Multivariate Analysis

14.

Advanced Multivariate Methods

14.1.

Structural Equation Modeling

14.1.1.

14.1.2.

Latent Variables

14.1.3.

Measurement Model

14.1.3.1.

Confirmatory Factor Analysis

14.1.3.2.

Factor Loadings

14.1.3.3.

Measurement Error

14.1.4.

Structural Model

14.1.4.1.

14.1.4.2.

14.1.4.3.

Indirect Effects

14.1.4.4.

14.1.5.

Model Specification

14.1.5.1.

14.1.5.2.

Model Identification

14.1.5.3.

Parameter Constraints

14.1.6.

Model Estimation

14.1.6.1.

Maximum Likelihood

14.1.6.2.

Generalized Least Squares

14.1.6.3.

Weighted Least Squares

14.1.7.

Model Evaluation

14.1.7.1.

14.1.7.1.1.

Chi-Square Test

14.1.7.1.2.

14.1.7.1.3.

14.1.7.1.4.

14.1.7.1.5.

14.1.7.2.

Modification Indices

14.1.7.3.

Residual Analysis

14.2.

Correspondence Analysis

14.2.1.

Contingency Table Analysis

14.2.2.

Chi-Square Distance

14.2.3.

Inertia Concept

14.2.4.

Simple Correspondence Analysis

14.2.5.

Multiple Correspondence Analysis

14.2.6.

Interpretation of Maps

14.2.6.1.

14.2.6.2.

Column Profiles

14.2.6.3.

Biplot Interpretation

14.3.

Survival Analysis in Multivariate Context

14.3.1.

Time-to-Event Data

14.3.2.

Censoring Mechanisms

14.3.3.

Cox Proportional Hazards Model

14.3.3.1.

Hazard Function

14.3.3.2.

Partial Likelihood

14.3.3.3.

14.3.4.

Multivariate Extensions

14.3.4.1.

14.3.4.2.

Competing Risks

14.4.

Longitudinal Data Analysis

14.4.1.

Repeated Measures Design

14.4.2.

Within-Subject Correlation

14.4.3.

Growth Curve Models

14.4.3.1.

Linear Growth Models

14.4.3.2.

Nonlinear Growth Models

14.4.4.

Mixed Effects Models

14.4.4.1.

Random Intercepts

14.4.4.2.

14.4.5.

Multivariate Repeated Measures

14.4.5.1.

MANOVA Approach

14.4.5.2.

Profile Analysis

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13. Multidimensional Scaling

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1. Introduction to Multivariate Analysis