Advanced High School Statistics

We hope readers will take away three ideas from this book in addition to forming a foundationof statistical thinking and methods. (1) Statistics is an applied field with a wide range of practical applications. (2) You don't have to be a math guru to learn from real, interesting data. (3) Data a...

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Bibliographic Details
Main Authors: Diez, David (Author), Barr, Christopher (Author), Çetinkaya-Rundel, Mine (Author), Dorazio, Leah (Author)
Format: Electronic eBook
Language:English
Published: [Place of publication not identified] OpenIntro [2019]
Edition:2nd Edition
Series:Open textbook library.
Subjects:
Online Access:Access online version
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Table of Contents:
  • 1 Data collection
  • 1.1 Case study
  • 1.2 Data basics
  • 1.3 Overview of data collection principles
  • 1.4 Observational studies and sampling strategies
  • 1.5 Experiments
  • 2 Summarizing data
  • 2.1 Examining numerical data
  • 2.2 Numerical summaries and box plots
  • 2.3 Considering categorical data
  • 2.4 Case study: malaria vaccine (special topic)
  • 3 Probability
  • 3.1 Defining probability
  • 3.2 Conditional probability
  • 3.3 The binomial formula
  • 3.4 Simulations
  • 3.5 Random variables
  • 3.6 Continuous distributions
  • 4 Distributions of random variables
  • 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
  • 5 Foundation for inference
  • 5.1 Estimating unknown parameters
  • 5.2 Confidence intervals
  • 5.3 Introducing hypothesis testing
  • 5.4 Does it make sense?
  • 6 Inference for categorical data
  • 6.1 Inference for a single proportion
  • 6.2 Difference of two proportions
  • 6.3 Testing for goodness of fit using chi-square
  • 6.4 Homogeneity and independence in two-way tables
  • 7 Inference for numerical data
  • 7.1 Inference for a mean with the t-distribution
  • 7.2 Inference for paired data
  • 7.3 Inference for the difference of two means
  • 8 Introduction to linear regression
  • 8.1 Line fitting, residuals, and correlation
  • 8.2 Fitting a line by least squares regression
  • 8.3 Inference for the slope of a regression line
  • 8.4 Transformations for skewed data
  • A Exercise solutions
  • B Distribution tables
  • C Distribution Tables
  • D Calculator reference, Formulas, and Inference guide