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Advanced High School Statistics:
Second Edition, with updates based on AP© Statistics Course Framework
David M Diez, Mine Çetinkaya-Rundel, Leah Dorazio, Christopher D Barr
Contents
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Contents
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Front Matter
Preface
Textbook overview
Online Resources
Examples and exercises
Getting involved
Acknowledgement
1
Data collection
Case study: using stents to prevent strokes
Data basics
Overview of data collection principles
Observational studies and sampling strategies
Experiments
Chapter exercises
2
Summarizing data
Examining numerical data
Numerical summaries and box plots
Considering categorical data
Case study: malaria vaccine (special topic)
Chapter exercises
3
Probability
Defining probability
Conditional probability
The binomial formula
Simulations
Random variables
Continuous distributions
Chapter exercises
4
Distributions of random variables
Normal distribution
Sampling distribution of a sample mean
Geometric distribution
Binomial distribution
Sampling distribution of a sample proportion
Chapter exercises
5
Foundations for inference
Estimating unknown parameters
Confidence intervals
Introducing hypothesis testing
Does it make sense?
Chapter exercises
6
Inference for categorical data
Inference for a single proportion
Difference of two proportions
Testing for goodness of fit using chi-square
Chi-square tests for two-way tables
Chapter exercises
7
Inference for numerical data
Inference for a mean with the \(t\)-distribution
Inference for paired data
Inference for the difference of two means
Chapter exercises
8
Introduction to linear regression
Line fitting, residuals, and correlation
Fitting a line by least squares regression
Inference for the slope of a regression line
Transformations for skewed data
Chapter exercises
Appendices
A
Data sets within the text
Data sets within the text
B
Distribution Tables
Random Number Table
Normal Probability Table
\(t\) Probability Table
Chi-Square Probability Table
C
Calculator reference, Formulas, and Inference guide
Calculator reference
Inference guide
D
Calculator reference, Formulas, and Inference guide
Authored in PreTeXt
Appendix
C
Calculator reference, Formulas, and Inference guide
¶
C.1
Calculator reference
C.2
Inference guide
