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Research method

Factor Analysis

Factor analysis (EFA, PCA, CFA) models covariation among questionnaire items as a smaller set of latent dimensions. A four-factor solution that fits, or a hierarchy of factor means, is a measurement claim: these items hang together in this sample. It is not a causal test of teaching, not an RCT, and not proof that a summed factor score is interval 'truth' about engagement in the world. SEM paths that later use those factors remain observational.

Teacher-practice and online-quality papers use factor analysis to build scales (technology-integration quality, online-learning priorities, information-literacy beliefs) before relating them to engagement or self-efficacy. They answer 'do these items cluster as theory hoped?' Their main limitation is mistaking a well-fitting measurement model for evidence that changing the named practice would move the outcome.

Studies

4

Findings

4

4 supporting · 0 challenging · 0 qualifying citations

Open tensions

2

Currently

What we know

  1. The Technology Integration Quality Scale was validated with EFA/CFA in 2,281 second-year upper-secondary students; four EFA factors accounted for 57.8% of variance. Cluster-robust SEM then found that support for learning and classroom management positively predicted behavioural engagement, cognitive activation predicted digital competencies, use-frequency links were smaller, and individualised teaching related negatively to engagement in the reported models. Cross-sectional perceptions cannot prove that changing integration quality would raise engagement.
  2. After a 397-student pilot, instructors distributed a Qualtrics survey to about 2,500 students; 987 responded (40%), 78% under age 30. Exploratory factor analysis organised priorities into a hierarchy of online-learning quality factors. Students treated some baseline conditions as near-threshold requirements while weighting teaching presence and interactive features as higher-order drivers; factor means differentiated clusters of importance rather than a flat list. Importance ratings are not measured learning gains, and instructors opted into distribution.
  3. Among 310 Lithuanian pre-service teachers, a structural equation model used literacy and self-efficacy constructs: perceived information-evaluation literacy predicted information-search literacy (B = 0.993) and ICT self-efficacy (B = 0.369), with an additional path from search literacy to ICT self-efficacy. Cross-sectional self-report SEM cannot prove that training evaluation literacy would raise teaching ICT self-efficacy.
  4. A faculty-training programme (695 participants) used multi-item instruments on attitudes toward innovation and the LMS, knowledge of teaching-practice elements, and reported application, then showed pre/post attitude and knowledge gains in a single-group quasi-experiment. Those instruments may be factor-scored internally, but the design that supports 'attitudes improved' is pre/post without a control — not a CFA proving that innovation training caused student learning.

Largest unresolved question

Measurement models and change scores are different jobs. TIQS uses EFA/CFA then SEM paths, including an unexpected negative individualised-teaching path. The online-quality paper uses EFA to rank importance, not to predict engagement. The teacher-education paper uses SEM path coefficients among self-beliefs. The faculty paper reports pre/post attitude change for 695 trainees without a control. One software family (factors, SEM, scales) is not one empirical result.

Common misconceptions

  • Factor analysis tests whether a teaching practice causes engagement.

    EFA/CFA say whether item covariances in 2,281 students fit four TIQS factors (57.8% of EFA variance). Causal effects of changing those practices were not assigned. SEM paths from factors to engagement remain associations among perceptions.

  • A well-fitting factor solution means the summed Likert score is interval truth about the construct.

    Fit says the items cluster. Online-quality factor means differentiate stated importance among 987 respondents (40% of those contacted), not equal-interval learning. Lithuanian B = 0.993 is a path among self-reports, not a calibrated unit of literacy.

  • If faculty complete a multi-factor attitude instrument and scores rise, the scale validated the training as improving teaching.

    695 trainees’ attitude and knowledge self-reports rose without a control group and without student-learning outcomes. Instrument structure, even if factored, does not convert that design into a causal teaching trial.

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