## Course: Statistics for Psychosocial Research: Structural Models

# Readings

## Textbooks

Required:

Highly recommended:

Maruyama, G. Basics of Structural Equation Modeling, SAGE, 1997.

Bollen, KA. Structural Equations with Latent Variables, New York: Wiley and Sons, 1989.

Topic | Readings |
---|---|

Introduction: Structural regression |
Loehlin, Chapter 1 "Path Models in Factor, Path, and Structural Analysis"
Bollen, Chapter 1, "Introduction" and Chapter 2, "Model Notation, Covariances, and Path Analysis," pp. 10-31 Bollen, Chapter 5 "The consequences of measurement error," pp. 151-168 |

Regression analysis for items |
Optional readingsDiggle PJ, Heagerty P, Liang K-Y, Zeger SL. "Generalized Linear Models for Longitudinal Data" in Analysis of Longitudinal Data, 2nd edition, London: Oxford, 2002 (pp 54-70). |

Introduction to path analysis |
Loehlin, Chapter 2 "Fitting path models" Bollen, Chapter 2 "Model Notation, Covariances, and Path Analysis," pp. 32-39. |

Introduction to structural equations with latent variables |
Loehlin, Chapter 3 "Fitting path and structural models to data from a single group on a single occasion," pp. 87-95. Bollen, Chapter 7, "Confirmatory factor analysis," pp. 226-238. |

Inference using structural equations with latent variables |
Bollen, Chapter 7, "Confirmatory factor analysis," pp. 238-296. |

Examples of path analysis |
Loehlin, Chapter 3, "Fitting path and structural models to data from a single group on a single occasion," pp. 95-115
Maruyama, Chapter 6, "Recursive and Longitudinal Models: Where Causality Goes in More Than One Direction and Where Data Are Collected Over Time," pg. 99-108 |

Commonly applied structural models with latent variables |
Loehlin, Chapter 3, "Fitting path and structural models to data from a single group on a single occasion" pp. 98-102. Loehlin, Chapter 4, "Fitting models involving repeated measures or multiple groups," pp. 129-148.
Bollen, Chapter 8, "The general model, part I: latent variable and measurement models combined," pp. 355-369. |

Advanced structural equations models I |
Loehlin, Chapter 4, "Fitting models involving repeated measures or multiple groups," pp. 120-129.
Maruyama, Chapter 6, "Recursive and Longitudinal Models: Where Causality Goes in More Than One Direction and Where Data Are Collected Over Timeï¿½, pp. 108-122.
Muthen BO, "Analysis of Longitudinal Data using Latent Variable Models with Varying Parameters," in Best Methods for Analyzing Change |

Advanced structural equations models II |
Muthen BO. "Means and covariance structure analysis of hierarchical data," UCLA Statistics series, no 62: Los Angeles, 1990. |

Models for dichotomous outcomes |
Bollen, Chapter 9, "The general model, part II: extensions," pp. 433-447.
Muthen BO, "Goodness of fit with categorical and nonnormal variables," in: Bollen KA, Long JS, eds., Testing structural equation models (pp. 205-234). Newbury Park, CA: Sage. |

Latent class regression I |
Bandeen-Roche K, Huang G-H, Munoz B, Rubin GS, "On Determining Risk Factor Associations with Questionnaire Outcomes: A Methods Case Study," American Journal of Epidemiology, 1999;150:1165-78. |

Latent class regression II |
No reading |

Concluding topics |
Loehlin, Chapter 7, "Issues in the application of latent variable," pp. 98-102.
Maruyama, Chapter 1, "What Does It Mean to Model Hypothesized Causal Processes With Nonexperimental Data?" Bollen, Chapter 3, "Causality and causal models," pp. 40-79. |