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On / By / With

On / By / With. The building blocks of the Mplus language. (regressed) On. X 1. Y 1. Outcome Y 1 is regressed ON covariate X 1. (regressed) On. X 1. Y 1. Y 3. X 2. Y 2. X 3. (measured) By. Y 1.

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On / By / With

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

  2. (regressed) On X1 Y1 Outcome Y1 is regressed ON covariate X1

  3. (regressed) On X1 Y1 Y3 X2 Y2 X3

  4. (measured) By Y1 Latent, continuous factor F is measured BY the 4 continuous manifest variables Y1 – Y4 Y2 F Y3 Y4

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

  6. (correlated) With Factor F1 is correlated with factor F2 F1 F2

  7. By / With Y1 Factor F1 is measured by Y1, Y2 Factor F2 is measured by Y3, Y4 Factors F1 and F2 are correlated F1 Y2 Y3 F2 Y4

  8. By / With Y1 Factor F1 is measured by Y1, Y2 F1 Y2 Y3 F2 Y4

  9. By / With Y1 Factor F1 is measured by Y1, Y2 Factor F2 is measured by Y3, Y4 F1 Y2 Y3 F2 Y4

  10. By / With Y1 Factor F1 is measured by Y1, Y2 Factor F2 is measured by Y3, Y4 Factors F1 and F2 are correlated F1 Y2 Y3 F2 Y4

  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…. Y1 X1 F1 Y2 X2 Y3 F2 X3 Y4

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