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Examines issues of comparing groups and sorting out factor effects, and deals with the consequences of imbalance and nesting in design.
PrefacePart A: Placing Data in ContextPractical Data AnalysisEffect of FactorsNature of DataSummary TablesPlots for StatisticsComputingInterpretationProblemsCollaboration in ScienceAsking QuestionsLearning from PlotsMechanics of a Consulting SessionPhilosophy and EthicsIntelligence, Culture and LearningWritingProblemsExperimental DesignTypes of StudiesDesigned ExperimentsDesign StructureTreatment StructureDesigns in This BookProblemsPart B: Working with Groups of DataGroup SummariesGraphical SummariesEstimates of Means and VarianceAssumptions and Pivot StatisticsInterval Estimates of MeansTesting Hypotheses about MeansFormal Inference on the VarianceProblemsComparing Several MeansLinear Contrasts of MeansOverall Test of DifferencePartitioning Sums of SquaresExpected Mean SquaresPower and Sample SizeProblemsMultiple Comparisons of MeansExperiment- and Comparison-Wise Error RatesComparisons Based on F-TestsComparisons Based on Range of MeansComparisons of ComparisonsProblemsPart C: Sorting Out Effects with DataFactorial DesignsCell Means ModelsEffects ModelsEstimable FunctionsLinear ConstraintsGeneral Form of Estimable FunctionsProblemsBalanced ExperimentsAdditive ModelsFull Models with Two FactorsInteraction PlotsHigher Orders ModelsProblemsModel SelectionPooling InteractionsSelected the "Best" ModelModel Selection CriteriaOne Observation per CellTukey's Test for InteractionProblemsPart D: Dealing with ImbalanceUnbalanced ExperimentsUnequal SamplesAdditive ModelTypes I, II, III and IVProblemsMissing CellsWhat Are Missing Cells Connected Cells and Incomplete DesignsType IV ComparisonsLatin Square DesignsFractional Factorial DesignsProblemsLinear Models InferenceMatrix PreliminariesOrdinary Least SquaresWeighted Least SquaresMaximum LikelihoodRestricted Maximum LikelihoodInference for Fixed Effect ModelsAnova and Regression ModelsProblemsPart E: Questioning AssumptionsResidual PlotsDepartures from AssumptionsIncorrect ModelCorrelated ResponsesUnequal VarianceNon-Normal DataProblemsComparisons with Unequal VarianceComparing Means When Variances Are UnequalWeighted Analysis of VariancesSatterthwaite ApproximationGeneralized InferenceTesting for Unequal VariancesProblemsGetting Free from AssumptionsTransforming DataComparisons Using RanksRandomizationMonte Carlo MethodsProblemsPart F: Regressing with FactorsOrdered GroupsGroups in a LineTesting for LinearityPath Analysis DiagramsRegression CalibrationClassical Error in VariablesProblemsParallel LinesParallel Lines ModelAdjusted EstimatesPlots with SymbolsSequential Tests with Multiple ResponsesSequential Tests with Driving CovariateAdjusted (Type III) Tests of HypothesesDifferent Slopes for Different GroupsProblemsMultiple ResponsesOverall Tests