1. On / By / With The building blocks of the Mplus language

2. (regressed) On X1X1 Y1Y1 Outcome Y 1 is regressed ON covariate X 1

3. (regressed) On X2X2 Y1Y1 X1X1 X3X3 Y2Y2 Y3Y3

4. (measured) By Y1Y1 Y2Y2 Y4Y4 Y3Y3 F Latent, continuous factor F is measured BY the 4 continuous manifest variables Y 1 – Y 4

5. (measured) By F by y1 – y4; Alternatively F by y1* y2 y3 y4; F@1;

6. (correlated) With Factor F 1 is correlated with factor F 2 F1F1 F2F2

7. By / With Y1Y1 Y2Y2 Y4Y4 Y3Y3 F1F1 Factor F 1 is measured by Y 1, Y 2 Factor F 2 is measured by Y 3, Y 4 Factors F 1 and F 2 are correlated F2F2

8. By / With Y1Y1 Y2Y2 Y4Y4 Y3Y3 F1F1 Factor F 1 is measured by Y 1, Y 2 F2F2

9. By / With Y1Y1 Y2Y2 Y4Y4 Y3Y3 F1F1 Factor F 1 is measured by Y 1, Y 2 Factor F 2 is measured by Y 3, Y 4 F2F2

10. By / With Y1Y1 Y2Y2 Y4Y4 Y3Y3 F1F1 Factor F 1 is measured by Y 1, Y 2 Factor F 2 is measured by Y 3, Y 4 Factors F 1 and F 2 are correlated F2F2

11. By / With F1 by y1 y2; F2 by y3 y4; F1 with F2; Or F1 by y1* y2; F2 by y3* y4; F1 with F2; F1@1 F2@0;

12. Altogether now…. Y1Y1 Y2Y2 Y4Y4 Y3Y3 F1F1 F2F2 X1X1 X2X2 X3X3