• Conduct a literature search to learn existing methods and explore simulation-based power calculation methods for Bayesian network meta-analysis (NMA). • Simulate and summarize the power behaviors of using overall evidence in NMA, evaluate powers, Type I error rates, and probabilities of correct ranking in applied NMA studies, and develop R packages to disseminate the method for practitioners.• Summarize empirical findings from 23,492 meta-analyses with binary out- comes and 10,118 meta-analyses from the Cochrane library database.• Examine hypotheses regarding heterogeneity measurements, treatment ef- fects, effect size and standard error estimates, and inferences based on fitted models with both frequentist and Bayesian approaches.

• Research the effects of exposure to opposing partisan messages within social media networks with a mixed-method field experiment on Twitter using causal inference and network analysis. • Study how social media echo chambers contribute to political polarization using both quantitative and qualitative methods, with a primary focus on collecting and analyzing text data in R.• Develop an improved ideological point estimation method based on network and text data from social media platforms for both political elites and ordinary users.

• Answered and clarified questions regarding majors and minor, courses, pre-requisites, and registration• Planned and organized departmental events

• Helped students work with data, R, graphs, and statistical writing in Quantitative Reasoning classes• Assisted with data analysis questions from senior students in their long term research projects

• Explored the finite-sample behavior of residual diagnostics for linear mixed-effects (LME) models in R• Designed simulation studies that consider potential model misspecifications, unbalanced group sizes and changing residual variabilities that are common in real-life social and natural science research• Implemented model fitting on two-level nested artificial data with random slopes and intercepts, analyzed hierarchical models and extracted marginal conditional, random effects residuals• Verified the interrelated effects from combinations of model misspecifications and offered guidelines on how residual diagnostics tests should be evaluated for model checking of LME • Presented findings at Northfield Undergraduate Mathematics Symposium, Undergraduate Statistics Class Project competition and Carleton Undergraduate Research and Internship Symposium

• Provided students the opportunity to undergo the research process from start to finish• Edited accomplished academic work and connected students and their work from various institutions

• Analyzed weekly and annual operational data and fit the trendline with proper statistical models• Provided Shiny visualizations to the organization and community leaders on program participation rates

• Collaborated with the public policy team to create legislative spreadsheets on 201 Minnesota legislators• Researched legislator’s personal connections to nonprofits, current and past committee assignments, and previous legislative characteristics and decisions

• Studied the integrated concepts of the graph theory and discrete Bayesian models, including applications of log-linear transformation, casual models, decomposable graphs and belief propagation algorithm in R• Collected nationwide infection, hospitalization, mortality data and conducted simulations of the impacts on the U.S. fatalities under different levels of government’s public health regulations• Provided an accurate and reliable projection of infection and mortality in Covid-19 pandemic with belief propagation algorithm and accepted manuscript by Rose-Hulman Undergraduate Mathematics Journal

• Checked and repaired damage to the library materials including textbooks, special collections and magazines • Processed newly arrived books and verify the information in the library database

• Conducted exploratory data analysis and created visualization of the college’s demographics and annual budget• Gave oral presentation to the college board on the optimization of the budget balance and investment portfolio• Examined and organized the digital records and files of faculties and staffs