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Interpretaton of regression coefficients |
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Fuzhong Li posted on Tuesday, May 26, 2009 - 5:42 pm
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Hi, I have a question regarding how to interpret the linear regression of the random intercept c#1 of the categorical latent variable c on the cluster-level covariate w (Example 10.9 in the Guide). In a multilevel mixture model of the between part, suppose I have two trajectory classes with c#1 representing a decline trajectory in body mass index (BMI) and c#2 (reference) representing a increase trajectory and that I have a positive relation between the cluster-level covariate (e.g., neighborhood land use mix) and the random intercept (c#1) in the between-part of the model, does that positive linear regression coefficient means "increases in neighborhood land mix lead to decreases in BMI decline in Class 1 compared to Class 2” This seems to be a very basis regression analysis question, but I guess I do not completely understand the meaning of this intercept. I cut and paste that part of Mplus output below (Land means urban land use mix). Any insight would be appreciated. Thank you. Fuzhong Between Level C#1 ON SES -0.002 0.009 -0.201 0.841 LAND 0.025 0.012 1.999 0.046 |
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We talk about such interpretation in our latest version of the Topic 8 short course. The handout is on our web site. It's about how a cluster-level phenomenom influences an individual's outcome via a random intercept. Using words of your application, an increasing land use mix (on Between) increases the c#1 intercept (on Between) which means an increase in the odds that an individual (in that Between unit) belongs to class 1, namely the declining class, as opposed to class 2. |
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Fuzhong Li posted on Monday, June 15, 2009 - 5:15 pm
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Many thanks. Follwing your suggestion, i did watch the clip (course 8) a couple of times and it was very helpful. (sorry for not being able to respond early. I had to make an unpected overseas trip the last couple of weeks). fuzhong |
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