Factor Analysis: Parallelism Test

In confirmatory factor analysis, one aspect of evaluating the adequacy of a scale involves examining the relationships with other items on other scales. The internal relationships between items of a scale represent internal consistency, whereas parallelism considers that relationship with items on other scales. When a measurement model is proposed, it should generate a set of relationships among the items of the scale consistent with the expectation of a single scale (or dimension) and designated as internal consistency. The underlying theoretical model also, if adequate, should be able to validate that underlying structure when comparing how that set of relationships is maintained with items on other scales; this set of relationships is considered parallelism.

The term structural equation modeling represents the idea of ...

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