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Basic Statistics in Multivariate Analysis$
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Karen A. Randolph and Laura L. Myers

Print publication date: 2013

Print ISBN-13: 9780199764044

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199764044.001.0001

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Analysis of Variance (ANOVA) and Covariance (ANCOVA)

Analysis of Variance (ANOVA) and Covariance (ANCOVA)

(p.133) 6 Analysis of Variance (ANOVA) and Covariance (ANCOVA)
Basic Statistics in Multivariate Analysis

Karen A. Randolph

Laura L. Myers

Oxford University Press

Chapter 6 provides a description of one-way and two-way Analysis of Variance (ANOVA) and Analysis of Covariance (ANCOVA) statistical procedures. The chapter includes a presentation on the basic statistics that inform one-way ANOVA (i.e., the mean and the variance), components of the ANOVA summary table, estimation procedures, required assumptions, planned and post-hoc comparisons, and examples of the use of one-way ANOVA in social work research. Building on this, the next section provides an explanation of two-way ANOVA, including main and interaction effects, estimation procedures, required assumptions, and multiple comparisons as well as a description of examples of the use of two-way ANOVA in social work research. ANCOVA is covered in the third section, including basic statistics (i.e., adjusted mean and partitioned variance), the important role of the covariate, required assumptions as a consequence of including a covariate in the model, and ANCOVA examples from social work research. The final section provides step-by-step instructions for running one-way ANOVA in SPSS, using data from the National Education Longitudinal Study of 1988.

Keywords:   anova, ancova, analysis of covariance, mean, one-way analysis of variance, two-way analysis of variance, variance

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