Course Code: bsrsa2
Duration: 14 hours
Course Outline:

Day One

R and Statistics

  • Probability and Normal Distribution
  • Random numbers
  • Descriptive Statistics
  • Standardization and Normalization
  • t-distribution
  • Chi-Square Distribution
  • Confidence Intervals
  • Hypothesis Testing, parametric vs. non parametric tests
  • t-tests
  • F-tests
  • ANOVA

Linear Regression

  • Correlation coefficient and interpretation
  • Wilkinson-Rogers formula notation
  • Simple and multiple linear regression
  • Estimation methods – Least squares
  • Model validation – tests for violation of assumptions
  • Logistic regression

Graphical Procedures

  • Plots for 1, 2 and more variables
  • QQ-Plots
  • Exporting plots to png, pdf and jpeg files
  • ggplot2

Project Organisation

  • Data & other Artefacts
  • Folder-Structure
  • Versioning

Day Two

  • ANOVA revisisted
  • Normality Tests
  • Mixed-Effect Models & Nested Analysis
  • Variance Component Analysis
    • R-Package VCA
    • Visualization of Variability
    • Outlier Detection
      • R-Package STB
    • VCA-Models
      • ANOVA, MINQUE
      • REML, ML
    • VCA Inference
    • Confidence intervals for Variance Components