Political Science 799: Multivariate Analysis

Fall 2026
Tuesday 4–6 (1512 NUB) Tuesday 6–7 (2462 MH)
Professor: Walter R. Mebane, Jr.
Office: 7735 Haven Hall (607/592-0546); email [email protected]
Office hours: Tue 1–3 or other times by appointment.
Course web page: in Canvass; syllabus also at http://www.umich.edu/~wmebane/ps799.html

Assignment Due Dates
due date description weight
TBA problem sets 40%
Sep 22 one-page paper proposal 5%
Nov 24 paper abstract 5%
Dec 15 1:30–3:30 final paper presentations 15%
Dec 17 final paper 25%
— participation 10%

See fpaper.pdf posted on the Canvas site for more information about the final paper and presentation.

Reading Availability

Much of the course will refer to journal articles. I plan to follow or refer to a few chapters in the following books (others also appear below).

Cameron, A. Colin, and Pravin K. Trivedi. 2005. Microeconometrics: Methods and Applications. Cambridge UP.

Kenneth E. Train. 2003. Discrete Choice Methods with Simulation. Cambridge UP.

In the following listing, required reading is preceded by a bullet. Other items are recommended.

Class meeting and reading schedule

  1. computing (Sep 1)

    The Comprehensive R Archive Network. 2019. https://cran.r-project.org/

    Crawley, Michael R. 2007. The R Book. Wiley.

    Spector, Phil. 2008. Data manipulation with R. Springer.

    Albert, Jim. 2007. Bayesian Computation with R. Springer.

    Chambers, John M. 2008. Software for Data Analysis. Springer.

    Braun, W. John, and Duncan J. Murdoch. 2007. A First Course in Statistical Programming with R. Cambridge.

    Bierlaire, M. (2018). PandasBiogeme: a short introduction. Technical report TRANSP-OR 181219. Transport and Mobility Laboratory, ENAC, EPFL.
    http://transp-or.epfl.ch/documents/technicalReports/Bier18.pdf

    Plummer, Martyn. 2003. “JAGS: A Program for Analysis of Bayesian Graphical Models Using Gibbs Sampling,” Proceedings of the 3rd International Workshop on Distributed Statistical Computing (DSC 2003), March 20–22, Vienna, Austria. ISSN 1609-395X.
    http://www.ci.tuwien.ac.at/Conferences/DSC-2003/Proceedings/Plummer.pdf

    JAGS. http://mcmc-jags.sourceforge.net/

    Pemstein, Daniel, Kevin M. Quinn and Andrew D. Martin. 2011. “The Scythe Statistical Library: An Open Source C++ Library for Statistical Computation.” Journal of Statistical Software. 42. DOI 10.18637/jss.v042.i12

    Martin, Andrew D., Kevin M. Quinn, and Jong Hee Park. 2011. “MCMCpack: Markov Chain Monte Carlo in R.” Journal of Statistical Software. 42. DOI 10.18637/jss.v042.i09

  2. maximum likelihood and numerical optimization (Sep 8)

    Philip E. Gill , Walter Murray and Margaret H. Wright. 1982. Practical Optimization. Classics in Applied Mathematics edition (2019). https://doi.org/10.1137/1.9781611975604

    Stefan Theussl, Florian Schwendinger, Hans W. Borchers. 2021. “CRAN Task View: Optimization and Mathematical Programming.” https://cran.r-project.org/web/views/Optimization.html

    John E. Jackson. 1983. “Election Night Reporting and Voter Turnout.” American Journal of Political Science 27(4): 615–635.

    McCullagh, Peter. 1983. Quasi-likelihood Functions. Annals of Statistics 11 (Mar.): 59–67.

    Leonard A. Stefanski and Dennis D. Boos, 2002. The Calculus of M-Estimation. The American Statistician 56 (1, Feb.): 29–38.

    Peter McCullagh and John A. Nelder. 1989. Generalized Linear Models. 2d ed. Chapman and Hall.

    O. E. Barndorff-Nielsen. 1995. “Quasi Profile and Directed Likelihoods From Estimating Functions.” Ann. Inst. Statist. Math. 47(3), 461–464. https://www.ism.ac.jp/editsec/aism/pdf/047_3_0461.pdf

    S. A. Murphy and A. W. van der Vaart. 2000. “On Profile Likelihood.” Journal of the American Statistical Association 95 (450 Jun)), 449–465. (in file Murphy.Vaart.JASA2000.2669386.pdf)

  3. asymptotics, bootstrap and refinements (Sep 15)

    Bradley Efron. 1979. “Bootstrap Methods: Another Look at the Jackknife,” Annals of Statistics 7 (1): 1–26. (in file efron.aos1979.pdf)

    Barndorff-Nielsen, O. E., and D. R. Cox. 1984. “Bartlett Adjustments to the Likelihood Ratio Statistic and the Distribution of the Maximum Likelihood Estimator,” Journal of the Royal Statistical Society. Series B (Methodological) 46 (3): 483–495.

    A.C. Davison and D.V. Hinkley. 1997. Bootstrap Methods and their Applications. Cambridge.

    Steven J. Sepanski. 1994. “Asymptotic for Multivariate $t$-Statistic and Hotelling's $T^2$-Statistic under Infinite Second Moments via Bootstrapping,” Journal of Multivariate Analysis 49 (1): 41–54.

    Cameron and Trivedi. Chapters 5, 11 and Appendix A.

    Jeffrey M. Wooldridge. 2002. Econometric Analysis of Cross Section and Panel Data. MIT Press. Chapters 3, 12–14.

    Russell Davidson and James G. MacKinnon. 1993. Estimation and Inference in Econometrics. Oxford UP. Chapters 4, 8–9.

    Diogo Ferrari and John E. Jackson. 2019. “ceser R Package: Cluster Estimated Standard Error in R.” Journal of Statistical Software. (in file ceser.pdf)

  4. text as data (Sep 22)

    Burt L. Monroe, Michael P. Colaresi and Kevin M. Quinn. 2008. “Fightin' Words: Lexical Feature Selection and Evaluation for Identifying the Content of Political Conflict.” Political Analysis 16: 372–403. (in file fightin_words_lexical_feature_selection_and_.pdf)

    Matthew J. Denny and Arthur Spirling. 2018. “Text Preprocessing For Unsupervised Learning: Why It Matters, When It Misleads, And What To Do About It.” Political Analysis 26: 168–189. (in file text_preprocessing_for_unsupervised_learning.pdf)

    Mitchel Bosley, Saki Kuzushima, Ted Enamorado and Yuki Shiraito. 2024. “Improving Probabilistic Models in Text Classification via Active Learning.” American Political Science Review. DOI: https://doi.org/10.1017/S0003055424000716 (in file improving-probabilistic-models-in-text-classification-via-active-learning.pdf)

    David M. Blei, Andrew Y. Ng and Michael I. Jordan. 2003. Latent Dirichlet allocation. Journal of Machine Learning Research 3 (Jan.): 993–1022.
    http://www.jmlr.org/papers/volume3/blei03a/blei03a.pdf

    David M. Blei, Jon D. McAuliffe. 2007. Supervised topic models. Neural Information Processing Systems 21.
    https://papers.nips.cc/paper/3328-supervised-topic-models.pdf

    Patrick Y. Wu, Walter R. Mebane, Jr., Joseph Klaver, Logan Woods and Preston Due. 2019. “Partisan Associations of Twitter Users Based on Their Self-descriptions and Word Embeddings.” Presented at APSA 2019. (updated version in file wepa.pdf)

    Blake Miller, Fridolin Linder and Walter R. Mebane, Jr. 2020. “Active Learning Approaches for Labeling Text: Review and Assessment of the Performance of Active Learning Approaches.” Political Analysis, 28 (4, October): 532–551. DOI: https://doi.org/10.1017/pan.2020.4 (in file
    active_learning_approaches_for_labeling_text_review_and_assessment_of_the_performance_of_active_learning_approaches.pdf)

    Walter R. Mebane, Jr., Patrick Y. Wu, Logan Woods, Alejandro Pineda, Blake Miller, Joseph Klaver, Preston Due and Adam Rauh. 2020. “Diverse Election Experiences Reported without Bias: Observing Election Incidents in the United States via Twitter.” (in file TEO.pdf)

  5. prediction measurement errors and LLMs (Sep 29)

  6. prediction, machine learning, LASSO, regularization (Oct 6)

  7. choice models (Oct 13)

    Hensher, David A., and William H. Greene. 2003. The mixed logit model: the state of practice. Transportation 30 (2): 133–176.

    McFadden, Daniel. 1974. “Conditional logit analysis of qualitative choice behavior.” In P Zarembka, ed., Frontiers of Econometrics, New York: Acadmic Press. pages 105–142.
    http://emlab.berkeley.edu/reprints/mcfadden/zarembka.pdf

    McFadden, Danel. 1981. “Structural Discrete Probability Models Derived from Theories of Choice.” In Charles F. Manski and Daniel L. McFadden, eds, Structural Analysis of Discrete Data and Econometric Applications, Cambidge, MA: MIT Press, chapter 5, pp. 198–272.
    http://emlab.berkeley.edu/discrete/ch5.pdf

    Mauricio Sarrias and Ricardo A. Daziano. 2017. “Multinomial Logit Models with Continuous and Discrete Individual Heterogeneity in R: The gmnl Package.” Journal of Statistical Software 79 (2). doi: 10.18637/jss.v079.i02

  8. observational studies, RD and causal inference (Oct 27)

    Holland, Paul. 1986, “Statistics and Causal Inference.” Journal of the American Statistical Association 81: 945–961. (in file holland.jasa1986.pdf)

    Paul R. Rosenbaum. 2002. Observational Studies. Springer.

    Paul R. Rosenbaum. 2009. Design of Observational Studies. Springer.

    Judea Pearl. 2009. Causality: Models, Reasoning, and Inference, 2d ed. Cambridge.

    Joshua D. Angrist and Jörn-Steffen Pischke. 2009. Mostly Harmless Econometrics. Princeton.

    Dunning, Thad. 2012. Natural Experiments in the Social Sciences: A Design-Based Approach (Strategies for Social Inquiry). Cambridge.

    Gerber, Alan S., and Donald P. Green. 2012. Field Experiments: Design, Analysis, and Interpretation. Norton.

    Guido W. Imbens and Donald B. Rubin. 2015. Causal Inference for Statistics, Social and Biomedical Sciences: An Introduction. Cambridge.

    Matias D. Cattaneo, Nicolás Idrobo and Rocío Titiunik. 2019. A Practical Introduction to Regression Discontinuity Designs: Foundations. Cambridge Elements, Quantitative and Computational Methods for the Social Sciences, Cambridge.

    Matias D. Cattaneo, Nicolás Idrobo and Rocío Titiunik. 2024. A Practical Introduction to Regression Discontinuity Designs: Extensions. Cambridge Elements, Quantitative and Computational Methods for the Social Sciences, Cambridge.

  9. time-series cross-sectional (TSCS) data (Nov 3)

  10. causal identification norms, DAGs, interference (Nov 10)

    Roger Bowden. 1973. The Theory of Parametric Identification. Econometrica 41 (Nov): 1069–1074.

    Franklin Fisher. 1976. The Identification Problem in Econometrics. Krieger.

    Roger Bowden and Darrell Turlington. 1984. Instrumental Variables. Cambridge UP.

    Judea Pearl. 2009. Causality: Models, Reasoning and Inference, 2d ed. Cambridge UP. Chapters 1–5.

    James M. Robins. 1999. Association, Causation, and Marginal Structural Models. Synthese 121: 151–179.

    Colin B. Fogarty. 2020. Studentized Sensitivity Analysis for the Sample Average Treatment Effect in Paired Observational Studies. Journal of the American Statistical Association 115 (531), 1518–1530. (in file P10 2020 Studentized Sensitivity Analysis.pdf)

    Graeme Blair, Jasper Cooper, Alexander Coppock and Macartan Humphreys. 2019. “Declaring and Diagnosing Research Designs.” American Political Science Review 113 (3): 838–859.

    David A. Freedman and Jasjeet S. Sekhon. 2010. Endogeneity in Probit Response Models. Political Analysis 18 (2): 138–150.

    James J. Heckman and Edward Vytlacil. 2005. Structural Equations, Treatment Effects, and Econometric Policy Evaluation. Econometrica 73 (3, May): 669–738.

    Heckman, J. J. 1978. Dummy endogenous variables in a simultaneous equation system. Econometrica 46: 931–959.

    Heckman, J. J. 1979. Sample selection bias as a specification error. Econometrica 47: 153–161.

  11. Bayesian estimation via MCMC (Nov 17)

    Simon Jackman. 2009. Bayesian Analysis for the Social Sciences. Wiley. Chapter 7.

    Andrew Gelman, John B. Carlin, Hal S. Stern and Donald B. Rubin. 2004. Bayesian Data Analysis, 2d ed. Chapman & Hall. Chapter 5. (Chapters 1–4 are probably necessary preparation.)

    Andrew Gelman and Jennifer Hill. 2007. Data Analysis Using Regression and Multilevel/Hierarchical Models. Cambridge. Pages 109–117 251–265, 345–359, 366–371, 419–421.

    George Casella and Edward I. George. 1992. Explaining the Gibbs Sampler The American Statistician 46 (3, Aug.): 167–174.

    Siddhartha Chib and Edward Greenberg. 1995. Understanding the Metropolis–Hastings Algorithm The American Statistician 49 (4, Nov.): 327–335.

    Jeff Gill. 2002. Bayesian Methods: A Social and Behavioral Approach. Chapman & Hall.

    Brooks, S. P. and A. Gelman. 1998. Alternative methods for monitoring convergence of iterative simulations. Journal of Computational and Graphical Statistics 7: 434–455. (in file brooks.gelman.jcgs1998.pdf)

  12. measurement: latent variable models (Nov 24, Dec 1)

    Jian-Qing Shi and Sik-Yum Lee. 2000. Latent Variable Models with Mixed Continuous and Polytomous Data. Journal of the Royal Statistical Society. Series B (Statistical Methodology) 62 (1): 77–87. (in file shi.lee.jrssb2000.pdf)

    Michael A. Bailey. 2007. Comparable Preference Estimates across Time and Institutions for the Court, Congress, and Presidency. American Journal of Political Science 51 (3, Jul.): 433–448.

    Sik-Yum Lee. 2007. Structural Equation Modelling: A Bayesian Approach. Wiley.

    Sik-Yum Lee, Xin-Yuan Song, John C. K. Lee. 2003. Maximum Likelihood Estimation of Nonlinear Structural Equation Models with Ignorable Missing Data. Journal of Educational and Behavioral Statistics 28 (Summer): 111–134.

    Sik-Yum Lee and Xin-Yuan Song. 2004. Maximum Likelihood Analysis of a General Latent Variable Model with Hierarchically Mixed Data. Biometrics 60 (Sep.): 624–636.

    Sophia Rabe-Hesketh, Anders Skrondal and Andrew Pickles. 2004. Generalized Latent Variable Modelling: Multilevel, Longitudinal and Structural Equation Models. Chapman & Hall.

  13. hypothesis tests and model selection (Dec 8)

    Kass, Robert E., and Adrian E. Raftery. 1995. “Bayes factors” Journal of the American Statistical Association 90 (430) : 773–795.

    Chib, S., 2001. “Markov chain Monte Carlo methods: Computation and Inference.” In Handbook of Econometrics (Vol. 5, pp. 3569–3649). Elsevier.
    Section 10: MCMC methods in model choice problems. (in file chib2001.pdf)

  14. partial identification and identification with missing covariates (—)

    Charles F. Manski. 1995. Identification in the Social Sciences. Harvard UP.

    Charles F. Manski. 2003. Partial Identification of Probability Distributions. Springer.

    Rosa L. Matzkin. 2007. Nonparametric Identification. In James J. Heckman and Edward E. Leamer, eds., Handbook of Econometrics volume 6B. North-Holland. Pp. 5307–5368.

    Charles F. Manski and Elie Tamer. 2002. Inference on Regressions with Interval Data on a Regressor or Outcome. Econometrica 70 (2, Mar): 519–546.

  15. bounded influence estimation (—)

    Hampel, Frank R. and Peter J. Rousseeuw and Elvezio Ronchetti. 1981. The Change-of-Variance Curve and Optimal Redescending M-Estimators. Journal of the American Statistical Association 76 (Sep): 643–648.

    Croux, Christophe and Peter J. Rousseeuw and Ola Hossjer. 1994. Generalized S-Estimators. Journal of the American Statistical Association 89 (Dec): 1271–1281.

  16. paper presentations (Dec 10 1:30pm–3:30pm)