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. Author manuscript; available in PMC: 2014 Jan 1.
Published in final edited form as: Struct Equ Modeling. 2013 Jan 29;20(1):148–156. doi: 10.1080/10705511.2013.742403

Table 3.

Summary of Simulation Results for Condition 2. (Factors and errors are nonnormally distributed, and are independent.)

Sample Size
Test Statistics 50 100 250 500 1,000 2,500 5,000
ML
Mean 101.317 93.059 89.735 87.148 88.238 87.042 86.464
SD 15.589 14.601 13.939 13.438 12.830 14.012 13.547
Type I Error 0.296 0.116 0.065 0.054 0.052 0.054 0.054
Empirical Power 0.456 0.504 0.89 1.00 1.00 1.00 1.00

SB scaled / new
Mean 107.84 / 61.977 95.879 90.939 87.661 88.534 87.141 86.894
SD 16.111 / 9.259 15.116 14.005 13.280 12.874 13.977 13.547
Type I Error 0.45 / 0.272 0.156 0.082 0.058 0.052 0.058 0.05
Empirical Power 0.622 / 0.438 0.598 0.90 1.00 1.00 1.00 1.00

MV
Mean 26.048 35.284 52.248 63.321 74.048 80.744 83.581
SD 5.104 6.788 8.5772 9.657 10788 12.833 12.985
Type I Error 0.056 0.038 0.038 0.034 0.042 0.044 0.05
Empirical Power 0.126 0.208 0.81 1.00 1.00 1.00 1.00

MS
Mean 12.682 16.457 27.149 40.114 53.378 69.21 77.486
SD 3.964 5.0237 6.603 7.776 8.879 11.006 11.975
Type I Error 0.002 0.004 0.002 0.008 0.022 0.034 0.05
Empirical Power 0.014 0.032 0.532 0.994 1.00 1.00 1.00