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PRINTED BOOKS
Author Cardinal, Rudolf N.

Title ANOVA for the behavioural sciences researcher / Rudolf N. Cardinal, Michael R. F. Aitken.

Published Mahwah, N.J. : L. Erlbaum, 2006.

Copies

Location Call No. Status
 UniM ERC  519.538 CARD    AVAILABLE
Physical description xvi, 448 pages : illustrations ; 23 cm
Bibliography Includes bibliographical references (pages 435-438) and index.
Contents 1.2 Background knowledge 2 -- 1.3 Supporting Web site 4 -- 1.4 Quick summary: choosing and performing an ANOVA 4 -- Chapter 2 Understanding the Basics 7 -- 2.1 Basic logic and assumptions of ANOVA 7 -- 2.2 Calculations behind a one-way ANOVA (one BS factor) 13 -- 2.3 Regression ANOVA: the other way to understand the logic 20 -- 2.4 Factors versus covariates 24 -- 2.5 Assumptions of ANOVA involving covariates 25 -- 2.6 ANOVA with two between-subjects factors 26 -- 2.7 Within-subjects (repeated measures) ANOVA 35 -- 2.8 Assumptions of within-subjects ANOVA: 'sphericity' 39 -- 2.9 Missing data in designs involving within-subjects factors 42 -- 2.10 Mixed ANOVA (with both BS and WS factors) 43 -- 2.11 Fixed and random factors 48 -- 2.12 Additional material (ADVANCED) 49 -- Chapter 3 Practical Analysis 61 -- 3.1 Reminder: assumptions of ANOVA 61 -- 3.2 Reminder: assumption of ANOVA with WS factors 63 -- 3.3 Consequences of violating the assumptions of ANOVA 64 -- 3.4 Exploratory data analysis and transformations 65 -- 3.5 Performing the ANOVA 71 -- 3.6 Residuals 72 -- 3.7 Further analysis: after the ANOVA has been run 77 -- 3.8 Drawing pictures: error bars for different comparisons 94 -- 3.9 Summarizing your methods: a writing guide 99 -- 3.10 Additional material (ADVANCED) 101 -- Chapter 4 Pitfalls and Common Issues 109 -- 4.1 Time in within-subjects (repeated measures) designs 109 -- 4.2 Analysis of pre-test versus post-test data 109 -- 4.3 Observing subjects repeatedly to increase power 110 -- 4.4 'It's significant in this subject...' 112 -- 4.5 Should I add/remove a factor? Full and reduced models 114 -- 4.6 Should I add/remove/collapse over levels of a factor? 115 -- Chapter 5 Using SPSS for ANOVA 119 -- 5.1 Running ANOVAs using SPSS 119 -- 5.2 Interpreting the output 124 -- 5.3 Further analysis: selecting cases 139 -- 5.4 'intercept', 'total', and 'corrected total' terms 142 -- Chapter 6 Contrasts and Trends 147 -- 6.1 Contrasts 147 -- 6.2 Trend analysis: the effects of quantitative factors 155 -- Chapter 7 Advanced Topics 161 -- 7.1 Rules for calculating sums of squares 161 -- 7.2 Rules for calculating degrees of freedom 163 -- 7.3 Expected mean squares (EMS) and error terms 164 -- 7.4 Unequal group sizes and non-orthogonal sums of squares 174 -- 7.5 How computers perform ANOVA: general linear models 179 -- 7.6 Effect size 202 -- Chapter 8 Specific Designs 215 -- 8.1 One between-subjects (BS) factor 217 -- 8.2 Two BS factors 222 -- 8.3 Three BS factors 225 -- 8.4 One within-subjects (WS) factor 228 -- 8.5 Two WS factors 233 -- 8.6 Three WS factors 238 -- 8.7 One BS and one WS factor 244 -- 8.8 Two BS factors and one WS factor 251 -- 8.9 One BS factor and two WS factors 256 -- 8.10 Other ANOVA designs with BS and/or WS factors 261 -- 8.11 One BS covariate (linear regression) 264 -- 8.12 One BS covariate and one BS factor 271 -- 8.13 One BS covariate and two BS factors 286 -- 8.14 Two or more BS covariates (multiple regression) 289 -- 8.15 Two or more BS covariates and one or more BS factors 292 -- 8.16 One WS covariate 295 -- 8.17 One WS covariate and one BS factor 299 -- 8.18 Hierarchical designs 307 -- 8.19 Latin square designs 328 -- 8.20 Agricultural terminology and designs 351 -- Chapter 9 Mathematics 367 -- 9.1 Matrices 367 -- 9.2 Calculus 374 -- 9.3 Solving a GLM (an overdetermined system of equations) 379 -- 9.4 Singular value decomposition to solve GLMs 382 -- 9.5 Random variables, means, and variances 387 -- 9.6 Harmonic mean 397 -- 9.7 Rules for powers and logarithms 397 -- 9.8 Probability 398 -- Chapter 10 Statistical Tables 403 -- 10.1 Critical values of t 403 -- 10.2 Critical values of F 404 -- 10.3 Polynomial trend coefficients 408.
Other author Aitken, Michael R. F.
Subject Analysis of variance.
ISBN 0805855866