Table 1.

Theoretical values of skewness and kurtosis for z_i (four factors).

zi	Latent variable
	Normala		Slightly skewedb		Strongly skewedc
	$\sqrt{{\beta }_{1i}}$	β2i	$\sqrt{{\beta }_{1i}}$	β2i	$\sqrt{{\beta }_{1i}}$	β2i
z1	0	3	−0.060	3	−0.599	4.202
z2	0	3	−0.049	3	−0.488	3.914
z3	0	3	−0.038	3	−0.377	3.649
z4	0	3	−0.027	3	−0.272	3.420
z5	0	3	−0.018	3	−0.179	3.240
z6	0	3	−0.010	3	−0.102	3.114
z7	0	3	−0.049	3	−0.488	3.914
z8	0	3	−0.038	3	−0.377	3.649
z9	0	3	−0.027	3	−0.272	3.420
z10	0	3	−0.018	3	−0.179	3.240
z11	0	3	−0.010	3	−0.102	3.114
z12	0	3	−0.005	3	−0.047	3.041
z13	0	3	−0.027	3	−0.272	3.420
z14	0	3	−0.027	3	−0.272	3.420
z15	0	3	−0.018	3	−0.179	3.240
z16	0	3	−0.010	3	−0.102	3.114
z17	0	3	−0.010	3	−0.102	3.114
z18	0	3	−0.005	3	−0.047	3.041
z19	0	3	−0.027	3	−0.272	3.420
z20	0	3	−0.018	3	−0.179	3.240
z21	0	3	−0.018	3	−0.179	3.240
z22	0	3	−0.010	3	−0.102	3.114
z23	0	3	−0.005	3	−0.047	3.041
z24	0	3	−0.005	3	−0.047	3.041

^aμ_1m = 0, μ_2m = 1, μ_3m = 0, and μ_4m = 3.

^bμ_1m = 0, μ_2m = 1, μ_3m = − 0.20, and μ_4m = 3.

^cμ_1m = 0, μ_2m = 1, μ_3m = − 2, and μ_4m = 9.