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Biostatistical Methods The Assessment of Relative Risks

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ISBN-10: 0470508221

ISBN-13: 9780470508220

Edition: 2nd 2011

Authors: John M. Lachin

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Description:

This book focuses on the comparison, contrast, and assessment of risks on the basis of clinical investigations. It develops basic concepts as well as deriving biostatistical methods through both the application of classical mathematical statistical tools and more modern likelihood-based theories.The first half of the book presents methods for the analysis of single and multiple 2x2 tables for cross-sectional, prospective, and retrospective (case-control) sampling, with and without matching using fixed and two-stage random effects models.The text then moves on to present a more modern likelihood- or model-based approach, which includes unconditional and conditional logistic regression; the…    
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Book details

Edition: 2nd
Copyright year: 2011
Publisher: John Wiley & Sons, Limited
Publication date: 1/25/2011
Binding: Hardcover
Pages: 672
Size: 6.40" wide x 9.55" long x 1.45" tall
Weight: 2.288
Language: English

Preface
Biostatistics and Biomedical Science
Statistics and the Scientific Method
Biostatistics
Natural History of Disease Progression
Types of Biomedical Studies
Studies of Diabetic Nephropathy
Relative Risk Estimates and Tests for Independent Groups
Probability As a Measure of Risk
Measures of Relative Risk
Large Sample Distribution
Sampling Models Likelihoods
Exact Inference
Large Sample Inferences
SAS PROC FREQ
Other Measures of Differential Risk
Polychotomous and Ordinal Data
Two Independent Groups With Polychotomous Response
Multiple Independent Groups
Problems
Sample Size, Power, and Efficiency
Estimation Precision
Power of Z-Tests
Test for Two Proportions
Power of Chi-Square Tests
SAS PROC POWER
Efficiency
Problems
Stratified-Adjusted Analysis for Independent Groups
Introduction
Mantel-Haenszel Test and Cochran's Test
Stratified-Adjusted Estimators
Nature of Covariate Adjustment
Multivariate Tests of Hypotheses
Tests of Homogeneity
Efficient Tests of No Partial Association
Asymptotic Relative Efficiency of Competing Tests
Maximin Efficient Robust Tests
Random Effects Model
Power and Sample Size for Tests of Association
Polychotomous and Ordinal Data
Problems
Case-Control and Matched Studies
Unmatched Case-Control (Retrospective) Sampling
Matching
Tests of Association for Matched Pairs
Measures of Association for Matched Pairs
Pair-Matched Retrospective Study
Power Function of McNemar's Test
Stratified Analysis of Pair-Matched Tables
Multiple Matching-Mantel-Haenszel Analysis
Matched Polychotomous Data
Problems
Applications of Maximum Likelihood and Efficient Scores
Binomial
2x2 Table: Product Binomial (Unconditionally)
2x2 Table, Conditionally
Score-Based Estimate
Stratified Score Analysis of Independent 2x2 Tables
Matched Pairs
Iterative Maximum Likelihood
Problems
Logistic Regression Models
Unconditional Logistic Regression Model
Interpretation of the Logistic Regression Model
Tests of Significance
Interactions
Measures of the Strength of Association
Conditional Logistic Regression Model for Matched Sets
Models for Polychotomous or Ordinal Data
Random Effects and Mixed Models
Models for Multivariate or Repeated Measures
Problems
Analysis of Count Data
Event Rates and the Homogeneous Poisson Model
Over-Dispersed Poisson Model
Poisson Regression Model
Over-Dispersed and Robust Poisson Regression
Conditional Poisson Regression for Matched Sets
Negative Binomial Models
Power and Sample Size
Multiple Outcomes
Problems
Analysis of Event-Time Data
Introduction to Survival Analysis
Lifetable Construction
Family of Weighted Mantel-Haenszel Tests
Proportional Hazards Models
Evaluation of Sample Size and Power
Additional Models
Analysis of Recurrent Events
Problems
Appendix Statistical Theory
Introduction 535
Central Limit Theorem and the Law of Large Numbers
Delta Method
Slutsky's Convergence Theorem
Least Squares Estimation
Maximum Likelihood Estimation and Efficient Scores
Tests of Significance
Explained Variation
Robust Inference
Generalized Linear Models and Quasi-Likelihood
Generalized Estimating Equations (GEE)
References