George A. Milliken, Dallas E. Johnson

Analysis of Messy Data, Volume III

Analysis of Covariance

• Gebundenes Buch

Produktbeschreibung

Analysis of covariance is a very useful but often misunderstood methodology for analyzing data where important characteristics of the experimental units are measured but not included as factors in the design. Analysis of Messy Data, Volume 3: Analysis of Covariance takes the unique approach of treating the analysis of covariance problem by looking at a set of regression models, one for each of the treatments or treatment combinations. Using this strategy, analysts can use their knowledge of regression analysis and analysis of variance to help attack the problem. The authors describe the strategy for one- and two-way treatment structures with one and multiple covariates in a completely randomized design structure. They present new methods for comparing models and sets of parameters, including beta-hat models. They carefully investigate the effect of blocking, explore mixed models, and present a new methodology for using covariates to analyze data from nonreplicated experiments. Analysis of covariance provides an invaluable set of strategies for analyzing data. With its careful balance of theory and examples, Analysis of Messy Data: Volume 3 provides a unique and outstanding guide to the strategy's techniques, theory, and application.

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Produktdetails

• Verlag: Chapman and Hall/CRC
• Seitenzahl: 624
• Erscheinungstermin: 29. August 2001
• Englisch
• Abmessung: 240mm x 161mm x 38mm
• Gewicht: 1092g
• ISBN-13: 9781584880837
• ISBN-10: 158488083X
• Artikelnr.: 21536914

Autorenporträt

George A. Milliken, Dallas E. Johnson

Inhaltsangabe

Introduction to the Analysis of Covariance. One-Way Analysis of
Covariance-One Covariate in a Completely Randomized Design Structure.
Examples: One-Way Analysis of Covariance-One Covariate in a Completely
Randomized Design Structure. Multiple Covariates in a One-Way Treatment
Structure in a Completely Randomized Design Structure
Two-Way Treatment Structure and Analysis of Covariance in a Completely
Randomized Design Structure. Beta-Hat Models. Variable Selection in the
Analysis of Covariance Models. Comparing Models for Several Treatments. Two
Treatments in a Randomized Complete Block Design Structure. More that Two
Treatments in a Blocked Design Structure. Covariates Measured on the Block
in RCB and Incomplete Block Design Structures. Random Effects Models with
Covariates. Mixed Models. Analysis of Covariance Models with Heterogeneous
Errors. Analysis of Covariance for Split-Plot and Strip-Plot Design
Structures. Analysis of Covariance for Repeated Measures Designs. Analysis
of Covariance for Nonreplicated Experiments. Special Applications of
Analysis of Covariance.