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Introductory Statistics for Data Analysis

  • Textbook
  • © 2023

Overview

Authors:
  1. Warren J. Ewens

    1. Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Katherine Brumberg

    1. Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Gives an introduction to the probability theory required to understand frequently used statistical procedures
  • Contains both problems and solutions for each chapter to enhance understanding
  • Provides R code for examples and solutions which the reader can ignore if desired without consequence

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-x
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Statistics and Probability Theory

      • Warren J. Ewens, Katherine Brumberg
      Pages 3-8

  3. Probability Theory

    1. Front Matter

      Pages 9-9
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    2. Events

      • Warren J. Ewens, Katherine Brumberg
      Pages 11-12

    3. Probabilities of Events

      • Warren J. Ewens, Katherine Brumberg
      Pages 13-19

    4. Probability: One Discrete Random Variable

      • Warren J. Ewens, Katherine Brumberg
      Pages 21-45

    5. Many Random Variables

      • Warren J. Ewens, Katherine Brumberg
      Pages 47-59

    6. Continuous Random Variables

      • Warren J. Ewens, Katherine Brumberg
      Pages 61-82

  4. Statistics

    1. Front Matter

      Pages 83-83
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    2. Introduction

      • Warren J. Ewens, Katherine Brumberg
      Pages 85-85

    3. Estimation of a Parameter

      • Warren J. Ewens, Katherine Brumberg
      Pages 87-114

    4. Testing Hypotheses About the Value of a Parameter

      • Warren J. Ewens, Katherine Brumberg
      Pages 115-135

    5. Testing for the Equality of Two Binomial Parameters

      • Warren J. Ewens, Katherine Brumberg
      Pages 137-156

    6. Chi-Square Tests (i): Tables Bigger Than Two-by-Two

      • Warren J. Ewens, Katherine Brumberg
      Pages 157-162

    7. Chi-Square Tests (ii): Testing for a Specified Probability Distribution

      • Warren J. Ewens, Katherine Brumberg
      Pages 163-171

    8. Tests on Means

      • Warren J. Ewens, Katherine Brumberg
      Pages 173-203

    9. Non-parametric Tests

      • Warren J. Ewens, Katherine Brumberg
      Pages 205-217

  5. Back Matter

    Pages 219-273
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Keywords

About this book

This book describes the probability theory associated with frequently used statistical procedures and the relation between probability theory and statistical inference. The first third of the book is dedicated to probability theory including topics relating to events, random variables, and the Central Limit Theorem. Statistical topics then include parameter estimation with confidence intervals, hypothesis testing, chi-square tests, t tests, and several non-parametric tests. Flow charts are frequently used to facilitate an understanding of the material considered. The examples and problems in the book all concern simple data sets which can be analyzed with a simple calculator; however, the R code required to complete many examples and problems is provided as well for those that are interested.

Authors and Affiliations

  • Department of Statistics and Data Science, University of Pennsylvania, Philadelphia, USA

    Warren J. Ewens, Katherine Brumberg

About the authors

Warren Ewens is an Emeritus Professor of Biology at the University of Pennsylvania. His research interests focus on the use of Statistics in genetics, in particular in describing the evolutionary process in genetical terms and in DNA sequence analysis.Katherine Brumberg is a PhD candidate in Statistics and Data Science at the Wharton School of the University of Pennsylvania.  Her research interests focus on causal inference, in particular attaining optimal covariate balance in observational studies.

Bibliographic Information

  • Book Title: Introductory Statistics for Data Analysis

  • Authors: Warren J. Ewens, Katherine Brumberg

  • DOI: https://doi.org/10.1007/978-3-031-28189-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-28188-4Published: 13 May 2023

  • Softcover ISBN: 978-3-031-28191-4Due: 13 June 2023

  • eBook ISBN: 978-3-031-28189-1Published: 12 May 2023

  • Edition Number: 1

  • Number of Pages: X, 273

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Statistical Theory and Methods, Biostatistics, Biostatistics

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