Statistics is arguably the main means through which maths appears in non-maths courses. So many students across a broad range of disciplines encounter statistics, in most cases unexpectedly so, and will need to brush up their skills in order to research, analyse and present their data effectively. Topics such as such as methods of presentation, distributions, confidence limits and so on appear very often - and almost every course involves analysis of data at some point.
De-mystifying the basics for even the most maths-terrified of students, this book will inspire confident and accurate use of statistics for non-maths courses.
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Autorentext
Steve Lakin is an award-winning lecturer in Mathematics at the University of Glamorgan, where he specialises in teaching basic mathematics and statistics to a wide range of students across all courses and subjects.
Inhalt
- Preface and acknowledgements
- How to use this book
- A note on mathematics, calculators and computer software
- Introductory statistics
- 1. Introduction to statistics and data
- 2. Presentation of data
- 3. Averages
- 4. Cumulative frequencies and percentiles
- 5. Measures of dispersion
- 6. Working with frequency distributions
- Essential mathematics
- 7. Factorials, permutations and combinations
- 8. Sigma notation
- Correlation and regression
- 9. Correlation
- 10. Linear regression
- Probability
- 11. An introduction to probability
- 12. Multiple probabilities
- 13. Probability trees
- 14. Expected values and decision criteria
- 15. Conditional probability
- Probability distributions
- 16. Introduction to probability distributions
- 17. The Poisson distribution
- 18. The normal distribution
- 19. The binormal distribution
- Hypothesis testing
- 20. Introduction to hypothesis testing.
- 21. z-tests
- 22. t-tests
- 23. tests
- 24. F-tests. The use of F-tests for comparison of variances
- Statistical Tables
- Table A - The normal distribution N(0, 1)
- Table B - Confidence limits for the z-test
- Table C1 - The one-tailed t-test
- Table C2 - The two-tailed t-test
- Table D - Critical values for the distribution
- Table E1 - Critical values for the F-test (5%)
- Table E2 - Critical values for the F-test (1%)
- Summary, glossary and appendices
- Summary and further work
- Glossary
- Appendix 1 - 'Use of a calculator' test
- Appendix 2 - The Greek alphabet
- Appendix 3 - Some useful Excel commands
- Solutions to exercises