1st Edition

# A Student's Guide to Analysis of Variance

By Maxwell Roberts, Riccardo Russo Copyright 1999
288 Pages
by Routledge

288 Pages
by Routledge

Also available as eBook on:

In the investigation of human behaviour, statistical techniques are employed widely in the social sciences. Whilst introductory statistics courses cover essential techniques, the complexities of behaviour demand that more flexible and comprehensive methods are also employed. Analysis of Variance (ANOVA) has become one of the most common of these and it is therefore essential for both student and researcher to have a thorough understanding of it.
A Student's Guide to Analysis of Variance covers a range of statistical techniques associated with ANOVA, including single and multiple factor designs, various follow-up procedures such as post-hoc tests, and how to make sense of interactions. Suggestions on the best use of techniques and advice on how to avoid the pitfalls are included, along with guidelines on the writing of formal reports.
Introductory level topics such as standard deviation, standard error and t-tests are revised, making this book an invaluable aid to all students for whom ANOVA is a compulsory topic. It will also serve as a useful refresher for the more advanced student and practising researcher.

List of Figures. List of Tables. List of Boxes. Preface. Acknowledgements. Introduction. Averages, Measures of Dispersal and the t-test. Using Variance to Test Hypotheses. Calculating F Ratios for One-factor Between-subjects Designs. One-factor Between-subjects ANOVA: Advanced Topics. Following up a One-factor Between-subjects ANOVA. Calculating F Ratios for One-factor Within-subjects Designs. An Introduction to Factorial Designs and Interactions. Calculating F Ratios for Two-factor Between-subjects Designs. Following up a Two-factor Between-subjects ANOVA. Interpreting Two-factor Mixed and Within-subjects Designs. Interpreting a Three-factor ANOVA. Summary and Frequently Asked Questions. Appendix A: Writing up the Results of Analysis of Variance. Appendix B: Statistical Tables. Notes. References. Index.

### Biography

Maxwell Roberts, Riccardo Russo

The first 40 pages of this text explain the basics of experimental procedure, samples and populations, hypothesis testing, the mean, variance, t-tests and how variance can be used to look for group differences. The material is handled extremely well and the reader certainly gets a good flavour of this important background information. The chapter on interactions and how to interpret them is one of the best I have seen: it gently guides the reader to a richer understanding of why interactions are so important. A great book for most second-year undergraduate students. - Andy Field, Royal Holloway University of London

This is an attractive and clearly-written book with a certain amount of soul or conviction, even though it is a statistics textbook. - John Goyder, University of Waterloo

This book has proven to be essential in my understanding of ANOVA. Every aspect of analysis of variance is clearly explained and the text is very easy to read and understand. Every new aspect is backed up with worked examples, making it easy to grasp both the simpler and more complex concepts. Particularly useful is the appendix explaining how to present the results of ANOVA's in a formal lab report. This text goes further than standard statistics textbooks and I would recommend it to anyone who has to use ANOVA, whether for the first time or for refreshing your memory! - Psychology undergraduate on Amazon.co.uk