Statistics

Introduction to Statistics is a college-level, introductory textbook that covers the fascinating subject of Statistics, a branch of mathematics highly relevant to everyday situations. Boundless works with subject matter experts to select the best open educational resources available on the web, review the content for quality, and create introductory, college-level textbooks designed to meet the study needs of university students.


This textbook covers:


Introduction to Statistics and Statistical Thinking – Overview

 

Statistics in Practice -- Observational Studies, Controlled Experiments

 

Visualizing Data -- The Histogram, Graphing Data

 

Frequency Distributions -- Frequency Distributions for Quantitative Data, Frequency Distributions for Qualitative Data

 

Describing, Exploring, and Comparing Data -- Central Tendancy, Measures of Relative Standing, The Law of Averages, Further Considerations for Data

 

Measures of Variation -- Describing Variability

 

Sampling -- Populations and Samples, Sample Surveys, Sampling Distributions, Errors in Sampling, Sampling Examples

 

Probability -- What Are the Chances?, Probability Rules, More About Chance

 

Probability and Variability -- Discrete Random Variables, The Binomial Random Variable, Other Random Variables

 

Continuous Random Variables -- The Normal Curve, Normal Approximation for Data, Measurement Error, Expected Value and Standard Error, Normal Approximation for Probability Histograms

 

Correlation and Regression -- Correlation, More About Correlation, Regression, The Regression Line, R.M.S. Error for Regression, Multiple Regression

 

Estimation and Hypothesis Testing -- Estimation, Confidence Intervals, Hypothesis Testing, Hypothesis Testing with Two Samples, Comparing More than Two Means, The F-Test, Analysis of Variance (Repeated Measures)

 

Other Hypothesis Tests -- The T-Test, The Chi-Squared Test, Tests for Ranked Data, Nonparametric Statistics

 

A Closer Look at Tests of Significance -- Which Test?, A Closer Look at Tests of Significance