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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 확률과 통계 > 다변량 분석
· ISBN : 9781466560994
· 쪽수 : 440쪽
· 출판일 : 2014-07-24
목차
INTRODUCTION
What Are Linear Mixed Models (LMMs)?
A Brief History of Linear Mixed Models
LINEAR MIXED MODELS: AN OVERVIEW
Introduction
Specification of LMMs
The Marginal Linear Model
Estimation in LMMs
Computational Issues
Tools for Model Selection
Model-Building Strategies
Checking Model Assumptions (Diagnostics)
Other Aspects of LMMs
Power Analysis for Linear Mixed Models
Chapter Summary
TWO-LEVEL MODELS FOR CLUSTERED DATA: THE RAT PUP EXAMPLE
Introduction
The Rat Pup Study
Overview of the Rat Pup Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
Estimating the Intraclass Correlation Coefficients (ICCs)
Calculating Predicted Values
Diagnostics for the Final Model
Software Notes and Recommendations
THREE-LEVEL MODELS FOR CLUSTERED DATA; THE CLASSROOM EXAMPLE
Introduction
The Classroom Study
Overview of the Classroom Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
Estimating the Intraclass Correlation Coefficients (ICCs)
Calculating Predicted Values
Diagnostics for the Final Model
Software Notes
Recommendations
MODELS FOR REPEATED-MEASURES DATA: THE RAT BRAIN EXAMPLE
Introduction
The Rat Brain Study
Overview of the Rat Brain Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
The Implied Marginal Variance-Covariance Matrix for the Final Model
Diagnostics for the Final Model
Software Notes
Other Analytic Approaches
Recommendations
RANDOM COEFFICIENT MODELS FOR LONGITUDINAL DATA: THE AUTISM EXAMPLE
Introduction
The Autism Study
Overview of the Autism Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
Calculating Predicted Values
Diagnostics for the Final Model
Software Note: Computational Problems with the D Matrix
An Alternative Approach: Fitting the Marginal Model with an Unstructured Covariance Matrix
MODELS FOR CLUSTERED LONGITUDINAL DATA: THE DENTAL VENEER EXAMPLE
Introduction
The Dental Veneer Study
Overview of the Dental Veneer Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
The Implied Marginal Variance-Covariance Matrix for the Final Model
Diagnostics for the Final Model
Software Notes and Recommendations
Other Analytic Approaches
MODELS FOR DATA WITH CROSSED RANDOM FACTORS: THE SAT SCORE EXAMPLE
Introduction
The SAT Score Study
Overview of the SAT Score Data Analysis
Analysis Steps in the Software Procedures
Results of Hypothesis Tests
Comparing Results across the Software Procedures
Interpreting Parameter Estimates in the Final Model
The Implied Marginal Variance-Covariance Matrix for the Final Model
Recommended Diagnostics for the Final Model
Software Notes and Additional Recommendations
APPENDIX A: STATISTICAL SOFTWARE RESOURCES
APPENDIX B: CALCULATION OF THE MARGINAL VARIANCE-COVARIANCE MATRIX
APPENDIX C: ACRONYMS/ABBREVIATIONS
BIBLIOGRAPHY
INDEX