1. Descriptive Statistics
  2. Probability Theory
  3. Discrete Data Analysis
  4. Linear Regression Models
  5. Experimental Design
  6. Generalized Linear Models
  7. Non-parametric Tests
  8. Multivariate Analysis
  9. Data Mining and Machine Learning
  10. Sampling Theory and Methods
  11. Open Source Textbooks

 

Descriptive Statistics

Numerical summaries, statistical graphics

SAS

R

SPSS


Probability Theory

Online Courses:

Books available online:


Discrete Data Analysis

Online Courses:


Linear Regression Models

Linear regression and correlation

Diagnostics and Transformations

Multiple linear regression

Statistical forecasting:

Online Courses:

Books:

  • Introduction to Linear Regression Analysis by D. Montgomery, E. Peck

Experimental Design

A field guild to experimental designs – including complete randomized design, randomized complete block design, factorial design, split plot design, etc.

ANOVA

ANCOVA

Linear Mixed model

Repeated Measures

Sample size determination

Teaching materials

Online Courses

Books available online:


Generalized Linear Models

Generalized Linear Model

Logistic Regression

Poisson Regression


Non-parametric Tests

Non-Parametric Alternatives to Parametric Tests

Type of Design Parametric Test Non-parametric Test
Two Independent Samples Independent –samples t-test Mann-Whitney U or Wilcoxon Rank Sums Test
Two Dependent Samples Dependent-samples t-test Wilcoxon T-test
Three or more Independent Samples Between-subjects ANOVA Kruskal-Wallis H Test
Three or more Dependent Samples Within-subjects ANOVA Friedman x2 Test

Mann-Whitney U (Wilcoxen-Rank Sums Test) and Kurskal-Wallis  (independent samples)

Background information and tutorial

Wilcoxen T-test and Friedman x2 Test (dependent samples)

Basic information and tutorials

Basic R code for basic Non-parametric Testing

Non-parametric regression

Generalized Additive Modeling (a specific type of non-parametric regression)

Online Courses


Multivariate Analysis

A guild to choose different statistical techniques of multivariate analysis

MANOVA

Principle Component Analysis

Factor Analysis

Online Courses


Data Mining and Machine Learning

Online Courses


Sampling Theory and Methods

Online Courses


Open Source Textbooks