Inference principles for biostatisticians. (2014)

• Record Type: Book
• Further Information: Note: Ian C. Marschner.
• Authors: Marschner, Ian C
• Contents: Probability and Random Samples ; Statistical inference; Probability; Random variables; Probability distributions; Independence; Random samples; Sampling bias; Sampling variation; Large samples; Extended example Estimation Concepts; Statistical models; Parametric models; Statistics and data reduction; Estimators and estimates; Properties of estimators; Large sample properties; Interval estimation; Coverage probability; Towards hypothesis testing; Extended example Likelihood; Statistical likelihood; Likelihood function; Log-likelihood function; Sufficient statistics and data reduction; Multiple parameters; Nuisance parameters; Extended example Estimation Methods; Maximum likelihood estimation; Computation of the MLE; Information and standard errors; Properties of the MLE; Multiple parameters; Further estimation methods; Extended example Hypothesis Testing Concepts; Hypotheses; Statistical tests; Acceptance versus non-rejection; Statistical errors; Power and sample size; P-values; Extended example Hypothesis Testing Methods; Approaches to hypothesis testing; Likelihood ratio test; Score test; Wald test; Comparison of the three approaches; Multiple parameters; Hypotheses about all parameters; Hypotheses about one parameter; Hypotheses about some parameters; Test-based confidence intervals; Extended example Bayesian Inference; Probability and uncertainty; Bayes’ rule; Prior and posterior distributions; Conjugate prior distributions; Estimation of a normal mean; Credible intervals; Non-informative prior distributions; Multiple parameters; Connection to likelihood inference; Extended example Further Inference Topics ; Exact methods; Non-parametric methods; Semi-parametric methods; Bootstrapping; Permutation methods; Extended example Appendix A: Common probability distributions Appendix B: Simulation tools
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 570.15195; Inference; Biometry
• Languages: English
• ISBNs: 9781482222265; 9781482222241; 9781482222258
• Related ISBNs: 9781482222234
• Notes: Note: Description based on CIP data; item not viewed.
• 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).
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