Regression Model in SEM (Structural Equation Model); maximizing the usefulness of the Slope


As I introduce the versatility of using SEM in research in my previous blog, at this time I will further share the importance of Regression Model or Regression Analysis in SEM.  As Correlation and Regression analysis is known to the measurement and testing of association, therefore Regression Analysis is useful in SEM modeling in testing the associative relationship of the model. 

Least Squares Regression 
The fundamental observation of variables by using regression analysis is by two variables or between two variables.  Usually the given series of given data is represented by two groups frequently X and Y.  As Y is the Independent variable and X is the dependent variable, the movement of X is dependent to the movement of Y.  


Any negative behavior movement of X is a variance movement towards Y. If the series of events of X is congruent to the series events of Y then the correlation of the two variables are high which means that the given X and Y is closely related to each other.  But on the contrary, if the observed variable is far enough to prove that its behavior is not the same with the latent variable therefore the given two variables are not related to each other.  

Further representation of Regression Modeling is best presented through the use of line graphical presentation. By using line graph presentation each given event is well observed through a series.

Least Squares Multiple Regression
Multiple Regression Analysis implies to the testing of several dependent variables basing from one independent variable. Dependent variables are usually represented by X1, X2, X3, & X4. As to the SEM modeling, sometimes the independent variable may use more than one Independent variable depending upon the SEM model.  



As to this case, to make it simpler we will only discuss the common example of Multiple Regression model using one Y and four Xs.  With one independent variable all dependent variables will be subject to a test with the independent variable.  

With the same nature of test in the two variables testing, multiple regressions applies the same process to all given dependent variables and with a series of events, the nearest correlation behavior to the independent variable Y is the highest possible X variable to be chosen as a predictor.

Variance
Variance usually occurs from one event of a dependent variable basing it to the corresponding independent variable movement.  The distance between the independent variable and the dependent variable are commonly called the variance.  The variances of the series of events between the X and the Y will determine for the whole correlation of the two groups of variables.

As for the SEM modeling, regression model will get complicated as the structural framework of the study will completely define the desired data analysis.

Comments

Unknown said…
Just took Statistics subject last semester and I find it to be so interesting. It's quite complicated though but with constant practice with different data, it will later on be quite easy to solve. Thanks a lot for sharing this simple but clear contents. :)
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Avant-Garde said…
I'm very happy that you find my blog helpful in your studies. I'm not good in statistics...but the only key to be successful in studying statistics is PRACTICE and PATIENCE

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