Graphical Analysis of Multi-Response Data

A comprehensive summary of new and existing approaches to analyzing multiresponse data, Graphical Analysis of Multiresponse Data emphasizes graphical procedures. These procedures are then used, in various ways, to analyze, summarize, and present data from a specific, well-known plant breeding trial.These procedures result in overlap plots, their corresponding semigraphical tables, scatter plot matrices, profiles across environments and attributes for individual genotypes and groups of genotypes, and principal components.The interpretation of these displays, as an aid to understanding, is illustrated and discussed. Techniques for choosing expressions for the observed quantities are also emphasized.Graphical Analysis of Multiresponse Data is arranged into three parts:What can usefully be doneConsequences for the exampleApproaches and choices in more detailThat structure enables the reader to obtain an overview of what can be found, and to then delve into various aspects more deeply if desired. Statisticians, data analysts, biometricians, plant breeders, behavioral scientists, social scientists, and engineering scientists will find Graphical Analysis of Multiresponse Data offers invaluable assistance. Its details are also of interest to scientists in private firms, government institutions, and research organizations who are concerned with the analysis and interpretation of experimental multiresponse data.

PART AIntroduction to Part AThe ExampleStyles of AnalysisPART BIntroduction to Part BOverall Behaviour: SPLOMs across Attributes and across EnvironmentsSemigraphical Comparison of Genotypes for ech Attibute-Environment PairProfiles of Individual Genotypes and GroupsSPLOMs for Genotype GroupsRe-Attribution of the Responses on the 43 GenotypesSemigraphical Displays for the Re-Attributed DataRe-EnvionmentingRe-ExpressionPART CIntroduction to Part CGlobal Aspects of the DataData LaundryChoices of ExpressionSeeking Exotic ValuesLocal Analyses and DisplaysCombined AnalysesGrouping and Labelling GenotypesIdolinkage, Nearest and CentroidOther Blended Forms; Xpanded IdiolinkageRobust Forms of IdiolinkageIdiomaxRobust SpheringA Side Issue and More Carful SpheringDetrivialization of One- and Two-Way Tables: An IntroductionLater Attributes and SubtablesSphering the Soybean DataGrouping the Soybean GenotypesOrdering the EnvironmentsOne Approach to PlottingSmoothing Short Sequences (of perhaps 6 to 18 Values)Presentations across AttibutesChoice of Expression: GeneralitiesRemovable Inhomogeneity of VariabilityRemovable Non-AdditivityLinearity of ResponseRelative Importance and CombinationInterpretation and HybridizationAPPENDICESREFERENCES

Basford, Kaye Enid; Tukey, John Wilder