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| Preface | |
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| On-line Learning Support | |
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| Mathematics and Statistics in Science | |
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| Data and Information | |
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| Experimental Variation and Uncertainty | |
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| Mathematical Models in Science | |
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| Scientific Data | |
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| Scientific Numbers | |
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| Scientific Quantities | |
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| Chemical Quantities | |
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| Angular Measurements | |
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| Equations in Science | |
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| Basic Techniques | |
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| Rearranging Simple Equations | |
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| Symbols | |
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| Further Equations | |
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| Quadratic and Simultaneous Equations | |
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| Linear Relationships | |
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| Straight Line Graph | |
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| Linear Regression | |
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| Linearization | |
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| Logarithmic and Exponential Functions | |
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| Mathematics of e, ln and log | |
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| Exponential Growth and Decay | |
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| Rates of Change | |
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| Rate of Change | |
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| Differentiation | |
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| Statistics for Science | |
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| Analysing Replicate Data | |
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| Describing and Estimating | |
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| Frequency Statistics | |
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| Probability | |
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| Factorials, Permutations and Combinations | |
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| Distributions and Uncertainty | |
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| Normal Distribution | |
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| Uncertainties in Measurement | |
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| Presenting Uncertainty | |
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| Binomial and Poisson Distributions | |
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| Scientific Investigation | |
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| Scientific Systems | |
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| The 'Scientific Method' | |
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| Decision Making with Statistics | |
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| Hypothesis Testing | |
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| Selecting Analyses and Tests | |
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| t-tests and F-tests | |
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| One-sample t-tests | |
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| Two-sample t-tests | |
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| Paired t-tests | |
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| F-tests | |
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| ANOVA - Analysis of Variance | |
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| One-way ANOVA | |
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| Two-way ANOVA | |
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| Two-way ANOVA with Replication | |
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| ANOVA Post Hoc Testing | |
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| Non-parametric Tests for Medians | |
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| One-sample Wilcoxon Test | |
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| Two-sample Mann-Whitney U-test | |
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| Paired Wilcoxon Test | |
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| Kruskal-Wallis and Friedman Tests | |
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| Correlation and Regression | |
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| Linear Correlation | |
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| Statistics of Correlation and Regression | |
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| Uncertainty in Linear Calibration | |
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| Frequency and Proportion | |
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| Chi-squared Contingency Table | |
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| Goodness of Fit | |
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| Tests for Proportion | |
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| Experimental Design | |
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| Principal Techniques | |
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| Planning a Research Project | |
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| Microsoft Excel | |
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| Cumulative z -areas for Standard Normal Distribution | |
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| Critical Values: t-statistic and Chi-squared, X<sup>2</sup> | |
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| Critical F-values at 0.05 (95 %) Significance | |
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| Critical Values at 0.05 (95 %) Significance for: Pearson's Correlation Coefficient, r, Spearman's Rank Correlation Coefficient, r<sub>s</sub>, and Wilcoxon Lower Limit, W<sub>L</sub> | |
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| Mann-Whitney Lower Limit, U<sub>L</sub>, at 0.05 (95 %) Significance | |
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| Short Answers to 'Q' Questions | |
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| Index | |