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    Significant Statistics

    In Development

    John Morgan Russell

    Estimated Publication: March 2025

    Copyright Year:

    ISBN 13: 978-1-957213-85-9

    Publisher: Virginia Tech Publishing

    Language: English

    Conditions of Use

    Attribution-NonCommercial-ShareAlike Attribution-NonCommercial-ShareAlike
    CC BY-NC-SA

    Table of Contents

    Chapter 1: Sampling and Data
    1.1 Introduction to Statistics
    1.2 Data Basics
    1.3 Data Collection and Observational Studies
    1.4 Designed Experiments
    1.5 Sampling
    Chapter 1 Wrap-Up

    Chapter 2: Univariate Descriptive Statistics
    2.1 Descriptive Statistics and Frequency Distributions
    2.2 Displaying and Describing Categorical Distributions
    2.3 Displaying Quantitative Distributions
    2.4 Describing Quantitative Distributions
    2.5 Measures of Location and Outliers 
    2.6 Measures of Center
    2.7 Measures of Spread
    Chapter 2 Wrap-Up

    Chapter 3: Bivariate Descriptive Statistics
    3.1 Introduction to Bivariate Data
    3.2 Visualizing Bivariate Quantitative Data
    3.3 Measures of Association
    3.4 Modeling Linear Relationships
    3.5 Cautions about Regression
    Chapter 3 Wrap-Up

    Chapter 4: Probability Distributions
    4.1 Introduction to Probability and Random Variables
    4.2 Discrete Random Variables
    4.3 The Binomial Distribution
    4.4 Continuous Random Variables
    4.5 The Normal Distribution
    4.6 The Normal Approximation to the Binomial
    Chapter 4 Wrap-Up

    Chapter 5: Foundations of Inference
    5.1 Point Estimation and Sampling Distributions
    5.2 The Sampling Distribution of the Sample Mean (Central Limit Theorem)
    5.3 Introduction to Confidence Intervals
    5.4 The Behavior of Confidence Intervals
    5.5 Introduction to Hypothesis Tests
    5.6 Hypothesis Tests in Depth
    Chapter 5 Wrap-Up

    Chapter 6: Inference for One Sample
    6.1 The Sampling Distribution of the Sample Mean (t)
    6.2 Inference for the Mean in Practice
    6.3 The Sampling Distribution of the Sample Proportion
    6.4 Inference for a Proportion
    6.5 Behavior of Confidence Intervals for a Proportion
    Chapter 6 Wrap-Up

    Chapter 7: Inference for Two Samples
    7.1 Inference for Two Dependent Samples (Matched Pairs)
    7.2 Inference for Two Independent Sample Means
    7.3 Inference for Two-Sample Proportions
    Chapter 7 Wrap-Up

    Chapter 1 Extra Practice
    Chapter 2 Extra Practice
    Chapter 3 Extra Practice
    Chapter 4 Extra Practice
    Chapter 5 Extra Practice
    Chapter 6 Extra Practice
    Chapter 7 Extra Practice

    Ancillary Material

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    About the Book

    Significant Statistics: An Introduction to Statistics is intended for students enrolled in a one-semester introduction to statistics course who are not mathematics or engineering majors. It focuses on the interpretation of statistical results, especially in real world settings, and assumes that students have an understanding of intermediate algebra. In addition to end of section practice and homework sets, examples of each topic are explained step-by-step throughout the text and followed by a 'Your Turn' problem that is designed as extra practice for students.

    Significant Statistics: An Introduction to Statistics was adapted from content published by OpenStax including Introductory Statistics, OpenIntro Statistics, and Introductory Statistics for the Life and Biomedical Sciences. John Morgan Russell reorganized the existing content and added new content where necessary. 

    Instructors reviewing, adopting, or adapting this textbook: please help us understand your use by filling out this form: https://bit.ly/stat-interest.

    About the Contributors

    Author

    John Morgan Russell