A Student's Guide to Analysis of Variance

Front Cover
Psychology Press, 1999 - Mathematics - 265 pages

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.

 

Selected pages

Contents

Averages measures of dispersal and the ttest
9
2
23
Using variance to test hypotheses 309
30
advanced topics 62 2
62
Following up a onefactor betweensubjects ANOVA
82
Calculating F ratios for onefactor withinsubjects
110
6
114
11
127
Calculating F ratios for twofactor betweensubjects
153
Following up a twofactor betweensubjects ANOVA
172
Interpreting twofactor mixed and withinsubjects
194
Interpreting a threefactor ANOVA
211
Summary and frequently asked questions
224
Writing up the results of Analysis
233
A3 Specimen results section for the letter deletion
238
Notes 258

An introduction to factorial designs and interactions
134
Copyright

Other editions - View all

A Student's Guide to Analysis of Variance
Maxwell J. Roberts,Riccardo Russo
Limited preview - 2014
A Student's Guide to Analysis of Variance
Maxwell J. Roberts,Riccardo Russo
Limited preview - 1999
A Student's Guide to Analysis of Variance
Maxwell J. Roberts,Riccardo Russo
Limited preview - 2014

Common terms and phrases

A₁ A₂ Analysis of Variance ANOVA table assumption B₁ basic ratio between-group Sum between-group variance Bonferroni adjustment calculate cell means Chapter compared contrast analysis critical value degrees of freedom equation example data experiment experimental error expertise F ratio factorial design familywise Type Figure follow-up tests grand mean graph Hence independent variable interaction plot Level A2 Level B₂ level means Mean Square Mean Square ERROR mnemonic non-significant novices null hypothesis number of levels number of scores number of subjects outcome pair of means pairwise comparisons performance planned comparisons population position type possible post-hoc tests prediction problem random errors random positions real positions S₁ shows significance level significant difference significant effect significant main effect simple main effects SOURCE Sum SSBETWEEN SSTOTAL standard deviations statistical tests Sum of Squares t-test test the significance three-way interaction treatment effects Tukey test two-factor two-tailed Type I Error within-group variance within-subjects design ΣΑ

References to this book

Bibliographic information

TitleA Student's Guide to Analysis of Variance
AuthorsMaxwell J. Roberts, Riccardo Russo
Editionillustrated, reprint
PublisherPsychology Press, 1999
ISBN0415165652, 9780415165655
Length265 pages
Subjects ›  › 

Mathematics / Probability & Statistics / General
Psychology / General
Psychology / Research & Methodology
Psychology / Statistics
  
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