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STATISTICAL COMPUTING

This GitHub serves as a repository for STT 802 and EPI 853B

Team:

  • Developer: Gustavo de los Campos
  • Contributors:
    • Gustavo de los Campos
    • Grace Hong (Fall 2018 and 2019)
    • Andriana Mandousidaki (Fall 2023)
    • Yue Xing (Fall 2024)
    • Harish Neelam (Fall 2024)
  • Current maintainers:
    • Gustavo de los Campos
    • Yue Xing

Instructors 2024: Yue Xing ([email protected]) and Gustavo de los Campos ([email protected]).

Syllabus

Time & Place M&W 3:00-4:20PM E111 Fee Hall (In-person).

Topics & Tentative Schedule

Topics Materials In-class Homework
Introduction to R
Types, basic operations, arrays R Intro INCLASS-1
Reading/Writing data, Descriptive analysis Read/Write/ Descriptive statistics & basic plots INCLASS-2
Loops and conditional statements, functions Conditionals / Loops / functions INCLASS-3
Reporting using RStudio/RMarkdown Libraries and Distributions / RMarkdown 1/ RMarkdown 2/ cheatsheets
Linear Algebra
Linear Algebra in R Matrix operations INCLASS-4 INCLASS-5
Least Squares problems
Linear Regression OLS-Handout , OLS Using lm and Matrix operations , Rmarkdown practice INCLASS-6 INCLASS-7 INCLASS-8 HW 1
Matrix Factorizations & Solving systems of equations using iterative algorithms Matrix Factorixation in R / Gauss-Seidel / Review Handout INCLASS-9
Non-Linear regression via OLS scatter-plot smoothing INCLASS 10 INCLASS 11
Maximum Likelihood
Estimation and inference using the optim function Logistic Regression handout/ MLE_and_logististicregression.rmd / ML Bernoulli / Scripts INCLASS 12 HW2
Wed Wed, October 16, Midterm (tentative)
Monday October 21, no-class, university break
Module 5: Sampling random variables
Univariate distributions (the 'd', 'p', 'q' and 'r' functions) Distributions INCLASS 13
Transformation of RVs, Inverse Probability Method, Composition Sampling, and Gibbs Sampler Sampling RVs handout INCLASS 14
Multivariate normal distribution Sampling RVs handout / Examples INCLASS 15
Power Analysis Slides / Handout INCLASS 15-POWER HW3
Bootstrap HANDOUT/ Efron & Hastie (2017) / Efron's video/ An example using the boot R-package INCLASS 16
Permutation analysis Permutation INCLASS 17
Large scale hypothesis testing Handout / Ch. 15, Efron & Hastie (2017) INCLASS 18 HW4
Cross-validation CV Handout INCLASS 19
High-Dimensional Regression Handout
Forward Regression INCLASS 20 HW5
Penalized Regression INCLASS 21
Final class Open to questions and review of topics
Final Exam: Mon. Dec. 9 final exam at Fee Hall E111 3 pm-5 pm

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Statistical Computing (STT 802, EPI853b)

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