Suppose I want to compare two independent groups X1 and X2 with respect to one latent variable Z (comprises 3 indicators Z1, Z2, and Z3) through SPSS. Is it possible to use Z as Test variable instead of using Z1, Z2, and Z3 separately?
I think this is possible. First, you need to save the latent Variable Z to your data set, e.g. by saving predicted values in a linear regrerssion. Then you can analyze the variable as usual in SPSS. U-Test can be found under "non parametric tests"
Thank you. Suppose I have a data set in SPSS where there are 5 indicators viz. trust1,...,trust5 to measure the construct 'trust'. Now I want to compare trust across gender categories. Now if I want to go for Mann-Whitney U test, how could I select 'trust' as Test variable instead of choosing individual indicators viz. trust1,...trust5?
You need to create the latent variable "trust", e.g. by doing a factor analysis with the variables trust1,...,trust5 (which supposedly define one factor) and saving the factor scores. Then you enter the factorscores into the U-Test.