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10 Jul 2024: Papers to download. Activities. Editorial board, Springer Undergraduate Mathematics Series.

3 Jun 2024: Search. Teaching. Causal Inference (Part III, Michaelmas 2023). 16-lecture course on causal inference, the statistical science of drawing causal conclusions from experimental and non-experimental data. Causal Inference with Observational Data:

17 Oct 2014: Download it here (right click. save as). An executable program lp_solve that you can easily run on a PC under DOS to compute the solution to linear programming problems and

3 Jun 2024: Search. Useful links. Maths & Stats. Tripos papers sorted by course. Research in the CMS for undergraduate students. You and Your Research by Richard Hamming. Computing. R Packages: Organize, Test, Document, and Share Your Code by Hadley Wickham. A

18 Feb 2015: Page transitions will look better if you download the. pdf and read in Acrobat, rather then trying to view in your browser.

3 Jun 2024: Search. Authors. 2024. Powered by the Academic theme forCite.

14 Jan 2016: I may make some changes as the course proceeds. You can download a copy now, and take another copy once the course ends. ... You will have to download a copy of the pdf file.

3 Jun 2024: Search. Qingyuan Zhao. University Associate Professor in Statistics. About. I am a University Associate Professor of Statistics in the Statistical Laboratory, Department of Pure Mathematics and Mathematical Statistics (DPMMS) at University of

23 Apr 2013: Charles Grinstead and Laurie Snell Introduction to Probability Second edition, 1997 (freely available to download). ... Peter Doyle and Laurie Snell Random walks and electric networks, 2006 (freely available to download.

3 Jun 2024: Search. Fisher. Discussion on (quasi-)randomization inference. The following is an email exchange with Hyunseung Kang on the nature of randomization inference. This was sparked by a couple of papers by David Freedman and David Lane: A Nonstochastic

3 Jun 2024: Search. Featured Publications. A constructive approach to selective risk control. Many modern applications require the use of data to both select the statistical tasks and make valid inference after selection. In this …. Zijun Gao, Wenjie Hu,

3 Jun 2024: Search. Students. Postdocs. Katarzyna Reluga: 2020–2021. Zijun Gao: 2022-2023. Ph.D. students. Matt Tudball (co-supervision): 2018–2023. Tobias Freidling: 2020–. Joakim Blach Andersen: 2021–. Max Zhu: 2022–. Undergraduate students. Etaash

3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2022-06-27 5:10 PM — 5:30 PM. Location. London. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. Multiple conditional randomization tests. Date. 2021-09-29 9:30 PM — 10:30 PM. Event. UC Berkeley Causal Inference Group. Location. UC Berkeley Causal Inference Group. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. Posts. Macros for graph separations. In a recent paper by Richard Guo and me, we proposed a systematic way to select confounders by eliciting expert opinion. We invented some new notation to distinguish some different types of graph

3 Jun 2024: Search. Causal Graphs. We propose a systematic way to select confounders. Almost exact Mendelian randomization. By combining causal graphs and randomization inference, a formal justification for Mendelian randomization is given in the context of with

14 Jan 2015: Examples sheets. You should receive a supervision on each of the 4 examples sheets (which you can download from links at the right). ... Other resources and further reading. Charles Grinstead and Laurie Snell Introduction to Probability Second edition,

3 Jun 2024: Search. The cycle of statistical research. Abstract. More than fifty years ago, John Tukey first envisioned a field we now call “Data Science” (he called it “Data Analysis”) to replace academic statistics. George Box, who famously said

3 Jun 2024: Search. Bootstrapping sensitivity analysis. Date. 2020-08-03. Event. JSM 2020. Location. JSM 2020 (Virtual). 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. BETS: The dangers of selection bias in early analyses of the coronavirus disease (COVID-19) pandemic. Date. 2021-03-24 4:00 PM — 5:00 PM. Location. Infectious disease outbreaks webinar. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. Small Data, Big Time—A retrospect of the first weeks of COVID-19. Date. 2021-09-08 5:15 PM — 7:15 PM. Event. RSS Annual Conference, Discussion Meeting. Location. Manchester, UK. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. Confounder selection via iterative graph expansion. Date. 2023-09-17 12:00 AM — 12:00 AM. Pacific Causal Inference Conference. Location. Peking University, China. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. Fun-Posts. Amusing counterfactual inference (by words). My good friend Joshua Loftus and I spent some 30 minutes to crack (at least we think we did!) a counterfactual inference made in a speech in the House of Commons in London in 1850 by

3 Jun 2024: Search. COVID-19 (project page). 2020-07-24. Publications. Small Data, Big Time—A retrospect of the first weeks of COVID-19. To be read before The Royal Statistical Society at the Society’s 2021 annual conference held in Manchester on Wednesday,

3 Jun 2024: Search. The randomization principle in causal inference: A modern look at some old ideas. Abstract. Randomization is a fundamental principle in causal inference and was first proposed by R A Fisher about a century ago. Although randomization has now

3 Jun 2024: Search. Two High-Profile Examples of Selection Bias. Abstract. This talk will examine the selection bias that occurred in studying some most contentious problems. In the first case study, we will look at the estimation of the growth rate and

3 Jun 2024: Search. Causal-Inference. Selective Randomization Inference for Adaptive Experiments. We apply ideas from post-selection inference to randomization tests for adaptive experiments. A new Bayesian full-information method for life-course Mendelian

3 Jun 2024: Search. Mendelian randomization: A tutorial. Abstract. Tutorial talk for the theory, methods, and practice of Mendelian randomization. Date. 2019-07-12. Event. Causal Inference Summer Institute 2019. Location. Rutgers University, School of Public

3 Jun 2024: Search. Reliable Inference for Precision Medicine. Abstract. Two central objectives of individualized treatment are precision and optimality. A third objective is robustness, and this talk aims to explore what could happen if we account for

3 Jun 2024: Search. Causal Inference (Part III, Michaelmas 2023). 2023-10-05. This is a 16-lecture course on causal inference, the statistical science of drawing causal conclusions from experimental and non-experimental data. [Updated: <2023-11-23 Thu>].

3 Jun 2024: Search. Randomization (project page). 2022-04-22. A related page isRelated. Publications. Selective Randomization Inference for Adaptive Experiments. We apply ideas from post-selection inference to randomization tests for adaptive experiments.

3 Jun 2024: Search. Fisher, Statistics, and Randomization. Abstract. One of Fisher’s most important scientific contributions is the paradigm of randomized experiments. I will try to trace the origin of this idea and highlight how it is rooted in Fisher’s

3 Jun 2024: Search. Using sparsity to overcome unmeasured confounding: Two examples. Abstract. Sparsity is often used to improve the interpretability of a statistical analysis and/or reduce the variance of a statistical estimator. This talk will explore another

3 Jun 2024: Search. Simultaneous Hypothesis Testing Using Internal Negative Controls with An Application to Proteomics. Zijun Gao, Qingyuan Zhao. March 2023Abstract. Negative control is a common technique in scientific investigations and broadly refers to the

3 Jun 2024: Search. Discovering mechanistic heterogeneity using Mendelian randomization. Abstract. Mendelian Randomization (MR) is a popular method in epidemiology and genetics that uses genetic variation as instrumental variables for causal inference. Existing

3 Jun 2024: Search. Almost exact Mendelian randomization. Matt Tudball, George Davey Smith, Qingyuan Zhao. August 2022Type. 2024. Powered by the Academic theme forCite.

3 Jun 2024: Search. How infectious was COVID-19 when it first circulated in Wuhan? Abstract. This is given to A-level students. Date. 2022-03-24 2:00 PM — 2:45 PM. Location. Corpus Christi College Masterclass in Mathematics. 2024. Powered by the Academic

3 Jun 2024: Search. Sensitivity Analysis. A new approach to sensitivity analysis in linear SEMs using stochastic optimization and the $R2$-calculus. Sensitivity analysis is widely recognized as a critical step in an observational study but is seldom found in

3 Jun 2024: Search. Causal Inference with Observational Data: Common Designs and Statistical Methods (2023). Course description. Observational studies are non-interventional empirical investigations of causal effects and are playing an increasingly vital role

3 Jun 2024: Search. Confounder Selection. We propose a systematic way to select confounders. Confounder selection: Objectives and approaches. We provide a unified review of various confounder selection criteria in the literature and the assumptions behind them.

3 Jun 2024: Search. MR Data Challenge 2019. The role of lipoprotein subfractions in coronary artery disease. Abstract. This report entered the 2019 MR Data Challenge and contains reproducible R code for our analysis. Date. 2019-07-19. Event. Mendelian

3 Jun 2024: Search. The statistics of summary-data Mendelian randomization. Abstract. Invited talk giving an overview of my research on summary-data Mendelian randomization. Date. 2019-07-17. Event. Mendelian Randomization Conference, 2019. Location. MRC

3 Jun 2024: Search. What is a randomization test? Yao Zhang, Qingyuan Zhao. March 2022Abstract. The meaning of randomization tests has become obscure in statistics education and practice over the last century. This article makes a fresh attempt at rectifying

3 Jun 2024: Search. A fun model to explain the surging popularity of Mendelian randomization. 2021-03-23 2 min read. I was preparing for my talk in EPFL’s statistics seminar today and discovered an interesting model. As many people know, the popularity of

3 Jun 2024: Search. Mendelian randomization: Old and new insights. Abstract. Mendelian randomization (MR) is a method for causal inference that utilizes the natural experiment in genetic inheritance. The idea of MR can be traced back to the dawn of modern

3 Jun 2024: Search. Sensitivity Analysis with the $R2$-calculus. Tobias Freidling, Qingyuan Zhao. January 2023R$-sensitivity contours for the lower end of the estimated partially identified region. Abstract. Causal inference necessarily relies upon untestable

3 Jun 2024: Search. Sensitivity analysis for observational studies. Abstract. Sensitivity analysis is widely recognized as a critical step in an observational study but is seldom found in applications. One reason for its underuse is the various forms of model,

3 Jun 2024: Search. IV & MR (project page). 2019-07-18. Related. Publications. Causal mediation analysis for time-varying heritable risk factors with Mendelian Randomization. A new Bayesian full-information method for life-course Mendelian randomization. Zixuan

3 Jun 2024: Search. Statistical Modelling (Part II, Michaelmas 2022). 2022-09-30. General information. This course consists of 16 lectures and 8 practical sessions. It complements the Part II Principles of Statistics, but takes a more applied perspective.

3 Jun 2024: Search. Causal mediation analysis for time-varying heritable risk factors with Mendelian Randomization. Zixuan Wu, Ethan Lewis, Qingyuan Zhao, Jingshu Wang. February 2024Abstract. Understanding the causal pathogenic mechanisms of diseases is crucial