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A Concise Guide to Statistics

  • Hans-MichaelĀ Kaltenbach

Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Hans-Michael Kaltenbach
    Pages 1-27
  3. Hans-Michael Kaltenbach
    Pages 29-51
  4. Hans-Michael Kaltenbach
    Pages 53-75
  5. Hans-Michael Kaltenbach
    Pages 77-108
  6. Back Matter
    Pages 109-111

About this book

Introduction

The text gives a concise introduction into fundamental concepts in statistics. Chapter 1: Short exposition of probability theory, using generic examples. Chapter 2: Estimation in theory and practice, using biologically motivated examples. Maximum-likelihood estimation in covered, including Fisher information and power computations. Methods for calculating confidence intervals and robust alternatives to standard estimators are given. Chapter 3: Hypothesis testing with emphasis on concepts, particularly type-I , type-II errors, and interpreting test results. Several examples are provided. T-tests are used throughout, followed important other tests and robust/nonparametric alternatives. Multiple testing is discussed in more depth, and combination of independent tests is explained. Chapter 4: Linear regression, with computations solely based on R. Multiple group comparisons with ANOVA are covered together with linear contrasts, again using R for computations.

Keywords

Estimation Hypothesis testing Multiple Testing Probability theory Regression

Authors and affiliations

  • Hans-MichaelĀ Kaltenbach
    • 1
  1. 1.BaselSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-23502-3
  • Copyright Information Hans-Michael Kaltenbach 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-23501-6
  • Online ISBN 978-3-642-23502-3
  • Series Print ISSN 2191-544X
  • Series Online ISSN 2191-5458
  • Buy this book on publisher's site