Table 1: Monte Carlo simulation for model sample sizes ranging from N = 50 to N = 1000..
Model | N | Cycle | Χ2 | CFI | RMSEA | SRMR | Coverage | RPEB | RPSEB | Power | Acceptable |
---|---|---|---|---|---|---|---|---|---|---|---|
Hollins Martin and Martin [3] | 228 | 1 | 46.86 | 0.97 | 0.05 | 0.05 | 0.93-0.96 | 0.01-0.02 | 0.01-0.04 | 0.95-1 | Yes |
2 | 47.93 | 0.97 | 0.05 | 0.05 | 0.93-0.96 | 0.01-0.02 | 0.01-0.05 | 0.95-1 | Yes | ||
Barbosa-Leiker, et al. [4] | 181 | 1 | 47.64 | 0.96 | 0.05 | 0.06 | 0.93-0.97 | 0.01-0.03 | 0.01-0.05 | 0.88-1 | Yes |
2 | 47.28 | 0.96 | 0.05 | 0.06 | 0.93-0.97 | 0.01-0.04 | 0.01-0.05 | 0.88-1 | Yes | ||
Vardavaki, et al. [6] | 162 | 1 | 47.9 | 0.95 | 0.06 | 0.06 | 0.93-0.97 | 0.01-0.04 | 0.01-0.06 | 0.84-1 | No |
2 | 47.77 | 0.95 | 0.06 | 0.06 | 0.93-0.97 | 0.01-0.04 | 0.01-0.07 | 0.84-1 | No | ||
Small sample 1 | 50 | 1 | 50.96 | 0.84 | 0.11 | 0.11 | 0.89-0.98 | 0.02-0.11 | 0.01-0.41 | 0.17-1 | No |
2 | 51.53 | 0.83 | 0.11 | 0.11 | 0.89-0.97 | 0.02-0.12 | 0.01-0.47 | 0.18-1 | No | ||
Small sample 2 | 100 | 1 | 48.73 | 0.92 | 0.07 | 0.07 | 0.92-0.97 | 0.01-0.05 | 0.01-0.12 | 0.56-1 | No |
2 | 48.92 | 0.92 | 0.07 | 0.08 | 0.91-0.96 | 0.01-0.05 | 0.01-0.09 | 0.56-1 | No | ||
Small sample 3 | 150 | 1 | 47.36 | 0.95 | 0.06 | 0.06 | 0.93-0.97 | 0.01-0.04 | 0.01-0.06 | 0.81-1 | No |
2 | 48.26 | 0.95 | 0.06 | 0.06 | 0.93-0.97 | 0.01-0.03 | 0.01-0.06 | 0.80-1 | No | ||
Small sample 4 | 175 | 1 | 48.11 | 0.96 | 0.05 | 0.06 | 0.93-0.96 | 0.01-0.03 | 0.01-0.05 | 0.87-1 | Yes |
2 | 47.58 | 0.96 | 0.05 | 0.06 | 0.93-0.97 | 0.01-0.04 | 0.01-0.05 | 0.87-1 | Yes | ||
Medium sample 1 | 200 | 1 | 47.81 | 0.96 | 0.05 | 0.05 | 0.93-0.97 | 0.01-0.03 | 0.01-0.05 | 0.91-1 | Yes |
2 | 47.8 | 0.96 | 0.05 | 0.05 | 0.93-0.97 | 0.01-0.03 | 0.01-0.05 | 0.91-1 | Yes | ||
Medium sample 2 | 400 | 1 | 46.91 | 0.98 | 0.03 | 0.04 | 0.94-0.96 | 0.01-0.01 | 0.01-0.04 | 0.99-1 | Yes |
2 | 47.2 | 0.98 | 0.03 | 0.04 | 0.94-0.97 | 0.01-0.01 | 0.01-0.03 | 0.99-1 | Yes | ||
Large sample 1 | 500 | 1 | 46.56 | 0.99 | 0.03 | 0.03 | 0.94-0.96 | 0.01-0.01 | 0.01-0.03 | 0.99-1 | Yes |
2 | 47.1 | 0.99 | 0.03 | 0.03 | 0.94-0.96 | 0.01-0.01 | 0.01-0.03 | 0.99-1 | Yes | ||
Large sample 2 | 1000 | 1 | 46.69 | 0.99 | 0.02 | 0.02 | 0.94-0.95 | 0.01-0.01 | 0.01-0.02 | ~1 | Yes |
2 | 46.61 | 0.99 | 0.02 | 0.02 | 0.94-0.95 | 0.01-0.01 | 0.01-0.02 | ~1 | Yes |
CFI: Comparative Fit Index; RMSEA: Root Mean Squared Error of Approximation; SRMR: Standardised Root Mean Residual; RPEB: Relative Parameter Estimate Bias; RPSEB: Relative Parameter Standard Error Bias; RPEB and RPSEB criteria for acceptability ≤ 0.05, Acceptable coverage range 0.91-0.98.