---
title: "Measurement Invariance Workflow"
output: rmarkdown::html_vignette
vignette: >
  %\VignetteIndexEntry{Measurement Invariance Workflow}
  %\VignetteEngine{knitr::rmarkdown}
  %\VignetteEncoding{UTF-8}
---

```{r, include = FALSE}
knitr::opts_chunk$set(collapse = TRUE, comment = "#>")
```

# Measurement Invariance Workflow

This vignette shows how to prepare a small multigroup dataset for measurement
invariance analysis.

```{r setup}
library(PsychoMatic)
data(psychomatic_multigroup)
```

```{r structure}
table(psychomatic_multigroup$group)
head(psychomatic_multigroup)
```

## Model

```{r model}
model <- "
factor1 =~ mg1 + mg2 + mg3
factor2 =~ mg4 + mg5 + mg6
"
```

## Sequential Invariance Testing

The full workflow fits configural, metric, scalar, and strict models. It is not
evaluated by default in CRAN vignette checks because multi-group CFA can be
computationally heavier than a minimal example.

```{r invariance, eval = FALSE}
invariance <- factorial_invariance_auto(
  psychomatic_multigroup,
  group = "group",
  model = model,
  estimator = "ML",
  language = "eng",
  report = FALSE
)
summary(invariance)
```