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. Author manuscript; available in PMC: 2019 Oct 4.
Published in final edited form as: Struct Equ Modeling. 2016 Apr 21;23(4):601–614. doi: 10.1080/10705511.2016.1158655

Table 4.

Parameter estimates from the adjusted three-step approach including the direct covariate effect at step-1

Study conditions Estimated parameters
No. C on
z
x
with
z
y on z Class 1 Class 2 Step-1 Step-3
Intercept
00=.00)
Slope
10=.20)
Intercept
01=.50)
Slope
11=.70)
Class mean
0=.00)
y on z (β2) C on z (γ0) Int. Prob
0=.00)

1 0 0 0 .01 (.05) .20 (.04) .50 (.04) .70 (.03) −.02 (.25) .00 (01) −.01 (.07) −.02 (.25)
2 0 .5 0 .00 (.05) .20 (.04) .50 (.04) .70 (.03) .02 (.24) .00 (.01) .07 (.41) .02 (.27)
3 0 0 .5 −.01 (.05) .19 (.04) .50 (.04) .70 (.03) −.03 (.25) .50 (.01) .00 (.08) −.03 (.25)
4 0 .5 .5 −.01 (.05) .20 (.04) .50 (.04) .70 (.03) .00 (.25) .50 (.01) .08 (.39) .01 (.28)
5 −.69 0 0 .02 (.05) .20 (.04) .48 (.04) .70 (.03) .00 (.25) .06 (.01) −.49 (.10) .00 (.26)
6 −.69 .5 0 .05 (.06) .17 (.06) .46 (.03) .66 (.03) −.26 (.31) .06 (.01) −.29 (.37) −.25 (.36)
7 −.69 0 .5 .02 (.05) .20 (.05) .48 (.04) .70 (.03) .00 (.26) .56 (.01) −.48 (.11) −.01 (.27)
8 −.69 .5 .5 .04 (.06) .17 (.06) .46 (.03) .66 (.03) −.27 (.30) .56 (.01) −.27 (.28) −.27 (.32)
9 −1.1 0 0 .04 (.05) .20 (.05) .46 (.04) .70 (.04) .01 (.29) .09 (.01) −.77 (.15) .01 (.31)
10 −1.1 .5 0 .09 (.10) .16 (.07) .44 (.03) .65 (.04) −.35 (.37) .09 (.01) −.57 (.41) −.35 (.44)
11 −1.1 0 .5 .04 (.05) .20 (.05) .46 (.04) .70 (.03) .02 (.28) .59 (.01) −.77 (.16) .01 (.31)
12a −1.1 .5 .5 .09 (.06) .17 (.08) .44 (.04) .66 (.04) −.32 (.38) .59 (.01) −.64 (.62) −.31 (.53)
a

Note.There was one extreme value (i.e., −90.03) and excluded from calculating the mean of the parameter estimates.