A measurement model connects latent constructs with their observed indicators, allowing researchers to examine whether an abstract concept is represented through measurable variables. This separation helps distinguish the assessment of a construct from the relationships among constructs. In practice, it supports measurement validation before interpreting structural paths or testing broader theoretical hypotheses.
These quantities address different aspects of model evaluation. Covariance matrices summarize relationships among variables, path coefficients estimate the strength and direction of proposed relationships, and fit indices indicate how well the proposed model represents the observed data. Considering them together helps researchers judge whether the statistical model adequately reflects the relationships under study.
The framework can represent several interacting relationships within one proposed model, including direct paths and indirect pathways. This makes it useful for examining mediation, where relationships operate through another variable, and moderation, where an effect depends on another variable. Researchers can therefore evaluate multiple explanations for an observed pattern rather than isolating each relationship separately.
Observed variables are measured directly, whereas latent variables represent constructs that are assessed through observed indicators. Treating these roles separately allows researchers to evaluate how well indicators capture a construct while also estimating relationships among constructs. This distinction is especially relevant when theory concerns concepts that cannot be represented by a single direct measurement.
A typical workflow begins by specifying measurement relationships between constructs and indicators, followed by specifying the proposed structural relationships among constructs. Researchers then use the data and covariance matrix to estimate path coefficients, examine fit indices, and assess the hypotheses. The resulting evaluation can support measurement validation and comparison of alternative explanations.
The approach is valuable when a research question includes several related variables, unobserved constructs, or both direct and indirect effects. In social, behavioral, and health research, it supports theory testing and measurement validation while allowing researchers to compare competing explanations. Its broader statistical use lies in evaluating a structured set of relationships rather than separate isolated associations.