Table 5.
Goodness-of-fit indices for structural models representing confirmatory factor analyses of Moral Foundations Questionnaire data collected on yourmorals.org (N=34,476)
| Relevance items | χ2 | df | εa | Δχ2/Δdf | 95%CI εaΔ |
|---|---|---|---|---|---|
| [1] Single factor | 57093.3 | 90 | .100 | ||
| [2] Two correlated factors | 20180.0 | 89 | .060 | 36913.3/1 | 1.024 – 1.045 |
| [3] Three correlated factors | 17658.0 | 87 | .057 | 2522.0/2 | 0.184 – 0.199 |
| [4] Five correlated factors | 11347.5 | 80 | .047 | 6310.5/7 | 0.158 – 0.166 |
| Judgment items | χ2 | df | εa | Δχ2/Δdf | 95%CI εaΔ |
| [1] Single factor | 32485.5 | 90 | .076 | ||
| [2] Two correlated factors | 17270.0 | 89 | .055 | 15215.5/1 | 0.654 – 0.675 |
| [3] Three correlated factors | 12191.4 | 87 | .047 | 5078.6/2 | 0.264 – 0.279 |
| [4] Five correlated factors | 11084.6 | 80 | .047 | 1106.8/7 | 0.064 – 0.072 |
| Full MFQ (all items) | χ2 | df | εa | Δχ2/Δdf | 95%CI εaΔ |
| [1] Single factor | 138995.4 | 405 | .073 | ||
| [2] Two correlated factors | 74542.9 | 404 | .054 | 64452.5/1 | 1.357 – 1.378 |
| [3] Three correlated factors | 63074.0 | 402 | .050 | 11468.9/2 | 0.400 – 0.415 |
| [4] Five correlated factors | 53894.1 | 395 | .046 | 9179.9/7 | 0.191 – 0.199 |
Note. εa = root-mean-square error of approximation (RMSEA) for the model. Δχ2/Δdf = change in χ² and degrees of freedom relative to the previous model. 95%CI εaΔ = confidence interval around RMSEA of the change in fit between models; if .050 falls within the CI, then model fits are not considered significantly different. Model in bold is the best-fitting model according to these comparisons.