如何在 lavaan 的多组测量不变性中为某些组指定不同的模型？

Question

我有一个数据集，其中一些（但不是全部）受试者在时间 2 参与。我想运行跨时间和跨组的测量不变性分析.当然，对于那些只参加时间1的人，时间2的潜变量不会为他们估计。

在 lavaan 中，您可以为模型中的每个变量指定不同的权重，方法是在其前面加上权重向量。例如，c(0.5, 0.2) 将为第一组赋予 0.5 的权重，为第二组赋予 0.2 的权重。我的问题是我不能对潜在变量这样做。 我的问题：如何告诉 lavaan 只为一组而不是另一组估计潜在变量？

示例代码：

model <- '
# Measurement model ---
factor1_time1 =~ 1*var1_t1 + var2_t1 + var3_t1
factor2_time1 =~ 1*var4_t1 + var5_t1 + var6_t1
factor3_time1 =~ 1*var7_t1 + var9_t1 + var9_t1

# !! Note: I only want this to apply to one of the groups !!
factor1_time2 =~ 1*var1_t2 + var2_t2 + var3_t2
factor2_time2 =~ 1*var4_t2 + var5_t2 + var6_t2
factor3_time2 =~ 1*var7_t2 + var9_t2 + var9_t2

# Factor Covariances ---

# all time 1 factors with each other
factor1_time1 ~~ factor2_time1
factor1_time1 ~~ factor3_time1
factor2_time1 ~~ factor3_time1

# all time 2 factors with each other
factor1_time2 ~~ factor2_time2
factor1_time2 ~~ factor3_time2
factor2_time2 ~~ factor3_time2

# factor1_time1 with all Time 2 factors
factor1_time1 ~~ factor1_time2
factor1_time1 ~~ factor2_time2
factor1_time1 ~~ factor3_time2

# factor2_time1 with all Time 2 factors
factor2_time1 ~~ factor1_time2
factor2_time1 ~~ factor2_time2
factor2_time1 ~~ factor3_time2

# factor3_time1 with all Time 2 factors
factor3_time1 ~~ factor1_time2
factor3_time1 ~~ factor2_time2
factor3_time1 ~~ factor3_time2

# Lag item residuals ---
#factor1 items
var1_t1 ~~ var1_t2
var2_t1 ~~ var2_t2
var3_t1 ~~ var3_t2

#factor2 items
var4_t1 ~~ var4_t2
var5_t1 ~~ var5_t2
var6_t1 ~~ var6_t2

#factor 3 times
var7_t1 ~~ var7_t2
var8_t1 ~~ var8_t2
var9_t1 ~~ var9_t2
'

Answer 1

（此答案归功于阿姆斯特丹大学的 Jorgensen 博士）

library(lavaan)

HS.model <- '
group: 1
visual  =~ x1 + a*x2 + b*x3
textual =~ x4 + x5 + x6

group: 2
visual  =~ x1 + a*x2 + b*x3
speed   =~ x7 + x8 + x9
'

fit <- cfa(HS.model, data=HolzingerSwineford1939, group="school")

如何在 lavaan 的多组测量不变性中为某些组指定不同的模型？

How to specify different model for certain groups in multigroup measurement invariance in lavaan?

r

r-lavaan