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.
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This practical tool for statisticians offers techniques and methods for analyzing non-standard or messy data sets that arise from experimental design situations. Topics discussed include analysis of variance techniques, such as one- and two-way analyses of variance and multiple-comparison procedures. The book introduces each topic with several examples, follows up with a more theoretical discussion, and concludes with a case study. It emphasizes the distinction between design structure and the structure of treatments, and focuses on practical implementation, including computers, with several available statistical packages, including SAS, BMD and SPSS.
Analyzing Two-Way Treatment Structures with One Observation Per Treatment Combination
The Multiplicative Interaction Model
More on the Analysis of Multiplicative Interaction Models
Half-Normal Plots
Analyzing a Two-Way Treatment Structure in a Split-Plot Design with No Replications
A Three-Way Treatment Structure with No Replications
2n Factorial Treatment Structures
Blocking 2n Factorial Treatment Structures
Fractional Replications of 2^n Factorial Treatment Structures
Polynomial Model Approximations
Quadratic Response Surface Models
Appendices
References
Index
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