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Statistics版 - how to interpret these regression coefficients?
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话题: va话题: baseline话题: category话题: regression
进入Statistics版参与讨论
1 (共1页)
b******s
发帖数: 325
1
新手急需要帮助解释下REGRESSION COEFFICIENT.谢谢帮忙先!!!
Model:
Dependent var: Delta Y (which is the outcome change between baseline and a
follow-up measurement point)
Indepdent vars: baseline score category 1, baseline score category 2 (NOTE:
category 3 is the omitted category), plus a bunch of "state" dummies (VA, IN
, MD with MS as the ommited category) and a "treatment model" dummy (where 1
= diversion; 0, transition).
QUESTION 1:
So the constant is interpreted as "the average outcome change for population
in the baseline score category 3, in MS and and treated by transition."
And the summation of coefficients for "constant" and "baseline score
category 1" is interpreted as "the average outcome change for population in
the baseline score category 1, in MS and and treated by transition."
And the summation of coefficients for "constant" and "baseline score
category 1" and "VA" is interpreted as "the average outcome change for
population in the baseline score category 1, in VA and and treated by
transition."
Are the above three statements CORRECT?
QUESTION 2:
So let's say, for state VA, there is no data varition of the "treatment
model" so that all data has the value of "transition" for the variable "
treatment model".
How would that affect the interpreation of coefficients for VA?
w*******9
发帖数: 1433
2
1. True
2. I don,t think there is any consequence in interpretation. It seems in
this case you can't make statement like the mean response of people in va
treated by diversion, but actually the model assumes additive effects so you
can do this.
Just my 2cents
b******s
发帖数: 325
3
Thanks for your confirmation.
What does "additive effects" mean? i am not very clearlly on what you meant
there. Here is my original guess.
"In the interpretation of the case above, we are saying the effects for a
diversion case in VA would be such… Note, to do that interpretation, we
are not saying VA has any diversion case; we instead are implicitly saying,
should VA have a diversion, the effect would have been such … My bold
guess is the variation of VA’s population is memorized/used by the
regression model, so data values of other states are inherently picked up by
the regression and applied to the VA population so that we can make that
kind of coefficient interpretation." What do you think?

you

【在 w*******9 的大作中提到】
: 1. True
: 2. I don,t think there is any consequence in interpretation. It seems in
: this case you can't make statement like the mean response of people in va
: treated by diversion, but actually the model assumes additive effects so you
: can do this.
: Just my 2cents

w*******9
发帖数: 1433
4
Correct, that what the "additive effects" means --- the effects of baseline
category, states and treatment are added together to model the overall
outcome.

meant
saying,
by

【在 b******s 的大作中提到】
: Thanks for your confirmation.
: What does "additive effects" mean? i am not very clearlly on what you meant
: there. Here is my original guess.
: "In the interpretation of the case above, we are saying the effects for a
: diversion case in VA would be such… Note, to do that interpretation, we
: are not saying VA has any diversion case; we instead are implicitly saying,
: should VA have a diversion, the effect would have been such … My bold
: guess is the variation of VA’s population is memorized/used by the
: regression model, so data values of other states are inherently picked up by
: the regression and applied to the VA population so that we can make that

b******s
发帖数: 325
5
Thanks so much again! So would you mind suggest some e language on how we
precisely interpret/describe the coefficients (for constant, coefficient for
VA, coefficient for diverison/transition) using the "additive effects"?

baseline

【在 w*******9 的大作中提到】
: Correct, that what the "additive effects" means --- the effects of baseline
: category, states and treatment are added together to model the overall
: outcome.
:
: meant
: saying,
: by

1 (共1页)
进入Statistics版参与讨论
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话题: va话题: baseline话题: category话题: regression