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This book is a completely revised and updated version of this invaluable text which allows science students to extend necessary skills and techniques, with the topics being developed through examples in science which are easily understood by students from a range of disciplines. The introductory approach eases students into the subject, progressing to cover topics relevant to first and second year study and support data analysis for final year projects.The revision of the material in the book has been matched, on the accompanying website, with the extensive use of video, providing worked answers to over 200 questions in the book plus additional tutorial support. The second edition has also improved the learning approach for key topic areas to make it even more accessible and user-friendly, making it a perfect resource for students of all abilities. The expanding website provides a wide range of support material, providing a study environment within which students can develop their independent learning skills, in addition to providing resources that can be used by tutors for integration into other science-based programmes.
List of contents
Preface
On-line Learning Support
1 Mathematics and Statistics in Science
1.1 Data and Information
1.2 Experimental Variation and Uncertainty
1.3 Mathematical Models in Science
2 Scientific Data
2.1 Scientific Numbers
2.2 Scientific Quantities
2.3 Chemical Quantities
2.4 Angular Measurements
3 Equations in Science
3.1 Basic Techniques
3.2 Rearranging Simple Equations
3.3 Symbols
3.4 Further Equations
3.5 Quadratic and Simultaneous Equations
4 Linear Relationships
4.1 Straight Line Graph
4.2 Linear Regression
4.3 Linearization
5 Logarithmic and Exponential Functions
5.1 Mathematics of e, ln and log
5.2 Exponential Growth and Decay
6 Rates of Change
6.1 Rate of Change
6.2 Differentiation
7 Statistics for Science
7.1 Analysing Replicate Data
7.2 Describing and Estimating
7.3 Frequency Statistics
7.4 Probability
7.5 Factorials, Permutations and Combinations
8 Distributions and Uncertainty
8.1 Normal Distribution
8.2 Uncertainties in Measurement
8.3 Presenting Uncertainty
8.4 Binomial and Poisson Distributions
9 Scientific Investigation
9.1 Scientific Systems
9.2 The 'Scientific Method'
9.3 Decision Making with Statistics
9.4 Hypothesis Testing
9.5 Selecting Analyses and Tests
10 t -tests and F -tests
10.1 One-sample t -tests
10.2 Two-sample t -tests
10.3 Paired t -tests
10.4 F -tests
11 ANOVA - Analysis of Variance
11.1 One-way ANOVA
11.2 Two-way ANOVA
11.3 Two-way ANOVA with Replication
11.4 ANOVA Post Hoc Testing
12 Non-parametric Tests for Medians
12.1 One-sample Wilcoxon Test
12.2 Two-sample Mann-Whitney U -test
12.3 Paired Wilcoxon Test
12.4 Kruskal-Wallis and Friedman Tests
13 Correlation and Regression
13.1 Linear Correlation
13.2 Statistics of Correlation and Regression
13.3 Uncertainty in Linear Calibration
14 Frequency and Proportion
14.1 Chi-squared Contingency Table
14.2 Goodness of Fit
14.3 Tests for Proportion
15 Experimental Design
15.1 Principal Techniques
15.2 Planning a Research Project
Appendix I: Microsoft Excel
Appendix II: Cumulative z -areas forStandard Normal Distribution
Appendix III: Critical Values: t -statistic and Chi-squared, 2
Appendix IV: Critical F -values at 0.05(95 %) Significance
Appendix V: Critical Values at 0.05 (95 %) Significance for:Pearson's Correlation Coefficient, r , Spearman's Rank Correlation Coefficient, r S , and Wilcoxon Lower Limit, W L
Appendix VI: Mann-Whitney Lower Limit, U L , at 0.05 (95 %) Significance
Short Answers to 'Q' Questions
Index
About the author
Graham Currell was a Principal Lecturer in physics at the University of the West of England until his retirement in 2009. During his career, he was involved in the preparation of specialist training programs to support staff in university science laboratories in Asia, the Middle East, Africa and Central America. Since 2000, he has concentrated on the development of data analysis modules and self-study materials for students.
Antony Dowman is the author of
Essential Mathematics and Statistics for Science, 2nd Edition, published by Wiley.
