1. In my SEM model, a factor loading is negative. This negative sign is theoretical justified and expected. However, an SEM expert warns me that this negative loading is abnormal because factor loadings are usually positive in many published SEM academic articles. Also, this negative loading will make the estimation of factor score incorrect. So, does this negative loading undermine factor score estimation?
2. What method is used to estimate factor score in lavaan? I use both Mplus and lavaan to get factor scores but estimated scores are completely different. I am wondering which one is more reliable and correct, especially how each method treat negative factor loading?
Estimated factor scores by Mplus
stats | CTRLL KHOE KNOW DECENT
---------+----------------------------------------
mean | .0040838 -.0459148 .0002261 -.0053508
p50 | -.004 .069 -.041 -.046
sd | .2859547 .423202 .4512706 .3871198
variance | .0817701 .1790999 .2036451 .1498617
min | -.599 -4.561 -1.033 -.958
max | 3.251 .069 1.265 3.709
skewness | 1.619585 -5.125411 -.258883 1.436217
kurtosis | 12.51759 36.48764 2.289026 10.07998
Estimated factor scores by lavaan
stats | ctrll khoe know decent
---------+----------------------------------------
mean | .0087576 -.0336394 .006804 -.0012661
p50 | .000234 .0551334 -.0603237 -.1009806
sd | .8529798 .5595305 1.347304 1.177778
variance | .7275745 .3130744 1.815227 1.387161
min | -2.607173 -6.312629 -3.291503 -2.920526
max | 7.274452 2.248832 4.471202 9.173009
skewness | .8928723 -4.762663 -.1173813 1.216637
kurtosis | 6.602086 38.59525 2.377692 7.957119
Thank you very much,
Dai
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