Introducing ANOVA and ANCOVA
Subtitle: a GLM approach
By: Andrew Rutherford.
Series: Introducing statistical methods; ISM (London, England)
Publisher: SAGE
Published: 2001
Place of publication: London  ; Thousand Oaks, Calif
Language: eng
Number of pages: 182
Subjects: Analysis of variance.; Analysis of covariance.
Notes: Includes bibliographical references (p. [173]-177) and index.
Index sheets need inserting.
Table of contents: title: Machine generated contents note: 1 AN INTRODUCTION TO GENERAL LINEAR MODELS: REGRESSION, ANALYSIS; title: OF VARIANCE AND ANALYSIS OF COVARIANCE; title: 1.1 Regression, analysis of variance and analysis of covariance; title: 1.2 A pocket history of regression, ANOVA and ANCOVA; title: 1.3 An outline of general linear models (GLMs); title: 1.3.1 Regression analysis; title: 1.3.2 Analysis of variance; title: 1.3.3 Analysis of covariance; title: 1.4 The "general" in GLM; title: 1.5 The "linear" in GLM; title: 1.6 Least squares estimates; title: 1.7 Fixed, random and mixed effects analyses; title: 1.8 The benefits of a GLM approach to ANOVA and ANCOVA; title: 1.9 The GLM presentation; title: 1.10 Statistical packages for computers; title: 2 TRADITIONAL AND GLM APPROACHES TO INDEPENDENT MEASURES SINGLE; title: FACTOR ANOVA DESIGNS; title: 2.1 Independent measures designs; title: 2.1.1 Factors and independent variables; title: 2.2 Traditional ANOVA for single factor designs; title: 2.2.1 Variance; title: 2.2.2 Example; title: 2.3 GLM approaches to single factor ANOVA; title: 2.3.1 Experimental design GLMs; title: 2.3.2 Estimating effects by comparing full and reduced experimental; title: design GLMs; title: 2.3.3 Regression GLMs; title: 2.3.4 Cell mean GLMs; title: 2.3.5 Cell mean, regression and experimental desigh GLMs; title: 3 GLM APPROACHES TO INDEPENDENT MEASURES FACTORIAL ANOVA; title: DESIGNS; title: 3.1 Factorial designs; title: 3.2 Factor main effects and factor interactions; title: 3.2.1 Estimating effects by comparing full and reduced experimental; title: design GLMs; title: 3.3 Regression GLMs for factorial ANOVA; title: 3.3.1 Estimating main and interaction effects with regression GLMs; title: 4 GLM APPROACHES TO REPEATED MEASURES DESIGNS; title: 4.1 Related measures designs; title: 4.2 Repeated measures designs; title: 4.3 Order effect controls; title: 4.3.1 Counterbalancing; title: 4.3.2 Randomization; title: 4.4 The GLM approach to single factor repeated measures designs; title: 4.5 Estimating effects by comparing full and reduced single factor repeated; title: measures design GLMs; title: 4.6 Regression GLMs for single factor repeated measures designs; title: 5 GLM APPROACHES TO FACTORIAL REPEATED MEASURES DESIGNS; title: 5.1 Factorial related measures designs; title: 5.2 The fully related factorial design GLM; title: 5.3 Estimating effects by comparing full and reduced fully related factorial; title: experimental design GLMs; title: 5.4 Regression GLMs for the fully related factorial ANOVA; title: 5.5 Mixed factorial ANOVA; title: 5.6 Estimating effects by comparing full and reduced mixed factorial; title: experimental design GLMs; title: 5.7 Regression GLM for the mixed factorial ANOVA; title: 6 THE GLM APPROACH TO ANCOVA; title: 6.1 The nature of ANCOVA; title: 6.2 Single factor independent measures ANCOVA designs; title: 6.3 Estimating effects by comparing full and reduced single factor; title: independent measures ANCOVA GLMs; title: 6.4 Regression GLMs for the single factor independent measures; title: ANCOVA; title: 6.5 Other ANCOVA designs; title: 6.5.1 Related measures ANCOVA designs; title: 6.5.2 Mixed measures factorial ANCOVA; title: 7 ASSUMPTIONS UNDERLYING ANOVA, TRADITIONAL ANCOVA AND GLMS; title: 7.1 ANOVA and GLM assumptions; title: 7.1.1 Independent measures; title: 7.1.2 Related measures; title: 7.1.3 Traditional ANCOVA; title: 7.2 A strategy for checking ANOVA and traditional ANCOVA assumptions; title: 7.3 Assumption checks and some assumption violation consequences; title: 7.3.1 ANOVA and ANCOVA; title: 7.3.2 Traditional ANCOVA; title: 8 SOME ALTERNATIVES TO TRADITIONAL ANCOVA; title: 8.1 Alternatives to traditional ANCOVA; title: 8.2 The heterogeneous regression problem; title: 8.3 The heterogeneous regression ANCOVA GLM; title: 8.4 Single factor independent measures heterogeneous regression; title: ANCOVA; title: 8.5 Estimating heterogeneous regression ANCOVA effects; title: 8.6 Regression GLMs for heterogeneous ANCOVA; title: 8.7 Covariate-experimental condition relations; title: 8.7.1 Multicollinearity; title: 8.8 Other alternatives; title: 8.8.1 Stratification (blocking); title: 8.8.2 Replacing the experimental conditions with the covariate; title: 8.9 The role of ANCOVA; title: 9 FURTHER ISSUES IN ANOVA AND ANCOVA; title: 9.1 Power; title: 9.1.1 Optimal experimental designs; title: 9.1.2 Normality violations; title: 9.1.3 Main effects and interactions; title: 9.2 Error rate and the omnibus F-tests; title: 9.3 Error rate and multiple comparisons; title: 9.4 The role of the omnibus F-test; title: REFERENCES; title: INDEX.