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Learn how to regress, measure, and correlate factors in the Mplus language. Explore relationships between variables and factors, with practical examples and guidelines.
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On / By / With The building blocks of the Mplus language
(regressed) On X1 Y1 Outcome Y1 is regressed ON covariate X1
(regressed) On X1 Y1 Y3 X2 Y2 X3
(measured) By Y1 Latent, continuous factor F is measured BY the 4 continuous manifest variables Y1 – Y4 Y2 F Y3 Y4
(measured) By F by y1 – y4; • Alternatively F by y1* y2 y3 y4; F@1;
(correlated) With Factor F1 is correlated with factor F2 F1 F2
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
By / With Y1 Factor F1 is measured by Y1, Y2 F1 Y2 Y3 F2 Y4
By / With Y1 Factor F1 is measured by Y1, Y2 Factor F2 is measured by Y3, Y4 F1 Y2 Y3 F2 Y4
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
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;
Altogether now…. Y1 X1 F1 Y2 X2 Y3 F2 X3 Y4
