![]() |
Multilevel and Longitudinal Modeling using Stata by Sophia Rabe-Hesketh and Anders Skrondal (2005) Publisher: Stata Press ISBN:1-59718-008-4 Pages: 317 pages Price: £37.50 + p&p
|
1 Linear variance-components models
| 1.1 | Introduction |
| 1.2 | How reliable are expiratory flow measurements? |
| 1.3 | The variance-components model |
| 1.3.1 | Model specification and path diagram |
| 1.3.2 | Error components, variance components, and reliability |
| 1.3.3 | Intraclass correlation |
| 1.4 | Modeling the Mini Wright measurements |
| 1.4.1 | Estimation using xtreg |
| 1.4.2 | Estimation using xtmixed |
| 1.4.3 | Estimation using gllamm |
| 1.4.4 | Relative and absolute agreement |
| 1.5 | Estimation methods |
| 1.6 | Assigning values to the random intercepts |
| 1.6.1 | Maximum likelihood estimation |
| mplementation via OLS regression |
|
| Implementation via the mean total residual | |
| 1.6.2 | Empirical Bayes prediction |
| 1.6.3 | Empirical Bayes variances |
| 1.7 | Summary and further reading |
| 1.8 | Exercises |
2 Linear random-intercept models
| 2.1 | Introduction |
| 2.2 | Are tax preparers useful? |
| 2.3 | The longitudinal data structure |
| 2.4 | Panel data and correlated residuals |
| 2.5 | The random-intercept model |
| 2.5.1 | Estimation using xtreg |
| 2.5.2 | Estimation using xtmixed |
| 2.6 | Different kinds of effects in panel models |
| 2.6.1 | Between-taxpayer effects |
| 2.6.2 | Within-taxpayer effects |
| 2.6.3 | Relations among the estimators |
| 2.7 | Endogeneity and between-taxpayer effects |
| 2.8 | Residual diagnostics |
| 2.9 | Summary and further reading |
| 2.10 | Exercises |
3 Linear random-coefficient and growth-curve models
| 3.1 | Introduction |
| 3.2 | How effective are different schools? |
| 3.3 | Separate linear regressions for each school |
| 3.4 | The random-coefficient model |
| 3.4.1 | Specification and interpretation of a random-coefficient model |
| 3.4.2 | Estimation and prediction using xtmixed |
| Estimation of random-intercept model | |
| Estimation of random-coefficient mode | |
| Empirical Bayes prediction using xtmixed |
|
| 3.4.3 | Estimation and prediction using gllamm |
| Estimation of random-intercept model | |
| Estimation of random-coefficient model |
|
| Empirical Bayes prediction | |
| 3.5 | How do children grow? |
| 3.6 | Growth-curve modeling |
| 3.6.1 | Observed growth trajectories |
| 3.6.2 | Estimation using xtmixed |
| Quadratic growth model with random intercept |
|
| Quadratic growth model with random intercept and random slope | |
| Including a child-level covariate | |
| 3.6.3 | Estimation using gllamm |
| Quadratic growth model with random intercept | |
| Quadratic growth model with random intercept and random slope | |
| Including a child-level covariate | |
| 3.7 | Two-stage model formulation |
| 3.7.1 | Model specification |
| 3.7.2 | Estimation |
| 3.8 | Prediction of trajectories for individual children |
| 3.9 | Complex level-1 variation or heteroskedasticity |
| 3.10 | Summary and further reading |
| 3.11 | Exercises |
4 Dichotomous or binary responses
| 4.1 | Models for dichotomous responses |
| 4.1.1 | Generalized linear model formulation |
| 4.1.2 | Latent-response formulation |
| Logistic regression | |
| Probit regression | |
| 4.2 | Which treatment is best for toenail infection? |
| 4.3 | The longitudinal data structure |
| 4.4 | Population-averaged or marginal probabilities |
| 4.5 | Random-intercept logistic regression |
| 4.6 | Subject-specific vs. population-averaged relationships |
| 4.7 | Maximum likelihood estimation using adaptive quadrature |
| 4.7.1 | Some practical considerations |
| 4.8 | Empirical Bayes (EB) predictions |
| 4.8.1 | EB prediction of random effects |
| 4.8.2 | EB prediction of response probabilities |
| 4.9 | Other approaches to clustered dichotomous data |
| 4.9.1 | Conditional logistic regression |
| 4.9.2 | Generalized estimating equations (GEE) |
| 4.10 | Summary and further reading |
| 4.11 | Exercises |
5 Ordinal responses
| 5.1 | Introduction |
| 5.2 | Cumulative models for ordinal responses |
| 5.2.1 | Generalized linear model formulation |
| 5.2.2 | Latent-response formulation |
| 5.2.3 | Proportional odds |
| 5.2.4 | Identification |
| 5.3 | Are antipsychotic drugs effective for patients with schizophrenia? |
| 5.4 | Longitudinal data structure and graphs |
| 5.4.1 | The longitudinal data structure |
| 5.4.2 | Plotting cumulative proportions |
| 5.4.3 | Plotting cumulative logits and transforming the time scale |
| 5.5 | A proportional-odds model |
| 5.5.1 | Model specification |
| 5.5.2 | Estimation |
| 5.6 | A random-intercept proportional-odds model |
| 5.6.1 | Model specification |
| 5.6.2 | Estimation |
| 5.7 | A random-coefficient proportional-odds model |
| 5.7.1 | Model specification |
| 5.7.2 | Estimation |
| 5.8 | Marginal and patient-specific probabilities |
| 5.8.1 | Marginal probabilities |
| 5.8.2 | Patient-specific cumulative response probabilities |
| 5.9 | Do experts differ in their grading of student essays? |
| 5.10 | A random-intercept model with grader bias |
| 5.10.1 | Model specification |
| 5.10.2 | Estimation |
| 5.11 | Including grader-specific measurement error variances |
| 5.11.1 | Model specification |
| 5.11.2 | Estimation |
| 5.12 | ncluding grader-specific thresholds |
| 5.12.1 | Model specification |
| 5.12.2 | Estimation |
| 5.13 | Summary and further readings |
| 5.14 | Exercises |
6 Counts
| 6.1 | Introduction |
| 6.2 | Types of counts |
| 6.3 | Poisson model for counts |
| 6.4 | Did the German health-care reform reduce the number of doctor visits? |
| 6.5 | Longitudinal data structure |
| 6.6 | Poisson regression ignoring overdispersion and clustering |
| 6.6.1 | Model specification |
| 6.6.2 | Estimation |
| 6.7 | Poisson regression with overdispersion but ignoring clustering |
| 6.7.1 | Using a level-1 random intercept |
| Model specification | |
| Estimation | |
| 6.7.2 | Quasilikelihood |
| Specification |
|
| Estimation | |
| 6.8 | Random-intercept Poisson regression |
| 6.8.1 | Model specification |
| 6.8.2 | Estimation |
| 6.9 | Random-coefficient Poisson regression |
| 6.9.1 | Model Specification |
| 6.9.2 | Estimation |
| 6.10 | Other approaches to clustered counts |
| 6.10.1 | Conditional Poisson regression |
| 6.10.2 | Generalized estimating equations (GEE) |
| 6.11 | Which Scottish countries have a high risk of lip cancer? |
| 6.12 | Standardized mortality ratios |
| 6.13 | Random-intercept Poisson regression |
| 6.13.1 | Model specification |
| 6.13.2 | Estimation |
| 6.13.3 | Introducing a county-level covariate |
| 6.13.4 | Prediction |
| 6.14 | Nonparametric maximum likelihood estimation |
| 6.14.1 | Specification |
| 6.14.2 | Estimation |
| 6.14.3 | Prediction |
| 6.15 | Summary and further reading |
| 6.16 | Exercises |
7 Higher level models and nested random effects
| 7.1 | Introduction |
| 7.2 | Which method is best for measuring expiratory flow? |
| 7.3 | Two-level variance-components models |
| 7.3.1 | Model specification |
| 7.3.2 | Estimation |
| 7.4 | Three-level variance-components models |
| 7.4.1 | Model specification |
| 7.4.2 | Different types of intraclass correlation |
| 7.4.3 | Three-stage formulation |
| 7.4.4 | Estimation using xtmixed |
| 7.4.5 | Prediction using xtmixed |
| 7.5 | Did the Guatemalan immunization campaign work? |
| 7.6 | A three-level logistic random-intercept model |
| 7.6.1 | Model specification |
| 7.6.2 | Different types of intraclass correlations for the latent responses |
| 7.6.3 | Three-stage formulation |
| 7.6.4 | Estimation |
| 7.6.5 | Introducing a random coefficient at level 3 |
| 7.6.6 | Prediction |
| 7.7 | Summary and further reading |
| 7.8 | Exercises |
8 Crossed random effects
| 8.1 | Introduction |
| 8.2 | How does investment depend on expected profit and capital stock? |
| 8.3 | A two-way error-components model |
| 8.3.1 | Model specification |
| 8.3.2 | Intraclass correlations |
| 8.3.3 | Estimation |
| 8.3.4 | Prediction |
| 8.4 | How much do primary and secondary schools affect attainment at age 16? |
| 8.5 | An additive crossed random-effects model |
| 8.5.1 | Specification |
| 8.5.2 | Estimation |
| 8.6 | Including a random interaction |
| 8.6.1 | Model Specification |
| 8.6.2 | Intraclass correlations |
| 8.6.3 | Estimation |
| 8.6.4 | Some diagnostics |
| 8.7 | A trick requiring fewer random effects |
| 8.8 | Summary and further reading |
| 8.9 | Exercises |
References
©Timberlake Consultants Limited
Last revised: