Statistical Methods in Biology

Design and Analysis of Experiments and Regression

S.J. Welham, S.A. Gezan, S.J. Clark, A. Mead

• Publisher: Chapman and Hall/CRC
• Year: 2014
• Print ISBN:
  9781439808788
• eBook ISBN:
  9781040062326
• Topic: Mathematics
• Subtopic: Biology
• Index: Mathematics

Written in simple language with relevant examples, this illustrative introductory book presents best practices in experimental design and simple data analysis. Taking a practical and intuitive approach, it only uses mathematical formulae to formalize the methods where necessary and appropriate. The text features extended discussions of examples that include real data sets arising from research. The authors analyze data in detail to illustrate the use of basic formulae for simple examples while using the GenStat statistical package for more complex examples. Each chapter offers instructions on how to obtain the example analyses in GenStat and R.

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Dedication
• Table of Contents
• Preface
• Authors
• 1 Introduction
• 2 A Review of Basic Statistics
• 3 Principles for Designing Experiments
• 4 Models for a Single Factor
• 5 Checking Model Assumptions
• 6 Transformations of the Response
• 7 Models with a Simple Blocking Structure
• 8 Extracting Information about Treatments
• 9 Models with More Complex Blocking Structure
• 10 Replication and Power
• 11 Dealing with Non-Orthogonality
• 12 Models for a Single Variate: Simple Linear Regression
• 13 Checking Model Fit
• 14 Models for Several Variates: Multiple Linear Regression
• 15 Models for Variates and Factors
• 16 Incorporating Structure: Linear Mixed Models
• 17 Models for Curved Relationships
• 18 Models for Non-Normal Responses: Generalized Linear Models
• 19 Practical Design and Data Analysis for Real Studies
• References
• Appendix A: Data Tables
• Appendix B: Quantiles of Statistical Distributions
• Appendix C: Statistical and Mathematical Results
• Index