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• Title Page
• Table of Contents
• Preface
• PART I STATISTICS BASICS
• 1 Introduction
• 1.1 Do you need statistics?
• 1.2 What is statistics?
• 1.3 Some important lessons I have learnt
• 1.4 Statistics is getting easier
• 1.5 Integrity in statistics
• 1.6 About this book
• 2 A Brief Tutorial on Statistics
• 2.1 Introduction
• 2.2 Variability
• 2.3 Samples and populations
• 2.4 Summary statistics
• 2.5 The basis of statistical tests
• 2.6 Limitations of statistical tests
• 3 Before You Start
• 3.1 Introduction
• 3.2 What statistical methods are available?
• 3.3 Surveys and experiments
• 3.4 Designing experiments and surveys – preliminaries
• 3.5 Summary
• 4 Designing an Experiment or Survey
• 4.1 Introduction
• 4.2 Sample size
• 4.3 Sampling
• 4.4 Experimental design
• 4.5 Further reading
• 5 Exploratory Data Analysis and Data Presentation
• 5.1 Introduction
• 5.2 Column graphs
• 5.3 Line graphs
• 5.4 Scatter graphs
• 5.5 General points about graphs
• 5.6 Tables
• 5.7 Standard errors and error bars
• 6 Common Assumptions or Requirements of Data for Statistical Tests
• 6.1 Introduction
• 6.2 Common assumptions
• 6.3 Transforming data
• PART II STATISTICAL METHODS
• 7 I-tests and F-tests
• 7.1 Introduction
• 7.2 Limitations and assumptions
• 7.3 t-tests
• 7.4 F-test
• 7.5 Further reading
• 8 Analysis of Variance
• 8.1 Introduction
• 8.2 Limitations and assumptions
• 8.3 One-way ANaYA
• 8.4 Multiway ANaYA
• 8.5 Further reading
• 9 Correlation and Regression
• 9.1 Introduction
• 9.2 Limitations and assumptions
• 9.3 Pearson’s product moment correlation
• 9.4 Simple linear regression
• 9.5 Correlation or regression?
• 9.6 Multiple linear regression
• 9.7 Comparing two lines
• 9.8 Fitting curves
• 9.9 Further reading
• 10 Multivariate ANOVA
• 10.1 Introduction
• 10.2 Limitations and assumptions
• 10.3 Null hypothesis
• 10.4 Description of the test
• 10.5 Interpreting the results
• 10.6 Further reading
• 11 Repeated Measures
• 11.1 Introduction
• 11.2 Methods for analysing repeated measures data
• 11.3 Designing repeated measures experiments
• 11.4 Further reading
• 12 Chi-square Tests
• 12.1 Introduction
• 12.2 Limitations and assumptions
• 12.3 Goodness of fit test
• 12.4 Test for association between two factors
• 12.5 Comparing proportions
• 12.6 Further reading
• 13 Non-parametric Tests
• 13.1 Introduction
• 13.2 Limitations and assumptions
• 13.3 Mann-Whitney U-test
• 13.4 Two-sample Kolmogorov-Smirnov test
• 13.5 Two-sample sign test
• 13.6 Kruskal-Wallis test
• 13.7 Friedman’s test
• 13.8 Spearman’s rank correlation
• 13.9 Further reading
• 14 Principal Component Analysis
• 14.1 Introduction
• 14.2 Limitations and assumptions
• 14.3 Description of the method
• 14.4 Interpreting the results
• 14.5 Further reading
• 15 Cluster Analysis
• 15.1 Introduction
• 15.2 Limitations and assumptions
• 15.3 Clustering observations
• 15.4 Clustering variables
• 15.5 Further reading
• APPENDICES
• A Calculations for statistical tests
• B Concentration data for Chapters 14 and 15
• C Using computer packages
• D Choosing a test: decision table
• E List of worked examples
• Bibliography
• Index