A Student's Guide to Analysis of Variance

by Roberts,Maxwell

• ISBN13: 9780415165655
• ISBN10: 0415165652
• eBook ISBN(s): 9781317725053
• Additional ISBN(s): 9781317725053
• Edition: Student
• Format: Paperback
• Copyright: 1999-03-16
• Publisher: Routledge

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 Varianceclearly 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.

Author Biography

Maxwell J. Roberts and Riccardo Russo are experienced teachers of research methods and statistics. Both are lecturers in psychology at the University of Essex

Table of Contents

List of figures	x
List of tables	xiii
List of boxes	xv
Preface	xvii
Acknowlegements	xx
Introduction	1	(8)
Averages, measures of dispersal and the t-test	9	(21)
Summarising data	9	(1)
Distribution	10	(3)
Variability	13	(4)
Testing for differences with the t-test	17	(5)
Intuitive statistics	22	(1)
Using one- and two-tailed tests	23	(4)
A note on statistical power	27	(3)
Using variance to test hypotheses	30	(11)
Calculating F rations for one-factor between-subjects designs	41	(21)
One-factor between-subjects ANOVA: advance topics	62	(20)
ANOVA and the central limit theorem	62	(7)
Assumptions underlying ANOVA	69	(6)
Dealing with rogue data	75	(7)
Following up a one-factor between-subject Anova	82	(28)
The meanings of Anova outcomes	82	(2)
Pairwise comparisons for single-factor designs: planned comparisons and post-hoc testing	84	(8)
Making comparisons between every possible pair of means	92	(6)
Linear contrast analysis for single-factor designs	98	(12)
Calculating F ratios for one-factor within-subjects designs	110	(24)
Sources of error variability	112	(6)
Calculating F for a within-subjects design	118	(10)
Planned comparisons and post-hoc testing	128	(6)
An introduction to factorial designs and interactions	134	(19)
Outcomes of factorial designs	137	(11)
Managing factorial designs	148	(5)
Calculating F rations for two-factor between-subjects designs	153	(19)
Analysing a 2 X 2 between-subjects factorial design	156	(16)
Following up a two-factor between-subjects Anova	172	(22)
Some pitfalls in interpreting interactions	191	(3)
Interpreting two-factor mixed and within-subjects designs	194	(17)
Interpreting a three-factor Anova	211	(13)
Summary and frequently asked questions	224	(9)
A summary of follow-up tests for Analysis of Variance	224	(3)
Frequently asked questions	227	(6)
Appendix A: Writing up the results of Analysis of Variance	233	(11)
Appendix B: Statistical tables	244	(14)
Notes	258	(2)
References	260	(1)
Index	261