Modelling binary data. (2014)

• Record Type: Book
• Further Information: Note: David Collett.
• Authors: Collett, D, 1952-
• Contents: INTRODUCTION; Some Examples; The Scope of this Book; Use of Statistical Software; STATISTICAL INFERENCE FOR BINARY DATA; The Binomial Distribution; Inference about the Success Probability; Comparison of Two Proportions; Comparison of Two or More Proportions; MODELS FOR BINARY AND BINOMIAL DATA; Statistical Modelling; Linear Models; Methods of Estimation; Fitting Linear Models to Binomial Data; Models for Binomial Response Data; The Linear Logistic Model; Fitting the Linear Logistic Model to Binomial Data; Goodness of Fit of a Linear Logistic Model; Comparing Linear Logistic Models; Linear Trend in Proportions; Comparing Stimulus-Response Relationships; Non-Convergence and Overfitting; Some other Goodness of Fit Statistics; Strategy for Model Selection; Predicting a Binary Response Probability; BIOASSAY AND SOME OTHER APPLICATIONS; The Tolerance Distribution; Estimating an Effective Dose; Relative Potency; Natural Response; Non-Linear Logistic Regression Models; Applications of the Complementary Log-Log Model; MODEL CHECKING; Definition of Residuals; Checking the Form of the Linear Predictor; Checking the Adequacy of the Link Function; Identification of Outlying Observations; Identification of Influential Observations; Checking the Assumption of a Binomial Distribution; Model Checking for Binary Data; Summary and Recommendations; OVERDISPERSION; Potential Causes of Overdispersion; Modelling Variability in Response Probabilities; Modelling Correlation Between Binary Responses; Modelling Overdispersed Data; A Model with a Constant Scale Parameter; The Beta-Binomial Model; Discussion; MODELLING DATA FROM EPIDEMIOLOGICAL STUDIES; Basic Designs for Aetiological Studies; Measures of Association Between Disease and Exposure; Confounding and Interaction; The Linear Logistic Model for Data from Cohort Studies ; Interpreting the Parameters in a Linear Logistic Model; The Linear Logistic Model for Data from Case-Control Studies; Matched Case-Control Studies; MIXED MODELS FOR BINARY DATA; Fixed and Random Effects; Mixed Models for Binary Data; Multilevel Modelling; Mixed Models for Longitudinal Data Analysis; Mixed Models in Meta-Analysis; Modelling Overdispersion Using Mixed Models; EXACT METHODS; Comparison of Two Proportions Using an Exact Test; Exact Logistic Regression for a Single Parameter; Exact Hypothesis Tests; Exact Confidence Limits for bk; Exact Logistic Regression for a Set of Parameters; Some Examples; Discussion; SOME ADDITIONAL TOPICS; Ordered Categorical Data; Analysis of Proportions and Percentages; Analysis of Rates; Analysis of Binary Time Series; Modelling Errors in the Measurement of Explanatory Variables; Multivariate Binary Data; Analysis of Binary Data from Cross-Over Trials; Experimental Design; COMPUTER SOFTWARE FOR MODELLING BINARY DATA; Statistical Packages for Modelling Binary Data; Interpretation of Computer Output; Using Packages to Perform Some Non-Standard Analyses; Appendix A: Values of logit(p) and probit(p); Appendix B: Some Derivations; Appendix C: Additional Data Sets; References; Index of Examples; Index
• Edition: Second edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 519.538; Analysis of variance; Distribution (Probability theory); Linear models (Statistics)
• Languages: English
• ISBNs: 9781420057386
• Notes: Note: Description based on CIP data; resource not viewed.
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