A student's guide to analysis of variance / Maxwell J. Roberts and Riccardo Russo.

Format:

Book

Author/Creator:

Roberts, Maxwell J.

Contributor:

Russo, Riccardo.

Language:

English

Subjects (All):

Analysis of variance.

Physical Description:

xix, 265 pages : illustrations ; 23 cm

Place of Publication:

London ; New York : Routledge, 1999.

Summary:

Analysis of Variance (ANOVA) is one of the most widely used statistical tests in psychology and other behavioral sciences. "A Student's Guide to Analysis of Variance" clearly and simply explains how to conduct and interpret ANOVA. It includes information on how to conduct ANOVA for a range of research designs, use follow-up tests, make sense of interactions and write formal reports. It also offers many valuable hints on how to make the best of the techniques available and how best to avoid pitfalls.

Contents:

2 Averages, measures of dispersal and the t-test 9

Summarising data 9

Distribution 10

Variability 13

Testing for differences with the t-test 17

Intuitive statistics 22

Using one- and two-tailed tests 23

A note on statistical power 27

3 Using variance to test hypotheses 30

4 Calculating F ratios for one-factor between-subjects designs 41

5 One-factor between-subjects ANOVA: advanced topics 62

ANOVA and the central limit theorem 62

Assumptions underlying ANOVA 69

Dealing with rogue data 75

6 Following up a one-factor between-subjects ANOVA 82

The meanings of ANOVA outcomes 82

Pairwise comparisons for single-factor designs: planned comparisons and post-hoc testing 84

Making comparisons between every possible pair of means 92

Linear contrast analysis for single-factor designs 98

7 Calculating F ratios for one-factor within-subjects designs 110

Sources of error variability 112

Calculating F for a within-subjects design 118

Planned comparisons and post-hoc testing 128

8 An introduction to factorial designs and interactions 134

Outcomes of factorial designs 137

Managing factorial designs 148

9 Calculating F ratios for two-factor between-subjects designs 153

Analysing a 2 [times] 2 between-subjects factorial design 156

10 Following up a two-factor between-subjects ANOVA 172

Some pitfalls in interpreting interactions 191

11 Interpreting two-factor mixed and within-subjects designs 194

12 Interpreting a three-factor ANOVA 211

13 Summary and frequently asked questions 224

A summary of follow-up tests for Analysis of Variance 224

Appendix A Writing up the results of Analysis of Variance 233.

Notes:

Includes bibliographical references (page [260]) and index.

ISBN:

0415165644

0415165652

OCLC:

39398686