How to Use Statistics
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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.
Preface and acknowledgements
How to use this book
A note on mathematics, calculators and computer software
1. Introduction to statistics and data
2. Presentation of data
4. Cumulative frequencies and percentiles
5. Measures of dispersion
6. Working with frequency distributions
7. Factorials, permutations and combinations
8. Sigma notation
Correlation and regression
10. Linear regression
11. An introduction to probability
12. Multiple probabilities
13. Probability trees
14. Expected values and decision criteria
15. Conditional probability
16. Introduction to probability distributions
17. The Poisson distribution
18. The normal distribution
19. The binormal distribution
20. Introduction to hypothesis testing.
24. F-tests. The use of F-tests for comparison of variances
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 ÷2 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
Appendix 1 - 'Use of a calculator' test
Appendix 2 - The Greek alphabet
Appendix 3 - Some useful Excel commands
Solutions to exercises
· Tips, examples, checklists, Try This boxes, 2 colour design.
· A common sense, no-nonsense approach that gives students immediate access to the information they need. Relevant content with a focus on key issues and instant solutions.
· Each topic is matched to an issue, event or assignment that the student will want to read up on at a time of need.
· Each topic will only be a few pages long with practical lists and tips.
· Updated and revised content throughout.
· Annotated table of contents to help readers find exactly what they need.
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.