# Categorical Models with plssem

Ordered indicators are common in survey-based SEM applications. This vignette reuses the Theory of Planned Behavior example but illustrates how to run the model when the manifest variables are ordinal.

## Theory of Planned Behavior (Ordered Indicators)

    tpb <- '
    # Outer Model (Based on Hagger et al., 2007)
      ATT =~ att1 + att2 + att3 + att4 + att5
      SN =~ sn1 + sn2
      PBC =~ pbc1 + pbc2 + pbc3
      INT =~ int1 + int2 + int3
      BEH =~ b1 + b2

    # Inner Model (Based on Steinmetz et al., 2011)
      INT ~ ATT + SN + PBC
      BEH ~ INT + PBC
    '

    fit_cat <- pls(
      tpb,
      data      = TPB_Ordered,
      bootstrap = TRUE,
      boot.R    = 50,
      ordered   = colnames(TPB_Ordered) # explicitly specify ordered variables
    )
    summary(fit_cat)