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| Preface | |
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| Statistics Basics | |
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| Introduction | |
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| Do you need statistics? | |
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| What is statistics? | |
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| Some important lessons I have learnt | |
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| Statistics is getting easier | |
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| Integrity in statistics | |
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| About this book | |
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| A Brief Tutorial on Statistics | |
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| Introduction | |
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| Variability | |
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| Samples and populations | |
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| Summary statistics | |
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| The basis of statistical tests | |
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| Limitations of statistical tests | |
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| Before You Start | |
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| Introduction | |
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| What statistical methods are available? | |
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| Surveys and experiments | |
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| Designing experiments and surveys - preliminaries | |
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| Summary | |
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| Designing an Experiment or Survey | |
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| Introduction | |
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| Sample size | |
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| Sampling | |
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| Experimental design | |
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| Further reading | |
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| Exploratory Data Analysis and Data Presentation | |
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| Introduction | |
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| Column graphs | |
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| Line graphs | |
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| Scatter graphs | |
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| General points about graphs | |
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| Tables | |
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| Standard errors and error bars | |
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| Common Assumptions or Requirements of Data for Statistical Tests | |
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| Introduction | |
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| Common assumptions | |
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| Transforming data | |
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| Statistical Methods | |
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| t-tests and F-tests | |
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| Introduction | |
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| Limitations and assumptions | |
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| t-tests | |
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| F-test | |
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| Further reading | |
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| Analysis of Variance | |
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| Introduction | |
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| Limitations and assumptions | |
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| One-way ANOVA | |
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| Multiway ANOVA | |
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| Further reading | |
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| Correlation and Regression | |
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| Introduction | |
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| Limitations and assumptions | |
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| Pearson's product moment correlation | |
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| Simple linear regression | |
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| Correlation or regression? | |
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| Multiple linear regression | |
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| Comparing two lines | |
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| Fitting curves | |
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| Further reading | |
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| Multivariate ANOVA | |
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| Introduction | |
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| Limitations and assumptions | |
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| Null hypothesis | |
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| Description of the test | |
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| Interpreting the results | |
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| Further reading | |
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| Repeated Measures | |
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| Introduction | |
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| Methods for analysing repeated measures data | |
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| Designing repeated measures experiments | |
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| Further reading | |
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| Chi-square Tests | |
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| Introduction | |
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| Limitations and assumptions | |
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| Goodness of fit test | |
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| Test for association between two factors | |
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| Comparing proportions | |
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| Further reading | |
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| Non-parametric Tests | |
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| Introduction | |
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| Limitations and assumptions | |
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| Mann-Whitney U-test | |
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| Two-sample Kolmogorov-Smirnov test | |
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| Two-sample sign test | |
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| Kruskal-Wallis test | |
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| Friedman's test | |
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| Spearman's rank correlation | |
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| Further reading | |
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| Principal Component Analysis | |
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| Introduction | |
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| Limitations and assumptions | |
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| Description of the method | |
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| Interpreting the results | |
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| Further reading | |
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| Cluster Analysis | |
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| Introduction | |
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| Limitations and assumptions | |
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| Clustering observations | |
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| Clustering variables | |
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| Further reading | |
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| Appendices | |
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| Calculations for statistical tests | |
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| Concentration data for Chapters 14 and 15 | |
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| Using computer packages | |
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| Choosing a test: decision table | |
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| List of worked examples | |
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| Bibliography | |
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| Index | |