# Confirmatory Factor Analysis

### The Four Models You Meet in Structural Equation Modeling

August 8th, 2022 by A multiple regression model could be conceptualized using Structural Equation Model path diagrams. That’s the simplest SEM you can create, but its real power lies in expanding on that regression model.  Here I will discuss four types of structural equation models.

### Path Analysis

More interesting research questions could be asked and answered using Path Analysis. Path Analysis is a type of structural equation modeling without latent variables. (more…)

### Correlated Errors in Confirmatory Factor Analysis

July 13th, 2022 by

Latent constructs, such as liberalism or conservatism, are theoretical and cannot be measured directly. But we can represent the latent construct by combining a set of questions on a scale, called indicators. We do this via factor analysis.

Often prior research has determined which indicators represent the latent construct. Prudent researchers will run a confirmatory factor analysis (CFA) to ensure the same indicators work in their sample.

### Measurement Invariance and Multiple Group Analysis

October 23rd, 2020 by Creating a quality scale for a latent construct (a variable that cannot be directly measured with one variable) takes many steps. Structural Equation Modeling is set up well for this task.

One important step in creating scales is making sure the scale measures the latent construct equally well and the same way for different groups of individuals.

### Why Adding Values on a Scale Can Lead to Measurement Error

July 22nd, 2020 by

Whenever you use a multi-item scale to measure a construct, a key step is to create a score for each subject in the data set. This score is an estimate of the value of the latent construct (factor) the scale is measuring for each subject.  In fact, calculating this score is the final step of running a Confirmatory Factor Analysis.

### Member Training: A Guide to Latent Variable Models

July 1st, 2020 by An extremely useful area of statistics is a set of models that use latent variables: variables whole values we can’t measure directly, but instead have to infer from others. These latent variables can be unknown groups, unknown numerical values, or unknown patterns in trajectories.

### One of the Many Advantages to Running Confirmatory Factor Analysis with a Structural Equation Model

February 23rd, 2020 by Based on questions I’ve been asked by clients, most analysts prefer using the factor analysis procedures in their general statistical software to run a confirmatory factor analysis.

While this can work in some situations, you’re losing out on some key information you’d get from a structural equation model. This article highlights one of these.