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Researchers often do not analyze nonreplicated experiments
statistically because they are unfamiliar with existing statistical
methods that may be applicable. Analysis of Messy Data, Volume II
details the statistical methods appropriate for nonreplicated
experiments and explores ways to use statistical software to make
the required computations feasible.
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.
From the Chapman & Hall Microbiology Series this unique
resource offers specific experimental and practical applications of
mathematical modeling in microbial ecology. The text presents a
variety of systems, ranging from subcellular systems to ecosystems,
and shows how to test whether the models provide a good
representation of the system. The book also encourages further
development and application of modeling to burgeoning problems
associated with microbial ecology, such as the pollution and
destruction of pesticides and herbicides.
Researchers often do not analyze nonreplicated experiments statistically because they are unfamiliar with existing statistical methods that may be applicable. Analysis of Messy Data, Volume II details the statistical methods appropriate for nonreplicated experiments and explores ways to use statistical software to make the required computations feasible.
A bestseller for nearly 25 years, Analysis of Messy Data, Volume 1:
Designed Experiments helps applied statisticians and researchers
analyze the kinds of data sets encountered in the real world.
Written by two long-time researchers and professors, this second
edition has been fully updated to reflect the many developments
that have occurred since the original publication. New to the
Second Edition Several modern suggestions for multiple comparison
procedures Additional examples of split-plot designs and repeated
measures designs The use of SAS-GLM to analyze an effects model The
use of SAS-MIXED to analyze data in random effects experiments,
mixed model experiments, and repeated measures experiments The book
explores various techniques for multiple comparison procedures,
random effects models, mixed models, split-plot experiments, and
repeated measures designs. The authors implement the techniques
using several statistical software packages and emphasize the
distinction between design structure and the structure of
treatments. They introduce each topic with examples, follow up with
a theoretical discussion, and conclude with a case study. Bringing
a classic work up to date, this edition will continue to show
readers how to effectively analyze real-world, nonstandard data
sets.
From the Chapman & Hall Microbiology Series this unique
resource offers specific experimental and practical applications of
mathematical modeling in microbial ecology. The text presents a
variety of systems, ranging from subcellular systems to ecosystems,
and shows how to test whether the models provide a good
representation of the system. The book also encourages further
development and application of modeling to burgeoning problems
associated with microbial ecology, such as the pollution and
destruction of pesticides and herbicides.
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