I want to test the hypothesis that observed variables can be explained by one latent variable (factor), does a confirmatory factor analysis allow me to test such a hypothesis?
- Data: 200 responses on 23 questions (measured on a 5-point Likert scale)
- Method: confirmatory factor analysis with one factor loading on all the questions
- Hypothesis: One factor is sufficient to explain the variation in the observed variables
Can I say it tests my hypothesis that a one factor is sufficient to explain the observed data? What is the null hypothesis in confirmatory factor analysis?