Statistics for Environmental Biology and Toxicology Interdisciplinary Statistics

About this book

Discusses selected situations where various methods are brought together for the statistical analysis of bio-chemical and other environmental effects.

Contents

Basic Probability and Statistical DistributionsIntroductory Concepts in ProbabilityFamilies of Discrete DistributionsFamilies of Continuous DistributionsThe Exponential ClassFamilies of Multivariate DistributionsSummaryExercisesFundamentals of Statistical InferenceIntroductory Concepts in Statistical EstimationNature and Properties of EstimatorsTechniques for Constructing Statistical EstimatorsStatistical Inference - Testing HypothesesStatistical Inference - Confidence IntervalsConfidence Intervals for Some Special DistributionsSemi-Parametric InferenceSummaryExercisesFundamental Issues in Experiment DesignBasic Terminology in Experiment DesignThe Experimental UnitRandom Sampling and RandomizationSample Sizes and Optimal Animal AllocationDose SelectionSummaryExercisesData Analysis of Treatment versus Control DifferencesTwo-Sample Comparisons - Testing HypothesesTwo-Sample Comparisons - Confidence IntervalsSummaryExercisesTreatment-versus-Control Multiple ComparisonsComparing More than Two PopulationsMultiple Comparisons via Bonferroni's InequalityMultiple Comparisons among a Control - Normal SamplingMultiple Comparisons among Binomial PopulationsMultiple Comparisons with a Control - Poisson SamlingAll-Pairwise Multiple ComparisonsSummaryExercisesTrend TestingSimple Linear Regression for Normal DataWilliam's Test for Normal DataTrend Tests for ProportionsCochran-Armitage Trend Test for CountsOverdispersed Discrete DataDistribution-Free Trend TestingNonparametric Tests for Nonmonotone ("Umbrella") TrendsSummaryExercisesDose-Response Modeling and AnalysisDose-Response Models on a Continuous ScaleDose-Response Models on a Discrete ScalePotency Estimation for Dose-Response DataComparing Dose-Response CurvesSummaryExercisesIntroduction to Generalized Linear Models(GLiMs)Review of Classical Linear ModelsGeneralizing the Classical Linear ModelGeneralized Linear ModelsExamples and IllustrationsSummaryExercisesAnalysis of Cross-Classified Tabular/Categorical DataRxC Contingency TablesStatistical Distributions for Categorical DataStatistical Tests of Independence in RxC TablesLog-Linear Models and Relationships to GLiMsTables of ProportionsSummaryExercisesIncorporating Historical Control InformationGuidelines for Using Historical Control DataTwo-Sample Hypothesis Testing - Normal Distribution SamplingTwo-Sample Hypothesis Testing - Binomial SamplingTrend Testing with Historical ControlsSummaryExercisesSurvival Data AnalysisSurvival DataLifetime DistributionsEstimating the Survivor FunctionNonparametric Methods for Comparing Survival CurvesRegression Models for Survival DataSummaryExercisesAppendicesReferences

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