# How to Interpret Reflective Measurement Model?

Given $F$ is a latent construct (cause), and $Y_1$, $Y_2$, and $Y_3$ are the manifest (indicator) variables (effects) which are measured. Then, there are two groups of people (A and B). According to the measurement result, people in Group A averagely have higher scores in all effects: Y1, Y2, and Y3. Namely:

• Group A's average score of Y1 is higher than Group B's average score of Y1
• Group A's average score of Y2 is higher than Group B's average score of Y2
• Group A's average score of Y3 is higher than Group B's average score of Y3.

Then, how can I conclude or interpret the result:

1. All people in Group A have higher X than do all people in Group B.
2. The people in Group A averagely have higher X than do the people in Group B.
3. The people in Group A may averagely have higher X than may the people in Group B.
4. The people in Group A are more likely to have higher X than are the people in Group B.

Which interpretation(s) are correct or none of the above? I guess (3) and (4) are correct, but not sure. (2) also looks not bad.

Could anyone please teach me how to interpret the result of reflective models?

Thank you!!