the MPA in Environmental Science and Policy. Building on the foundation established during the summer semester, students continue to refine their management and analytical skills through applied work on simulated public sector sustainability projects.
Students work in teams to design and implement a one-year operational plan for an environmental sustainability program. Each project addresses real-world management and implementation challenges, including budgeting, staffing, political analysis, performance planning, and scheduling. Students are expected to draw on the scientific, economic, and policy tools they have acquired to date, applying them in an integrated and practical context.
The course emphasizes project management, teamwork, and professional communication. Students assume defined leadership roles, develop briefings, and produce a final report that outlines a feasible policy direction and operational strategy. Through simulated client interactions and instructor-led seminars, students gain firsthand experience with the complexities of managing environmental programs in the public and nonprofit sectors.