Introduction to the Basics of Applied Statistical Modelling
  • Introduction to the Instructor and Course
  • Data & Code Used in the Course
  • Statistics in the Real World
  • Designing Studies & Collecting Good Quality Data
  • Different Types of Data
  • Conclusion to Section 1
Section 2: The Essentials of the R Programming Language
  • Rationale for this section
  • Introduction to the R Statistical Software & R Studio
  • Different Data Structures in R
  • Reading in Data from Different Sources
  • Indexing and Subsetting of Data
  • Data Cleaning: Removing Missing Values
  • Exploratory Data Analysis in R
  • Conclusion to Section 2
  • Section 2 Quiz
Statistical Tools to Learn More About Your Data
  • Summarize Quantitative Data
  • Measures of Center
  • Measures of Variation
  • Charting & Graphing Continuous Data
  • Charting & Graphing Discrete Data
  • Deriving Insights from Qualitative/Nominal Data
  • Conclusions to Section 3
  • Section 3 Quiz
Probability Distributions
  • Background
  • Data Distribution: Normal Distribution
  • Checking For Normal Distribution
  • Standard Normal Distribution and Z-scores
  • Confidence Interval-Theory
  • Confidence Interval-Computation in R
  • Conclusions to Section 4
  • Section 4 Quiz
Statistical Inference
  • What is Hypothesis Testing?
  • T-tests: Application in R
  • Non-Parametric Alternatives to T-Tests
  • One-way ANOVA
  • Non-parametric version of One-way ANOVA
  • Two-way ANOVA
  • Power Test for Detecting Effect
  • Conclusions to Section 5
  • Section 5 Quiz
Relationship Between Two Different Quantitative Variables
  • Explore the Relationship Between Two Quantitative Variables?
  • Correlation
  • Linear Regression-Theory
  • Linear Regression-Implementation in R
  • The Conditions of Linear Regression
  • Dealing with Multi-collinearity
  • What More Does the Regression Model Tell Us?
  • Linear Regression and ANOVA
  • Linear Regression With Categorical Variables and Interaction Terms
  • Analysis of Covariance (ANCOVA)
  • Selecting the Most Suitable Regression Model
  • Conclusions to Section 6
  • Section 6 Quiz
Other Types of Regression
  • Violation of Linear Regression Conditions: Transform Variables
  • Other Regression Techniques When Conditions of OLS Are Not Met
  • Model 2 Regression: Standardized Major Axis (SMA) Regression
  • Polynomial and Non-linear regression
  • Linear Mixed Effect Models
  • Generalized Regression Model (GLM)
  • Logistic Regression in R
  • Poisson Regression in R
  • Goodness of fit testing
  • Conclusions to Section 7
  • Section 7 Quiz
Multivariate Analysis
  • Why Do Multivariate Analysis?
  • Cluster Analysis/Unsupervised Learning
  • Principal Component Analysis (PCA)
  • Linear Discriminant Analysis (LDA)
  • Correspondence Analysis
  • Similarity & Dissimilarity Across Sites
  • Non-metric multi dimensional scaling (NMDS)
  • Multivariate Analysis of Variance (MANOVA)
  • Conclusions to Section 8
  • Section 8 Quiz
Miscellaneous Lectures & Information
  • Exploratory Data Analysis With xda
  • Read in Data from Online HTML Tables-Part 1
  • Read in Data from Online HTML Tables-Part 2
  • Use R in Colab
  • Summarise By Time
  • POSIT