Data Analysis & Statistics

T-Test

• The T-Test (Research Methods Knowledge Base)
• Comparing samples (Nature Methods)
• Explore: Tutorial: t-test (WISE)
• Explore: t-distribution (Kristoffer Magnusson)
• Video: Hypothesis testing with two samples (Kahn Academy)
• Video: Paired samples and independent samples for statistical analysis (Dr. Nic's Maths and Stats)

Chi-Square

• See also Two-Way / Contingency Tables
• Understanding Chi Square (Query Group)
• The Chi-Square Test (Columbia CNMTL)
• Video: Chi-square probability distribution (Kahn Academy)

One-Way ANOVA

• Comprehensive: Introduction to One-Way Analysis of Variance pdf (Dale Berger, WISE)
• Video: Analysis of variance (Kahn Academy)
• Explore: Visual ANOVA (Wolfram Demonstrations)
• Explore, Comprehensive: Sums of squares in ANOVA (R-Studio Shiny Apps)

For information on Two-Way and Factorial ANOVA (with 2+ IVs), MANOVA, or MANCOVA, see the Multivariate Analysis & GLM tab.

Correlation

• Correlation / Scatter Plot (Math is Fun)
• Correlations pdf (GMU Data Services)
• Video: Correlation is Not Causation Part 1 & Part 2
• Explore: Interpreting Correlations (Kristoffer Magnusson)
• Explore: Spurious Correlations & Discover a correlation (Tyler Vigen)

Simple Regression

• Video: Understanding regression analysis (Elon University Poll) - Short, non-technical overview
• Video: Learn Statistical Regression in 40 mins! (zedstatistics)
• Video: Simple Regression (Brandon Foltz, ~4.5 hrs),
• Equation of a Straight Line / Explore the Properties (Math is Fun)  - Review this first as needed.
• Regression Analysis (Roger Niles) - Brief, non-technical overview
• A basic outline of regression analysis pdf (UK Briefing Papers)
• Regression Analysis (Mark Flaherty) - Materials from a class

For information on Multiple Regression (with 2 or more IVs), Logistic Regression (with a categorical DV), or Mixed and Multi-level modeling (with clustered data or levels of data), see the Multivariate Analysis & GLM tab.