Foundational and applied statistics for biologists using R. (2016)

• Record Type: Book
• Further Information: Note: Ken A. Aho.
• Authors: Aho, Ken A
• Contents: FOUNDATIONS; Philosophical and Historical Foundations ; Introduction; Nature of Science; Scientific Principles; Scientific Method; Scientific Hypotheses; Logic; Variability and Uncertainty in Investigations; Science and Statistics; Statistics and Biology Introduction to Probability ; Introduction: Models for Random Variables; Classical Probability; Conditional Probability; Odds; Combinatorial Analysis; Bayes Rule Probability Density Functions ; Introduction; Introductory Examples of pdfs; Other Important Distributions; Which pdf to Use?; Reference Tables Parameters and Statistics ; Introduction; Parameters; Statistics; OLS and ML Estimators; Linear Transformations; Bayesian Applications Interval Estimation: Sampling Distributions, Resampling Distributions, and Simulation Distributions ; Introduction; Sampling Distributions; Confidence Intervals; Resampling Distributions; Bayesian Applications: Simulation Distributions Hypothesis Testing ; Introduction; Parametric Frequentist Null Hypothesis Testing; Type I and Type II Errors; Power; Criticisms of Frequentist Null Hypothesis Testing; Alternatives to Parametric Null Hypothesis Testing; Alternatives to Null Hypothesis Testing Sampling Design and Experimental Design ; Introduction; Some Terminology; The Question Is: What Is the Question?; Two Important Tenets: Randomization and Replication; Sampling Design; Experimental Design APPLICATIONS; Correlation ; Introduction; Pearson’s Correlation; Robust Correlation; Comparisons of Correlation Procedures Regression ; Introduction; Linear Regression Model; General Linear Models; Simple Linear Regression; Multiple Regression; Fitted and Predicted Values; Confidence and Prediction Intervals; Coefficient of Determination and Important Variants; Power, Sample Size, and Effect Size; Assumptions and Diagnostics for Linear Regression; Transformation in the Context of Linear Models; Fixing the Y -Intercept; Weighted Least Squares; Polynomial Regression; Comparing Model Slopes; Likelihood and General Linear Models; Model Selection; Robust Regression; Model II Regression (X Not Fixed); Generalized Linear Models; Nonlinear Models; Smoother Approaches to Association and Regression; Bayesian Approaches to Regression ANOVA ; Introduction; One-Way ANOVA; Inferences for Factor Levels; ANOVA as a General Linear Model; Random Effects; Power, Sample Size, and Effect Size; ANOVA Diagnostics and Assumptions; Two-Way Factorial Design; Randomized Block Design; Nested Design; Split-Plot Design; Repeated Measures Design; ANCOVA; Unbalanced Designs; Robust ANOVA; Bayesian Approaches to ANOVA Tabular Analyses ; Introduction; Probability Distributions for Tabular Analyses; One-Way Formats; Confidence Intervals for p; Contingency Tables; Two-Way Tables; Ordinal Variables; Power, Sample Size, and Effect Size; Three-Way Tables; Generalized Linear Models Appendix References Index A Summary and Exercises appear at the end of each chapter.
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource (618 pages), (48 illustrations)
• Subjects: 570.15195; Biometry; Statistics; R (Computer program language)
• Languages: English
• ISBNs: 9781439873397; 1439873399
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.