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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 2.

Summary of Simulation Results for Condition 1. (Factors and errors are independently distributed normal variates.)

Sample Size
Test Statistics 50 100 250 500 1,000 2,500 5,000
ML
Mean 102.099 92.891 89.353 89.289 87.414 86.092 86.746
SD 14.888 14.706 13.271 13.331 14.214 12.631 12.504
Type I Error 0.29 0.118 0.074 0.066 0.066 0.046 0.04
Empirical Power 0.474 0.512 0.886 1.00 1.00 1.00 1.00

SB scaled / new
Mean 108.518 / 62.367 95.755 90.415 89.778 87.709 86.203 86.801
SD 15.85 / 9.109 15.028 13.278 13.395 14.262 12.654 12.505
Type I Error 0.48 / 0.274 0.162 0.084 0.072 0.068 0.048 0.038
Empirical Power 0.618 / 0.436 0.59 0.902 1.00 1.00 1.00 1.00

MV
Mean 30.535 41.937 59.432 71.121 77.581 81.923 84.59
SD 4.795 6.344 8.317 10.533 12.429 11.954 12.143
Type I Error 0.078 0.048 0.04 0.05 0.062 0.036 0.036
Empirical Power 0.162 0.29 0.83 1.00 1.00 1.00 1.00

MS
Mean 16.639 22.969 36.836 50.894 63.256 74.562 80.501
SD 3.631 4.059 5.276 7.246 9.933 10.767 11.479
Type I Error 0.01 0.008 0.012 0.028 0.042 0.034 0.038
Empirical Power 0.028 0.1 0.716 1.00 1.00 1.00 1.00