Question

I have a question about general linear models.

My current model is set up as such:

y=??+?1∗??h???+?2∗ⅹ+?3 ∗??h???∗ⅹ

B is the change from the intercept

Y= is the predicted metabolite value

β0 = Is the mean of metabolites for control ( or the intercept). B= 2.402

β1 *(cohort) = the mean of the metabolite value without the inflammatory marker for subjects this is from the control, B=.353

X= total inflammation

β2 *x= the slope of control when inflammation is added. B= 1.112E-5

?3 ∗??h???∗ⅹ= the difference between control slope when the subject slope is added. B= -1.986E-5

In the context of these parameter values, to the model what do they physically mean? Eg. what does it mean when x=0, and what does it mean that  B=.353 what it is added to the model.

Answer 1

Physical meaning of parameters are as follows for the given example:

B0 = 2.402 : It says that,

β1 = 0.353: it signifies, there will be mean change of 0.353 units in y when there is a unit increase in the mean of the metabolite value without the inflammatory marker for subjects this is from the control

B2= 1.112E-5 : It signifies, there will be mean change of 1.112E-5 units in the dependent variable i.e y because of change in unit value of X( total inflammation) which means the mean value of y will increase by 1.112E-5 units when there is unit change in total inflamation

B3:   -1.986E-5 : there will be mean decrease of -1.986E-5 in the y, when the difference between control slope when the subject slope is added by one unit