Statistics Lab

STATISTICS FOR COLLEGE STUDENTS

Part I — FoundationsChapter 1 — Introduction

Chapter 2 — Descriptive Statistics

Chapter 3 — Probability

Chapter 4 — Distributions

Chapter 5 — The Normal Distribution

Part II — Statistical InferenceChapter 6 — Hypothesis Testing

Chapter 7 — t-Tests

Chapter 8 — Analysis of Variance (ANOVA)

One-Way ANOVA

Two-Way ANOVA

Repeated-Measures ANOVA

8.4 — Mixed ANOVA

8.5 — Post Hoc Comparisons

Part III — Categorical & Nonparametric MethodsChapter 9 — Chi‑Square Tests

Chapter 10 — Power & Sample Size

Chapter 11 — Nonparametric Tests

Part IV — Regression & PredictionChapter 12 — Correlation & Simple Linear Regression

Chapter 13 — Multiple Linear Regression

Chapter 14 — Logistic Regression

Chapter 15 — Model Selection & Diagnostics

Part V — Computational & Modern TopicsChapter 16 — Big Data & Computational Statistics

Chapter 17 — Machine Learning

Chapter 18 — Resampling & Simulation

AppendicesAppendix A — Statistical Tables

Appendix B — Notation & Symbols

Appendix C — R & Python Quick start

Appendix D — Datasets Catalog

Appendix E — Glossary

Appendix F. Software and Computation Guide

PRE-COLLEGE STATS

Part 1 — Theory • Concepts • Statistical Tests

Chapter 1: What Is Statistics? Why Does It Matter?

Chapter 2 — The Averages

Chapter 3 — Variance & Standard Deviation

Chapter 4 — The Standard Normal Curve

Chapter 5 — Standard Error of the Mean (SEM)

Chapter 6 — The t-test

Chapter 7 — Analysis of Variance (ANOVA)

Chapter 8 — Post Hoc Tests

Chapter 9 — Correlation

Chapter 10 — Regression

Chapter 11 — Non-parametric Tests

Chapter 12 — Chi-square Tests

Chapter 13 — Degrees of Freedom Cookbook

Part 2 — Lecture & Lab

Lecture 1 — Scales of Measurement

Lecture 2 — The Goddess Normal Curve

Lecture 3 — Variance & Standard Deviation

Lecture 4 — Uses of the Normal Distribution

Lecture 5 — The t-test

Lecture 6 — ANOVA (Partitioning the Variance)

Lecture 7 — Factorial Designs (Two-way ANOVA)

Lecture 8 — Repeated-Measures ANOVA

Lecture 9 — Mixed (Split-Plot) ANOVA

Part 3 — Statistical Desing

Identify the Design

Part 4 — Applications (Cases and Examples)

Part 5 — Statistical Tests (Cookbook Style)

Part 6 — Modern Statistics: Data, AI, and Machine Learning

Chapter 14 — Big Data

Chapter 15 — Resampling and Simulation

Chapter 16 — Machine Learning Basics

Chapter 17 — Regression Beyond the Line

Chapter 18 — AI and Neural Networks (Intro)

Chapter 19 — Ethics in Data and AI

Part 7 --- The Storyteller Statistician

Story 1 — Numbers, Quantities, Measurement

Story 2 — No-Number Numbers

Story 3 — The Ordinal Scale of Measurement

Story 4 — The Interval Scale of Measurement

Story 5 — My Zero Is Not Zero

Story 6 — The Goddess Normal Curve

Part 8 --- Appendices

Appendix A — Symbols and Notation (Cheat Sheet)

Appendix B — Math Review for Statistics

Appendix C — Using the t-table and F-table

Appendix D — Using the z-table

Appendix E — Technology Tips (On Your Phone & Laptop)

Appendix F — Data Sets for Practice

Appendix G — Study Tips for Statistics

Appendix H — Glossary of Key Terms