OpenIntro Statistics (book)

OpenIntro Statistics

This is an introductory book to Statistics

Website:

• http://www.openintro.org/stat/
• http://www.openintro.org/stat/textbook.php

Data Collection

• Sampling
• Observational Studies
• Statistical Experiments

Descriptive Statistics

Examining Numerical Data

• Plots
  • Scatter Plots
  • Box Plots
  • Bar Charts
  • Mosaic Plots
• Contingency Tables
• Conditional Distribution
• Joint Distribution

Probability

Distributions

• Normal Distribution
• Binomial Distribution
• Geometric Distribution
• Negative Binomial Distribution

Inferential Statistics

Point Estimates

• Sampling Distribution and Central Limit Theorem
• Standard Error
• Biased Estimators

Confidence Intervals

• Confidence Intervals for Means
• Binomial Proportion Confidence Intervals

Hypothesis Testing

• Confidence Intervals and Statistical Tests
• z-tests and t-tests for means (one-sample and two-sample)
• Binomial Proportion Tests for testing (one-sample and two-sample) for using Normal Approximation
  • Exact Binomial Proportion Tests for using Binomial Distribution
• ANOVA and One-Way ANOVA F-Test for testing relationships between Numerical and Categorical variables
• Chi-Squared Tests for testing relationships between two Categorical variables

Statistical Simulation

DataCamp Labs

The labs [https://www.datacamp.com/courses/data-analysis-and-statistical-inference_mine-cetinkaya-rundel-by-datacamp] are the interactive version of the exercises from the book

Labs:

• Lab 1: Introduction to Data
• Lab 2: Probability
• Lab 3A: Sampling Distributions
• Lab 3B: Confidence Intervals
• Lab 4: Inference for numerical data
• Lab 5: Inference for categorical data
• Lab 6: Introduction to linear regression
• Lab 7: Multiple linear regression
• Extra lab: Distributions (lab 3 from [http://www.openintro.org/stat/labs.php])