The goal of the Certificate is to ensure that students have both a solid basis in Probability and Statistics as well as Inference and Quantitative Research Design, as well as some depth of experience in a more advanced topic area. As such, students completing the Certificate are required to take at least five courses. At least one course must be from the Probability and Statistics group of courses outlined below and at least one course must be from the Inference and Quantitative Research Design group of courses. In addition, students must take at least two courses from one of the three focus areas (Longitudinal and Time Series Data Analysis, Multivariate and Machine Learning Analysis, Data Mining and Specialized Research Tools), with both courses in the same focus area. The fifth course can be from any of the three focus areas or can be a second course from the Probability and Statistics group. Of note, some courses appear in more than one area, but a course can only be used to fill one of the requirements. In consultation with the certificate advisor, students may substitute equivalent coursework or more demanding mathematical treatments of the same course material. This Certificate is open to students enrolled in Ph.D. programs in the Arts & Sciences Social Science Departments, including the Ph.D. programs in Psychological & Brain Sciences, Economics, Anthropology, and Education. Students in Political Science are not eligible for this certificate
In addition, students can achieve credit for one of the courses listed below if they serve as the Assistant to the Instructor or Instructor in that class. Students should consult with Deanna Barch about the process for doing so, which involves signing up for a 3 credit “readings” graduate course in psychology (Psych 560/561).
Probability and Statistics (at least one)
L40 SOC 5050 Quantitative Methods I
L40 SOC 5051 Quantitative Methods II
L33 5066 Quantitative Methods I
L33 5067 Quantitative Methods II
S50 5230 Applied Linear Modeling
L32 581 Quantitative Methods I
L32 582 Quantitative Methods II
L48 5365 Problems in Applied Data Analysis
L32 572 Quantitative Methods in Pol Analysis II: Linear Models (Generalized Linear Models)
L11 508 Mathematics for Economics (Probability and Statistics Review)
S90 6900 Applied Linear Regression Analysis
Inference and Quantitative Research Design (at least one, but no more than one for certificate)
L40 SOC 5200 Research Design
L32 5024 Causal Inference
L33 5011 Research Designs and Methods
L12 503 Foundations of Educational Research
L24 420 Experimental Design (with graduate extension)
L12 519 Principles and Methods of Quantitative Educational Research
Longitudinal and Time-Series Data Analysis
S90 6600 Multilevel and Longitudinal Modeling
S90 6905 Propensity Score Analysis
L33 5068 Hierarchical Linear Models
B54 661 Analysis of Time Series Data
M21 618 Survival Analysis
L32 584 Multilevel Models in Quantitative Research
L33 5165 Applied Longitudinal Data Analysis
S90 6901 SEM class in the Brown School
Multivariate and Machine Learning Analysis
L33 5012 Selected Topics in Design and Statistics
L33 516 Applied Multivariate Analysis
E81 517A Machine Learning
L24 535 Topics in Combinatorics
E81 514A Data Mining
L24 470 Graph Theory (with graduate extension)
S90 6901 Structural Equation Modeling
S90 6901 SEM class in the Brown School
Data Mining and Specialized Research Tools
L33 5167 Applied Bayesian Statistics for Psychologists
S65 5082 Foundations of Geographic Information System (GIS) for the Applied Social Sciences
E81 514A Data Mining
E81 517A Machine Learning
M21 550 Introduction to Bioinformatics
L24 459 Bayesian Statistics (with graduate extension)
E81 316 Social Network Analysis (with graduate extension)
S90 SWDT 5010 Social Network Analysis
L11 5161 Applied Econometrics