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Advanced High School Statistics: First Edition
David M Diez, Christopher D Barr, Mine Cetinkaya-Rundel, Leah Dorazio
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Contents
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Front Matter
Preface
Textbook overview
Videos
Examples, exercises, and appendices
OpenIntro, online resources, and getting involved
Acknowledgements
1
Data collection
Case study: using stents to prevent strokes
Data basics
Overview of data collection principles
Observational studies and sampling strategies
Experiments
Exercises
2
Summarizing data
Examining numerical data
Numerical summaries and box plots
Considering categorical data
Case study: gender discrimination (special topic)
Exercises
3
Probability
Defining probability
Conditional probability
The Binomial Formula
Simulations
Random variables
Continuous distributions
Exercises
4
Distributions of random variables
Normal distribution
Sampling distribution of a sample mean
Geometric distribution
Binomial distribution
Sampling distribution of a sample proportion
Exercises
5
Foundation for inference
Estimating unknown parameters
Confidence intervals
Introducing hypothesis testing
Does it make sense?
Exercises
6
Inference for categorical data
Inference for a single proportion
Difference of two proportions
Testing for goodness of fit using chi-square
Homogeneity and independence in two-way tables
Exercises
7
Inference for numerical data
Inference for a single mean with the \(t\)-distribution
Inference for paired data
Difference of two means using the \(t\)-distribution
Comparing many means with ANOVA (special topic)
Exercises
8
Introduction to linear regression
Line fitting, residuals, and correlation
Fitting a line by least squares regression
Types of outliers in linear regression
Inference for the slope of a regression line
Transformations for nonlinear data
Exercises
Distribution Tables
Random Number Table
Normal Probability Table
\(t\) Probability Table
Chi-Square Probability Table
Authored in PreTeXt
Chapter
4
Distributions of random variables
ΒΆ
4.1
Normal distribution
4.2
Sampling distribution of a sample mean
4.3
Geometric distribution
4.4
Binomial distribution
4.5
Sampling distribution of a sample proportion
4.6
Exercises
